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Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
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Lesson Plan
Curated OER

Graphing Quadratic Equations

For Teachers 8th - 12th
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
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Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
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Activity
Illustrative Mathematics

Interpreting the graph

For Teachers 8th - 12th Standards
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
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Activity
Illustrative Mathematics

Zeroes and factorization of a non polynomial function

For Teachers 10th - 12th Standards
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
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Lesson Plan
Curated OER

Vertical and Horizontal Translations

For Teachers 11th - 12th
Students analyze function graphs.  In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
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Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
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Worksheet
Curated OER

Rounding Decimal Numbers: Graphing Calculator Activity

For Students 5th - 6th
In this math worksheet, students use graphing calculators to complete a total of three problems with rounding decimal numbers. Diagrams are included in student instructions.
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Lesson Plan
Curated OER

Who Shares My Function?

For Teachers 10th - 11th
Young scholars differentiate between linear and quadratic functions. In this algebra lesson plan, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate plane.    
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Lesson Plan
Curated OER

Who Shares My Function? Linear with All Representations

For Teachers 10th - 11th
Students investigate and interpret functions and graphs. In this algebra lesson, students analyze equations, graphs and word problems to differentiate between quadratic functions and linear equations. They create a poster with their...
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Lesson Plan
Curated OER

Slope, Intercepts, and Graphing a Line

For Teachers 8th - 11th
In this intercepts and slope worksheet, young scholars find the slope and/or the x and y-intercepts in fifty-three problems.  Students also graph lines using the x and y-intercepts.
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Lesson Plan
Shodor Education Foundation

Graphing and the Coordinate Plane

For Teachers 5th - 8th Standards
Ready to introduce your class to the coordinate plane? This website includes a detailed lesson plan that includes two interactive games to help learners practice graphing ordered pairs. The scripted discussion is a little cheesy and a...
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Lesson Plan
Curated OER

Wind-Up Car

For Teachers 7th - 8th
Pupils produce an equation from a graph, based on an engineering-context story provided. For this production of equations lesson, students write an equation given the graph and description. Pupils also describe what the y-intercept and...
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Activity
Illustrative Mathematics

Identifying Even and Odd Functions

For Teachers 8th - 12th Standards
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
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Worksheet
Curated OER

Square-Root Functions and Radical Equations

For Students 8th - 9th
This practice worksheet includes simple radical equations, and some quadratic equations that can be solved by the square root method. There is good practice here in checking the solutions, and a few graphing problems. 
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Worksheet
Curated OER

Trigonometry Worksheet: Graph Trigonometric Functions (3)

For Students 11th - 12th
In this graphing trigonometric functions worksheet, students graph one function: y=-3cos(2x-pi/4). There is ample space on the page for the student to work out this one problem.
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Lesson Plan
Curated OER

Lesson #15 Continuity

For Teachers 11th - 12th
Students explore the definition of continuity, graph problems, and discover how this relates to problems. They identify a function, the point of continuity or the point of discontinuity, Students examine graphs to determine if they are...
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Lesson Plan
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Mathematics Assessment Project

Representing Polynomials

For Teachers 8th - 12th Standards
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
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Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 3)

For Students 9th - 10th Standards
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
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AP Test Prep9:56
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Flipped Math

Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema

For Students 10th - 12th
Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...
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Lesson Plan
Curated OER

Domain and Range: Equation

For Teachers 9th - 12th
In this algebra worksheet, students state the domain and range of various functions and equations. There are five questions and some are multiple choice questions.
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Lesson Plan
West Contra Costa Unified School District

Introduction to Trigonometric Functions

For Teachers 9th - 12th
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
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Interactive
CK-12 Foundation

Graphs of Quadratic Functions in Intercept Form: Architectural Bridge Challenge

For Students 9th - 12th Standards
There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
In this limits and functions worksheet, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.

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