Differentiating Instruction in Algebra 1

Ready-to-Use Activities for All Students (Grades 7-10)

Kelli Jurek

• Publisher: Routledge
• Year: 2021
• Print ISBN: 9781032143941
• eBook ISBN: 9781000491685
• Edition: 1
• Topic: Education
• Subtopic: Teaching Mathematics

Teachers often have too little time to prepare differentiated lessons to meet the needs of all students. Differentiating Instruction in Algebra 1 provides ready-to-use resources for Algebra 1 students. The book is divided into four units: introduction to functions and relationships; systems of linear equations; exponent rules and exponential functions; and quadratic functions. Each unit includes big ideas, essential questions, the Common Core State Standards addressed within that section, pretests, learning targets, varied activities, and answer keys. The activities offer choices to students or three levels of practice based on student skill level. Differentiating Instruction in Algebra 1 is just the resource math teachers need to provide exciting and challenging algebra activities for all students!

Grades 7-10

Unit 4
QuadRatic Functions

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DOI: 10.4324/9781003234180-5

The final unit focuses on quadratic functions. Students will continue their study of nonlinear functions by identifying quadratic functions in tables, graphs, and equations and identifying the characteristics of quadratics. Real-life applications introduced through story problems are included in most lessons. The final project, which could be used as an authentic assessment, is a catapult project.

This unit begins with a pretest and four real-life applications of quadratic functions that can be discussed in small groups and then as a larger group. Many of the activities will offer the students an opportunity to choose learning activities according to their learning style, personal interests, and readiness level.

What Do We Want Students to Know?

Common Core State Standards Addressed: • A.SSE.3a, 3b • AAPR.3 • A.CED.2 • A.REI.4a, 4b • F.IF.4, 6, 7a, 8a, 9 • F.BF.1	Big Ideas • Quadratics are parabolas and must have a 2 as their highest exponent. • The zeros/solutions are where the parabola crosses the x-axis. • There are different ways to solve quadratics. • Different forms of quadratics provide different key information. • Quadratics can model many real-world situations.
	Essential Questions • What does it mean to find the zeros/solutions? • What is a parabola? • How do I determine the best method to solve a quadratic? • What information do I need to sketch a quadratic?

Critical Vocabulary

Parabola	Function	x-intercept
y-intercept	Zeros(roots)	Axis of symmetry
Maximum value	Minimum value	Vertex
Quadratic function	Quadratic formula	First differences
Second differences	Terms

Unit Objectives

As a result of this unit, students will know:

• ➤ quadratic functions have an independent variable raised to a second power,
• ➤ when quadratic functions are graphed they are shaped like parabolas, and
• ➤ all quadratic functions have a vertex, a line or symmetry, and a minimum or maximum.

As a result of this unit, students will understand that:

• ➤ quadratic functions can be written in three different forms, and each form provides key information about the quadratic;
• ➤ quadratic functions can have zero, one, or two solutions;
• ➤ quadratic functions can be solved using various methods; and
• ➤ quadratic functions model real-life situations.

As a result of this unit, students will be able to:

• ➤ identify a quadratic relationship from a graph, table, or equation;
• ➤ find the vertex, axis of symmetry, and roots (zeros) from a graph, table, or equation;
• ➤ solve quadratic equations by graphing, factoring, completing the square, or using the quadratic formula; and
• ➤ interpret maximum and minimum points and intercepts in real-life applications.

Launch Scenarios

• ➤ After a soccer game, teammates shake hands to congratulate each...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• Acknowledgments
• IntRoduction
• Unit l IntRoduction to Functions and Relationships
• Unit 2 Systems of lineaR Equations
• Unit 3 Exponent Rules and Exponential Functions
• Unit 4 QuadRatic Functions
• AnsweR Key
• RefeRences
• About the AuthoR
• Common Core State standaRds Alignment