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Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. For this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
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Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
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Worksheet
Curated OER

Quadratic Functions

For Students 9th - 12th
Students explore the concept of quadratic equations.  In this quadratic equations activity, students determine what shifts of a parent graph will look like by describing in sentences.  Students factor quadratic expressions and solve...
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Activity
Illustrative Mathematics

Building an Explicit Quadratic Function by Composition

For Teachers 8th - 12th Standards
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of composition...
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Lesson Plan
West Contra Costa Unified School District

Quadratic Equations — What We Know

For Teachers 8th - 10th Standards
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
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Activity
Agile Mind

Transforming Graphs of Quadratic Functions

For Teachers 8th - 12th Standards
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
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Lesson Plan
1
1
Curated OER

Building a General Quadratic Function

For Teachers 9th - 12th Standards
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
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Interactive
Shodor Education Foundation

Function Flyer

For Students 8th - 12th Standards
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
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Assessment
Illustrative Mathematics

Graphs of Power Functions

For Students 9th - 12th Standards
There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of intersection....
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Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
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Lesson Plan
West Contra Costa Unified School District

Evaluating Functions Graphically and Algebraically

For Teachers 8th - 10th Standards
High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.
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Assessment
Inside Mathematics

Functions

For Teachers 9th - 12th Standards
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
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Lesson Plan
1
1
Curated OER

Building a Quadratic Function Form

For Teachers 9th - 12th Standards
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
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Lesson Plan
Curated OER

Exploring Quadratic Data : Transformation Graphing

For Teachers 9th - 12th Standards
High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...
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Lesson Plan
Curated OER

Explore Learning Exponential Functions

For Teachers 10th - 12th
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
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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 lesson plan. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the...
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Lesson Plan
Curated OER

Up, Down, Right, Left - Function Families

For Teachers 6th - 10th
Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...
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Lesson Plan
Curated OER

Quadratic Functions - Max and Min

For Teachers 9th - 11th
Students identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...
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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
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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Assessment
Concord Consortium

Intersections I

For Students 8th - 12th Standards
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
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Lesson Plan
Curated OER

Reading Graphs

For Teachers 7th - 10th
Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.  
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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...