PPT
Curated OER

Calculus 2.1 day 2 - Step Functions

For Teachers 11th - 12th
"Step functions" are sometimes used to describe real-life situations. This extensive lesson with many practice examples demonstrates two such functions: the Greatest Integer Function and the Least Integer Function. The commands on the...
Lesson Plan
EngageNY

Piecewise Functions

For Students 9th - 10th Standards
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two...
Lesson Plan
West Contra Costa Unified School District

Graphing Piecewise Functions

For Teachers 8th - 10th Standards
Step up to learn about step functions. The lesson, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and...
Worksheet
Curated OER

Composition of Functions

For Students 10th
In this composition of functions worksheet, 10th graders solve 10 different problems that include determining the composition of various given functions. First, they use the two given functions to determine the composition in each...
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

Types of Functions

For Teachers 11th - Higher Ed
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
PPT
University of North Texas

Library of Functions

For Students 9th - 12th Standards
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class...
Worksheet
Curated OER

Special Functions

For Students 11th
In this special functions worksheet, 11th graders solve and complete 11 different problems that include various special functions. First, they find the value of each function given the variable. Then, students identify each function as...
Activity
5280 Math

Step by Step

For Teachers 9th - 12th Standards
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
Lesson Plan
Curated OER

Parent Functions Reference

For Teachers 11th - Higher Ed
In this functions worksheet, pupils explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.
Worksheet
Curated OER

Review of Trees

For Students 11th - 12th
In this math worksheet, students answer 50 multiple choice and true and false questions on trees, functions and algorithms. They interpret binary and mystery trees.
Lesson Plan
Curated OER

Regents Exam Questions: Domain and Range 1

For Teachers 9th - 10th
In this domain and range worksheet, students examine functions and identify the range of a function.  They find the maximum and minimum value of a function.  This two-page worksheet contains 7 multiple-choice problems. ...
Interactive
Curated OER

SAT Problem Solving Practice Test 02

For Students 11th - 12th
In this problem solving worksheet, students solve a variety of problems.  Problems include topics such as rate, time, similar figures, volume, and functions.  This one-page worksheet contains ten multiple-choice problems. ...
Lesson Plan
Curated OER

My Life in Numbers

For Teachers 5th - 8th
Have fun while your class creates a timeline of their lives. They record events before and after they were born on a line with 10 integer pairs consisting of one integer on each side of zero. Many extension activities can be done in...
Worksheet
Curated OER

Least Common Multiples

For Students 6th - 8th
In this math worksheet, students find the least common multiple of sets of numbers. Students factor each number to their prime factorization. They use the primes to find the least common multiples. This is a worksheet generator, the...
Activity
Texas Instruments

Texas Instruments: Stepping to the Greatest Integer: Greatest Integer Function

For Teachers 9th - 10th
In this activity, students' will use a motion detector to collect position data showing evenly-spaced jumps in value. They will then model this data using the greatest integer function.
Activity
Other

Math Spoken Here: Greatest Integer Function

For Students 9th - 10th
This site provides a short tutorial on greatest integer function.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Limits and Greatest Integer Function

For Students 9th - 10th
Definition of greatest integer function. Includes a visualization animation that requires LiveMath Notebook plugin.
Activity
National Council of Teachers of Mathematics

The Math Forum: Greatest Integer Function

For Students 9th - 10th
A short tutorial from the Math Forum on the greatest integer function. The site includes an on-line practice set.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Special Functions

For Students 9th - 10th Standards
Twenty-five problems present a variety of practice identifying and graphing various functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Domain, Range, Vertical Line Test

For Students 9th - 10th Standards
A detailed tutorial on functions covering the following topics: finding the domain and range of a function, using the vertical line test, determining whether a function is even, odd, or neither, and applying the greatest integer function...
Activity
Texas Instruments

Texas Instruments: How Much Is That Phone Call?

For Teachers 9th - 10th
Students will learn how step functions apply to real-world situations, about the notation associated with the greatest integer and least integer functions, and how to transform the greatest integer function.
Graphic
Cut the Knot

Cut the Knot: The Floor Function

For Students 9th - 10th
This site explains the floor function [x] notation (also known as the greatest integer function). The site contains several examples and graphs to help understand the concept. There is also an advanced exercise using the floor function...
Handout
Other

The Prime Pages: Floor Function

For Students 9th - 10th
This site from the University of Tennessee provides a short definition and example of the floor function, also known as the greatest integer function.