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Curated OER

Latitude

For Teachers 9th - 12th Standards
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
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Lesson Plan
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Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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Worksheet
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Quiz: Logarithmic Functions

For Students 10th - 12th
Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...
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Lesson Plan
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Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
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Handout
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Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Lesson Plan
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Fifty-Eight Inverse and On-To-One Questions

For Teachers 8th - 11th
In this inverse function worksheet, students sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.
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Worksheet
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Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
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Worksheet
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Math Honors 2: Semester 1 Review

For Students 10th - 12th
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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Worksheet
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Composite Functions and Inverse Functions

For Students 8th - 12th
In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises.  The concepts covers include: composite functions, inverse functions, graphs of...
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Lesson Plan
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Pass or No Pass?

For Teachers 11th - 12th
Students explore the concept of the inverse function. They learn that the inverse of a function is a reflections over the line y=x. Students learn how to determine if a function has an inverse. They discuss how changing the domain of a...
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Lesson Plan
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Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
For this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
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Worksheet
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Pre-Calculus Sudoku Puzzle

For Students 11th
In this pre-calculus worksheet, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This worksheet would be a great warm up or fun test review.
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Lesson Plan
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Algebra Nomograph

For Teachers 9th - 12th Standards
Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Students make a scatter plot of...
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Lesson Plan
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Exponential Reflections

For Teachers 9th - 12th Standards
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points.  Learners examine the results to determine that the inverse is the natural log...
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Worksheet
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Inverse Functions

For Students 12th - Higher Ed
In this inverse functions worksheet, students solve and complete 3 sets of different problems. First, they find the expression and simplify. Then, students find the value of a given variable when it is the inverse in the function. They...
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Worksheet
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Inverse Functions and Relations

For Students 11th
In this inverse functions and relations worksheet, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the inverse of...
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Worksheet
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Revise Understanding Subtraction

For Students 2nd - 3rd
For this subtraction worksheet, students find the difference and check by adding. In this problem solving worksheet, students solve and check seven problems.
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Worksheet
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Inverse Functions

For Students 9th
In this inverse functions worksheet, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then, students use...
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Worksheet
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The Algebra and Geometry of Inverse Functions

For Students Higher Ed
In this inverse functions learning exercise, students read a tutorial and complete fourteen fill in the blank style practice problems. Students read a tutorial about the composition of functions. They answer three fill in the blank...
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Interactive
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Review of Calculus BC I

For Students 10th - 12th
For this review worksheet, students match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given equations.  This two-page...
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Lesson Plan
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Introduction to Inverse Functions

For Teachers 10th - 12th
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
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Lesson Plan
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Four Steps to Find Inverse Functions

For Teachers 8th - 11th
In this inverse functions reference worksheet, students are presented with the four sets used to find an inverse function given a function equations.
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Worksheet
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Inverse Trigonometric Values

For Students 11th - 12th
In this trigonometry worksheet, students solve functions using the properties of inverse trig. They write out the 6 trigonometric functions in standard position and solve for missing angles. There are 15 questions.
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Worksheet
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Draw the Inverse for Ten Graphed Functions

For Students 11th - Higher Ed
In this inverse function worksheet, students draw the inverse function for ten given graphs.  Inverses may not exist for all functions.