I only had about a week to cover transformations so I focused on translations and reflections, and then briefly covered dilations. I used coordinate changes, where (x,y) transformed to (x +2, y-1) or (-x,y) as I feel that will benefit them in later Algebra classes as well. Michael Pershan’s created an excellent Tool for Exploring Transformation Rules using Desmos that I love. I gave my students the link and let them play with it.
Then I had them take out the +5, and +8 so they only had (x,y).
I challenged them to make the house FATTER. It took them a while to figure out they had to multiply a number instead of add. After they were all able to make very fat houses asked them to make it skinner, taller, and shorter. After that, I asked if they thought they could turn it upside down. The students enjoyed making the house different sizes and moving it around. But the best benefit came days later when I only had to mention the house to remind them how to differentiate between the translations and dilations in future work.
Here is the link to the Transformations foldable I created, using Kuta software for some of the graphs.
Wow! We had 65 people attend the second Global Math Department Foldable talk tonight. We had some technical difficulties, mostly with audio. I didn’t use a microphone last week when I jumped in on Megan’s talk so I didn’t think about using one this week. But, I should have because I was hard to hear. I hope I didn’t speak too fast (I have that tendency), which would make poor audio even worse. If you didn’t get to go, you can view (and hopefully listen) to the entire presentation here. So far I can only see the chat and the slides. I am hoping that the audio is still processing.
Here are the slides from my presentation. Pictures of some of the foldables are at the end.
To download the actual foldables, visit the Math Teacher’s Wiki.
I made this graphic organizer to help my students quickly (and visually) reference the math symbols that words often translate into. I had them glue it onto the back cover of their notebooks for easy reference. The words are not centered on the page so that the paper can be easily cut down to fit onto spiral bound notebook pages. The PDF file is below. Thanks! 🙂
Words Into Math Graphic Organizer and Word Bank
I Speak Math Materials by Julie Reulbach is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Based on a work at https://ispeakmath.wordpress.com.
6th and 7th grade students do not like to write equations for word problems. They just want to scratch out some calculations and give me their answer. Often, their answer is correct, but I would love for them to develop how to write an equation from a word problem at this level.
I made this four step foldable to visually slow them down, and illustrate the steps they need to take when writing an equation from a word problem. The students caught on very easily when I did this in class with them. For the first time, they seemed to realize that they needed to complete several steps in order to solve a word problem (by writing an equation). I emphasized the importance of the equation.
This is the example that I wrote on the board to illustrate how to write an equation and solve it.
PDF and Word File of the Foldable.
Sorry for the upside down picture! I was trying to post using my iPad. That app needs work!
Yes, I am loving some foldables right now! The kids love them too. They get to cut, glue, hi-light, and write in little boxes. Plus, when they are studying, they can just flip up and look at one concept at a time so they are not overwhelmed with an entire worksheet. Nirvana.
I am coming up with them for review now, but next year I would like to introduce them when we initially take notes. Then, the students could take the notes right on the foldable and not have to recreate (read – waste time) writing everything again in review. This will leave more time for working on math problems in class – using the foldable as a guide of course!
Again, printing is the only tricky part to make sure it lines up well. I also had the students put a small strip of glue behind the words “I can find Slope from” so it would have a sturdy header and flip better.
6th Slope Foldable – Editable Word File
6th-slope-foldable – PDF
Our Functions chapter is full of great information that I would love my students to remember – even more than usual! I created this Graphic Organizer in the form of a foldable. It is stuffed full of information including…
- NAGS – the four ways to represent a linear equation. Numerical/analytical, Algebraic equation, Graph, Sentence. (Thanks @pamjwilson for this idea!)
- Functions – Function notation, Domain, Range, Vertical line test.
- GRAPHING – Three ways to graph, Table, y=mx+b, using intercepts
- Slope – words, formulas, parallel, and perpendicular slopes
- Inequalities – Graphing inequalities in two variable. Dotted line vs. shaded line, test point.
On the back I put a place for their name and extra notes. The notes section was a new addition to this type of foldable for me and one of my favorite parts!
I go over the graphic organizer in class, giving them examples to work for most of the sections. After we were finished, I had them turn the graphic organizer over and write notes on the back. I suggested that they could take notes of things they wanted to remember, or about the topics they felt they needed to focus on when studying. It was good to do this after the review because what they were unclear about was fresh in their heads. I then had a few students share what they wrote. This was helpful to other students. Some of them wrote extra items as other students read their notes out in class.
I had much higher than usual scores on this test (and more students scoring higher as well). Considering that this is one of our more difficult topics of the year, I feel that this foldable really helped the students!
Note: I did not include how to write linear equations because my students are solid in this area. We added examples when we went over this in class.
To use: This is a double sided foldable. You will need to print both side, being sure to line the correct word up with the inside when you print it out. Students will need to only fold the outside two flaps and then cut on the dotted lines.
File to print out: 7th Chapter 8 Review Foldable – Graphing PDF or one you can edit from Box.