Unit Plan
Texas Education Agency

Texas Gateway: Analyzing Graphs of Quadratic Functions

For Students 9th - 10th Standards
Given the graph of a situation represented by a quadratic function, the student will analyze the graph and draw conclusions.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Quadratic Functions

For Students 9th - 10th
Twenty problems present a variety of problems working with various aspects of quadratic functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
eBook
CK-12 Foundation

Ck 12: Analysis: Methods for Solving Quadratic Functions

For Students 9th - 10th
A review of the three major methods of solving quadratic functions for X intercepts.
Unit Plan
Concord Consortium

Concord Consortium: Quadratic Functions in Vertex Form

For Students 9th - 10th
Given the equation of a quadratic function in vertex form, students learn to identify the vertex of a parabola from the equation, and then graph the parabola.
Unknown Type
Khan Academy

Khan Academy: Features of Quadratic Functions: Strategy

For Students 9th - 10th Standards
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ('roots') of the function, and the vertex of the parabola.
Activity
Analyze Math

Analyze Math: Quadratic Functions: Problems (1)

For Students 9th - 10th Standards
The tutorial demonstrates how to use quadratic functions to solve word problems. Some topics discussed are minimum points, maximum points, and vertex. The activity consists of examples with detailed solutions.
eBook
Math Planet

Math Planet: Algebra 2: How to Graph Quadratic Functions

For Students 9th - 10th Standards
Gain an understanding of how to graph quadratic equations by viewing an example and a video lesson.
Handout
Other

Quick Math: Quadratic Equations

For Students 9th - 10th Standards
Complete step-by-step investigation of quadratic functions, allowing the user to input the function. Each step, from solving f(x) = 0 to graphing and finding extreme points, is covered in depth, via links for each step (requires...
Handout
Purple Math

Purplemath: Graphing Quadratic Functions: Introduction

For Students 9th - 10th Standards
The most basic quadratic is y = x2. The general technique for graphing quadratics is the same as for graphing linear equations. The quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear...
Handout
Interactive Mathematics

Interactive Mathematics: Find Equation of a Quadratic Function From Its Graph

For Students 9th - 10th
A detailed explanation of how to find a quadratic equation from its graph using different methods, including using software.
Lesson Plan
Khan Academy

Khan: Lsn 11 Ops W Polynomials, Rewriting Expressions, Quad Functions, Equations

For Students 9th - 10th
Lesson 1 of 4 for Passport to Advanced Math. Students will add, subtract, and multiply polynomials. They will build quadratic functions and write equations to represent a context.
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Quadratics

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains quadratic functions, including graphing functions and solving equations using factoring. There are example problems solved, problems for the student to attempt, and answers to the...
Unit Plan
Interactive Mathematics

Interactive Mathematics: Quadratic Equations

For Students 9th - 10th Standards
Using modeling, the world of quadratics is explored. Learn how to solve quadratics using methods of factoring, completing the square, and the quadratic formula. Also included are methods for graphing quadratic functions.
Handout
University College London

University College London: Math Help Glossary: Keyword: Quadratic

For Students 9th - 10th Standards
A "glossary" definition of quadratic functions, including examples of quadratic and non-quadratic functions, and links to related definitions as well and graphs.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le What Functions Do Two Graph Points Determine?

For Teachers 9th - 10th Standards
For this task, students find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 1.7 the Fundamental Theorem of Algebra for Quadratics

For Students 9th - 10th Standards
This section will primarily explore how the Fundamental Theorem of Algebra applies to Quadratic Functions.
Unit Plan
Concord Consortium

Concord Consortium: Graphing Quadratic Equations

For Students 9th - 10th Standards
Students learn to graph the equation of a quadratic function using the coordinates of the vertex of a parabola and its x-intercepts.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear, Exponential, and Quadratic Models

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Given a table of values, determine the type of function being modeled.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Which Function?

For Teachers 9th - 10th Standards
For this task, students are presented with a graph and asked to identify the functions that could be represented by it and explain their thinking. The task addresses knowledge related to interpreting forms of functions derived by...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if.c.7.a, a sse.b.3, F if.c.7: Graphs of Quadratic

For Teachers 9th - 10th
During this task, students will realize that equivalent expressions produce the same graph. The activity will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.
Unit Plan
Texas Education Agency

Texas Gateway: Analyzing the Effects of Changes in "A" on the Graph Y=ax^2 + C

For Students 9th - 10th Standards
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when "a" is changed.
Handout
Purple Math

Purplemath: Solving Quadratic Equations by Factoring

For Students 9th - 10th
Demonstrates how to solve quadratics using factoring (that is/the Zero-Product Property). Provides worked examples/and warnings about common mistakes.
Unit Plan
Khan Academy

Khan Academy: Number of Solutions of Quadratic Equations

For Students 9th - 10th
Analyze quadratic equations in order to determine how many different real number solutions they have. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Identifying Functions

For Teachers 9th - 10th Standards
In this task, students are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.

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