CK-12 Foundation
Inverse Functions: Definition of Inverse Functions
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
Curated OER
One to One Functions
In this algebra worksheet, students identify one to one functions by analyzing graphs of different equations. There are 6 different types of graphs to be analyzed.
Curated OER
Investigation - Patterns/Functions
Students explore one-to-one correspondence. Through activities, students examine rhythm and patterns. From the patterns discovered, students create a visual representation of the pattern with blocks.
Curated OER
Is There a Limit to Which Side You Can Take?
Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
Curated OER
Communicating:A Two-Way Need
Students engage an older adult in one-to-one contact. They develop communication skills that can be used in future interactions. They complete a handout and interview one older adult. They examine what society needs to do to help...
Curated OER
Exercise Set 1.5: Inverse Functions
In 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...
Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.
Curated OER
One-to-One Functions; Inverses
In this functions worksheet, students determine whether or a function is one-to-one. If it is one-to-one, then they find the inverse.
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
Curated OER
Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra instructional activity, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
Curated OER
Worksheet 13-Fall 1995
For 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
Fifty-Eight Inverse and On-To-One Questions
In this inverse function worksheet, pupils 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.
Code.org
One-way Functions – The WiFi Hotspot Problem
Pupils attempt to solve the Wireless Hotspot Problem and learn why it is considered a computationally hard problem in the ninth lesson of the series on 12. They also learn about one-way functions and how the Wireless Hotspot Problem is...
EngageNY
One-Step Equations—Multiplication and Division
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
Curated OER
Understanding 10: Backwards and Forwards
Help your young mathematicians completely master 10 by practicing one-to-one correspondence, number recognition, and recording numbers displayed. They make 10 with groups of two-different colored cubes and color in 10-frames to show how...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
US Department of Education
School-Home Links elling, self-to-text connections, writing lists, author
Engage families in at-home practice using this 100-page worksheet packet for elementary school English Language Arts practice. Each worksheet briefly explains the objective to parents so they can guide their child through the activity....
Inside Mathematics
Functions
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...
Oxford University Press
Language Focus and Vocabulary Unit 4.1: Past Continuous and Prepositions
Study verb tense, prepositions, and geographical features from around the word in one activity. After choosing between was and were in several sentences, as well as deciding whether they should use the past tense or past continuous...
Charleston School District
Equations of Linear Functions
Teaching linear function relationships using contextual information is beneficial to pupils' understanding. The lesson uses problem solving to build linear functions given different information for each problem. This is the second in a...
CK-12 Foundation
Continuity of a Function: Continuity
Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...
CK-12 Foundation
Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...