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Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
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Lesson Plan
EngageNY

Rational Functions

For Teachers 11th - 12th Standards
Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...
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Activity
Curated OER

Algebra 2 Desmos Graphing Project

For Teachers 9th - 12th Standards
Encourage class members to get creative with functions. Pairs write their names and draw pictures using a graphing application with a collaborative graphic project. The resource provides the requirements for the project, as well as a...
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Performance
Radford University

Linear Equations in Real Word Problems

For Teachers 9th - 12th Standards
Make up a story about a linear graph. Scholars identify key features of a linear graph, such as intercepts, domain and range, and slope. They then create a word problem that could be represented by the graphed line.
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Lesson Plan
EngageNY

Solving Problems by Function Composition

For Teachers 11th - 12th Standards
Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...
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Worksheet
Curated OER

Exponential Graph Functions

For Students 9th - 12th
In this exponential functions worksheet, high schoolers solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for...
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Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
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Lesson Plan
Curated OER

Your Father

For Teachers 9th - 12th Standards
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
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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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Lesson Plan
Curated OER

Exercise Set 1.4: Operations on Functions

For Teachers 9th - 12th
In this composition functions worksheet, students solve 54 short answer problems.  Students find the composition of functions such as f of g and f + g.  Students find the domain of various functions.
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Worksheet
Curated OER

Graphing

For Students 9th
In this graphing worksheet, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each listed ordered...
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Worksheet
Curated OER

Equations as Relations

For Students 10th
In this equations as relations worksheet, 10th graders solve and graph 9 different problems that include determining various ordered pairs. First, they determine the ordered pairs that are solutions to each equation. Then, students solve...
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Worksheet
Curated OER

Graphing Functions

For Students 11th
In this graphing functions worksheet, 11th graders solve and complete 10 different types of problems. First, they graph each function and list the asymptote, domain and range for each. Then, students sketch each graph. They also draw and...
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Worksheet
Curated OER

Chapter 7. Functions and Graphs

For Students 9th - 11th
In this functions and graphs worksheet, students determine the domain and range of a given relation.  They graph functions on a coordinate plane and write equations in the slope-intercept form.  This twelve page worksheet contains 30...
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Worksheet
Curated OER

Relations and Functions

For Students 11th
For this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...
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Worksheet
Curated OER

Graphing Logarithms

For Students 9th - 11th
In this logarithms worksheet, students identify the domain and range of given logarithms. They sketch the graph on a coordinate plane. This four-page worksheet contains 12 multi-step problems. Answers are provided on the last two pages.
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Worksheet
Curated OER

Parabolic Equations

For Students 11th - 12th
In this parabolic activity, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page activity...
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Worksheet
Curated OER

The Energy of Empty Space

For Students 9th - 12th
In this energy in empty space worksheet, students use an equation for Cosmic Inflation to solve eight problems. They find the domain and range of the function of the equation, they determinethe axis of symmetry, they find the critical...
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Lesson Plan
Curated OER

Dog Days or Dog Years?

For Teachers 9th - 12th Standards
In need of some algebraic fun with real world implications?Learners use ordered pairs, a table of values and a scatter plot to evaluate the validity of several real world data sets. The class focuses on  dog ages in human years, domain,...
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Worksheet
Curated OER

Functions Quiz

For Students 11th - Higher Ed
In this college level algebra worksheet, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page worksheet contains four...
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Assessment
Mt. San Antonio Collage

Test 1: Graphing Functions

For Students 9th - 12th Standards
Graph the night away with all the different types of functions provided in the learning exercise. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
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Lesson Plan
EngageNY

Secant and the Co-Functions

For Students 10th - 12th Standards
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
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Activity
Point Pleasant Beach School District

Parabola Project

For Teachers 9th - 12th Standards
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
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Unit Plan
Mathematics Vision Project

Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...

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