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9-12 Algebra 1 Unit 8 Lesson 16

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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Unit 8, Lesson 16

The Quadratic Formula

Algebra 1

Practice

Problem 1
Student Task Statement
For each equation, identify the values of , , and that you would substitute into the quadratic formula to solve the equation.

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Problem 2

Student Task Statement

Use the quadratic formula to show that the given solutions are correct.

. The solutions are and .
. The solutions are and .
. The solutions are .

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Problem 3

ForLesson 14: Completing the Square (Part 3)

Student Task Statement

Select all the equations that are equivalent to .

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Problem 4

ForLesson 6: Building Quadratic Functions to Describe Situations (Part 2)

Student Task Statement

Technology required.

Two objects are launched upward. Each function gives the distance from the ground, in meters, as a function of time, , in seconds.

Object A:

Object B:

Use graphing technology to graph each function.

Which object reaches the ground first? Explain how you know.
What is the maximum height of each object?

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Problem 5

Student Task Statement

Identify the values of , , and that you would substitute into the quadratic formula to solve the equation.

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Problem 6

ForLesson 14: Absolute Value Functions (Part 2)

Student Task Statement

On the same coordinate plane, sketch a graph of each function.

Function , defined by
Function , defined by

<p><strong>Blank coordinate grid, Origin O. X axis from negative 12 to 9 by 3’s. Vertical axis from negative 3 to 21 by 3’s.</strong></p>

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Lesson 16 Resources

Student Materials Student Materials in Spanish