Illustrative Math Alignment: Grade 7 Unit 4

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.

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of converting fractions to percents, dividing 5 by 8 to get 62.5% and expands on this idea by showing an alternative method for conversion, allowing for flexibility in approaches.

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 the general equation for percents: a% * x = y, using the example 10% * 50 = 5. It emphasizes the three components of a percent equation: the percent, a base number, and the result, and expands on this idea by showing that establishes the foundational equation for solving percent problems, serving as a gateway to explore specific types of percent equations.

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of how to solve the question 'what is 15% of 250?' using the equation a% * x = y, with calculations explicitly shown as 15 * 2.5 = 37.5. and expands on this idea by showing that provides a clear, step-by-step example to apply the general percent equation, enhancing comprehension through practical application.

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of solving '150 is 30% of what number?' using the same equation a% * x = y and algebraic manipulation to find x = 500 and expands on this idea by showing that explains how to rearrange the percent equation to solve for different variables, expanding on problem-solving strategies.

Topic

Ratios, Proportions, and Percents

Description

The image illustrates solving the problem 'what percent of 90 is 45?' using the equation a% * x = y, and algebraically finding a% = 50% and expands on this idea by showing that demonstrates how to find the percent in percent equations, further developing flexibility in solving percent-related problems.

Topic

Ratios, Proportions, and Percents

Description

The image summarizes the three types of percent equations in a table format, highlighting the unknown variable in each scenario (percent, part, or whole) and expands on this idea by providing a comprehensive overview and categorization of percent problems, solidifying the framework introduced in earlier examples.

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

Topic

Fractions

July 2014. In this issue of Math in the News we look at the mathematics of the Nielsen Ratings. This provides an excellent application of ratios, proportions, and percents.

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July 2015. This edition of Math in the News focuses on the severe drought currently taking place in California, and how it has impacted the water resources available to the state. In this edition, students will see how to use percentages given to determine actual amounts, and to determine percents out of a whole.

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What Are Ratios?

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

This is the transcript that goes with the video segment entitled Video: Percents: Applications of Percent -- Grade.

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This is the transcript that goes with the video segment entitled Video: Percents: Calculating Commissions and Tips.

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This is the transcript that goes with the video segment entitled Video: Percents: Calculating Tax.

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This is the transcript that goes with the video segment entitled Video: Percents: Calculating the Whole Given a Percent.

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This is the transcript that goes with the video segment entitled Video: Percents: Estimating Percents.

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This is the transcript that goes with the video segment entitled Video: Percents: Fraction-Percent Conversion.

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This is the transcript that goes with the video segment entitled Video: Percents: Multiple Percents.

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This is the transcript that goes with the video segment entitled Video: Percents: Percent Decrease.

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This is the transcript that goes with the video segment entitled Video: Percents: Percent Increase.

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This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Percent of a Difference.

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This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Percent of a Number.

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This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Percents and Multiples of Numbers.

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This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Probabilities and Percents.

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This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Simple Interest.

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This is the transcript that goes with the video segment entitled Video Tutorial: Percents: The Percent One Number is of Another.

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This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Visual Models for Percents.

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This is the transcript that goes with the video segment entitled Video Tutorials: Ratios, Proportions, and Percents: Calculating Percents.

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Topic

Percents

Description

The video explains how to find the percent of a number by converting percents to fractions or decimals and performing multiplication. Examples include voter turnout in elections, body water composition, and ocean salt concentration. Key concepts include percent conversion and checking calculations using reverse operations. Applications include real-world scenarios such as population statistics and scientific measurements.

Topic

Percents

Description

This video covers calculating percent decreases in scenarios such as price reductions, vehicle depreciation, and cube dimension changes. Examples demonstrate the relationship between linear decreases and their exponential effects on surface area and volume. Applications include consumer goods, real estate, and geometry.

Topic

Percents

Description

The video explains how to calculate simple interest using a formula involving principal, rate, and time. Examples include savings account growth, stock investments, and rare coin valuation. Applications include financial planning and historical item appraisal.

Topic

Percents

Description

This video covers tax calculations for purchases, property, and VAT. Examples include grocery bills, iPad purchases, and real estate property taxes. Applications highlight the importance of understanding tax rates for budgeting and financial management.