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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 4

Proportional Relationships and Percentages

Lesson 13: Measurement Error

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Closed Captioned Video: Percents: Applications of Percent -- Grade Closed Captioned Video: Percents: Applications of Percent -- Grade Closed Captioned Video: Percents: Applications of Percent -- Grade

Video Tutorial: Applications of Percent -- Grade. In this video we investigate the concept of the grade of a road. This is an application of percents, where the slope of a road or a ski slope is written in percent form. We interpret this percent measurement as a slope measurement.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Calculating Commissions and Tips Closed Captioned Video: Percents: Calculating Commissions and Tips Closed Captioned Video: Percents: Calculating Commissions and Tips

Video Tutorial: Percents: Calculating Commissions and Tips. In this video we look at using percent formulas to calculate sales commissions and tips. Various real-world scenarios are investigated for calculating these percent-based amounts.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Calculating Tax Closed Captioned Video: Percents: Calculating Tax Closed Captioned Video: Percents: Calculating Tax

Video Tutorial: Percents: Calculating Tax. In this video we look at using tax rates to calculate tax owed. The tax rates are written as percents and converted to decimals to calculate the tax.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Calculating the Whole Given a Percent Closed Captioned Video: Percents: Calculating the Whole Given a Percent Closed Captioned Video: Percents: Calculating the Whole Given a Percent

Video Tutorial: Percents: Calculating the Whole Given a Percent. In this video learn how to calculate the whole, given a percent and a part of the whole. Students solve percent equations.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Estimating Percents Closed Captioned Video: Percents: Estimating Percents Closed Captioned Video: Percents: Estimating Percents

Video Tutorial: Estimating Percents. In this video learn how to estimate percents by converting them to fractions that simplify multiplication.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Fraction-Percent Conversion Closed Captioned Video: Percents: Fraction-Percent Conversion Closed Captioned Video: Percents: Fraction-Percent Conversion

Video Tutorial: Ratios: Fraction-Percent Conversion. In this video learn how to convert percents to fractions to simplify percent operations.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Multiple Percents Closed Captioned Video: Percents: Multiple Percents Closed Captioned Video: Percents: Multiple Percents

Video Tutorial: Percents: Multiple Percents. In this video, we investigate calculating the percent of a percent. Multiple calculations of a percent are investigated relative to a combined percent calculation.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Percent Decrease Closed Captioned Video: Percents: Percent Decrease Closed Captioned Video: Percents: Percent Decrease

Video Tutorial: Percents: Percent Decrease. In this video, we look at the concept of percent decrease. The formula for calculating percent decrease is shown and used in the context of solving real-world problems.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Percent Increase Closed Captioned Video: Percents: Percent Increase Closed Captioned Video: Percents: Percent Increase

Video Tutorial: Percents: Percent Increase. In this video, we look at the concept of percent increase. The formula for calculating percent increase is shown and used in the context of solving real-world problems.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Percent of a Difference Closed Captioned Video: Percents: Percent of a Difference Closed Captioned Video: Percents: Percent of a Difference

Video Tutorial: Percents: Percent of a Difference. In this video, students learn how to calculate the whole, given the percent and a part corresponding to another percent. The solution involves a percent difference.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Percent of a Number Closed Captioned Video: Percents: Percent of a Number Closed Captioned Video: Percents: Percent of a Number

Video Tutorial: Percents: Percent of a Number. In this video, learn how to find the percent of a number. The examples focus on converting a percent to a decimal.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Percents and Multiples of Numbers Closed Captioned Video: Percents: Percents and Multiples of Numbers Closed Captioned Video: Percents: Percents and Multiples of Numbers

Video Tutorial: Percents: Percents and Multiples of Numbers. In this video, we explore the difference between percent growth and the multiple of a number. Several real-world examples are used to explore these differences.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Probabilities and Percents Closed Captioned Video: Percents: Probabilities and Percents Closed Captioned Video: Percents: Probabilities and Percents

Video Tutorial: Percents: Probabilities and Percents. In this video, percent calculations are used to explore probabilities of events. From a percent-based probability predictions are made for given outcomes.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Simple Interest Closed Captioned Video: Percents: Simple Interest Closed Captioned Video: Percents: Simple Interest

Video Tutorial: Percents: Simple Interest. In this video, we look at simple interest in the context of using percent to make calculations. A formula for calculating simple interest is shown and used to solve several real-world problems.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: The Percent One Number is of Another Closed Captioned Video: Percents: The Percent One Number is of Another Closed Captioned Video: Percents: The Percent One Number is of Another

Video Tutorial: Percents: The Percent One Number is of Another. In this video, students learn how to calculate what percent one number is of another. This includes percents greater than 100%.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Percents: Visual Models for Percents Closed Captioned Video: Percents: Visual Models for Percents Closed Captioned Video: Percents: Visual Models for Percents

Video Tutorial: Percents: Visual Models for Percents. In this video, learn how to model percent operations using visual models.

This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. 

Percents
Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents

Video Tutorial: Ratios and Percents: Calculating Percents. In this video, students will see the relationship between ratios, proportions, and percents. A percent formula is derived and used to solve several real-world percent problems.

Ratios and Rates
Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. Let's look at an example.

Ratios and Rates and Applications of Ratios, Proportions, and Percents
Closed Captioned Video: Ratios: Visual Models for Ratios and Percents Closed Captioned Video: Ratios: Visual Models for Ratios and Percents Closed Captioned Video: Ratios: Visual Models for Ratios and Percents

What Are Ratios?

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

Ratios and Rates
Definition--Ratios, Proportions, and Percents Concepts--Percent Definition--Ratios, Proportions, and Percents Concepts--Percent Percent

Topic

Ratios, Proportions, and Percents

Definition

A percent is a ratio that compares a number to 100.

Description

Percentages are a fundamental concept in mathematics, representing a ratio out of 100. They are used in various applications, including finance, statistics, and everyday calculations such as discounts and interest rates.

For example, if you score 45 out of 50 on a test, your percentage score is 

(45/50) × 100 = 90%

Percents
Definition--Ratios, Proportions, and Percents Concepts--Percent Decrease Definition--Ratios, Proportions, and Percents Concepts--Percent Decrease Percent Decrease

Topic

Ratios, Proportions, and Percents

Definition

Percent decrease measures the reduction in value expressed as a percentage of the original value.

Description

Percent decrease is used to quantify the reduction in value over time, expressed as a percentage of the original value. It is commonly used in finance, economics, and everyday scenarios such as price reductions and weight loss.

For example, if the price of a jacket drops from $80 to $60, the percent decrease is calculated as 

(80 − 60)/80 × 100 = 25%.

Percents
Definition--Ratios, Proportions, and Percents Concepts--Percent Increase Definition--Ratios, Proportions, and Percents Concepts--Percent Increase Percent Increase

Topic

Ratios, Proportions, and Percents

Definition

Percent increase measures the growth in value expressed as a percentage of the original value.

Description

Percent increase is used to quantify the growth in value over time, expressed as a percentage of the original value. It is commonly used in finance, economics, and everyday scenarios such as salary increases and population growth.

For example, if the price of a stock rises from \$50 to \$75, the percent increase is calculated as 

(75 − 50)/50 × 100 = 50%

Percents
Definition--Ratios, Proportions, and Percents Concepts--Percent of a Number Definition--Ratios, Proportions, and Percents Concepts--Percent of a Number Percent of a Number

Topic

Ratios, Proportions, and Percents

Definition

Percent of a number involves calculating the amount represented by a certain percentage of that number.

Description

Understanding percentages is crucial for working with finances, statistics, and data analysis. For instance, to find 20% of 50, multiply 50 by 0.20, resulting in 10. Likewise, it's important for everyday scenarios, such as calculating discounts during shopping.

Percents
Definition--Ratios, Proportions, and Percents Concepts--Percent of an Unknown Definition--Ratios, Proportions, and Percents Concepts--Percent of an Unknown Percent of an Unknown

Topic

Ratios, Proportions, and Percents

Definition

Percent of an unknown refers to solving for an unknown quantity when given a percentage of that quantity.

Description

Knowing how to find a percentage of an unknown variable is essential for solving equations in algebra. This concept appears in various situations, such as when determining discounts or portions of a total amount.

For instance, if 20% of an unknown number equals 15, you can set up the equation: 

0.20x = 15

Percents
Definition--Ratios, Proportions, and Percents Concepts--Percents as Decimals Definition--Ratios, Proportions, and Percents Concepts--Percents as Decimals Percents as Decimals

Topic

Ratios, Proportions, and Percents

Definition

Percents as decimals involve converting a percentage into its decimal representation.

Description

Converting percents to decimals is a key skill in mathematics, allowing students to perform calculations involving percentages more easily. To convert, divide the percent by 100.

For example, 75% as a decimal is 0.75, calculated by dividing 75 by 100. This conversion is useful in many contexts, such as finance, where calculations are conducted using decimal values. Mastering this concept enables students to approach real-world problems with greater confidence and accuracy.

Percents
Definition--Ratios, Proportions, and Percents Concepts--The Percent One Number Is of Another Definition--Ratios, Proportions, and Percents Concepts--The Percent One Number Is of Another The Percent One Number Is of Another

Topic

Ratios, Proportions, and Percents

Definition

The percent one number is of another is a way to express one number as a percentage of another number.

Description

Understanding how to express one number as a percentage of another is crucial in various real-world applications, such as calculating discounts, tax, and interest rates. For example, if you want to find out what percentage 25 is of 200, you divide 25 by 200 and multiply by 100, resulting in 12.5%.

Percents
Definition--Ratios, Proportions, and Percents Concepts--Visual Models for Percents Definition--Ratios, Proportions, and Percents Concepts--Visual Models for Percents Visual Models for Percents

Topic

Ratios, Proportions, and Percents

Definition

Visual models for percents are diagrams or illustrations that represent percentages to help visualize and understand them.

Description

Visual models for percents are useful tools in various fields, such as education, finance, and statistics, to represent data and make it more comprehensible. For example, pie charts and bar graphs are common visual models that help illustrate percentages and proportions effectively.

Percents
Strategy Packs Instructional Resource--Strategy Pack--Percent of a Number Instructional Resource | Strategy Pack | Percent of a Number

Learn different strategies for finding the percent of a number. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

—PRESS PREVIEW TO LAUNCH THE PRESENTATION— To see the complete collection of Instructional Resources, click on this link.

Note: The download is a PPT file.

Percents
Strategy Pack Instructional Resource--Strategy Pack--The Number That Is a Given Percent of Another Number Instructional Resource | Strategy Pack | The Number Whose Percent Is Another Number

Learn different strategies for finding the number that is a given percentage of another number. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

—PRESS PREVIEW TO LAUNCH THE PRESENTATION— To see the complete collection of Instructional Resources, click on this link.

Note: The download is a PPT file.

Percents
Strategy Pack Instructional Resource--Strategy Pack--The Percent One Number Is of Another Instructional Resource | Strategy Pack | The Percent One Number Is of Another

Learn different strategies for finding the percent one number is of another. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

—PRESS PREVIEW TO LAUNCH THE PRESENTATION— To see the complete collection of Instructional Resources, click on this link.

Note: The download is a PPT file.

Percents
Strategy Pack Instructional Resource--Strategy Pack--Percent One Number Is of Another Instructional Resource | Strategy Pack | The Percent One Number Is of Another

Learn different strategies for finding the percent one number is of another. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

—PRESS PREVIEW TO LAUNCH THE PRESENTATION—To see the complete collection of Instructional Resources, click on this link.

Note: The download is a PPT file.

Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 1 Math Clip Art--Applications of Ratios and Proportional Reasoning 1 Math Clip Art--Applications of Ratios and Proportional Reasoning 1

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 10 Math Clip Art--Applications of Ratios and Proportional Reasoning 10 Math Clip Art--Applications of Ratios and Proportional Reasoning 10

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 11 Math Clip Art--Applications of Ratios and Proportional Reasoning 11 Math Clip Art--Applications of Ratios and Proportional Reasoning 11

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 12 Math Clip Art--Applications of Ratios and Proportional Reasoning 12 Math Clip Art--Applications of Ratios and Proportional Reasoning 12

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 13 Math Clip Art--Applications of Ratios and Proportional Reasoning 13 Math Clip Art--Applications of Ratios and Proportional Reasoning 13

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 2 Math Clip Art--Applications of Ratios and Proportional Reasoning 2 Math Clip Art--Applications of Ratios and Proportional Reasoning 2

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 3 Math Clip Art--Applications of Ratios and Proportional Reasoning 3 Math Clip Art--Applications of Ratios and Proportional Reasoning 3

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 4 Math Clip Art--Applications of Ratios and Proportional Reasoning 4 Math Clip Art--Applications of Ratios and Proportional Reasoning 4

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 5 Math Clip Art--Applications of Ratios and Proportional Reasoning 5 Math Clip Art--Applications of Ratios and Proportional Reasoning 5

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 6 Math Clip Art--Applications of Ratios and Proportional Reasoning 6 Math Clip Art--Applications of Ratios and Proportional Reasoning 6

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 7 Math Clip Art--Applications of Ratios and Proportional Reasoning 7 Math Clip Art--Applications of Ratios and Proportional Reasoning 7

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 8 Math Clip Art--Applications of Ratios and Proportional Reasoning 8 Math Clip Art--Applications of Ratios and Proportional Reasoning 8

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art--Applications of Ratios and Proportional Reasoning 9 Math Clip Art--Applications of Ratios and Proportional Reasoning 9 Math Clip Art--Applications of Ratios and Proportional Reasoning 9

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 1 Math Clip Art--Percent Visualizations 1

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 2 Math Clip Art--Percent Visualizations 2

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 3 Math Clip Art--Percent Visualizations 3

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 4 Math Clip Art--Percent Visualizations 4

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 5 Math Clip Art--Percent Visualizations 5

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 6 Math Clip Art--Percent Visualizations 6

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents