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
Chapter 10-Relations and Functions, Practice Test
In this intermediate algebra worksheet, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
Curated OER
Worksheet 1 - Polynomials, Functions, Rates
In this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials, distance,...
Curated OER
Algebra I - Test
Learners participate in a lesson that reviews the concept of linear functions in connection with preparation for an exam. The teacher reviews problems with the students for scaffolding. Learners practice graphing linear functions.
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
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...
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
Concord Consortium
Going Up
Going on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a...
Curated OER
Lesson #45 Graphs of Logarithmic and Exponential Functions
Students investigate exponential and logarithmic functions. In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x. Students graph the functions and show they are inverses of...
Curated OER
Worksheet 6.7 MT-A141 PreCalculus
In this PreCalculus learning exercise, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
Curated OER
Chapter 3 - Worksheet 3D
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
Curated OER
Graphs of Logarithmic and Exponential Functions
Students watch as the teacher demonstrates that y=ln(x) and y=e^x are inverse functions. They graph these equations on the same axes. Students work other log functions. They learn a Reggae Song about the log of the quotient. Students...
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...
Curated OER
Inverse Relations and Functions
In this algebra worksheets, learners find the inverse of a given function by switching the y with the x. They graph the different functions and identify the difference. This worksheet includes thoughtful questions and worked examples.
Curated OER
Inverse Trig Functions: Chain Rule
In this trigonometric functions worksheet, learners differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
Curated OER
Inverse Variation
In this algebra activity, students find the inverse of an equations. They graph their solutions and analyze it. There are 8 questions.
Curated OER
Logarithmic Functions and Their Graphs
In this algebra instructional activity, learners evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.
Curated OER
Inverse Relations
In this Algebra II worksheet, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page worksheet contains thirty-two problems....
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!
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Virginia Department of Education
Inequalities
Not all resources are created equal — and your class benefits! Scholars learn how to solve one-step inequalities using inverse operations. They complete an activity matching inequalities to their solutions.
Curated OER
Polynomial Function Exam 4
In this polynomial worksheet, learners solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...
Curated OER
Worksheet 13-Fall 1995
In this math worksheet, students find the domain and range of trigonometric functions. They estimate the limit of a given function. Students identify three statements about one to one functions as true or false. They solve for k in two...
Curated OER
Math Handbook: Trigonometry
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...