Worksheet
Curated OER

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...
Lesson Plan
Curated OER

Functions and Graphs, Section 1.2

For Teachers 9th - 10th
In this function worksheet, students determine if a list of given relations is a function. They evaluate functions, examine graphs of functions, and find the domain and range of the represented function. Students solve 12 function...
Worksheet
Curated OER

Functions and Relations

For Students 11th
In this functions and relations worksheet, 11th graders solve and complete 15 various types of problems. First, they find the slope and y-intercept for each function given. Then, students find the slope of the line passing through the...
PPT
Curated OER

Domain and Range

For Teachers 9th - 10th
Relations, and functions, and line tests, oh my! An instructional slideshow demonstrates the definitions of a relation, a function, and the domain and range of a relation. Viewers then learn how to use mappings and vertical...
Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Lesson Plan
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1
Teach Engineering

Coordinates and the Cartesian Plane

For Teachers 7th - 9th Standards
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson in a series of nine. They...
Handout
Charleston School District

Intro to Functions

For Students 8th Standards
How are functions related to chicken nuggets? A video teaches the concept of a function using the idea of a nugget-making machine as an analogy for a function machine. Learners determine if a relation is a function from an equation...
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Assessment
Inside Mathematics

Functions

For Teachers 9th - 12th Standards
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Lesson Plan
Alabama Learning Exchange

Building Functions: Reverse to Inverse

For Teachers 10th - 12th Standards
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
Interactive
CK-12 Foundation

Existence: One-to-One Functions and Inverses

For Students 11th - Higher Ed Standards
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....
Lesson Plan
Curated OER

Types of Functions and Composition of Functions

For Teachers 10th - 12th
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the lesson by including...
Lesson Plan
Curated OER

Do Two Points Always Determine a Linear Function II?

For Teachers 9th - 12th Standards
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
Worksheet
Curated OER

Sets, Relations, and Functions

For Students 9th - 11th
Sets, relations, functions, and graphing linear equations are practiced in this challenging worksheet. The class determines if a relation is a function or not and find the functional value of a domain element. The one page worksheet...
Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...
Lesson Plan
Virginia Department of Education

Composition of Functions

For Students 10th - 12th Standards
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Unit Plan
Mathematics Vision Project

Connecting Algebra and Geometry

For Teachers 9th - 10th Standards
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...
AP Test Prep8:02
1
1
Flipped Math

Calculus AB/BC - Connecting Differentiability and Continuity

For Students 10th - 12th
Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...
Interactive
Royal Society of Chemistry

Amines and Related Compounds

For Students 6th - 12th Standards
Scientists call a molecule that contains a nitrogen atom that behaves as a base an amine. Four puzzles, related to amines and similar compounds, challenge scholars to prove their knowledge. After passing each puzzle, the next increases...
Lesson Plan
National Research Center for Career and Technical Education

Business Management and Administration: Compound Interest - A Millionaire's Best Friend

For Teachers 6th - 12th Standards
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
Lesson Plan
Curated OER

Functions

For Teachers 9th - 10th
In this algebra worksheet, students look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...
Lesson Plan
1
1
West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
Lesson Plan
Alabama Learning Exchange

Building Functions: Inverse Functions from Tables and Graphs

For Students 9th - 12th Standards
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.

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