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9-12 Extra Support Materials for Algebra 1 Unit 8 Lesson 19

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 19

19.1 Warm-up 19.2 Activity 19.3 Activity

Unit 8, Lesson 19

Quadratic Steps

Extra Support Materials for Algebra 1

19.1

Warm-up

Quadratic Error

Here is Han’s work to solve an equation. Determine the error he made and be prepared to explain the correct way to solve it.

Are You Ready for More?

19.2

Activity

Multiplying to Make Perfect Squares

Standards Alignment

Building On

Addressing

Building Toward

A-REI.4.a

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)² = q that has the same solutions. Derive the quadratic formula from this form.

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The class is asked to multiply 5 by a number to make it a perfect square.

Jada multiplies the number by 5.
Han multiplies the number by 15.
Elena multiplies the number by 9.
Kiran multiplies the number by 20.
Mai multiplies the number by 45.

Do you agree with any of the students that their multiplication will make a perfect square?
Find the pairs of positive integer factors of each of the numbers the students want to use.
What do you notice about the factors of the values that do create a perfect square? What do you notice about the factors of the values that do not create a perfect square?
What are some values you could multiply the number 7 by to make it a perfect square?
If is an integer, which of these values could be multiplied by so that the product is a perfect square?

Are You Ready for More?

19.3

Activity

Stepping Through Completing the Square

Standards Alignment

Building On

Addressing

Building Toward

A-REI.4.a

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)² = q that has the same solutions. Derive the quadratic formula from this form.

View Full Standard

For each step of the solution, explain what happened in each step and why that step might be taken.

Solve .

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Glossary

None

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Standards Alignment

None

Building On

Addressing

Building Toward