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Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 9th - 12th Standards
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
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Unit Plan
Mathematics Vision Project

Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
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Lesson Plan
Illustrative Mathematics

Accuracy of Carbon 14 Dating II

For Teachers 9th - 12th Standards
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
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Lesson Plan
Virginia Department of Education

Properties of Operations

For Students 8th Standards
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
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Lesson Plan
Curated OER

Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. For this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...
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Lesson Plan
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Curated OER

Direct, Inverse and Joint Variation

For Teachers 11th
Eleventh graders identify, create and solve word problems involving inverse variation. In this algebra lesson, 11th graders solve problems using direct, inverse and joint variation. They identify problems using these methods.
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Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 10th
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
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Activity
Illustrative Mathematics

Rainfall

For Teachers 8th - 12th Standards
Ideal for use as an introduction to the idea of inverse functions, this activity investigates rainfall as a function of time. Learners use the data displayed in a table of values to analyze the function and its inverse, including why the...
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Activity
Illustrative Mathematics

Invertible or Not?

For Teachers 8th - 12th Standards
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
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Activity
Illustrative Mathematics

Exponentials and Logarithms II

For Teachers 8th - 12th Standards
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
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Lesson Plan
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Curated OER

Be Direct - Oil Spills on Land

For Teachers 8th - 11th
Students participate in an activity to simulate direct variation. In this oil spills on land lesson, students participate in a simulation using toilet paper and vegetable oil to explore the characteristics of direct variation. They...
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Lesson Plan
Curated OER

Getting Out of Line

For Teachers 9th - 12th
Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns...
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Lesson Plan
Curated OER

Penny Moves

For Teachers 5th - 7th
Students explore math functions by completing a worksheet in class. In this spatial movement lesson, students utilize a four square grid and a penny to practice moving the coin horizontally, vertically and diagonally as instructed....
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Lesson Plan
Curated OER

Finding Fractional Parts Using an Area Model

For Teachers 4th - 6th
Students explore math functions by completing a problem solving worksheet in class. In this division lesson, students utilize visual aides such as marshmallows and candy to visualize the act of division. Students complete a division...
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Lesson Plan
Curated OER

Investigation - Who is Right?

For Teachers 3rd
Third graders explore mathematics by solving problems in groups. In this math functions instructional activity, 3rd graders demonstrate their understanding of addition and subtraction by completing two digit math problems. Students...
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Lesson Plan
Curated OER

Oodles of Poodles

For Teachers 10th - 11th
Students solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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Lesson Plan
02 x 02 Worksheets

Factoring

For Teachers 8th - 11th Standards
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
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Lesson Plan
Curated OER

Visualizing Integers

For Teachers 9th - 10th
Students create visuals on the TI Calculator to solve problems. In this algebra lesson, students perform basic operations with integers. They add, subtract, multiply and divide.