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# Pulling It All Together (Part 2)

Lesson 9 of 9

## Objective: SWBAT prepare for upcoming assessment

#### Continuing with the Review

*20 min*

During today's lesson I ask the students to continue with their work on the Summative Review (Summative Review Handout). As they work I circulate around the room, assessing student progress and providing leading questions when necessary.

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At this point, I pull the class together and we discuss their results on the Summative Review. When we arrive at Question 4, the transformations question, I ask students to write the different compositions of transformations that they arrived at on the board. We take the time to examine and try out the variations, and I try to drive home to them the fact that all of their compositions include a dilation – because of the link between dilations and similar figures.

Question 5 is pretty straightforward and I discuss briefly the “real life” uses of similar triangles to determine the dimensions of objects or landforms that are unable to be measured.

With Question 6, I lead the discussion toward similar two and three-dimensional figures. If two rectangles are similar, what is the ratio of their areas? By giving examples, the students can come to the conclusion that the ratio of the areas of similar figures will equal the ratio of similitude *squared*. When we look at their results for part c in question 6, the students will see that the ratio of the volumes will be the ratio of similitude *cubed*. While we have not yet covered volume in this course, this question sets the stage for this unit in the future.

#### Resources

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#### Ready for the Test?

*5 min*

I remind the class that the unit summative assessment will be given during the next class meeting. As final preparation, we discuss the importance of labeling diagrams. I emphasize the importance of explicitly identifying a ratio and recording it as part of the work on a problem. I touch briefly on the importance of assessing one's own answers by asking the question, “Does this answer make sense?”

Finally, I remind the students that I am available for extra help after school, should they have any last minute questions.

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It's been over a year since anyone asked, but I, too, was curious if you could share your assessment? It would be helpful to see how you structure your assessment, especially how similar vs. novel it is relative to the problems you've had them solve in class. Thanks!

| 7 months ago | Reply

Dynamic and engaging lessons! As always your lessons require very little tweaking form my students (not an honors class). Thanks for sharing your lessons! Velvet Wright

| one year ago | Reply

Ditto to everything Amanda said! Could you please provide the similarity assessment? I would love to be able to use it. Thanks, Lucy Scholz

| 2 years ago | Reply

Beth,

Once again, these are dynamite lessons! My students have glowing reviews and are learning a ton! One kid told me the other day "you are the only math teacher who has EVER been able to teach me ANYTHING!" I know it's the lessons we're using! Great work!

Do you have an electronic copy of the similarity assessment you use at the end of this unit? The last lesson ends with "the assessment will be given tomorrow," but I don't see it anywhere.

I would love to use it.

Thanks!

Amanda Curtis

| 2 years ago | Reply*expand comments*

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- LESSON 1: Introduction to Similar Figures
- LESSON 2: Similar Figures Activity
- LESSON 3: Create Your Own Similar Figures
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- LESSON 5: Working with Similar Triangles
- LESSON 6: Working with Similar Triangles, Part 2
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- LESSON 9: Pulling It All Together (Part 2)