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9-12 Extra Support Materials for Algebra 1 Unit 8 Lesson 3

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 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23 Lesson 24

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
Lesson 19
Lesson 20
Lesson 21
Lesson 22
Lesson 23
Lesson 24

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Lesson 3

3.1 Warm-up 3.2 Activity 3.3 Activity

Unit 8, Lesson 3

Squares and Equations

Extra Support Materials for Algebra 1

3.1

Warm-up

Math Talk: Squaring Values

Find the value of each expression mentally.

Are You Ready for More?

3.2

Activity

Squares with Squares

Standards Alignment

Building On

Addressing

Building Toward

A-REI.4.b

Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

View Full Standard

Let .

Select all pairs of values that could be and .
List one other possible pair of values for and that make the equation true.
Use the diagrams to find the value of the side length for each square, then find the value for .

a. The square has an area of 25.

b. The square has an area of 36.

c. The square has an area of 100.

Are You Ready for More?

3.3

Activity

Matching Solutions and Equations

Standards Alignment

Building On

Addressing

Building Toward

A-REI.4.b

Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

View Full Standard

Here are some equations and a list of numbers. Which numbers are solutions to which equations?

-13
-11
-10
-9
-7
7
9
10
11
13

Are You Ready for More?

Glossary

None

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Standards Alignment

None

Building On

Addressing

Building Toward