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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 direction it...
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Handout
Mt. San Antonio Collage

Quadratic Functions and Their Graphs

For Students 9th - 12th Standards
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems. 
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Interactive
CK-12 Foundation

Quadratic Functions and Their Graphs: Soccer Ball Trajectory

For Students 9th - 12th Standards
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
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Lesson Plan
Curated OER

Graphing Quadratic Functions

For Teachers 9th - 12th Standards
Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.
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Worksheet
Curated OER

Graphs of Functions

For Students 10th - 12th
Students explore the concept of quadratic equations.  In this quadratic equations instructional activity, students are given the parent graph y=x^2 and must determine the equations of two quadratic equations that have been shifted.
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Instructional Video18:18
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Flipped Math

Piecewise Functions

For Students 9th - 10th Standards
Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...
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Interactive
GeoGebra

GeoGebra Graphing Calculator

For Students 9th - Higher Ed Standards
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
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Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 2)

For Students 9th - 10th Standards
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object,...
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Assessment
Illustrative Mathematics

Identifying Quadratic Functions (Vertex Form)

For Students 9th - 12th Standards
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...
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Assessment
Illustrative Mathematics

Building a Quadratic Function Form

For Students 9th - 12th Standards
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
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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 examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs when...
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Assessment
Curated OER

Building Functions

For Students 8th - 10th Standards
Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.
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Lesson Plan
Curated OER

Quadratic Formula

For Teachers 9th - 12th Standards
This worksheet is part of the TI-Nspire lesson on the quadratic formula. Pupils determine the solutions of a quadratic function by looking at a graph and the discriminant. They use the quadratic formula to solve quadratic functions on...
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Lesson Plan
Curated OER

Quadratic Formula

For Teachers 9th - 12th Standards
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
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Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
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Lesson Plan
Curated OER

Quadratic Functions

For Teachers 8th - Higher Ed
In this graphing quadratic equations worksheet, students find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
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Lesson Plan
West Contra Costa Unified School District

Graphing Exponential Functions

For Teachers 8th - 10th Standards
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
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Lesson Plan
Curated OER

Zeros of a Quadratic Function

For Teachers 9th - 12th Standards
Factor quadratic equations by teaching your learners how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
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Worksheet
Curated OER

Math Regents Exam Questions: Graphing Rational Functions

For Students 9th - 12th
In this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions.  Students determine values for a which a function is undefined given the equation of the function.
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Lesson Plan
Curated OER

Exploring Quadratic Data with Transformation Graphing

For Teachers 9th - 12th Standards
Using a data collection device to collect data regarding a bouncing ball, high schoolers use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of...
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Lesson Plan
Curated OER

Exponential Functions

For Teachers 8th - 10th
Learners graph exponential equations of the form y=Ma. They understand the effects of M, a, and k on the graph. They solve application problems using exponential functions.
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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, then apply these...
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Activity
101 Questions

Angry Bird Quadratics

For Teachers 9th - 12th Standards
Launch your classes into a modeling lesson. Young scholars watch angry bird trajectories and make predictions based on their knowledge of quadratic functions. The lesson includes a series of questioning strategies to lead learners to the...
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Lesson Plan
Curated OER

Representation of Quadratic Functions

For Teachers 8th - 10th
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.