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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 3

Unit Rates and Percentages

Lesson 15: Finding This Percent of That

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Strategy Pack Instructional Resource Collection: Strategy Packs

Overview

This is a collection of Strategy Packs, which focus on different approaches to solving different types of math problems.

 

 

 
Solving One-Step Equations, Compare and Order Fractions and Percents
Math Worksheets Math Worksheet Collection: Decimals to Percents

Overview

This collection aggregates all the math worksheets around the topic of Decimals to Percents. There are a total of 60 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.

 

To download the full set of these resources, click on this link.

 

Percents and Numerical Expressions
Math Worksheets Math Worksheet Collection: Percents to Decimals and Whole Numbers

Overview

This collection aggregates all the math worksheets around the topic of Percents to Decimals and Whole Numbers. There are a total of 20 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.

 

Percents
Math Videos Math Video Collection: Video Tutorials Series: Percents

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: Percents. There are a total of 48 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Percents
Math Clip Art Math Clip Art Collection: Percents

Overview

This collection aggregates all the math clip art around the topic of Percents. There are a total of 15 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Percents
Math Examples Math Examples Collection: Percent Change

Overview

This collection aggregates all the math examples around the topic of Percent Change. There are a total of 10 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Percents
Math Examples Math Examples Collection: Simple Interest

Overview

This collection aggregates all the math examples around the topic of Simple Interest. There are a total of 10 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Percents
Math Examples Math Examples Collection: Calculating Tax

Overview

This collection aggregates all the math examples around the topic of Calculating Tax. There are a total of 10 Math Examples. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Percents
Math Examples Math Examples Collection: Calculating Tips and Commissions

Overview

This collection aggregates all the math examples around the topic of Calculating Commissions and Tips. There are a total of 10 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Percents
Math Clip Art Math Clip Art Collection: Percent Change

Overview

This collection aggregates all the math clip art around the topic of Percent Change. There are a total of 13 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Percents
Math in the News Math in the News Collection: Applications of Data Analysis

Overview

This is a collection of Math in the News stories that focus on the topic of Data Analysis.

 

 

 
Data Analysis, Data Gathering, Probability, Percents and Ratios and Rates
Ratios Collection Math Definitions Collection: Ratios, Proportions, and Percents

Overview

This collection of definitions on the topic of Ratios, Proportions, and Percents from Media4Math is an invaluable educational resource designed to enhance students' understanding of these fundamental mathematical concepts. This comprehensive collection includes essential terms such as ratio, proportion, percent, rate, unit rate, and scale model.

Applications of Ratios, Proportions, and Percents, Ratios and Rates, Percents and Proportions
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: 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--Converting Units Definition--Ratios, Proportions, and Percents Concepts--Converting Units Converting Units

Topic

Ratios, Proportions, and Percents

Definition

Converting units involves changing a measurement from one unit to another using a conversion factor.

Description

Converting units is essential in various fields such as science, engineering, and everyday life. It involves using ratios and proportions to switch between different measurement systems, such as converting inches to centimeters or gallons to liters.

For example, to convert 5 miles to kilometers, knowing that 1 mile is approximately 1.60934 kilometers, you multiply 

5 × 1.60934 = 8.0467 kilometers

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

Topic

Ratios, Proportions, and Percents

Definition

Equivalent ratios are ratios that express the same relationship between quantities.

Description

Equivalent ratios are fundamental in understanding proportions and scaling in mathematics. They represent the same relationship between quantities, even though the numbers themselves may differ. This concept is crucial in various applications, such as cooking, map reading, and creating models.

For instance, the ratios 2:3 and 4:6 are equivalent because they both simplify to the same ratio when reduced.

Ratios and Rates
Definition--Ratios, Proportions, and Percents Concepts--Part-to-Part Ratios Definition--Ratios, Proportions, and Percents Concepts--Part-to-Part Ratios Part-to-Part Ratios

Topic

Ratios, Proportions, and Percents

Definition

Part-to-part ratios compare different parts of a whole to each other.

Description

Part-to-part ratios are used to compare different parts of a whole, providing a way to understand the relationship between different components. This type of ratio is essential in fields such as statistics, biology, and economics.

For example, if a class has 10 boys and 15 girls, the part-to-part ratio of boys to girls is 10:15, which simplifies to 2:3.

Ratios and Rates
Definition--Ratios, Proportions, and Percents Concepts--Part-to-Whole Ratios Definition--Ratios, Proportions, and Percents Concepts--Part-to-Whole Ratios Part-to-Whole Ratios

Topic

Ratios, Proportions, and Percents

Definition

Part-to-whole ratios compare one part of a whole to the entire whole. These ratios are more commonly known as fractions.

Description

Part-to-whole ratios are used to compare a part of a whole to the entire whole, providing insights into the composition of a dataset or population. This type of ratio, more commonly referred to as fractions, is widely used in statistics, finance, and everyday decision-making.

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--Proportion Definition--Ratios, Proportions, and Percents Concepts--Proportion Proportion

Topic

Ratios, Proportions, and Percents

Definition

A proportion is an equation that states that two ratios are equal.

Description

Understanding proportions is essential in mathematics, as it is used to solve problems involving ratios and fractions. Proportions are commonly seen in real-world applications such as cooking, map measurements, and scale models.

To illustrate, if there are 2 apples for every 3 oranges, the proportion can be expressed as 2:3. Solving proportions involves finding and solving an equivalent ratio.

Proportions
Definition--Ratios, Proportions, and Percents Concepts--Proportional Definition--Ratios, Proportions, and Percents Concepts--Proportional Proportional

Topic

Ratios, Proportions, and Percents

Definition

Proportional refers to the relationship between two quantities where their ratio is constant.

Description

Proportional relationships are fundamental in mathematics and science, describing how one quantity changes in relation to another. This concept is used in various fields, including physics, economics, and engineering.

For example, if the speed of a car is proportional to the time it travels, doubling the time will double the distance covered. Understanding proportionality helps students solve complex problems and apply mathematical reasoning in real-world situations.

Proportions
Definition--Ratios, Proportions, and Percents Concepts--Rate Definition--Ratios, Proportions, and Percents Concepts--Rate Rate

Topic

Ratios, Proportions, and Percents

Definition

A rate is a ratio that compares two quantities with different units.

Description

Rates are used to compare different quantities, such as speed (miles per hour) or price (cost per item). Understanding rates is essential for interpreting data and making informed decisions in various contexts, such as travel and budgeting.

For instance, if a car travels 60 miles in 2 hours, the rate is 30 miles per hour. Learning about rates helps students analyze real-world situations and apply mathematical reasoning to everyday problems.

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

Topic

Ratios, Proportions, and Percents

Definition

A ratio is a comparison of two quantities by division.

Description

Ratios are used to express the relationship between two quantities, providing a way to compare different amounts. They are fundamental in various fields, including mathematics, science, and finance.

For example, the ratio of 4 to 5 can be written as 4:5 or 4/5. Understanding ratios helps students analyze data, solve problems, and make informed decisions in real-world situations.

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

Topic

Ratios, Proportions, and Percents

Definition

Ratios and fractions are both ways of comparing quantities, with fractions representing a part of a whole.

Description

Understanding the connection between ratios and fractions is crucial for solving problems involving proportions and scaling. Ratios can be expressed as fractions, providing a way to understand the relationship between quantities. A fraction is a part-whole ratio.

Ratios and Rates