Illustrative Math Alignment: Grade 7 Unit 9

8/22/11. In this issue we look at the way in which the U.S. government borrows money. This involves an exploration of Treasury bonds and notes.

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4/18/11. In this issue we look at income taxes. We analyze who pays what proportion of income taxes based on income level.

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November 2013. In this issue of Math in the News we look at the arrival of Comet ISON, scheduled for arrival in late November 2013. We model the trajectory of the comet using a parabolic model.

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March 2014. In this issue of Math in the News we look at the impact of a harsh winter on Florida's orange crop. In addition we look at an ongoing problem that orange production has had with a crop infestation. This provides opportunities to apply percent change formulas to real-world data.

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July 2015. This edition of Math in the News focuses on the severe drought currently taking place in California, and how it has impacted the water resources available to the state. In this edition, students will see how to use percentages given to determine actual amounts, and to determine percents out of a whole.

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July 2015. This Math in the News explores the construction of the iconic landmark the Washington Monument and its recent renovations due to the 2011 earthquake. Students will be able to convert dollar values based on inflation and determine the combined expense of the Washington Monument between construction and recent renovations.

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May 2014. In this issue of Math in the News we explore Bitcoin. We look at how it's used for making purchases and how it differs from other currencies. This provides an opportunity to apply the concept of currency exchange.

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This is part of a collection of math quizzes on the topic of algebra tiles.

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ary">click on this link.

This is part of a collection of math quizzes on the topic of algebra tiles.

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Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of algebra tiles.

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Quiz Library

ary">click on this link.

In this tutorial, students are shown the process of solving equations. In particular, they look at the properties of equality that allow for the manipulation of equations in order to arrive at a solution.

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What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Addition Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Addition Equations 2."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Division Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Multiplication Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Subtraction Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Subtraction Equations 2."

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This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Variable Expressions with Integers.

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This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Addition.

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This is the transcript that goes with the video segment entitled Video: One-Step Equations: Division.

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This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Multiplication.

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This is the transcript that goes with the video segment entitled Video: One-Step Equations: Subtraction.

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This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers.

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What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Division and Addition.

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This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Division and Subtraction.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Multiplication and Addition.

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This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Multiplication and Subtraction.

To see the complete collection of video transcriptsy, click on this link.

Topic

Expressions and Equations

Description

The video introduces algebra tiles as tactile and visual models used to represent integers, variables, variable expressions, and equations. It describes six types of tiles, including yellow tiles for positive integers, green tiles for variables and their squares, and red tiles for their negative counterparts. Key vocabulary includes positive integers, variables, x-squared, and negative quantities. The video explains how to use combinations of tiles to model algebraic numbers and expressions.

Topic

Expressions and Equations

Description

This video covers multi-step equations with multiple operations and variables on both sides. Examples include equations like 2x - 2 = x + 4 and 2x + 4 = x - 5. It demonstrates simplifying equations and isolating variables. Key vocabulary includes multi-step equations, operations, simplification, and variables.

Topic

Expressions and Equations

Description

This video covers multi-step equations with multiple operations and variables on both sides. Examples include equations like 2x - 2 = x + 4 and 2x + 4 = x - 5. It demonstrates simplifying equations and isolating variables. Key vocabulary includes multi-step equations, operations, simplification, and variables.

Topic

Expressions and Equations

Description

This video explains how to model quadratic equations, such as x2 + 2x + 1 = 0, using algebra tiles. It demonstrates how x-squared tiles, x tiles, and integer tiles represent the equation visually. Key vocabulary includes quadratic equations, x-squared, and zero pairs.

Topic

Expressions and Equations

Description

The video covers the addition of integers using algebra tiles, including examples like 4 + 5 and 4 + (-5). It highlights concepts like zero pairs for simplifying expressions and arranging tiles to model sums. Key vocabulary includes addition, zero pairs, and integers.

Topic

Expressions and Equations

Description

This video demonstrates subtracting integers with algebra tiles, using methods like the take-away model and rewriting subtraction as addition. Examples include 6 - 3 and 3 - 6. Key vocabulary includes subtraction, zero pairs, and take-away model.

Topic

Expressions and Equations

Description

The video explains integer division using algebra tiles with examples like 6 ÷ 3 and -6 ÷ 3. It also covers scenarios with remainders, such as 7 ÷ 3. Key vocabulary includes division, remainders, and integers.

Relevance: This video ties into the topic of Expressions and Equations by providing students with a hands-on approach to understanding the concepts of algebra. Algebra tiles serve as a visual and tactile way to model mathematical operations, helping students internalize these ideas effectively.

Topic

Expressions and Equations

Description

This video focuses on modeling integer multiplication with algebra tiles. Examples include 6 • 3, -6 • 3, and -6 • -3. Rectangular arrays of tiles are used to visualize products. Key vocabulary includes multiplication, rectangular arrays, and integers.

Topic

Expressions and Equations

Description

The video explains how to simplify variable expressions like (x + 3) + (x + 1) using algebra tiles. It demonstrates combining like terms and using zero pairs for simplification. Key vocabulary includes simplifying, variable expressions, and zero pairs.

Topic

Expressions and Equations

Description

This video explains solving one-step equations like x + 2 = 4 and x ÷ 2 = 4 with algebra tiles. It covers addition, subtraction, multiplication, and division operations. Key vocabulary includes one-step equations, zero pairs, and operations.