Curated OER
Functions - Intro and Inverses
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...
Curated OER
Introduction to Graphical and Algebraic Inverses
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
Illustrative Mathematics
Graphs of Compositions
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
Curated OER
Introduction to Inverse Functions
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.
Curated OER
Pass or No Pass?
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...
Curated OER
Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Curated OER
Discovering Ohm's Law
Connect math with science! Pupils apply properties of Ohms Law as they solve problems and identify the inverse relationship of a function. They analyze the shape of the graph of an inverse function and use it to make predictions.
Curated OER
Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Curated OER
Inverse Trigonometric Functions (Review)
Learners discuss the importance of inverse functions and derivatives. In this calculus instructional activity, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
Curated OER
Inverse Linear Functions
Learners solve for the inverse functions. In this algebra lesson, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
Curated OER
Functional Analysis
Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Curated OER
Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
Curated OER
Functions and Inverses
High schoolers solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Curated OER
Composition of Functions
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
Curated OER
Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
Illustrative Mathematics
Invertible or Not?
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Curated OER
Graphing Review
Students review the principles of graphing linear functions. They discuss plotting points on a coordinate plane, solving using a table, and then graphing. Students solve problems and determine the slope of the line, y-intercept and if...
Houghton Mifflin Harcourt
Unit 4 Math Vocabulary Cards (Grade 6)
Reinforce math vocabulary with a set of flash cards. Forty-eight cards offer boldly printed words, and their corresponding definition alongside an example with labels. Terms include absolute value, inverse operations, slope, and more!
Curated OER
Dynagraphs
Students collect and graph their data. In this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.
Curated OER
Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
Curated OER
Getting Out of Line
Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns...
Curated OER
Skate Party
Learners use the Frayer model during problem solving. In this problem solving instructional activity, they examine multiple methods of data collection to solve real world problems. Resources are provided.