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9-12 Geometry Unit 6 Lesson 6

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Algebra 1 •Geometry Algebra 2 Extra Support Materials for Algebra 1

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

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

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
Lesson 15
Lesson 16
Lesson 17
Lesson 18

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Unit 6, Lesson 6

Completing the Square

Geometry

Practice

Problem 1
Student Task Statement
Suppose a classmate missed the lessons on completing the square to find the center and radius of a circle. Explain the process to that classmate. If it helps, use a problem you’ve already done, as an example.

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Problem 2

Student Task Statement

Match each expression with the value needed in the box in order for the expression to be a perfect square trinomial.

16
20.25
64
100

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Problem 3

Student Task Statement

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

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Problem 4

ForLesson 5: Squares and Circles

Student Task Statement

Select all the expressions that can be factored into a squared binomial.

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Problem 5

ForLesson 5: Squares and Circles

Student Task Statement

An equation of a circle is given by . Apply the distributive property to the squared binomials and rearrange the equation so that one side is 0.

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Problem 6

ForLesson 4: Distances and Circles

Student Task Statement

Graph the circle .
Find the distance from the center of the circle to each point on the list.
What do these distances tell you about whether each point is inside, on, or outside the circle?

<p>Blank coordinate plane with grid, <span class="math">\(x y\)</span> axis, origin <span class="math">\(O\)</span>.</p>

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Problem 7

ForLesson 3: Types of Transformations

Student Task Statement

The triangle whose vertices are and is transformed by the rule . Is the image similar or congruent to the original figure?

The image is congruent to the original triangle.
The image is similar but not congruent to the original triangle.
The image is neither similar nor congruent to the original triangle.

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Problem 8

ForLesson 16: Surface Area and Volume

Student Task Statement

A cube has a side length of 3 inches. A sphere has a radius of 3 inches.

Before doing any calculations, predict which solid has greater surface area to volume ratio.
Calculate the surface area, volume, and surface area to volume ratio for each solid.

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Lesson 6 Resources

Student Materials