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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 4

Proportional Relationships and Percentages

Lesson 14: Percent 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
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
Math Clip Art Math Clip Art--Percent Visualizations 7 Math Clip Art--Percent Visualizations 7

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 8 Math Clip Art--Percent Visualizations 8

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 9 Math Clip Art--Percent Visualizations 9

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

Ratios and Rates and Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 1 Math Clip Art--Ratios, Proportions, Percents--Percents 01 Math Clip Art--Ratios, Proportions, Percents--Percents 01

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of an introductory image that visually connects percents with proportions, showcasing a grid and a formula (a / b = c / d) next to a hurdler and a large percent sign. The golden ratio a / b = 1.618 is also present, symbolizing relationships, and expands on this idea by showing that serves as a thematic and conceptual introduction to percents by emphasizing proportional relationships and the idea of ratios.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 2 Math Clip Art--Ratios, Proportions, Percents--Percents 02 Math Clip Art--Ratios, Proportions, Percents--Percents 02

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of fractions with different denominators: 1/4, 2/5, 5/6, and 5/8, each depicted as shaded portions of circles. and expands on this idea by showing that highlights the challenge of comparing fractions with different denominators, setting up the need for a common framework such as percents.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 3 Math Clip Art--Ratios, Proportions, Percents--Percents 03 Math Clip Art--Ratios, Proportions, Percents--Percents 03

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of and expands on the previous image by comparing and ordering the fractions using inequality symbols: 1/4 < 2/5 < 5/8 < 5/6. This image expands on this idea by emphasizing the difficulty of comparing fractions and transitions to the rationale for using percents as a standard for comparison.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 4 Math Clip Art--Ratios, Proportions, Percents--Percents 04 Math Clip Art--Ratios, Proportions, Percents--Percents 04

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of converting the fractions 1/4, 2/5, 5/6, and 5/8 into percents (25%, 40%, 83.33%, 62.5%) with their corresponding pie diagrams. It expands on this idea by showing that introduces percents as an easier method for comparing fractions by representing them with a common denominator of 100.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 5 Math Clip Art--Ratios, Proportions, Percents--Percents 05 Math Clip Art--Ratios, Proportions, Percents--Percents 05

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of how fractions such as 3/4 and 3/5 convert to percents (75% and 60%) using shaded 10 x 10 grids. It expands on this idea by showing the concept of percents using a visual and tangible representation, reinforcing the idea of 100 as the base for comparison.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 6 Math Clip Art--Ratios, Proportions, Percents--Percents 06 Math Clip Art--Ratios, Proportions, Percents--Percents 06

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of connecting coins (1¢, 5¢, 10¢, 25¢) to their percent values of a dollar (1%, 5%, 10%, 25%). It expands on this idea by establishing a real-world application of percents, showing their utility in everyday contexts like money.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 7 Math Clip Art--Ratios, Proportions, Percents--Percents 07 Math Clip Art--Ratios, Proportions, Percents--Percents 07

Topic

Ratios, Proportions, and Percents

Description

The image illustrates percentages as fractions with a denominator of 100, such as 10% = 10 / 100, 15% = 15 / 100, and so on. It expands on this idea by showing how percents relate to fractions, reinforcing their equivalency and further grounding the concept.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 8 Math Clip Art--Ratios, Proportions, Percents--Percents 08 Math Clip Art--Ratios, Proportions, Percents--Percents 08

Topic

Ratios, Proportions, and Percents

Description

The image illustrates how to convert 1/4 to a percent using the proportion method: (1 / 4 = x / 100), solving for x = 25%. and expands on this idea by showing that provides a step-by-step method to convert fractions to percents, introducing proportional reasoning.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 9 Math Clip Art--Ratios, Proportions, Percents--Percents 09 Math Clip Art--Ratios, Proportions, Percents--Percents 09

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of converting a fraction to a percent using proportions, with 2/5 converting to 40%. and expands on this idea by showing that reinforces the proportion method with another example, building understanding through repetition.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents