Lesson Plan
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This lesson plan examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs...
Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 1)

For Students 9th - 10th Standards
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
Lesson Plan
EngageNY

Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways

For Students 9th - 10th Standards
Need a real scenario to compare functions? This lesson has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs. 
Lesson Plan
West Contra Costa Unified School District

Comparing Linear and Quadratic Functions

For Teachers 8th - 10th Standards
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Assessment
Illustrative Mathematics

Building an Explicit Quadratic Function by Composition

For Students 9th - 12th Standards
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Lesson Plan
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EngageNY

Solving Quadratic Equations by Completing the Square

For Students 9th - 10th Standards
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
Lesson Plan
West Contra Costa Unified School District

Solving Quadratic Equations – Alternative Methods

For Teachers 9th - 12th
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
Lesson Plan
Virginia Department of Education

Transformational Graphing

For Students 9th - 12th Standards
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
Lesson Plan
Texas Instruments

Let's Play Ball with Families of Graphs

For Teachers 9th - 12th Standards
Learners explore quadratic equations in this Algebra II instructional activity. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation...
Worksheet
Curated OER

Quadratic Inequalities

For Students 8th - 10th
In this quadratic inequalities instructional activity, students graph six quadratic inequalities. They solve two quadratic inequalities to identify one solution. In this quadratic inequalities instructional activity, students draw the...
Worksheet
Curated OER

Topic 6.1 - Solving Quadratic Equations by Graphing

For Students 7th - 9th
In this quadratic equation worksheet, students graph each quadratic equation, name the axis of symmetry, name the vertex, and identify the solutions of the equation. There are 12 problems on this page.
Worksheet
Curated OER

Graphing Eight Quadratic Inequalities

For Students 10th - 11th
In this graphing quadratic inequalities worksheet, students graph eight quadratic inequalities.  Cartesian coordinate systems and solutions are provided.
Worksheet
Curated OER

Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically

For Students 10th - 12th
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
Worksheet
Curated OER

The Graph of a Quadratic Function

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students graph quadratic functions.  The five page worksheet contains a combination thirteen multiple choice and free response questions.  Answers are included. 
Lesson Plan
Curated OER

Solving Quadratic Equations by Factoring

For Teachers 9th
In this solving quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they graph each quadratic equation by factoring. Then, students find the axis of symmetry and the vertex. They also find...
Worksheet
Curated OER

Integrated Algebra/Math A Regents Questions: Systems of Quadratic/Linear Equations

For Students 9th - 12th
In this system of equations worksheet, students solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.
Lesson Plan
Curated OER

Zeros of a Quadratic Function

For Teachers 9th - 12th Standards
Factor quadratic equations by teaching your high schoolers how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Lesson Plan
EngageNY

Stretching and Shrinking Graphs of Functions

For Students 9th - 10th Standards
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections. 
Assessment
Concord Consortium

Betweenness II

For Students 7th - 12th Standards
Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...
Lesson Plan
Explore Learning

Quadratics: Polynomial Form

For Teachers 9th - 12th
Throught this subscription-based sight, learners explore different aspects of the parabola by changing equations from standard to vertex form. Next, find the general form of the vextex based on the values of a, b, and c, and investigate...
Assessment
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Illustrative Mathematics

Which Function?

For Students 9th - 12th Standards
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 

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