Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
EngageNY
Four Interesting Transformations of Functions (Part 3)
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Teach Engineering
Coordinates and the Cartesian Plane
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...
Kenan Fellows
Using Motion Sensors to Explore Graph Sketching
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
Curated OER
Leap Into Exponential Functions
Studens identify the properties of exponents. In this algebra lesson, students grapha nd solve equaitons of exponential functions. They add, subtract, multiply and divide using exponents.
Curated OER
What's My Function?
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
Curated OER
Exponential Growth and Exponential Functions
Students explore the concept of exponential functions. In this exponential functions lesson, students model exponential growth about a high school population using an applet. Students manipulate the applet to show the effect that a...
Curated OER
Linear Functions
Students solve and graph linear equations. In this algebra activity, students collect data and plot it to create a linear function. They identify the domain and range of each line.
Curated OER
Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
Curated OER
What's My Function?
Pupils use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
Curated OER
Exploring Trigonometric Functions
Learners are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical characteristics...
Curated OER
An Introduction to Functions
Students investigate the growth and decay of an exponential function. In this algebra activity, students apply properties of exponent solve problems. They identify any patterns they see in the graphs.
Curated OER
More Complicated Functions: Introduction to Linear Functions
Learners explore the concept of linear functions. In this linear functions instructional activity, students translate linear functions from tables to graphs to equations. Learners use an applet to write a function rule for a linear...
Curated OER
Introduction to Linear Functions
Students are introduced to the basic ideas needed for understanding linear functions.
Curated OER
Some Explorations With Even And Odd Functions
In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
Curated OER
Calculator Curiosities: Order of Operations, Domain, And Inverse Functions
In this math worksheet, students investigate the concepts of order of operations, domains, and inverse functions while using a calculator.
Curated OER
Connections Involving Linear And Quadratic Functions
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Curated OER
Functions and the Vertical Line Test
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
Curated OER
Function Machines
Sixth graders complete a function table and determine a rule for the use of one. They graph different functons from the tables. The analogy of a machine is used as an example for teaching students about functions.
Curated OER
Polynomial Functions
Students explore polynomial functions. For this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Students determine the regression equation...
Curated OER
Introduction to Inverse Functions
Learners 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
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Curated OER
VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. For this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.