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# Dilations 1

Lesson 11 of 18

## Objective: SWBAT understand dilations with the origin as the center of dilation.

## Big Idea: Biggie or Smalls? Set the foundation for students' understanding of dilations, and use Geogebra to illustrate.

*75 minutes*

#### 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 like to review #4, since it has a scale factor that is not a whole number. It gets kids to move away from just their instincts (double or triple is easy) to apply the idea of image over original, which yields a scale factor of 3/2. It's also 1.5 times larger, which is a relatively simple concept for kids to master. This sets the stage for even more fractions as scale factors.

#### 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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*Your videos are SO helpful in understanding the key topics of the lesson. Thanks! This is my first year teaching 8th grade math and you have made my life easier. | one year ago | Reply*

Hello -

Apologies for the delay in response. If you download the Word file and view the comments, you'll see various notes I put on lessons; for example, the Geogebra file. Here it is:

http://geogebratube.org/student/m6556

" target="_blank" >http://geogebratube.org/student/m6556">http://geogebratube.org/student/m6556I hope this is not too late and it is at least somewhat helpful. Hope all is well!

Best,

Jeff

| 3 years ago | Reply*expand comments*

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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