tag:blogger.com,1999:blog-24300940449988941532017-04-17T05:36:36.523-07:00Betta MathBetta Mathnoreply@blogger.comBlogger36125tag:blogger.com,1999:blog-2430094044998894153.post-19646467188002337402015-03-10T19:28:00.000-07:002015-03-10T19:28:50.137-07:00Catching Up!I just realized the sad fact that it has been since August that I wrote my last blog. Shame on me! I have decided to fill you (the reader) in on what I have been doing in my classroom.<br /><br />First, I must say that while I loved being a regular classroom 6th grade teacher and never thought I would be able to top this position, I believe that I actually have found a position I enjoy even more. This is my first year as the Math Enrichment teacher at my school and I absolutely love it! I am basically a math coach and I work with both 6th and 7th grade students who have some trouble with various math concepts. My job is to pinpoint where the students are struggling with concepts that parallel what is being taught in their regular education math class. It is like a puzzle because different kids are at different places and require specialized help. They have diverse learning styles and I have the privilege of working with most of the school population to help them become stronger in math. Taking time to reflect upon this experience now that I am three-fourths of the way through this year, I really have found it rewarding to have the opportunity to look work closely with the students to determine exactly where they got off track with the concept that are being studied and then build them back up from that misconception to see them grow and become more confident in their ability to understand math.<br /><br />This is also a position that requires me to be a floating teacher. I actually like being on the cart (crazy right?) because it helps me to be a stronger teacher. I will be posting some tricks of the trade that I have learned wheeling my cart around the school. If you are also a floating teacher, I hope you will check back in to read about my positive experiences as a floating teacher.<br /><br /><br />Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-62682709550892276262014-08-31T19:46:00.001-07:002014-08-31T19:51:27.231-07:00Making Sense Out of Multiplication...<a href="http://3.bp.blogspot.com/-DytbftwxI-o/VAPU-y5LTbI/AAAAAAAAAh0/XiL9fysHORE/s1600/BEtta%2BMath.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-DytbftwxI-o/VAPU-y5LTbI/AAAAAAAAAh0/XiL9fysHORE/s1600/BEtta%2BMath.jpg" height="200" width="162" /></a><span style="color: purple; font-family: Georgia, Times New Roman, serif;">It seems as though the longer I teach, the more it seems that students just really have difficulty using the multiplication algorithm. When I started to see this more often a few years back, I began to implement the "matrix" or "grilled cheese" method of multiplication. Kids still had trouble with this. It seemed as though this was just a skill that the kids just have to learn. Recently, however, I began to think about how this skill could be learned differently. My students seemed to be pros at multiplying various numbers by a one digit number. I am sure someone else has thought of this before, so I am in no way taking credit for multiplying this way... but when I implemented this method into my Math Enrichment class I saw the light bulbs turn on and it was so exciting that I just had to write this blog. So if you have beat the traditional multiplication algorithm into the ground and are still having students struggle with multiplying, you may want to give this a try. (Bonus: this also shows a real use for the Distributive Property!)</span><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;">I started my lesson off with some really simple problems involving mental math.</span><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-OgfrAEHcVGM/VAPXIvY9lLI/AAAAAAAAAiA/j35nuzEOtGA/s1600/Lesson%2B2.png" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://4.bp.blogspot.com/-OgfrAEHcVGM/VAPXIvY9lLI/AAAAAAAAAiA/j35nuzEOtGA/s1600/Lesson%2B2.png" height="236" width="400" /></a></div><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;">This was to help the students to start thinking about instances where it is easy to use mental math. </span><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;">Next, I introduced the idea of breaking up a multiplication problem on the following manner.</span><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-LkSYjYFsP1w/VAPZ_YhYSZI/AAAAAAAAAiI/NWWeDyRBn4k/s1600/Part%2B1.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-LkSYjYFsP1w/VAPZ_YhYSZI/AAAAAAAAAiI/NWWeDyRBn4k/s1600/Part%2B1.png" height="232" width="320" /></a></div><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;">By breaking up the first part of the product in this way, the student will ultimately have two very easy multiplication problems to evaluate...</span><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-U_QvG4C9ur4/VAPbhuZm2mI/AAAAAAAAAiQ/9z_YDbgqzAw/s1600/Part%2B2.png" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://4.bp.blogspot.com/-U_QvG4C9ur4/VAPbhuZm2mI/AAAAAAAAAiQ/9z_YDbgqzAw/s1600/Part%2B2.png" height="255" width="320" /></a></div><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;">What is nice about this method is that once the second number in the multiplication problem is distributed, the student has two problems involving a number multiplied by a single digit number. This eliminates the need to remember the steps that are involved in multiplying by a two digit number and allows students to utilize some mental math, which makes the whole process much quicker.</span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-AKl2gDj6ZbU/VAPdAsAd2aI/AAAAAAAAAiY/kh8oUZumpS8/s1600/sum.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-AKl2gDj6ZbU/VAPdAsAd2aI/AAAAAAAAAiY/kh8oUZumpS8/s1600/sum.png" height="200" width="176" /></a></div><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;">Finally, the student just has to add both of the products of the two problems that they completed and they have the product of the original problem. My students (even though they tend to struggle with remembering how to multiply) do very well with this method. The ones that were pretty good with the traditional algorithm, find that this way helps them to multiply more quickly, so they also like using it. I hope you will try this with your students! It has done wonders for mine. </span><br /><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;"><br /></span><span style="color: purple; font-family: Georgia, Times New Roman, serif;">I will be posting more about this in days to come. Thanks for reading and Happy Teaching!</span>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com1tag:blogger.com,1999:blog-2430094044998894153.post-12496858125942576902014-04-11T16:00:00.002-07:002014-04-11T16:01:47.870-07:00<h2><span style="color: purple;">Applying Plotting Ordered Pairs: Mathica Monster Activity</span></h2><table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; text-align: left;"><tbody><tr><td style="text-align: center;"><br /><a href="http://4.bp.blogspot.com/-8OUwyXf6D3g/U0hxmmySNNI/AAAAAAAAAhQ/Sg0T9FFZ8d8/s1600/004.002.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://4.bp.blogspot.com/-8OUwyXf6D3g/U0hxmmySNNI/AAAAAAAAAhQ/Sg0T9FFZ8d8/s1600/004.002.png" height="320" width="273" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Mathica Monster</td></tr></tbody></table><strong><span style="color: purple;">I was trying </span><span style="color: purple;">to figure out how to make an engaging lesson to help my students apply their graphing of ordered pairs skills and I think I have made a fun and entertaining lesson! In this activity students work as partners to plot coordinates of various places in "Scarytown" in order to help Mathica Monster find her way around. I like to try to make math fun for the kids because I think this makes both your day and theirs go much faster and helps to limit excessive behavior problems. </span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">This lesson really helped students to understand the concept of distance between points on a coordinate plane and to apply graphing ordered pairs in relationship to other positions. Even though this year has been tough because we are transitioning to a new and more deep curriculum, I have seen some positive strides over the course of the year from when I first started working with my students to now. It takes time to help students learn how to apply math rather than merely complete basic skills. I am excited to see how I can grow as a teacher and how my students in the future will benefit from going deeper into the math concepts. This blog is my way of reflecting and sharing my ideas of what works with my fellow educators. This was definitely a lesson that I felt enriched the students' understanding of this concept. This lesson can be found at <a href="http://www.teacherspayteachers.com/Product/Applying-Coordinates-with-Mathica-Monster-1203348" target="_blank">my TpT store for FREE</a> please stop by and browse some of my other resources. If you like what you see please FOLLOW ME.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">Here is a video preview of the Mathica Monster Lesson. Thanks for stopping by and I hope you come back!</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/BbgiA1CtcXQ?feature=player_embedded' FRAMEBORDER='0' /></div><br /><strong><span style="color: purple;"></span></strong>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-31348338620396795622014-04-05T15:47:00.000-07:002014-04-07T08:10:10.165-07:00Reflecting Ordered Pairs Across the Axes: A Hands On Activity Using Mirrors<span style="color: purple; font-family: Georgia, "Times New Roman", serif;"><strong>It has been a while since I have written a blog entry. (Snow days and state testing has backed a lot of my lesson planning up). I am very excited to write about a recent lesson that I completed with my students that involved reflecting across the x and y-axis. </strong></span><br /><strong><span style="color: purple; font-family: Georgia;"></span></strong><br /><strong><span style="color: purple; font-family: Georgia;">In this lesson, students discovered the mathematical patterns behind reflecting ordered pairs and collections of ordered pairs across the x-axis and y-axis. The students used mirrors to help them see what was happening. It was a lot of fun watching them discover this and it was rewarding to even see my lower ability classes coming up with some amazing observations. (View the video to see this lesson in action.)</span></strong><br /><strong><span style="color: purple; font-family: Georgia;"></span></strong><br /><div align="left" class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/bw89tfs7dWs?feature=player_embedded' FRAMEBORDER='0' /></div><div style="clear: both; text-align: left;"><span style="color: purple;"><strong>Students started out with a short video showing them how to use the mirrors to reflect across each axis. </strong></span></div><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/gzIhmKjxUQA?feature=player_embedded' FRAMEBORDER='0' /></div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;"></span></strong> </div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;"></span></strong> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-RpuMd5N9jSw/U0CG1ZdY2GI/AAAAAAAAAgw/D_FL6LdvpMk/s1600/Mirrors+Picture.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/-RpuMd5N9jSw/U0CG1ZdY2GI/AAAAAAAAAgw/D_FL6LdvpMk/s1600/Mirrors+Picture.png" height="236" width="320" /></a></div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;"></span></strong> </div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;">Here are some glimpses of some of the notes sheets that were featured in the above video. </span></strong></div><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-mJxgL-Wn-lA/U0CHPamK0bI/AAAAAAAAAhA/E1SXwfUheyk/s1600/Ordered+Pairs3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/-mJxgL-Wn-lA/U0CHPamK0bI/AAAAAAAAAhA/E1SXwfUheyk/s1600/Ordered+Pairs3.jpg" height="238" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.blogger.com/editor/static_files/" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-ykUXwNv7MUk/U0CHOHs3pTI/AAAAAAAAAg4/1kmuU8ld98E/s1600/Ordered+Pairs2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/-ykUXwNv7MUk/U0CHOHs3pTI/AAAAAAAAAg4/1kmuU8ld98E/s1600/Ordered+Pairs2.jpg" height="239" width="320" /></a></div><div class="separator" style="clear: both; text-align: left;"> </div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;">A similar lesson to this would not be difficult to create, however if you like what you see on this blog, the lesson is available at my TpT site and can be viewed <a href="http://www.teacherspayteachers.com/Product/Reflecting-Across-the-Axes-of-a-Coordinate-Plane-1197341" target="_blank">here</a>. Thank you for taking time to view this lesson, it was very fun to teach and the students got a very good understanding of it.</span></strong></div><div class="separator" style="clear: both; text-align: left;"></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><strong><span style="color: purple;"></span></strong><br />Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com1tag:blogger.com,1999:blog-2430094044998894153.post-54438367368826305042014-01-24T14:16:00.004-08:002014-04-16T11:18:41.900-07:00Teaching the Concept of Dividing Fractions to Middle Schoolers Can Be Done Successfully!At the end of a few beautiful and restful snow days, I am getting ready to go back to work today. (It has always been a well known fact that teachers enjoy getting those calls more than the kids do!) Having a little extra time off has given me time to spruce up my dividing fractions unit and take what I did (which worked really well with my 6th graders) and share some of my thoughts with you about what I think is the best way to develop this concept in the classroom.<br /><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/KkA1aotQK0I?feature=player_embedded' FRAMEBORDER='0' /></div><br /><h3><span style="color: blue;">Common Core Does <u>NOT</u> Mean that the Algorithm Has to Be Thrown Out the Window...</span></h3>I have listened to various professional opinions in regard to this misconception about the Common Core Curriculum. The goal of this approach to math is that the students become better at mathematical reasoning. When teaching this concept, I took the approach that I wanted the students to discover as much as they possibly could on their own in the most visual way possible. I wanted them to truly understand each step of the algorithm before they even began using it. <strong>Why do algorithms even exist? </strong>This is the question I want my kids to understand, <strong>not</strong> just tell them to <strong>"Do these steps and you will get the correct answer." </strong>Algorithms are a result of looking at numerous problems visually to see if you notice any patterns. If something is noticed over and over again about a certain type of math problem, this pattern can be used to create a set of rule (algorithms) that work no matter what. I tell my students that usually the algorithm is a short cut that is a result of much research.<br /><br />Here was the sequence of discovery lessons that I wrote to help guide my students to this conclusion.<br /><span lang=""></span><br /><span lang=""></span><br /><span lang=""></span><div class="separator" style="clear: both; text-align: left;"><span lang=""><span style="color: purple; font-family: Georgia, "Times New Roman", serif;"><strong>Sequence of Lessons:<br />Pre-requisite Skill: Multiplying Fractions Students will learn what is really happening when two values are being multiplied together. This will help them to understand why you multiply the numerators together to get the new numerator and why you multiply the two denominators together to get the new denominator.<br /><br />Lesson Includes:<br />•Fully typed out UBD lesson plan and Teacher Notes<br />•Power Point and all Instructional Videos<br />•Accompanying Student Notes Sheet<br />•Practice Worksheets<br /><br />Lesson 1: Introduction to Dividing Students will first manipulate counter chips to better understand what they are doing when they are dividing. Students will then manipulate fraction bars either by using a fraction bar manipulative website (or by using the attached templates that students can cut out if access to computers is not possible) to also discover what happens when you divide a whole number by a fraction. Students will begin to discover a pattern when they divide a whole number by a fraction.<br /><br />Lesson Includes:<br />•Fully typed out UBD lesson plan and Teacher Notes<br />•Power Point and all Instructional Videos<br />•Accompanying Student Notes Sheet<br />•Practice Worksheets<br /><br />Lesson 2: What is a reciprocal? Students will once again use the fraction bar manipulative website to understand what a reciprocal is. They will discover that a reciprocal is what you can multiply a fraction by in order to make a MAGIC ONE©.<br /><br />Lesson Includes:<br />•Fully typed out UBD lesson plan and Teacher Notes<br />•Power Point and all Instructional Videos<br />•Accompanying Student Notes Sheet <br />•Practice Worksheets<br /><br />Lesson 3: Learning Why the Dividing Fractions Algorithm Works.<br />In this lesson students will use what they discovered in the previous lessons to recognize patterns. Through this understanding they will work through a template that they will be able to describe in detail to better ultimately better understand the algorithm.<br /><br />Lesson Includes:<br />•Fully typed out UBD lesson plan and Teacher Notes<br />•Power Point and all Instructional Videos<br />•Accompanying Student Notes Sheet <br />•Practice Worksheets</strong></span></span></div><span lang=""> </span><br /><br /><span style="font-family: Segoe Print;"><span style="font-family: Segoe Print;"><span style="font-family: Times, "Times New Roman", serif;">If this looks like something you may be interested in using in your class, you can find this lesson on my TpT website: <a href="http://www.teacherspayteachers.com/Product/Betta-Maths-Survival-Guide-to-Multiplying-and-Dividing-Fractions-1076050">http://www.teacherspayteachers.com/Product/Betta-Maths-Survival-Guide-to-Multiplying-and-Dividing-Fractions-1076050</a>.</span></span></span><br /><span style="font-family: Times;"></span><br /><span style="font-family: Times;">This lesson has really helped my students to truly understand how to divide fractions and they can also explain why the algorithm works.</span><br /><span style="font-family: Times;"></span><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-8lXuSrCjyr8/UuLja47nnMI/AAAAAAAAAgI/fiAwc8busH0/s1600/blog+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-8lXuSrCjyr8/UuLja47nnMI/AAAAAAAAAgI/fiAwc8busH0/s1600/blog+2.png" height="249" width="320" /></a></div><span style="font-family: Times;"></span><br /><span style="font-family: Times;">Some of my students were able to then progress from the template shown above to merely multiplying the first fraction in the division problem by the reciprocal. (I allow them to do this if they discover this on their own.)</span><br /><span style="font-family: Times;"></span><br /><span style="font-family: Times;">Thank you for visiting my blog. I should be writing some more soon!</span><br /><span style="font-family: Segoe Print;"><span style="font-family: Segoe Print;"><strong></strong></span></span><br />Sincerely,<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://www.blogger.com/editor/static_files/" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a> </div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-aWPX3z83LCY/UuLl0cOQa_I/AAAAAAAAAgQ/xfub7R-6PuU/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/-aWPX3z83LCY/UuLl0cOQa_I/AAAAAAAAAgQ/xfub7R-6PuU/s1600/Betta+Math+Revised.png" /></a></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-36327991686671921182013-12-23T20:20:00.002-08:002013-12-23T20:46:25.281-08:00A Common Core Conceptual Approach to Explaining the Distributive Property<br />Hello. It has been a while since I have blogged, but I had to inform you about a great way for students to discover the distributive property. This property is a vital part of algebra and students need it as a bulding block to understand such topics as "FOIL" and finding common factors.<br /><br />In this lesson, students must manipulate rectangles (representing variable terms) and squares (representing constant terms) to show that the distributive property is basically stating that the number on the outside of the parenthesis determines how many groups of the value on the inside of the parenthesis are needed to simplify the expression.<br /><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/sdLuNDnmmoI?feature=player_embedded' FRAMEBORDER='0' /></div><br />This lesson worked very nicely to help my students discover the DISTRIBUTIVE PROPERTY on their own and really helped them to make sense of how to apply the property. I love it when discovery lessons work like they are intended to!!! The students retain so much more if they can make sense of it on their own. If you are interested in obtaining this lesson please visit my <a href="http://www.teacherspayteachers.com/Product/Betta-Maths-Understanding-the-Distributive-Property-1029422" target="_blank">TpT store</a>!<br /><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-uLU4JZwllxw/UrkJfnikrBI/AAAAAAAAAfM/W3Y_HjDOLY4/s1600/1.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="172" src="http://4.bp.blogspot.com/-uLU4JZwllxw/UrkJfnikrBI/AAAAAAAAAfM/W3Y_HjDOLY4/s320/1.png" width="320" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Students begin by exploring what it means to have a certain number of groups of<br />an expression within a parenthesis.</td></tr></tbody></table><br /><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-OnTzv8oJNPQ/UrkJi-bSZmI/AAAAAAAAAfc/5sFc94TGI0U/s1600/3.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="172" src="http://1.bp.blogspot.com/-OnTzv8oJNPQ/UrkJi-bSZmI/AAAAAAAAAfc/5sFc94TGI0U/s320/3.png" width="320" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Fully typed out UBD lesson plan is included with purchase. Merely print out the document<br />and have on hand for those surprise evaluations.</td></tr></tbody></table><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-qrhhTEbxK1o/UrkJj1GTQzI/AAAAAAAAAfg/oRnQ8o6RPl4/s1600/2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="172" src="http://4.bp.blogspot.com/-qrhhTEbxK1o/UrkJj1GTQzI/AAAAAAAAAfg/oRnQ8o6RPl4/s320/2.png" width="320" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">All answers for Warm-up, Practice problems and assessment question are included.</td></tr></tbody></table>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-74360191633944867522013-09-21T13:38:00.004-07:002013-09-21T13:41:54.009-07:00Today I Attended an Inspirational Teacher's Workshop with Dan Meyer<span style="color: purple;"><strong>I know, a workshop on a Saturday that I did not even get paid for... crazy right? In my 10 years of teaching this was probably one of the best sessions that I attended. I urge you if you have not read about <a href="http://blog.mrmeyer.com/" target="_blank">Dan Meyer</a> and his educational message, that you take some time to do so!</strong></span><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">I have so many ideas about how to better my lessons. The three questions that I came away with that I plan to ask myself from now on to help bring meaning to my lessons are:</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-Qyg1P70PO2s/Uj4BkNC5f9I/AAAAAAAAAec/nDTW0nlqu7c/s1600/Post_it+notes.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="209" src="http://1.bp.blogspot.com/-Qyg1P70PO2s/Uj4BkNC5f9I/AAAAAAAAAec/nDTW0nlqu7c/s320/Post_it+notes.png" width="320" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Questions I have learned to ask effectively. From Dan Meyer's workshop.</td></tr></tbody></table><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">There are also a great deal of FREE resources that he shared with us. These resources can be used at teh teacher's discretion and really motivated me that concepts can be introduced effectively without laboring for hours on creating videos or scenarios up out of thin air. You can use what is already available as a "jumping board" to help you introduce the concepts you are beginning to teach students. Amazing!</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">I cannot wait to start using some of the following resources in my classroom. The following was one resource I really appreciated having access to and wanted to pass onto my readers.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"><a href="https://docs.google.com/spreadsheet/pub?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE&output=html" target="_blank">THREE ACT LESSONS</a> - also from Dan Meyer.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">ACT I - basically the idea is to draw the students in by showing them a video clip or picture that sparks their attention. (Keep the math out of it).</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">ACT II - Ask them the math question and have them investigate it more. Give them tools or insturction as they need it.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">ACT III- Validate the answers they arrived at, let them see the various ways that the asnwer was found.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">He also acknowledges that this is the "hook" but that students still need to practice problems in class and at home in order to master the skill.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">I am planning on incorporating this with my 6th graders and was very excited to have the oppurtunity to attend this workshop. Have a great weekend!</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-uWh6mWmoQTE/Uj4DfK2fW-I/AAAAAAAAAeo/kxXCRnGKGVo/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/-uWh6mWmoQTE/Uj4DfK2fW-I/AAAAAAAAAeo/kxXCRnGKGVo/s1600/Betta+Math+Revised.png" /></a></div><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"></span></strong><br />Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-26129338836571155782013-09-15T04:32:00.002-07:002013-09-15T04:32:28.770-07:00Interactive Lesson on Relating Ratios to their Proportionate and Equivalent Forms<strong><span style="color: purple;">This lesson worked really well last week for all levels of classes because it scaffolded the thought process needed to find equivalent ratios. Student could manipulate the shapes and were encouraged to use ratio language to make sense this concept.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/2DNP1HkDFYI?feature=player_embedded' FRAMEBORDER='0' /></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;">The video above gives a short preview/explanation of the lesson. Our school has access to the promethean board and ActivInspire so this is a flipchart and PDF student notes file and works best when students can utilize a computer individually in a computer lab setting or laptop cart setting. (If you are someone that may want a low tech version of this lesson, please contact me through TpT by finding this product and describing to me what you would like through the <a href="http://www.teacherspayteachers.com/Product/Interacting-with-Equivalent-Ratios-874174" target="_blank">"QUESTION" prompt</a>.) You can find this lesson at <a href="http://www.teacherspayteachers.com/Store/Betta-Math" target="_blank">my store</a>. This lesson is aligned with CCSS 6RP1 and includes answer keys describing how the lesson should progress.</span></strong></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-49861648260731292832013-09-07T11:57:00.002-07:002013-09-07T12:01:35.601-07:00Introducing the Concept of Rate<span style="color: purple; font-family: Arial, Helvetica, sans-serif;"><strong>This week, I finished up working on helping my students to understand basic ratios through a variety of activities. Yesterday, I introduced the idea of rate by posing a challenge to my students.</strong></span><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br /><h2>Given two tracks, can anyone beat me in a hopping race???</h2><strong><span style="color: purple; font-family: Arial, Helvetica, sans-serif;">The students were first asked to examine the two tracks and make predictions about who would win this race. (When making your two tracks it is important that the teacher's track is spaced out to cover twice the distance of the student's track.)</span></strong><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-4LeiIWFAoDU/UitxYvuXXfI/AAAAAAAAAd8/_9CsnkLsZKU/s1600/Rate+Intro.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="470" src="http://1.bp.blogspot.com/-4LeiIWFAoDU/UitxYvuXXfI/AAAAAAAAAd8/_9CsnkLsZKU/s640/Rate+Intro.jpg" width="640" /></a></div><br /><strong><span style="color: purple; font-family: Arial, Helvetica, sans-serif;">It was a lot of fun to hear the different predictions. My most challenging and most active class (also at the end of the day) was really into it. They noticed right away that the race would not be fair and started throwing out phrases such as "You are trying to cheat us!". This really got them to be engaged!</span></strong><br /><strong><span style="color: purple; font-family: Arial, Helvetica, sans-serif;"></span></strong><br /><strong><span style="color: purple; font-family: Arial, Helvetica, sans-serif;">Once the students had a chance to analyze both tracks, I chose a student at random (I use popscicle sticks with their names on them) to race against. I raced against four different students. The rules were that each person on each track would have to hop the distance alloted them by the post-it notes and every post-it note had to be hit. The first person to make it to their last post-it note would win. (To make it even more competitive, I taunted them a bit and kept writing the score on the board each time I beat one of them. Have fun with it!)</span></strong><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br /><strong><span style="color: purple; font-family: Arial;">After I raced the four lucky students, we began to discuss the activity further. I had a few prompting questions in my mind prior to starting the discussion. (Since I want the kids to discover the idea of rate on their own, I wanted to make sure I did not give away too much information.) Students were partnered up and asked to journal their thoughts in their math notebooks as we discussed with the whole group.</span></strong><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br /><ol><li><strong><span style="color: purple; font-family: Arial;">Was the race fair, why or why not?</span></strong></li><li><strong><span style="color: purple; font-family: Arial;">Why was I able to win each race?</span></strong></li><li><strong><span style="color: purple; font-family: Arial;">What do you notice about my track compared to your track?</span></strong></li></ol><strong><span style="color: purple; font-family: Arial;">My students did a nice job (all ability levels) of coming to the conclusion that I was able to hop a larger distance each time I hopped than they were able to. My more advanced math class began using frequency tables to analyze the information and were right on the verge of coming up with their own definition of rate when it was time to leave class, so I will have to continue discussion on Monday. It was hard to not tell them the answer, but very rewarding to see them thinking it through and so actively engaged. I will be completing this lesson Monday and will write more about its conclusion at a later date!</span></strong><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br /><strong><span style="color: purple; font-family: Arial;">I also came across some really good hands-on lessons (already made up for you) that help students work with and use unit rate at <a href="http://illuminations.nctm.org/LessonDetail.aspx?ID=L515" target="_blank">ILLUMINATIONS</a>. I plan to use these next week as I continue introducing the concept of unit rate and its uses.</span></strong><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br /><strong><span style="color: purple; font-family: Arial;">Thanks for stopping by and have a wonderful week!</span></strong><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-JLiC0y0Lb58/Uit04UJfQcI/AAAAAAAAAeM/qfjDx1zB1OM/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/-JLiC0y0Lb58/Uit04UJfQcI/AAAAAAAAAeM/qfjDx1zB1OM/s1600/Betta+Math+Revised.png" /></a></div><br /><strong><span style="color: purple; font-family: Arial;"></span></strong><br />Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-18028430834805611962013-09-01T04:40:00.001-07:002013-09-01T04:41:22.816-07:00The First Week Went Great! We Began the Ratios Unit...<span style="color: purple;"><strong>We began the Ratios Unit this past week and I am excited to say that it went well. What a great start to the year, I have nice students that gave me a really good effort on the Ratios Pre-Test and I am currently completing their Student Achievement Growth Cards. (These come from my<a href="http://www.teacherspayteachers.com/Product/Betta-Math-Common-Core-Ratios-and-Proportions-Unit-600585" target="_blank"> Betta Math Ratios and Proportions Unit</a>.) </strong></span><br /><span style="color: purple;"><strong></strong></span><br /><span style="color: purple;"><strong>Another useful tool that I found online is a ratios worksheet generator. This can be found at <a href="http://www.math-aids.com/Ratios/Simple_Ratios.html" target="_blank">MathAids</a> and also generates the key for various topics. I use it a lot for basic skills when I may not have time to create my own worksheets.</strong></span><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-V7Z7o8CUoJE/UiMlWF3XL1I/AAAAAAAAAds/mld_UxpJpoQ/s1600/1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="374" src="http://3.bp.blogspot.com/-V7Z7o8CUoJE/UiMlWF3XL1I/AAAAAAAAAds/mld_UxpJpoQ/s640/1.jpg" width="640" /></a></div><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">In preparing for next week, I am going to focus on getting students to really be able to understand how to write and simplify ratios through a number of activities. I am using an adapted version of the Math Workshop that I purchased from:</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-2VYbMcIcTZE/UiHDxltlF4I/AAAAAAAAAdY/L1E5TWKLNkw/s1600/Clutter+Free+Classroom.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="200" src="http://3.bp.blogspot.com/-2VYbMcIcTZE/UiHDxltlF4I/AAAAAAAAAdY/L1E5TWKLNkw/s200/Clutter+Free+Classroom.png" width="198" /></a></div><strong><span style="color: purple;">The author of the <a href="http://www.teacherspayteachers.com/Product/MATH-WORKSHOP-ROTATION-BOARD-144548" target="_blank">math workshop</a> I will be using and adapting to middle school classroom has been kind enough to allow me to blog about this. I wanted to make sure I awarded her the proper credit because it has helped me organize my thoughts about encorporating math workshop in my 6th grade classroom.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">I believe that this is where the curriculum is taking us and gives you the flexibility to hit numerous learning styles in one class period and promote differentiate learning. </span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">I will also be blogging more about student portfolios and my students' interactive math notebook. Since textbooks are becoming more of a secondary reference, student notebooks are even more important to their success. Please stop back here frequently because my intention is to blog on a weekly basis and I would love any feedback any other professionals may offer. </span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">To those of you starting back to work...have a great year!</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-JW14I80gJWk/UiHD0sUeEzI/AAAAAAAAAdg/ILL7x-PV3js/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/-JW14I80gJWk/UiHD0sUeEzI/AAAAAAAAAdg/ILL7x-PV3js/s1600/Betta+Math+Revised.png" /></a></div><br /><strong><span style="color: purple;"></span></strong><br />Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-62951928381503384092013-08-13T07:08:00.000-07:002013-08-13T07:08:00.166-07:00Exploring the Number Line<span style="color: purple; font-family: Verdana, sans-serif;"><strong></strong></span><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-oQurGVHJwYU/UgotwAbqmGI/AAAAAAAAAcU/J0RFsA55uQA/s1600/introduction.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="235" src="http://1.bp.blogspot.com/-oQurGVHJwYU/UgotwAbqmGI/AAAAAAAAAcU/J0RFsA55uQA/s640/introduction.png" width="640" /></a></div><span style="color: purple; font-family: Verdana, sans-serif;"><strong></strong></span><br /><div class="separator" style="clear: both; text-align: center;"> </div><span style="color: purple; font-family: Verdana, sans-serif;"><strong>As I research the Common Core Curriculum, I am realizing more and more that a lot of the curriculum revolves around students being able to understand and manipulate a number line. This is especially true when they are working with fractions. As I began to think about some good activities that I might be able to create to help them start the year with an understanding of the number line, I decided the best way to introduce this would be through a few activities. One activity has students use their estimation skills to decide whether a fraction is less than, equal to or greater than 1/2.</strong></span><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-PEA_3uJbrdg/Ugotx49rC4I/AAAAAAAAAcc/iDu59i36vsU/s1600/game+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="434" src="http://2.bp.blogspot.com/-PEA_3uJbrdg/Ugotx49rC4I/AAAAAAAAAcc/iDu59i36vsU/s640/game+1.png" width="640" /></a></div> <strong><span style="color: purple; font-family: Verdana;">I also like to introduce concepts to students in a fun and interactive way. I created a game called "Eat the Fly" that students will enjoy and it can also be applied to other concepts by merely using different game cards. Once you have th game set up, you will have the game pieces to use later on for other topics. (I like the old saying "work smarter not harder!)</span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-TFAZCybnx08/UgouA4Vw-DI/AAAAAAAAAcs/dpzxANnkXgo/s1600/Game+3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-TFAZCybnx08/UgouA4Vw-DI/AAAAAAAAAcs/dpzxANnkXgo/s320/Game+3.png" width="280" /></a></div><br /><span style="color: purple; font-family: Verdana;"></span><span style="color: purple; font-family: Verdana, sans-serif;"><strong> If this product looks like something you might be able to use in your classroom, please download it from my TpT store <a href="http://www.teacherspayteachers.com/Product/Introduction-to-the-Number-Line-825818" target="_blank">HERE</a>. While you are there, please click the "follow me" link to get updates about new products from my store. Thanks for your interest and please visit my blog to see how I am implementing the Common Core Curriculum into my classroom.</strong></span>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-39088403547949577782013-07-29T05:05:00.006-07:002013-07-30T04:16:01.197-07:00Not Quite Ready for Summer to End... but Starting to Gear up for the Next School Year!<a href="http://3.bp.blogspot.com/-I2bIA17GKyk/UfZNs2_eQvI/AAAAAAAAAbU/kCouzpVI4sI/s1600/FiveFrogs-05.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="200" src="http://3.bp.blogspot.com/-I2bIA17GKyk/UfZNs2_eQvI/AAAAAAAAAbU/kCouzpVI4sI/s200/FiveFrogs-05.png" width="200" /></a><span style="color: purple;"><strong>Even though it is always a little sad to see the summer come to an end and leave the days of having all day to do things with my girls, the fact is that the summer is coming to an end in the next few weeks. Since it is inevitable, I have decided to try to be positive about this fact and begin thinking about how I want to start out the school year. As of right now, I will be teaching only 6th Grade. This excites me because I love teaching 6th Graders, they are so much fun! </strong></span><br /><strong><span style="color: purple;"></span></strong><br /><table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right;"><tbody><tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-fzZggAhAvPY/UfZWbkcbTiI/AAAAAAAAAb0/nM0hzZeQs4I/s1600/DSCN0303.JPG" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="150" src="http://3.bp.blogspot.com/-fzZggAhAvPY/UfZWbkcbTiI/AAAAAAAAAb0/nM0hzZeQs4I/s200/DSCN0303.JPG" width="200" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Pine Cone Bees for my classroom decor.</td></tr></tbody></table><strong><span style="color: purple;">My husband and I have started raising bees and since I have always been fascinated with bugs and other animals, I have decided to make my room into a nature theme this year. I have some ideas and have even made some bees out of pine cones and have plans to sew some butterflies. I plan to get some fake leaves/flowers also to put around my room. (See some of my later blog posts to see the finished decor.) I think I will make a materials basket for each row and will be focusing on really establishing student jobs. I have downloaded <a href="http://www.teacherspayteachers.com/Product/FREE-Classroom-Economy-Pack-61792" target="_blank">Laura Candler's Freebie entitled FREE CLASSROOM ECONOMY PACK </a>that I will be adapting for my own classroom. She has some really great resources and offers a lot of FREEBIES. You can also check back at some posts later on in the school year to see how these ideas pan out.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-BQ13QeowK4o/UfZZkTUcMyI/AAAAAAAAAcE/GWhiivOVscM/s1600/DSCN0302.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-BQ13QeowK4o/UfZZkTUcMyI/AAAAAAAAAcE/GWhiivOVscM/s320/DSCN0302.JPG" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><strong><span style="color: purple;">To establish my norms and also to introduce students to the Common Core Curriculum, I am planning to start out with some ideas that will reinforce the basic skills students will need to be successful. I will be focusing on Multiplication Fa</span></strong><strong><span style="color: purple;">cts and Long Division first. Surprizingly, 6th Graders still tend to struggle with these topics. I am going to break down the process and help students understand why it is important to know their Multiplication Facts and how to successfully be able to use Long Division. <a href="http://www.teacherspayteachers.com/Store/Betta-Math/Order:Most-Recently-Posted" target="_blank">Please preview the lesson I plan to use below. It is also available at my <span id="goog_1490861781"></span>TpT store<span id="goog_1490861782"></span></a>. If you like this lesson I would appreciate you clicking the "Follow" star as I will be adding products that I feel are concept based and of high quality and you will be notified of new products on a regular basis.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/TvTlsIpuRvM?feature=player_embedded' FRAMEBORDER='0' /></div><strong><span style="color: purple;"></span></strong><br /><br /><strong><span style="color: purple;">I am currently working on a Unit for The 6th Grade Number System Common Core State Standard and it will be finished soon! Good luck in the new year.</span></strong><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-j1T3LkGTfnc/UfZN8--9q7I/AAAAAAAAAbk/nL4mtO3cSqE/s1600/GraphicsFromthePondCreditButtonImage.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="199" src="http://1.bp.blogspot.com/-j1T3LkGTfnc/UfZN8--9q7I/AAAAAAAAAbk/nL4mtO3cSqE/s320/GraphicsFromthePondCreditButtonImage.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://www.blogger.com/" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="" /></a></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-10721931729696137632013-04-06T12:49:00.002-07:002013-04-06T12:49:25.053-07:00Common Core Student Sample Write-ups <span style="color: purple;"><strong>In an effort to help students transistion into the Common Core Curriculum, I have started working with them on how to organize their thoughts and expand upon the answers to various math problems. </strong></span><span style="color: purple;"><strong>Here are some examples that were graded on a scale on 1-10. Students were asked to create a math write-up answering the following problem</strong></span><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-Mlk3WwdhNR0/UWB8D8Fxw8I/AAAAAAAAAaY/-rbnX5w2P64/s1600/IMAGETPT.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="534" src="http://1.bp.blogspot.com/-Mlk3WwdhNR0/UWB8D8Fxw8I/AAAAAAAAAaY/-rbnX5w2P64/s640/IMAGETPT.jpg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-39akYHFUots/UV8NPd96BZI/AAAAAAAAAZw/Hxggj9YjsAY/s1600/Student1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="352" src="http://3.bp.blogspot.com/-39akYHFUots/UV8NPd96BZI/AAAAAAAAAZw/Hxggj9YjsAY/s640/Student1.png" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-DH3pKk6tkP8/UV8OnWIAPgI/AAAAAAAAAZ4/FZw2hukcZ6I/s1600/Student+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="306" src="http://2.bp.blogspot.com/-DH3pKk6tkP8/UV8OnWIAPgI/AAAAAAAAAZ4/FZw2hukcZ6I/s640/Student+2.png" width="640" /></a></div><a href="http://4.bp.blogspot.com/-rOzAWT2Cpxo/UV8OofF9G7I/AAAAAAAAAaA/lfXcSDxM36k/s1600/Student3.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="340" src="http://4.bp.blogspot.com/-rOzAWT2Cpxo/UV8OofF9G7I/AAAAAAAAAaA/lfXcSDxM36k/s640/Student3.png" width="640" /></a><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-dyTWkmKfa4k/UV8OoyDvrRI/AAAAAAAAAaI/2i57GsJWWMs/s1600/Student4.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="183" src="http://3.bp.blogspot.com/-dyTWkmKfa4k/UV8OoyDvrRI/AAAAAAAAAaI/2i57GsJWWMs/s320/Student4.png" width="320" /></a></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-23154577595353546242013-04-03T12:59:00.001-07:002013-04-03T19:39:30.042-07:00Using the Math Practice Flipbook to Write about Math Tasks<span style="color: purple;"><strong>My students completed their Math Practice Flipbooks yesterday. Here are some images of them creating their flipbooks. </strong></span><br /><span style="color: purple;"><strong></strong></span><br /><span style="color: purple;"><strong></strong></span><br /><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-O2nqCyr-CQc/UVyEDRa3MVI/AAAAAAAAAY0/Okcd4_E91d8/s1600/IMG_0710.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><span style="color: purple;"><strong><img alt="" border="0" height="300" src="http://1.bp.blogspot.com/-O2nqCyr-CQc/UVyEDRa3MVI/AAAAAAAAAY0/Okcd4_E91d8/s400/IMG_0710.JPG" title="Student placing the scenario cards on the correct standard." width="400" /></strong></span></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="color: purple;"><strong></strong></span><br /></td></tr></tbody></table><span style="color: purple;"><strong></strong></span><br /><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-_lB-JHJ-_zo/UVyEFHdA5zI/AAAAAAAAAY8/JXThNaAHWVM/s1600/IMG_0714.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: purple;"><strong><img alt="" border="0" height="300" src="http://2.bp.blogspot.com/-_lB-JHJ-_zo/UVyEFHdA5zI/AAAAAAAAAY8/JXThNaAHWVM/s400/IMG_0714.JPG" title="Students Placing their cards." width="400" /></strong></span></a></div><span style="color: purple;"><strong></strong></span><br /><span style="color: purple;"><strong>They used them today as a resource for writing the reasoning behind the math tasks they will be working on. I created a easy level task for students to begin using this resource and the kids did so well I decided to put this on my blog :o). I will also be putting some examples once I have finished grading them. The Flipbook Template and the math task below can be downloaded at </strong></span><a href="http://www.teacherspayteachers.com/Product/Common-Core-Math-Practices-Flipbook"><span style="color: purple;"><strong>http://www.teacherspayteachers.com/Product/Common-Core-Math-Practices-Flipbook</strong></span></a><br /><span style="color: purple;"><strong></strong></span><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-z_beqm7w8L0/UVyD-Glpt0I/AAAAAAAAAYo/MVT0A4t86S8/s1600/IMAGETPT.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: purple;"><strong><img alt="" border="0" src="http://2.bp.blogspot.com/-z_beqm7w8L0/UVyD-Glpt0I/AAAAAAAAAYo/MVT0A4t86S8/s1600/IMAGETPT.jpg" title="Math Task (Block Patterns)" /></strong></span></a></div><span style="color: purple;"><strong>The students did a really nice job with this activity and came up with some really great answers. Here are some images of them working on this math task.</strong></span><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-KbvBfKgBTCs/UVyIxob4PZI/AAAAAAAAAZY/XI44HusHFD0/s1600/IMAGETPT1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-KbvBfKgBTCs/UVyIxob4PZI/AAAAAAAAAZY/XI44HusHFD0/s320/IMAGETPT1.jpg" width="233" /></a></div><br /><span style="color: purple;"><strong>The students were able to use their Math Practice Flipbooks to help them write the reasoning behind these math tasks.</strong></span><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-iPdHbreUxrw/UVyEIybiHWI/AAAAAAAAAZM/3Xv4CA-cwQ0/s1600/task1.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-iPdHbreUxrw/UVyEIybiHWI/AAAAAAAAAZM/3Xv4CA-cwQ0/s320/task1.JPG" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-3BX2XrMtYFc/UVyEJwde9xI/AAAAAAAAAZU/QUgDRQktG4E/s1600/Task2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-3BX2XrMtYFc/UVyEJwde9xI/AAAAAAAAAZU/QUgDRQktG4E/s320/Task2.JPG" width="320" /></a></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-984179817286692972013-03-29T08:14:00.000-07:002013-03-29T08:15:45.616-07:00Kid-friendly Explanation of Common Core Math Practices<span style="color: purple;"><strong>As I have been waiting to implement the Common Core in my Classroom, I am realizing that my students are going to need a lot of help transitioning into these new expectations. After Easter Break, I plan to start out doing this by first having students gain a deeper understanding of the Math Practices they will be conscientously using to solve problems. If I simply gave them a copy of the <a href="http://www.corestandards.org/Math/Practice" target="_blank">online practices</a>, they would be confused and frustrated. I have created a <a href="http://www.teacherspayteachers.com/Product/Common-Core-Math-Practices-Flipbook" target="_blank">Flipbook</a> for their notes that will be an easy resource to refer to when using these practices. It includes kid-friendly descriptions of each standard and will also be used as an activity to have students think about 8 different situations and decide which math practice was used in each scenario. Once we have discussed each scenario and where it fits in as a class, they will glue it on the appropriate flipbook page to serve as an example when they refer back to this resource. I will be uploading pictures of the finished products as well as some of our class discussion points once I complete this lesson with my kids next Tuesday, so please visit frequently!</strong></span><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-ArkOnixlN_c/UVWvc0VTHJI/AAAAAAAAAYY/Qd2tKR2OSGs/s1600/Flipbook+Preview.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="http://2.bp.blogspot.com/-ArkOnixlN_c/UVWvc0VTHJI/AAAAAAAAAYY/Qd2tKR2OSGs/s640/Flipbook+Preview.png" width="489" /></a></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-74627251153464481512013-03-24T14:57:00.000-07:002013-03-24T14:57:00.437-07:00Comparing Fractions, Decimals and Percentages Flipbook<span style="color: purple;"><strong>Here is a video showing how to put together the <a href="http://www.teacherspayteachers.com/Product/Common-Core-Flipchart-Fractions-Decimals-and-Percentages" target="_blank">"Relating Fractions, Decimals and Percentages Flipbook</a>. This is a great way for students to review these relationships and serves as a great resource for their notes.</strong></span><br /><span style="color: purple;"></span><br /><span style="color: purple;"><strong>Please view this video to see this Flipbook as a finished product. (My students love making these and since they have time invested in creating them they refer to them more quickly than traditional notes.)</strong></span><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/BRocyr7jgAw?feature=player_embedded' FRAMEBORDER='0' /></div><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"></span></strong><br />Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-30118659959095894252013-03-23T18:43:00.002-07:002013-03-24T13:21:54.187-07:00Don't Get Zapped - Integer Operations<div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-4H9UROMFJFQ/UU5TZuFEPZI/AAAAAAAAAX4/NtplMzDcQdg/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-4H9UROMFJFQ/UU5TZuFEPZI/AAAAAAAAAX4/NtplMzDcQdg/s1600/Betta+Math+Revised.png" /></a></div><br /><span style="background-color: white; color: purple;">This is a really neat idea that I saw on an elementary school teacher's blog at </span><a href="http://swampfrogfirstgraders.blogspot.com/2011/01/dont-get-zapped-addition-version.html"><span style="background-color: white; color: purple;">http://swampfrogfirstgraders.blogspot.com/2011/01/dont-get-zapped-addition-version.html</span></a><br /><span style="background-color: white; color: purple;">and I think it could be adapted for my middle school students. </span><br /><span style="color: purple;"></span><br /><span style="background-color: white; color: purple;"></span><br /><span style="background-color: white; color: purple;"></span><br /><span style="background-color: white; color: purple;">I thought it would be a great way to practice integer operations, fraction operations or any other operational skill and could be used for an independent game idea. I would like to plan to work in a 3 station group next year. As I am planning for the Common Core Curriculum, I am taking a tip from the reading teachers and creating a three groups (Red, Green and Blue). They will be working through rotating stations. One station will always be a skill self-check station... so I believe this game would work perfectly!</span><br /><span style="color: purple;"></span><br /><span style="color: purple;">Basically, you put problems on popscicle sticks and place 30 of them in a container along with two "Take another Turn" sticks, two "Give Another Player a Stick" sticks and one "Zapped" stick which means you have to put all the sticks you collected back into the container. You keep a stick if you get the problem correct. I think I will number each problem and have an answer key handy so kids can check each others' responses. The student that wins is the student who has the most sticks when their time is up at that station.</span><br /><span style="color: purple;"></span><br /><span style="color: purple;">I am very excited to start working on these games, but plan to use a PRINGLES container instead since my family devours these on a regular basis.</span><br /><span style="color: purple;"></span><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-vR3qIhHU2lw/UU5VmmkcozI/AAAAAAAAAYI/_To71hvRU80/s1600/Pringles.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://1.bp.blogspot.com/-vR3qIhHU2lw/UU5VmmkcozI/AAAAAAAAAYI/_To71hvRU80/s320/Pringles.png" width="123" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-15495581737094984632013-03-22T08:35:00.002-07:002013-03-24T13:23:46.519-07:00Megalodon Investigation: Work Samples<div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-0cPaGWKY4ik/UUxxX7st56I/AAAAAAAAAWQ/Ec22aYxLH1c/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/-0cPaGWKY4ik/UUxxX7st56I/AAAAAAAAAWQ/Ec22aYxLH1c/s1600/Betta+Math+Revised.png" /></a></div><br /><h2 class="separator" style="clear: both; text-align: center;"><span style="color: purple;">Student Work Samples: Megalodon Investigation </span></h2><div class="separator" style="clear: both; text-align: left;"><span style="color: purple;">Even though this is a 6th Grade Unit, I had some time between State Testing and the students going on Spring Break, so I decided to try this investgation out with my 7th graders. They really did a good job so I decided to display a few of my Top Notch Groups' work with you. You can find this investigation in my <a href="http://www.teacherspayteachers.com/Product/Betta-Math-Common-Core-Ratios-and-Proportions-Unit" target="_blank">Common Core Ratios and Proportions Unit</a> or you can download just the <a href="http://www.teacherspayteachers.com/Product/Megalodon-How-Big-was-it-An-Investigation-Using-Proportionate-Reasoning" target="_blank">Megalodon Investigation</a>.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="color: purple;"></span> </div><div class="separator" style="clear: both; text-align: left;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-4aIGmzUmJ1U/UUxxnjECVRI/AAAAAAAAAWk/Bzvtr5-RvAU/s1600/IMG_0701.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="" border="0" height="300" src="http://3.bp.blogspot.com/-4aIGmzUmJ1U/UUxxnjECVRI/AAAAAAAAAWk/Bzvtr5-RvAU/s400/IMG_0701.JPG" title="One group was very creative and showed the Megalodon trying to eat the Great White Shark." width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-dcsFpPLjjbg/UUxzf2aX8PI/AAAAAAAAAXk/nWrHewgrnIo/s1600/IMG_0702.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="" border="0" height="320" src="http://1.bp.blogspot.com/-dcsFpPLjjbg/UUxzf2aX8PI/AAAAAAAAAXk/nWrHewgrnIo/s320/IMG_0702.JPG" title="This group actually put their faces on their people, however I do not feel comfortable posting student faces so I blocked the individual's face out." width="138" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-qX2EEH89A-8/UUxxnXHQ3xI/AAAAAAAAAWc/xan_nRyQasQ/s1600/IMG_0703.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://3.bp.blogspot.com/-qX2EEH89A-8/UUxxnXHQ3xI/AAAAAAAAAWc/xan_nRyQasQ/s320/IMG_0703.JPG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> <a href="http://2.bp.blogspot.com/-89RyKxMUbcA/UUxxr3o97GI/AAAAAAAAAW0/eIWhrqUiNfw/s1600/IMG_0704.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-89RyKxMUbcA/UUxxr3o97GI/AAAAAAAAAW0/eIWhrqUiNfw/s320/IMG_0704.JPG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-zV0B1Nk4dXg/UUxxsPWeFUI/AAAAAAAAAW8/sLxyF-DMgDE/s1600/IMG_0705.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-zV0B1Nk4dXg/UUxxsPWeFUI/AAAAAAAAAW8/sLxyF-DMgDE/s320/IMG_0705.JPG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-jgQXZLuT2hQ/UUxxx1x1-sI/AAAAAAAAAXE/vRLpAIFpXME/s1600/IMG_0706.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://3.bp.blogspot.com/-jgQXZLuT2hQ/UUxxx1x1-sI/AAAAAAAAAXE/vRLpAIFpXME/s320/IMG_0706.JPG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-iNq1HPCUQcU/UUxxzNeY6tI/AAAAAAAAAXU/oGYlq619C-s/s1600/IMG_0708.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-iNq1HPCUQcU/UUxxzNeY6tI/AAAAAAAAAXU/oGYlq619C-s/s320/IMG_0708.JPG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-2r8kbHv3Mv0/UUxx1Kz_BuI/AAAAAAAAAXc/u2VpK0dbVCA/s1600/IMG_0709.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-2r8kbHv3Mv0/UUxx1Kz_BuI/AAAAAAAAAXc/u2VpK0dbVCA/s320/IMG_0709.JPG" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: left;"></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-4506726477737475482013-03-19T19:50:00.000-07:002013-03-24T13:22:52.068-07:00Betta Math Common Core Flipbook on Relating Fractions, Decimals and Percentages<h2 class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-61RLuhNOLtA/UUkh3PMoWdI/AAAAAAAAAWA/-hJqFM-1mpk/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: purple; font-family: Verdana, sans-serif;"><img border="0" src="http://2.bp.blogspot.com/-61RLuhNOLtA/UUkh3PMoWdI/AAAAAAAAAWA/-hJqFM-1mpk/s1600/Betta+Math+Revised.png" /></span></a></h2><h2><span style="color: purple; font-family: Georgia, "Times New Roman", serif;">Another Betta Math Common Core Flipbook: Relating Fractions, Decimals and Percentages</span> </h2><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-dN46fsJRmiE/UUkhxTYjLQI/AAAAAAAAAV4/EJXXhDGUQpc/s1600/Preview.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="" border="0" height="298" src="http://4.bp.blogspot.com/-dN46fsJRmiE/UUkhxTYjLQI/AAAAAAAAAV4/EJXXhDGUQpc/s640/Preview.jpg" title="Preview of Common Core Flipbook: Relating Rational Numbers" width="640" /></a></div><br /><span style="color: purple;">This Flipbook helps students to interact with their knowledge of relatin rationals numbers. They can revew this topic it also helps them to think about and apply the concept. I also have noticed that students more wuickly refer to these flipbooks when using their notes than looking back at what they wrote. (The time invested in creating these books make the student more invested in using them.)</span><br /><br /><span style="color: purple;">If you have downloaded the <a href="http://www.teacherspayteachers.com/Product/Basic-Geometry-Symbols-Flipbook" target="_blank">Betta Math Common Core Geometry Flipbook</a> and thought it was a good resource, than you will like this <a href="http://www.teacherspayteachers.com/Product/Common-Core-Flipchart-Fractions-Decimals-and-Percentages" target="_blank">Betta Math Common Core Flipbook relating Fractions, Decimals and Percentages</a> as well!</span><br /><br /><h2 align="center"> </h2>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-34962211416604597012013-03-19T18:55:00.001-07:002013-03-24T13:23:05.145-07:00<div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-M_iLC1c6gSA/UUkN79hurYI/AAAAAAAAAVA/WFRsKDL7K4E/s1600/Betta+Math+Revised.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/-M_iLC1c6gSA/UUkN79hurYI/AAAAAAAAAVA/WFRsKDL7K4E/s1600/Betta+Math+Revised.png" /></a></div><h2 style="text-align: center;"><span style="color: purple;">Probability Investigation: Sticks and Stones</span></h2><div style="text-align: left;"><span style="color: purple;">YES! State testing is finally over and I am able to do some fun activities with my students. This was a neat activity that I found on the <a href="http://illuminations.nctm.org/LessonDetail.aspx?ID=L585" target="_blank">Illuminations Website</a> that simulates an Apache Native American Game that was played when indian nations came together during festivals.</span></div><div style="text-align: left;"><span style="color: purple;"></span> </div><div style="text-align: left;"><span style="color: purple;">I used it as an activity to enrich my 6th graders' knowledge of probability and extend it into probable combinations. I am also working on helping my students begin to transition into the Common Core Curriculum and start helping them with the basics of writing about math. This website is a great resource for activities that are free to teachers, but a lot of times you have to supplement the activities with worksheets or additional supports that will help the students. I have started out using this activity as a review of experimental probability, but will extend this concept tomorrow to including linear combinations.</span></div><div style="text-align: left;"><span style="color: purple;"></span> </div><div class="separator" style="clear: both; text-align: center;"><object width="320" height="266" class="BLOGGER-youtube-video" classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0" data-thumbnail-src="http://img.youtube.com/vi/bq_7NwqdOU0/0.jpg"><param name="movie" value="http://youtube.googleapis.com/v/bq_7NwqdOU0&source=uds" /><param name="bgcolor" value="#FFFFFF" /><param name="allowFullScreen" value="true" /><embed width="320" height="266" src="http://youtube.googleapis.com/v/bq_7NwqdOU0&source=uds" type="application/x-shockwave-flash" allowfullscreen="true"></embed></object></div><div style="text-align: left;"><span style="color: purple;">If you would like to use this resource and would like to have the FREE SUPPLEMENTARY worksheets and game pieces, please visit the following <a href="http://www.teacherspayteachers.com/Product/Probability-Investigation-Sticks-and-Stones-Game" target="_blank">link</a> and download the materials I used in class FREE of charge. Please view the images below to see the game in action. I have also included a video from You Tube showing a modern day Pow Wow to give the students an idea of what a Native American Festival sounded and looked like.</span></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-XqCvIX32Om8/UUkVJpr7tyI/AAAAAAAAAVg/UOJXVlm9iTI/s1600/3.jpg" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img alt="" border="0" height="153" src="http://4.bp.blogspot.com/-XqCvIX32Om8/UUkVJpr7tyI/AAAAAAAAAVg/UOJXVlm9iTI/s200/3.jpg" title="Students take turns throwing the "sticks" and moving their game pieces around the game board." width="200" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="http://4.bp.blogspot.com/-IhNXpz9wJTI/UUkODR2DBeI/AAAAAAAAAVU/7EY94STv1oI/s1600/2.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="150" src="http://4.bp.blogspot.com/-IhNXpz9wJTI/UUkODR2DBeI/AAAAAAAAAVU/7EY94STv1oI/s200/2.jpg" width="200" /></a></td></tr></tbody></table><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-RdisHQsuZ0Q/UUkOAzscC3I/AAAAAAAAAVM/Ma86cFYZiHQ/s1600/1.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="" border="0" height="150" src="http://4.bp.blogspot.com/-RdisHQsuZ0Q/UUkOAzscC3I/AAAAAAAAAVM/Ma86cFYZiHQ/s200/1.jpg" title="Students create a tribal name and record each outcome." width="200" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"> </td></tr></tbody></table><div style="text-align: left;"><span style="color: purple;"></span> </div><div style="text-align: left;"><span style="color: purple;"></span> </div><div style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><img height="72" src="http://4.bp.blogspot.com/-RdisHQsuZ0Q/UUkOAzscC3I/AAAAAAAAAVM/Ma86cFYZiHQ/s200/1.jpg" style="filter: alpha(opacity=30); left: 184px; opacity: 0.3; position: absolute; top: 1080px;" width="96" /></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-43882259978959551672013-03-13T20:15:00.001-07:002013-03-24T13:23:22.543-07:00<span style="color: purple;"><strong>Today I decided to allow my 6th Graders to try-out the game entitled <a href="http://mathwire.com/geometry/coordgeom.html" target="_blank">GRIDLOCK</a>. They loved it, but as I played against a couple of my students I did have some ways I felt I could make it more challenging and put it more on a 6th/7th grade level. Here are pictures of the activity from today as I used it in my classes. I have created a more advanced version of this game that can be <a href="http://www.teacherspayteachers.com/Product/Four-to-Score-Game-that-Reinforces-Coordinate-Graphing" target="_blank">downloaded</a> on my TpT sight.</strong></span><br /><strong><span style="color: purple;"></span></strong><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-ySIzdNZTWGA/UUE_g5hZaqI/AAAAAAAAATI/IsWXHeO4h_s/s1600/1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-ySIzdNZTWGA/UUE_g5hZaqI/AAAAAAAAATI/IsWXHeO4h_s/s320/1.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-owBb2OhAupM/UUE_nNRlgFI/AAAAAAAAATc/8JJS0nla8C0/s1600/5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://3.bp.blogspot.com/-owBb2OhAupM/UUE_nNRlgFI/AAAAAAAAATc/8JJS0nla8C0/s320/5.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-or_yZAw4SMk/UUE_hmZljPI/AAAAAAAAATU/eO7584dW5Lo/s1600/2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-or_yZAw4SMk/UUE_hmZljPI/AAAAAAAAATU/eO7584dW5Lo/s320/2.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-E1h75fCPukM/UUE_g1WePtI/AAAAAAAAATE/i0F2x96viMg/s1600/3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-E1h75fCPukM/UUE_g1WePtI/AAAAAAAAATE/i0F2x96viMg/s320/3.jpg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-axc8mmZNCLQ/UUE_nN9AtTI/AAAAAAAAATg/eclIo08QRFA/s1600/4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-axc8mmZNCLQ/UUE_nN9AtTI/AAAAAAAAATg/eclIo08QRFA/s320/4.jpg" width="320" /></a> </div><div class="separator" style="clear: both; text-align: center;"> </div><div align="left" class="separator" style="clear: both; text-align: center;"></div><div align="left"><strong><span style="color: purple;"></span></strong> </div><div align="left"><strong><span style="color: purple;">Here are some images for the more advanced game <a href="http://www.teacherspayteachers.com/Product/Four-to-Score-Game-that-Reinforces-Coordinate-Graphing" target="_blank">FOUR TO SCORE</a>. </span></strong></div><div align="left"><strong><span style="color: purple;"></span></strong> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-pTCI1Telv08/UUE_plY9RzI/AAAAAAAAAT4/fMb_RTPzVMA/s1600/A2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-pTCI1Telv08/UUE_plY9RzI/AAAAAAAAAT4/fMb_RTPzVMA/s320/A2.jpg" width="264" /></a><a href="http://3.bp.blogspot.com/-o-lBCpBQlpk/UUE_nT6HnWI/AAAAAAAAATw/dDcpkxTka_Q/s1600/A1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://3.bp.blogspot.com/-o-lBCpBQlpk/UUE_nT6HnWI/AAAAAAAAATw/dDcpkxTka_Q/s320/A1.jpg" width="285" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div align="left"> </div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-25524948434997863662013-03-11T19:21:00.001-07:002013-09-28T18:52:50.775-07:00Megalodon: How Big Was It? Investigation Applying Proportionate Reasoning<div class="separator" style="clear: both; text-align: center;"><br /></div><div style="clear: right; float: right; height: 376px; margin-bottom: 1em; margin-left: 1em; width: 637px;"><img border="0" src="http://3.bp.blogspot.com/-Xv-uLRtIuxM/UT6KqFyr90I/AAAAAAAAAR8/t6KvCwpUAsA/s1600/Betta+Math+Revised.png" /><br /><br /><br /><div align="left"></div><strong><span style="color: purple;">I have recently been thinking about how to motivate my students to want to do the work that Common Core is requiring them to do. Then it hit me, the problems they are working on must be things that interest them. I decided to take a crack at writing something that think would interest me. I have always been facinated by ancient creatures, the more menacing (as long as I know they are extinct) the more fascinated I was. YES, I was a big fan of Jurassic Park.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;">While thinking about how to apply this to 6th Grade Math, I came across this interesting video clip on You Tube from Animal Planet's "The Most Extreme: Ancient Ancestors" and I thought it would be a perfect application to the Ratio and Proportions Unit since the Megalodon was juts a much larger version of today's Great White shark.</span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"></span></strong><br /><strong><span style="color: purple;"></span></strong><br /><span id="goog_1064274929"></span><span id="goog_1064274930"></span><br /><br /></div><table cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-xCVRoRm4Wcc/UkeHcDOabiI/AAAAAAAAAe4/ltDP3yhMIgs/s1600/Megalodon+Tooth_Courtesy+of+one+of+my+students.png" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" src="http://1.bp.blogspot.com/-xCVRoRm4Wcc/UkeHcDOabiI/AAAAAAAAAe4/ltDP3yhMIgs/s1600/Megalodon+Tooth_Courtesy+of+one+of+my+students.png" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">One of my students actually brought in a REAL Megalodon tooth.<br />The other students (and also myself) were amazed to be able to see and touch<br />this rare fossil that is normally only seen behind glass.</td></tr></tbody></table><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/fmrSHUghG28?feature=player_embedded' FRAMEBORDER='0' /></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: left;"><span style="background-color: white;"><span style="color: purple;"><strong>From this video, I got the idea to create the following investigation.</strong></span></span></div><div class="separator" style="clear: both; text-align: left;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-K5MlSjW3SOs/UT6Nu7Tr8lI/AAAAAAAAASE/xsS5DDJJ7sw/s1600/Megalodon.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="236" src="http://3.bp.blogspot.com/-K5MlSjW3SOs/UT6Nu7Tr8lI/AAAAAAAAASE/xsS5DDJJ7sw/s320/Megalodon.png" width="320" /></a> </div><div class="separator" style="clear: both; text-align: center;"> </div><div align="left" class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: left;"></div><div align="left" class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: left;"></div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;">Basically, the students are asked to look at a drawing of a Great White shark and based upon an information card about the actual Great White the drawing was in proportion to, determine the scale. Then the students have to create their own drawing of a Megalodon also to the same scale to get an idea of just how much bigger this shark was thought to be compared to the Great White. </span></strong></div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;"></span></strong> </div><div class="separator" style="clear: both; text-align: left;"><strong><span style="color: purple;">This investigation was very fun and was easily applied to the 6th Grade Ratio and Proportions Unit. Please look at the sample portfolio below. If this unit looks like something you might want to use in your class, please visit <a href="http://www.teacherspayteachers.com/Product/Megalodon-How-Big-was-it-An-Investigation-Using-Proportionate-Reasoning">http://www.teacherspayteachers.com/Product/Megalodon-How-Big-was-it-An-Investigation-Using-Proportionate-Reasoning</a></span></strong> <span style="color: purple;"><strong>to download the full investigation with all templates and supplementary materials. Also please check back here for more ideas for the Common Core.</strong></span></div><div class="separator" style="clear: both; text-align: left;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-A3CBtgcvr-I/UT6O7PdxwzI/AAAAAAAAASQ/eCJCJy_0jtw/s1600/MEGALODON+Portfolio+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-A3CBtgcvr-I/UT6O7PdxwzI/AAAAAAAAASQ/eCJCJy_0jtw/s320/MEGALODON+Portfolio+1.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-N_G4-Yg7gFQ/UT6O9p2ewZI/AAAAAAAAASY/cYnCk-LurRU/s1600/MEGALODON+Portfolio+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-N_G4-Yg7gFQ/UT6O9p2ewZI/AAAAAAAAASY/cYnCk-LurRU/s320/MEGALODON+Portfolio+2.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-2QvkXhrSrcA/UT6PJ71isAI/AAAAAAAAASw/RUEkY9RmdqQ/s1600/MEg3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://3.bp.blogspot.com/-2QvkXhrSrcA/UT6PJ71isAI/AAAAAAAAASw/RUEkY9RmdqQ/s320/MEg3.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-EwkOUD5Ui_c/UT6PJG_1mAI/AAAAAAAAASo/wOG9QmoFisY/s1600/MEg4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-EwkOUD5Ui_c/UT6PJG_1mAI/AAAAAAAAASo/wOG9QmoFisY/s320/MEg4.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-v9wG6GHijDw/UT6PF-pg3bI/AAAAAAAAASg/dydMGgwjuHU/s1600/Picture+of+Transparencies.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://4.bp.blogspot.com/-v9wG6GHijDw/UT6PF-pg3bI/AAAAAAAAASg/dydMGgwjuHU/s320/Picture+of+Transparencies.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-6ns5KytOWLo/UT6PNN-VbqI/AAAAAAAAAS4/a1AePIOkwZU/s1600/Megalodon+Drawing+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-6ns5KytOWLo/UT6PNN-VbqI/AAAAAAAAAS4/a1AePIOkwZU/s320/Megalodon+Drawing+1.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: left;"> </div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-39811488086378402872013-03-11T09:44:00.001-07:002013-03-24T13:24:11.857-07:00Common Core 6th Grade Ratios and Proporitons Assessments<div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-wfs5sUWvY0U/UT4FVGDIplI/AAAAAAAAAQ8/drFRFJmLcPk/s1600/Betta+Math+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://4.bp.blogspot.com/-wfs5sUWvY0U/UT4FVGDIplI/AAAAAAAAAQ8/drFRFJmLcPk/s1600/Betta+Math+2.jpg" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><span style="color: purple;">As we move into the Common Core Curriculum, I plan to take time to Pre-test my students prior to starting a new Unit. I believe this is important because the emphasis of the Common Core is to help students learn more than when they came to you. I have found that in the past some of my biggest behavior problems were students that truly understood the material being taught and were bored. Assessing them at the beginning will help you challenge each student at the appropriate level. Here are some assessments that I have created by looking at the <a href="http://www.parcconline.org/parcc-assessment" target="_blank">PARCC</a> sample questions online. I am also in the process of using my <a href="http://www.quia.com/web" target="_blank">QUIA</a> site to try to simulate these types of problems online. <a href="http://www.teacherspayteachers.com/Product/Common-Core-6th-Grade-Ratio-and-Proportion-Assessments" target="_blank">You can download these assessments here</a>.</span><br /><span style="color: purple;"></span><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-PWtKZOEQCE0/UT4JsmSrKmI/AAAAAAAAARs/sBHRRnZLpo0/s1600/Preview.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="466" src="http://4.bp.blogspot.com/-PWtKZOEQCE0/UT4JsmSrKmI/AAAAAAAAARs/sBHRRnZLpo0/s640/Preview.png" width="640" /></a></div><br /><table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody><tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-2veqZ7Ecfz0/UT4Ih5XHjjI/AAAAAAAAARM/Ua4FfLb0bm0/s1600/Detailed+Answer+Choices.png" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="400" src="http://3.bp.blogspot.com/-2veqZ7Ecfz0/UT4Ih5XHjjI/AAAAAAAAARM/Ua4FfLb0bm0/s400/Detailed+Answer+Choices.png" width="311" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"></td></tr></tbody></table><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-MFVpxfU6ESk/UT4Iiot6YrI/AAAAAAAAARU/hfS7Io4Shg8/s1600/REalistic+Word+Problems.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-MFVpxfU6ESk/UT4Iiot6YrI/AAAAAAAAARU/hfS7Io4Shg8/s320/REalistic+Word+Problems.png" width="249" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-oltLAZy2AwU/UT4Ijcrjw5I/AAAAAAAAARc/7qRHrdv5ncA/s1600/Student+Tracker+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-oltLAZy2AwU/UT4Ijcrjw5I/AAAAAAAAARc/7qRHrdv5ncA/s320/Student+Tracker+1.png" width="249" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-36Mr_3BuyDY/UT4IkoKeRrI/AAAAAAAAARk/Q9GM1tm9z1c/s1600/Student+TRacker.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://4.bp.blogspot.com/-36Mr_3BuyDY/UT4IkoKeRrI/AAAAAAAAARk/Q9GM1tm9z1c/s320/Student+TRacker.png" width="249" /></a></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-39963000853503451132013-03-05T02:51:00.001-08:002013-03-05T02:59:22.341-08:00Common Core Ratios and Proportions Unit is Almost FinishedOur state testing has kept me very busy the past few weeks. My 7th Graders are testing today and my 6th graders will test later this week. (I am crossing my fingers that they work hard and do their best.) At the same time I am ready to get into the Common Core Curriculum. <br /><br />I haven't been able to spend near as much time on the Ratios and Proportions Unit that I wanted to, however I have been pluggins along with it. I think it is coming together nicely and I have already tested a couple of the Common Core Investigations to make sure that they will work. One investigation will deal with comparing the ancient shark Megalodon with the Great White Shark of today. I believe that we should start by posing the Big Question in these investigations to spark the interest of our students. Then we can fill in their instructional gaps as we see fit to help them be able to figure out the Big Question on their own. Here is a quick peak of the investigation entitled, "Megalodon: How Big Was It?"<br /><br />This is one investigation in a comprehensive unit that I am in the process of finishing up. I am very excited to be using this in my class 4th Quarter. Please visit frequently as I will be posting examples of student work, ideas for implementing investigations in math class as well as any ways I intend to improve upon these investigations once they start in the classroom. I promise (if this looks interesting to you) it will be ready very soon. I just do not want to put "junk" out but want to make sure that the investigations are as accurate and practical as possible and that the information is correct and properly aligned with the CCSS standards. Have a great day!<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-S578aj1he3o/UTXNugCNymI/AAAAAAAAANU/4Kp8suh8u3o/s1600/Megalodon.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="236" src="http://2.bp.blogspot.com/-S578aj1he3o/UTXNugCNymI/AAAAAAAAANU/4Kp8suh8u3o/s320/Megalodon.png" width="320" /></a></div>Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0tag:blogger.com,1999:blog-2430094044998894153.post-73293721554437227242013-02-20T17:11:00.000-08:002013-03-24T13:25:57.782-07:00Understanding the Concept of the Volume of a Rectangular PrismToday I did an awesome activity with my 6th graders to help them to understand the concept of volume. Not only did the kids enjoy this lesson, but they also came up with some amazing answers to the questions that were asked. This was a great higher level thinking activity that I believe could be applied to other grades that you might teach.<br /><br />(If you are interested in getting a copy of this lesson plan along with the prism template, please visit my TpT site to see if you may want to<a href="http://www.teacherspayteachers.com/Product/Common-Core-Geometry-Discovering-Volume" target="_blank"> download it</a>.)<br /><br />First, students cut out the foldable pictured below. They are then instructed to tape the sides together to form a prism. <br /><br /><img alt="" border="0" height="150" src="http://3.bp.blogspot.com/-sgRjayGDLpw/UST5bDM9WCI/AAAAAAAAAL0/8Wkf4UC2Zec/s200/Image+4.jpg" title="Foldable to show Rectangular Prism" width="200" /><br /><br />Next, I asked my students to tell me how many cubes they thought were inside of the whole prism. They got to work trying to figure this out. I had one student out of the 45 sixth graders that I teach come up with an excellent answer.<br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-tnYI3c7gVKI/UST-RRitOrI/AAAAAAAAAMI/66rZaaD_wo8/s1600/Image+5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="249" src="http://2.bp.blogspot.com/-tnYI3c7gVKI/UST-RRitOrI/AAAAAAAAAMI/66rZaaD_wo8/s320/Image+5.png" width="320" /></a></div><br /><br />I had this student come up and explain this. He came to this conclusion with NO HELP from me! I love when this happens!!!!<br /><br />The next question that I posed was what if two of these prisms were stacked up together? What would be the number of cubes inside? (Oh yeah, and I told the students they had to forget that the answer to the last question was 54 cubes and start the process from scratch.)<br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-9D2atzkZEbY/USUrZqr1PYI/AAAAAAAAAMc/g2KcVQ-c75w/s1600/Image+7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-9D2atzkZEbY/USUrZqr1PYI/AAAAAAAAAMc/g2KcVQ-c75w/s320/Image+7.jpg" width="320" /></a></div><br /><br />Here is one example of what they came up with. (We derived the formula together. As a class we determined that volume is equal to the area of the base (B) multiplied by the height.)<br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-2NMMh5G-o1Y/USUrtdpbQJI/AAAAAAAAAMk/RjbINJrn7i4/s1600/Image+3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://2.bp.blogspot.com/-2NMMh5G-o1Y/USUrtdpbQJI/AAAAAAAAAMk/RjbINJrn7i4/s320/Image+3.jpg" width="320" /></a></div><br />Then I had them situate the blocks so that they made a wider prism. Would they get the same volume? They had to prove it. <br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-rAUTmINJ8eM/USUtau8-OyI/AAAAAAAAAM4/BGtZOxpDXpE/s1600/Image+6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://4.bp.blogspot.com/-rAUTmINJ8eM/USUtau8-OyI/AAAAAAAAAM4/BGtZOxpDXpE/s320/Image+6.jpg" width="320" /></a></div><br /><br />Here is an example of what one student came up with.<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-NKgcrxm5rVA/USUtY83LjTI/AAAAAAAAAMw/7X0cSWcRrp4/s1600/Image+1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://3.bp.blogspot.com/-NKgcrxm5rVA/USUtY83LjTI/AAAAAAAAAMw/7X0cSWcRrp4/s320/Image+1.jpg" width="320" /></a></div><br /><br /><br /><br /><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-sgRjayGDLpw/UST5bDM9WCI/AAAAAAAAAL0/8Wkf4UC2Zec/s1600/Image+4.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><br /></div><br />Betta Mathhttps://plus.google.com/114030950692262674599noreply@blogger.com0