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9-12 Integrated Math 2 Unit 7 Lesson 5

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 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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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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
Lesson 15
Lesson 16
Lesson 17
Lesson 18

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Unit 7, Lesson 5

Lines, Angles, and Curves

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Integrated Math 2

Practice

Problem 1
Student Task Statement

Find the measures of and .

Circle with center A. Diameter is drawn. Central angles z and 20 degrees are formed along the diameter. Arc y is opposite central angle z. Arch x is opposite central angle of 20 degrees.

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Problem 2

Student Task Statement

Give an example from the image of each kind of segment.

a diameter
a chord that is not a diameter
a radius

<p>Circle with center A.</p>

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Problem 3

Student Task Statement

Identify whether each statement must be true, could possibly be true, or definitely can’t be true.

A diameter is a chord.
A radius is a chord.
A chord is a diameter.
A central angle measures 90.

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Problem 4

ForLesson 13: Weighted Averages in a Triangle

Student Task Statement

Triangle has vertices at and . What is the point of intersection of the triangle’s medians?

The medians do not intersect at a single point.

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Problem 5

ForLesson 12: Weighted Averages

Student Task Statement

Consider the parallelogram with vertices at and . Where do the diagonals of this parallelogram intersect?

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Problem 6

ForLesson 13: Completing the Square and Complex Solutions

Student Task Statement

The graph shows the equation .

<p>Parabola y = negative 2x squared minus 3x + 1. Parabola opens down. Crosses x axis at 2 points. Y intercept at (0 comma 1).</p>

Based on the graph, how many real solutions are there to the equation ?
Based on the graph, how many real solutions are there to the equation ?

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Problem 7

ForLesson 3: Completing the Square

Student Task Statement

Find the center and radius of the circle represented by the equation .

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Lesson 5 Resources

Student Materials