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9-12 Integrated Math 2 Unit 1 Lesson 4

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

Lesson

Lesson 1 Lesson 2 Lesson 3 •Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14

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

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14

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Unit 1, Lesson 4

Big Angles, Long Sides. Small Angles, Short Sides.

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Integrated Math 2

Practice

Problem 1
Student Task Statement

List the side lengths in order from least to greatest.

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Problem 2

Student Task Statement

Estimate the length of side . Explain your reasoning.

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Problem 3

Student Task Statement

In triangle , , and angle is obtuse. What does the Triangle Inequality tell you about possible lengths for ? What do you know about the length of from the size of its opposite angle? Combine what you know about the length of into an inequality of the form .

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Problem 4

Student Task Statement

What is the length of side ?

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Problem 5

from an earlier course

Student Task Statement

Which triangle postulate could be used to prove triangle is congruent to triangle ?

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Problem 6

ForLesson 2: A Triangle’s Sides

Student Task Statement

A city bus runs between the library, grocery store, and post office. The bus begins at the library and drives 5 kilometers along a straight road to the grocery store. The next stop is the post office is 12 kilometers from the grocery down another straight road. Can the library be 14 kilometers from the post office? Explain your reasoning.

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Problem 7

ForLesson 3: There’s an Inequality Describing Any Triangle’s Sides

Student Task Statement

Write an inequality to show all possible side lengths for side .

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Lesson 4 Resources

Student Materials