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# Series of Transformations that Lead to Similarity

Lesson 16 of 18

## Objective: SWBAT understand what happens when a series of translations, reflections, rotations, and/or dilations is performed on a figure.

#### Warm Up

*10 min*

Each day, students complete a warm-up that usually consists of spiraling the previous day's material, in addition to older material. Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

For a video narrative about how I structure each lesson, and how the warm-up fits in, click here.

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#### Huddle

*10 min*

For the huddle in this lesson, I ask kids to come up with multiple ways to demonstrate compound transformations, and it's really cool the kinds of things they come up with.

See the student samples for some ideas.

I push kids also to be VERY precise about their explanations... how much of a translation? In which direction? Reflection over what line, exactly? This is really, really important.

##### Resources (7)

#### Resources

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#### Homework

*15 min*

Homework is to be completed at home and should take students approximately 15 minutes.

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- UNIT 1: FLUENCIES AND THE LANGUAGE OF ALGEBRA
- UNIT 2: SOLVING LINEAR EQUATIONS
- UNIT 3: INTRODUCTION TO FUNCTIONS
- UNIT 4: INTERPRETING AND COMPARING LINEAR FUNCTIONS
- UNIT 5: SYSTEMS OF LINEAR EQUATIONS
- UNIT 6: EXPONENTS AND SCIENTIFIC NOTATION
- UNIT 7: PARALLEL LINES, TRANSVERSALS, AND TRIANGLES
- UNIT 8: CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS
- UNIT 9: PATTERNS OF ASSOCIATION IN BIVARIATE DATA
- UNIT 10: SLOPE REVISITED
- UNIT 11: VOLUME OF CYLINDERS, CONES, AND SPHERES
- UNIT 12: POLYNOMIALS AND FACTORING
- UNIT 13: QUADRATIC FUNCTIONS

- LESSON 1: Introduction to congruence and similarity through transformations
- LESSON 2: Translations 1
- LESSON 3: Translations 2
- LESSON 4: Reflections 1
- LESSON 5: Reflections 2
- LESSON 6: Reflections 3
- LESSON 7: Rotations 1
- LESSON 8: Rotations 2
- LESSON 9: Mixed Review - Transformations
- LESSON 10: Congruence and Similarity Through Transformations Test 1
- LESSON 11: Dilations 1
- LESSON 12: Dilations 2
- LESSON 13: Similarity 1
- LESSON 14: Similarity 2
- LESSON 15: Series of Transformations that Lead to Congruence
- LESSON 16: Series of Transformations that Lead to Similarity
- LESSON 17: Mixed Review - Transformations
- LESSON 18: Congruence and Similarity Through Transformations Unit Test