Illustrative Math Alignment: Grade 7 Unit 4

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "30 is 5% of what number?" The solution involves setting up the equation 30 = 0.05 * x, then solving for x to get x = 30 / 0.05, which equals 600. This example demonstrates how to calculate the whole when given a small percentage of it, resulting in a much larger number.

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "50 is 80% of what number?" The solution involves setting up the equation 50 = 0.8 * x, then solving for x to get x = 50 / 0.8, which equals 62.5. This example introduces a scenario where we need to find the whole when given a large percentage of it, resulting in a number that is only slightly larger than the given value.

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "78 is 150% of what number?" The solution involves setting up the equation 78 = 1.5 * x, then solving for x to get x = 78 / 1.5, which equals 52. This example demonstrates how to calculate the original value when given a percentage greater than 100%, resulting in a number that is smaller than the given value.

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "150 is 0.2% of what number?" The solution involves setting up the equation 150 = 0.002 * x, then solving for x to get x = 150 / 0.002, which equals 75,000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value.

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 6.5% of 45.5?" The solution involves converting 6.5% to its decimal equivalent, 0.065, and then multiplying it by 45.5 to obtain the result of 2.9575. This example introduces both a decimal percentage and a decimal base number, adding complexity to the calculation.

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "225 is 3% of what number?" The solution involves setting up the equation 225 = 0.03 * x, then solving for x to get x = 225 / 0.03, which equals 7,500. This example demonstrates how to calculate the whole when given a small percentage of it, resulting in a number that is significantly larger than the given value.

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "400 is 40% of what number?" The solution involves setting up the equation 400 = 0.4 * x, then solving for x to get x = 400 / 0.4, which equals 1000. This example demonstrates how to calculate the whole when given a significant percentage of it, resulting in a number that is larger than the given value.

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "650 is 130% of what number?" The solution involves setting up the equation 650 = 1.3 * x, then solving for x to get x = 650 / 1.3, which equals 500. This example introduces a scenario where we need to find the original value when given a percentage greater than 100%, resulting in a number that is smaller than the given value.

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 30% of 9?" The solution involves converting 30% to its decimal form, 0.3, and then multiplying it by 9 to get the result of 2.7. This example introduces a larger percentage, demonstrating how the method applies consistently across various percentage values.

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 28% of 7.2?" The solution involves converting 28% to its decimal equivalent, 0.28, and then multiplying it by 7.2 to obtain the result of 2.016. This example combines a whole number percentage with a decimal base number, further illustrating the versatility of the percent-to-decimal conversion method.

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 45% of 68?" The solution involves converting 45% to its decimal form, 0.45, and then multiplying it by 68 to arrive at the answer of 30.6. This example introduces a larger percentage and a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method.

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 52.3% of 36.9?" The solution involves converting 52.3% to its decimal equivalent, 0.523, and then multiplying it by 36.9 to obtain the result of 19.2987. This example introduces both a decimal percentage and a decimal base number, adding complexity to the calculation and showcasing the versatility of the percent-to-decimal conversion method.

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 150% of 8?" The solution involves converting 150% to its decimal form, 1.5, and then multiplying it by 8 to get the result of 12. This example introduces a percentage greater than 100%, demonstrating how the method applies consistently even when dealing with percentages that represent values larger than the whole.

What Are Percents?

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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This is part of a collection of math quizzes on the topic of Equations with Percents.

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This is part of a collection of math quizzes on the topic of Equations with Percents.

Related Resources

Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of Equations with Percents.

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Quiz Library

ary">click on this link.

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.

Topic

Percents

Description

The video demonstrates calculating tips and commissions using percentages. Examples include restaurant tips, real estate commissions, and catering costs. Applications focus on service industry calculations and earnings management.

Topic

Percents

Description

This video demonstrates how to handle multiple percentage changes applied sequentially, including discounts and price fluctuations. Examples include double-discounted items, stock price variations, and gasoline price changes. Applications emphasize consolidating multiple percents into single calculations for efficiency in financial and retail scenarios.

Topic

Percents

Description

The video explores percent-based probabilities in scenarios like dice rolls. Examples include calculating probabilities of specific outcomes and estimating occurrences over multiple trials. Applications include games of chance and statistical analysis.

Topic

Percents

Description

The video explains the distinction between percent growth and multiple growth. Examples include doubling heights, stock price increases, and oil price changes. Applications emphasize clear understanding of percent versus multiplier concepts in finance and everyday math.

Topic

Percents

Description

This video demonstrates solving for the whole when given a percent and a part. Examples include lemonade recipes, mixing paint, and counting UFOs. Techniques involve writing equations using decimals for percents and solving for the unknown total. Key vocabulary includes part, whole, and equation setup, with practical applications in recipes, art, and problem-solving.

Topic

Percents

Description

The video discusses finding a percent difference when given a part that is not the focus of the percent. Scenarios include bus usage in schools, basketball free throws, and salmon spawning. It emphasizes adjusting percentages for complementary parts before solving equations. Applications highlight real-world uses in demographics, sports, and environmental studies.

Topic

Percents

Description

This video focuses on calculating what percent one number is of another, using ratios and fractions. Examples include ratios in milk composition and inverses such as determining larger percents over 100. Applications show comparisons and understanding proportional relationships in varied contexts.

Topic

Percents

Description

Visual models such as grids and rectangles are used to represent percents and fractions for solving problems like transport usage, car distribution, and sales discounts. Examples include using grids to represent percentages of populations or products. Applications include educational tools and practical estimation.

Topic

Percents

Description

This video teaches estimation techniques for calculating percents without a calculator. Examples include estimating fish populations, race participants, and cyclists. Visual aids like rectangles partitioned into fractions assist with rounding percents for quick calculations. Applications focus on efficient mental math for real-world approximations.