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Interactive
CK-12 Foundation

Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
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Interactive
CK-12 Foundation

Intercepts by Substitution: Finding a Linear Product Using a Quadratic

For Students 9th - 12th Standards
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...
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Lesson Plan
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
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Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
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Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
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Activity
Fall River Schools

Parabolas Are All Around Us

For Students 9th - 12th Standards
Moving parabolas off of graph paper and into the real world is the task at hand in this detailed poster project. First, learners perform a cumulative activity identifying many characteristics of an assigned quadratic equation. Next, they...
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Lesson Plan
Virginia Department of Education

Quadratic Equations

For Teachers 9th - 12th
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
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Interactive
PHET

Graphing Quadratics

For Students 8th - 12th Standards
Quadratics only have three terms, but each one is fairly important. Scholars use an interactive to explore how each coefficient affects the graph of a quadratic function. They also see how changes to the vertex form and how changes to...
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Lesson Plan
Virginia Department of Education

Functions 1

For Teachers 8th - 10th Standards
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
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Worksheet
Curated OER

Solving Quadratic Equations by Graphing

For Students 9th - 11th
In this quadratic equation worksheet, learners solve quadratic equations by graphing on a coordinate plane. Given the roots and maximum or minimum points, students graph a quadratic equation. This one-page worksheet contains five problems.
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Lesson Plan
Virginia Department of Education

Quadratic Modeling

For Teachers 10th - 12th Standards
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
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Assessment
Mathed Up!

Drawing Quadratic Graphs

For Students 8th - 11th Standards
Curve through the points. The resource, created as a review for the General Certificate of Secondary Education Math test, gives scholars the opportunity to refresh their quadratic graphing skills. Pupils fill out function tables to find...
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Lesson Plan
Virginia Department of Education

Curve of Best Fit

For Teachers 10th - 12th Standards
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
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Interactive
CK-12 Foundation

Linear, Quadratic, and Cubic Models: The Box Model

For Students 10th - 12th Standards
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.
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Unit Plan
Virginia Tech

Unit Plan: Exponential and Logarithmic Functions

For Teachers 10th - 12th Standards
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
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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.
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Lesson Plan
Curated OER

Graphs and Functions

For Teachers 8th - 10th
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
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Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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Lesson Plan
Curated OER

Forms of Quadratic Equations

For Teachers 9th - 12th Standards
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson.  In this transforming parabolas to fit a particular quadratic equation lesson, high schoolers describe the transformations of the parabola...
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Unit Plan
1
1
Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
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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...
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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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Assessment
1
1
Illustrative Mathematics

Identifying Quadratic Functions

For Students 9th - 12th Standards
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
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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...