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9-12 Integrated Math 2 Unit 2

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Integrated Math 1 •Integrated Math 2 Integrated Math 3

Unit

Unit 1 •Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

Modeling Prompts

K-5
6-8
9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Modeling Prompts

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Unit 2

Student Learning Targets

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Integrated Math 2

Section AProperties of Dilations

1

Scale Drawings

I can dilate a figure given a scale factor and a center.

2

Scale of the Solar System

I can calculate the lengths of parts of a scaled drawing.

3

Measuring Dilations

I know that when figures are dilated by a scale factor of , all lengths in the figure are multiplied by .

Section BSimilarity Transformations and Proportional Reasoning

Section CSimilarity in Right Triangles

Section DLet’s Put It to Work

Unit 2 Resources

Student Materials

4

Dilating Lines and Angles

I can explain what happens to lines and angles in a dilation.

5

Splitting Triangle Sides with Dilation (Part 1)

I can explain why the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.

6

Connecting Similarity and Transformations

I can write similarity statements.
I know the definition of similarity.

7

Reasoning about Similarity with Transformations

I know the relationships between corresponding sides and angles in similar triangles.

8

Are They All Similar?

I can critique proofs that use similarity.
I can write proofs using the definition of similarity.

9

Conditions for Triangle Similarity

I can explain why the Angle-Angle Triangle Similarity Theorem works.

10

Other Conditions for Triangle Similarity

I can explain why the Side-Angle-Side and Side-Side-Side Triangle Similarity Theorems work.

11

Splitting Triangle Sides with Dilation (Part 2)

I can explain why a segment parallel to one side of a triangle divides the other sides proportionally.

12

Weighted Averages

I can calculate the coordinates of a point on a line segment that partitions the segment in a given ratio.

13

Weighted Averages in a Triangle

I can determine the point where the medians of a triangle intersect.

14

Practice with Proportional Relationships

I can find scale factors and use them to solve problems.

15

Using the Pythagorean Theorem and Similarity

I can find similar triangles formed by the altitude to the hypotenuse in a right triangle.

16

Proving the Pythagorean Theorem

I can prove the Pythagorean Theorem.

17

Finding All the Unknown Values in Triangles

I can solve problems involving similar right triangles.

18

Reflection Similarity

I can solve and interpret problems involving similar right triangles.