Worksheet
Curated OER

Reviewing Functions

For Students Higher Ed
In this function activity, students describe a function and write six different ways a function may be modeled. This two-page activity contains eight problems.
Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 8th - 12th
Students explore the concept of functions. In this function instructional activity, 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...
Lesson Plan
Curated OER

Polynomial Functions

For Teachers 11th - 12th
Students explore polynomial functions.  In 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...
Lesson Plan
Curated OER

Function Machines

For Teachers 6th
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.
Lesson Plan
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Introduction to Inverse Functions

For Teachers 10th - 12th
Students investigate patterns of inverse functions. In this algebra instructional activity, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
Lesson Plan
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Comparing Exponential and Power Functions

For Teachers 9th - 12th Standards
Students compare and contrast exponential and power functions. In this precalculus lesson, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.
Lesson Plan
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What's My Rule? Simple Linear Functions

For Teachers 6th - 8th
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Worksheet
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Integrating Functions

For Students 6th - 8th
In this math worksheet, learners find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
In this function of two variables learning exercise, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
Lesson Plan
Curated OER

VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.

For Teachers 7th - 8th
Young scholars discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit...
Lesson Plan
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Rational Functions

For Teachers 9th - 11th
Students evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.
Lesson Plan
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The Function Machine

For Teachers 4th
Fourth graders solve division problems by practicing on function machine.
Lesson Plan
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The Function Box

For Teachers 3rd - 12th
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
Worksheet
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
For this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
Lesson Plan
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Properties of Logarithmic Functions

For Teachers 8th - 10th
Young scholars solve exponential functions. For this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Lesson Plan
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Exploring Multiplication Functions

For Teachers 4th
Fourth graders investigate the terms "factor" and "product." In this mathematics lesson, 4th graders practice solving problems to find the products and factors present in different algebraic expressions.
Worksheet
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Unit 4: Worksheet 4: Functions and Graphs

For Students 9th - 10th
In this function and graph activity, students read and interpret maps and graphs. They write an equation, define variables and solve the equation. Students solve diamond problems and use the distributive property to solve equations. ...
Worksheet
Curated OER

Domain of a Function

For Students Higher Ed
In this precalculus worksheet, students examine and determine the domain of the three functions provided and apply them to the three problems.
Lesson Plan
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Piecewise Modeling with Multiple Functions: Federal Debt

For Teachers 9th - 12th
Students analyze data on debt and write an equation. In this statistics activity, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts of...
Lesson Plan
Curated OER

Building Understanding of Rate of Change/Slopes Using Alice

For Teachers 8th - 10th
Students explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
Lesson Plan
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Identify and Graph Linear Equations

For Teachers 8th - 9th
Students investigate linear functions. In this mathematics lesson, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.
Lesson Plan
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Introduction to Limits

For Teachers 9th - 12th
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Lesson Plan
Institute of Electrical and Electronics Engineers

Coloring Discrete Structures

For Teachers 6th - 9th
What's the least number of colors needed to color a U.S. map? The instructional activity begins by having pupils view a video clip on continuous and discrete phenomenon, then launches into an activity reminiscent of Zeno's paradox....