Illustrative Math Alignment: Grade 7 Unit 9

What Are Algebra Tiles?

Numerical Models

November 2014. In this issue of Math in the News we examine the historic landing of a spacecraft on an asteroid in space.

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September 2016. In this issue of Math in the News, we look at back-to-school purchases and the impact that different tax rates have on the total cost.

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December 2022. In this issue of Math in the News we look at box office hits and misses from Disney. The House of Blockbosters every now and then misfires. It's useful to analyze box office data to see what we can learn from the hits and misses. 

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February 2023. In this issue of Math in the News we look at NFL statistics for the number of concussions. The NFL now tracks concussion, and this is an opportunity to analyze this data and draw conclusions.

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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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Quiz Library

ary">click on this link.

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

Related Resources

Quiz Library

ary">click on this link.

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

Related Resources

Quiz Library

ary">click on this link.

This 45-minute SAT Math lesson helps students master the art of translating real-world scenarios into solvable math problems. Focused on the Problem Solving and Data Analysis domain—which accounts for approximately 29% of SAT Math questions—this lesson provides strategies for tackling multi-step word problems involving algebra, geometry, statistics, ratios, and percent reasoning. Students will learn how to analyze word problems, identify key quantities and relationships, and solve problems using equations, proportions, and logical reasoning. The lesson includes a Warm-Up, five instructional examples (including real-world applications), a Review section with three additional word problems, and a 10-question SAT-style quiz with a complete answer key. This lesson is part of a 35-lesson SAT Math prep series designed to build confidence with problem-solving in real-world contexts.

This 45-minute SAT Math prep lesson focuses on ratios, proportions, and percents—key concepts that appear throughout the Problem Solving and Data Analysis domain of the SAT. These topics account for approximately 29% of the SAT Math section and often appear in real-world scenarios involving recipes, maps, discounts, and data comparisons. In this lesson, students will learn to simplify ratios, solve proportions using cross multiplication, calculate percent increase and decrease, and solve percent-based equations involving unknowns. The lesson includes a warm-up activity, seven instructional examples with guided steps, five review problems with worked-out solutions, and a 10-question SAT-style quiz with a complete answer key. This lesson is part of a comprehensive 35-lesson series designed to help students build confidence and mastery in SAT Math topics.

This 45-minute SAT Math lesson focuses on mastering percents, percent increase and decrease, percent error, and reverse percent problems. Students will learn to convert between fractions, decimals, and percents, and apply key percent formulas to real-world and test-style problems. The lesson includes a warm-up activity, five instructional examples, a five-problem review section, and a 10-question SAT-style quiz with detailed solutions. Students also learn how to recognize percent-related language on the SAT and determine the correct solving strategy. These concepts are part of the Problem Solving and Data Analysis domain, which accounts for approximately 29% of SAT Math questions. This lesson is part of a 35-lesson series that prepares students for every major concept tested on the SAT.

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.

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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.