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Elementary Algebra
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Elementary Algebra is a work text that covers the traditional topics studied ...

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

Subject:
Algebra
Material Type:
Full Course
Textbooks
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Denny Burzynski
Wade Ellis
Equal Differences Over Equal Intervals 1
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An important property of linear functions is that they grow by equal ...

An important property of linear functions is that they grow by equal differences over equal intervals. In this task students prove this for equal intervals of length one unit, and note that in this case the equal differences have the same value as the slope. In F.LE Equal Differences over Equal Intervals 2, students prove the property in general (for equal intervals of any length).

Subject:
Mathematics
Functions
Material Type:
Activities and Labs
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Equal Differences Over Equal Intervals 2
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An important property of linear functions is that they grow by equal ...

An important property of linear functions is that they grow by equal differences over equal intervals. In this task students prove this for equal intervals of length one unit, and note that in this case the equal differences have the same value as the slope.

Subject:
Mathematics
Functions
Material Type:
Activities and Labs
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Equal Factors Over Equal Intervals
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In this task students prove that linear functions grow by equal differences ...

In this task students prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Subject:
Mathematics
Functions
Material Type:
Activities and Labs
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Exploring Linear Equations
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This multimedia mathematics resource shows how math is used at the Calgary ...

This multimedia mathematics resource shows how math is used at the Calgary Zoo to calculate how much it costs to feed the animals. An interactive activity allows students to change variables in linear equations to create unique ways of obtaining the same solution. A print activity is provided.

Subject:
Mathematics
Algebra
Material Type:
Instructional Material
Interactive
Provider:
NSDL Staff
Provider Set:
Key Concepts in Algebra
Exponential Growth Versus Linear Growth Ii
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In this task students observe using graphs and tables that a quantity ...

In this task students observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

Subject:
Mathematics
Functions
Material Type:
Activities and Labs
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Finding Parabolas Through Two Points
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In this task students have the opportunity to construct linear and exponential ...

In this task students have the opportunity to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Subject:
Mathematics
Functions
Material Type:
Activities and Labs
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Gone Fishing: My, My Little Fish, How You've Grown!
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Opening with a cartoon showing the weights of three combinations of fish, ...

Opening with a cartoon showing the weights of three combinations of fish, this activity challenges students to determine the weight of each fish. This activity is part of the Figure This! collection of challenges emphasizing real-world uses of mathematics. The introduction discusses algebraic reasoning and notes its importance to scientists, engineers, and psychologists. Students are encouraged to begin by adding the weights on all three scales. The answer page describes three strategies for solving the problem. Related questions invite students to use the strategies to solve similar problems. Answers to all questions and links to resources are included.

Subject:
Education
Mathematics
Algebra
Material Type:
Activities and Labs
Homework and Assignments
Images and Illustrations
Instructional Material
Lesson Plans
Provider:
National Council of Teachers of Mathematics
Ohio State University College of Education and Human Ecology
Provider Set:
Figure This!
Middle School Portal: Math and Science Pathways (MSP2)
Author:
National Council of Teachers of Mathematics (NCTM)
Homerun Hoopla
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This lesson is designed for students to gather and analyze data about ...

This lesson is designed for students to gather and analyze data about baseball figures. The student will use the Internet or other resources to collect statistical data on the top five home run hitters for the current season as well as their career home run totals. The students will graph the data and determine if it is linear or non-linear.

Material Type:
Lesson Plans
Provider:
University of North Carolina at Chapel Hill School of Education
Provider Set:
LEARN NC Lesson Plans
Author:
Anne Walters
Ideal Circuit Elements
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This module provides examples of the elementary circuit elements; the resistor, the ...

This module provides examples of the elementary circuit elements; the resistor, the capacitor, and the inductor, which provide linear relationships between voltage and current.

Material Type:
Readings
Syllabi
Provider:
Rice University
Provider Set:
Connexions
Author:
Don Johnson
Identifying Functions
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This task emphasizes the expectation that students know linear functions grow by ...

This task emphasizes the expectation that students know linear functions grow by constant differences over equal intervals and exponential functions grow by constant factors over equal intervals.

Subject:
Mathematics
Functions
Material Type:
Activities and Labs
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
In the Billions and Exponential Modeling
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This problem provides an opportunity to experiment with modeling real data. Populations ...

This problem provides an opportunity to experiment with modeling real data. Populations are often modeled with exponential functions and in this particular case we see that, over the last 200 years, the rate of population growth accelerated rapidly, reaching a peak a little after the middle of the 20th century and now it is slowing down.

Subject:
Mathematics
Functions
Material Type:
Activities and Labs
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics