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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 4

Proportional Relationships and Percentages

Lesson 11: Percentage Contexts

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--Calculating Tax Definition--Ratios, Proportions, and Percents Concepts--Calculating Tax Calculating Tax

Topic

Ratios, Proportions, and Percents

Definition

Calculating tax involves determining the percentage amount to be added to the base price of a product or service.

Description

Calculating tax is a fundamental application of percentages in real-world scenarios. When purchasing goods or services, the total cost is often the sum of the base price and the tax applied. Understanding how to calculate tax is essential for budgeting and financial literacy.

For example, if a product costs $50 and the tax rate is 8%, the tax amount is calculated as 

50 × 0.08 = 4

Therefore, the total cost is 

Applications of Ratios, Proportions, and Percents
Definition--Ratios, Proportions, and Percents Concepts--Calculating Tips Definition--Ratios, Proportions, and Percents Concepts--Calculating Tips Calculating Tips

Topic

Ratios, Proportions, and Percents

Definition

Calculating tips involves determining the amount of money to give as a gratuity based on a percentage of the total bill.

Description

Calculating tips is a common use of percentages in everyday life, particularly in service industries such as dining. Tips are usually calculated as a percentage of the total bill, and understanding how to compute this is important for both customers and service providers. 

For instance, if a meal costs $80 and you want to leave a 15% tip, the tip amount is calculated as 

80 × 0.15 = 12

Applications of Ratios, Proportions, and Percents
Definition--Ratios, Proportions, and Percents Concepts--Dimensional Analysis Definition--Ratios, Proportions, and Percents Concepts--Dimensional Analysis Dimensional Analysis

Topic

Ratios, Proportions, and Percents

Definition

Dimensional analysis is a method used to convert one unit of measurement to another using conversion factors.

Description

Dimensional analysis is a powerful tool in mathematics and science for converting units and solving problems involving measurements. It uses the principle of multiplying by conversion factors to ensure that units cancel out appropriately, leading to the desired unit.

For example, to convert 50 meters per second to kilometers per hour, you use the conversion factors  1 meter = 0.001 kilometers and 1 hour = 3600 seconds: 

Applications of Ratios, Proportions, and Percents
Definition--Ratios, Proportions, and Percents Concepts--Ratios in Simplest Form Definition--Ratios, Proportions, and Percents Concepts--Ratios in Simplest Form Ratios in Simplest Form

Topic

Ratios, Proportions, and Percents

Definition

Ratios in simplest form are ratios that have been reduced to their smallest whole number terms.

Description

Reducing ratios to their simplest form is similar to the process of simplifying fractions, making it easier to compare and interpret data. A ratio is in simplest form when the greatest common divisor of the terms is 1.

For example, the ratio 8:12 simplifies to 2:3 by dividing both terms by their greatest common divisor, 4. This skill is essential for solving problems involving proportions and understanding relationships between quantities.

Applications of Ratios, Proportions, and Percents
Definition--Ratios, Proportions, and Percents Concepts--The Golden Ratio Definition--Ratios, Proportions, and Percents Concepts--The Golden Ratio The Golden Ratio

Topic

Ratios, Proportions, and Percents

Definition

The Golden Ratio is a special number approximately equal to 1.618, often denoted by the Greek letter φ (phi), which appears in various aspects of art, architecture, and nature.

Applications of Ratios, Proportions, and Percents and 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

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

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

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and 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

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

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

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Percents