Illustrative Math Alignment: Grade 8 Unit 3

Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

An overview of the key topics to be covered in the video.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river’s length to its straight-line distance tell us? In this segment the geological forces that account for a river's motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

In this Investigation we explore linear inequalities in one variable. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Inequalities.

In this Math Lab we look at compound inequalities. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Inequalities.

In this Investigation we look at linear inequalities in two variables. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities.

In this Math Lab we look at graphical solutions to linear inequalities. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Inequalities.

In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

In this Math Lab, we explore the break-even point for a business. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

In this Math Lab we explore the graphical solution of a nonlinear system. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

In this Investigation we get a historical overview of equations. This video is Segment 1 of a 2 segment series related to Variables and Equations.

In this Math Lab a hands-on activity has students comparing the diameter of a circle and its circumference. This video is Segment 2 of a 2 segment series related to Variables and Equations.

Watch this video about variables and equations. (The transcript is included.)

Video Transcript

From the mathematics of old Babylon and Egypt, to the mathematics of ancient Greece,

China, India, the Islamic world, and all the way up to
the Renaissance and the present, equations have played
a central role in the development of algebra.

But algebraic equations haven't always been written in present day symbolic form.

In this Math Lab we look at an area model for expanding the product of two binomials. This video is Segment 4 of a 4-segment series related to Variables and Equations.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

In this Brief Review, we look at how to represent variables with algebra tiles.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

In this Brief Review, we explore simplifying variable expressions using algebra tiles.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to solve a linear system. This video supports the TI-Nspire Clickpad and Touchpad.

This is part of a collection of bingo cards that can be used to review addition skills. "B" has addition facts from 0 to 15. "I" has addition facts from 16 to 30. "N" has addition facts from 31 to 45. "G" has addition facts from 46 to 60. "O" has addition facts from 61 to 75.

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Worksheet Library

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

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Worksheet Library

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

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Worksheet Library

Given a visual model, students write the corresponding addition equation.

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Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

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Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of solving one-step equations.

Related Resources

Worksheet Library