Illustrative Math Alignment: Grade 7 Unit 4

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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. 

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.

What Are Ratios?

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

What Are Ratios?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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.

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.

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.

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.

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.

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.

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.

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.