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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 12: Solving Problems about Percent Increase or Decrease

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 8 Math Clip Art--Ratios, Proportions, Percents--Proportions 08 Math Clip Art--Ratios, Proportions, Percents--Proportions 08

Topic

Ratios, Proportions, and Percents

Description

This image poses a question about proportional triangles, asking for the missing value (x) to maintain proportionality. It introduces problem-solving involving proportions, encouraging engagement and application.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 9 Math Clip Art--Ratios, Proportions, Percents--Proportions 09 Math Clip Art--Ratios, Proportions, Percents--Proportions 09

Topic

Ratios, Proportions, and Percents

Description

This image solves the posed proportion problem by finding the value of x using equivalent ratios (x/6 = 7/3). It breaks down the process of solving proportions, reinforcing mathematical reasoning.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 10 Math Clip Art--Ratios, Proportions, Percents--Proportions 10 Math Clip Art--Ratios, Proportions, Percents--Proportions 10

Topic

Ratios, Proportions, and Percents

Description

This image demonstrates proportionality in coins by calculating the number of nickels required for proportional groups (2/5 = 6/x). It closes the sequence with a real-world problem, consolidating the topic and providing a practical application.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 1 Math Clip Art--Ratios, Proportions, Percents--Rates 01 Math Clip Art--Ratios, Proportions, Percents--Rates 01

Topic

Ratios, Proportions, and Percents

Description

The image shows a hurdler jumping over a hurdle, with an overlay of the golden ratio (1.618). It introduces the concept of rates by visually showing motion and proportions. This image sets the stage for understanding rates as a mathematical relationship and connects to the idea of proportion and efficiency, aligning with rates' use in describing relationships.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 2 Math Clip Art--Ratios, Proportions, Percents--Rates 02 Math Clip Art--Ratios, Proportions, Percents--Rates 02

Topic

Ratios, Proportions, and Percents

Description

The image depicts a gas station with the formula Rate = a / b, where b ­≠ 0, defining rate as a ratio of two different units. It introduces the formal definition of rates, providing a foundation for subsequent examples that apply this definition in real-world contexts.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 3 Math Clip Art--Ratios, Proportions, Percents--Rates 03 Math Clip Art--Ratios, Proportions, Percents--Rates 03

Topic

Ratios, Proportions, and Percents

Description

The image shows a car at a gas station with the formula Speed = Distance / Time, explaining speed as a specific example of rate. It connects the abstract concept of rates to a concrete example (speed), making the topic relatable and easier to understand.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 4 Math Clip Art--Ratios, Proportions, Percents--Rates 04 Math Clip Art--Ratios, Proportions, Percents--Rates 04

Topic

Ratios, Proportions, and Percents

Description

The image highlights a gasoline pump with the formula Rate = Dollars / Gallon, illustrating the cost of gasoline as an example of rate. It applies the concept of rates to another common scenario, reinforcing the idea of rates in daily life and extending understanding from speed to cost per unit.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 5 Math Clip Art--Ratios, Proportions, Percents--Rates 05 Math Clip Art--Ratios, Proportions, Percents--Rates 05

Topic

Ratios, Proportions, and Percents

Description

The image depicts a car with the formula Fuel Efficiency Rate = Miles / Gallon, explaining how fuel efficiency is measured as a rate. It introduces a third example of rates, connecting to environmental and economic considerations, and further solidifying understanding.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 6 Math Clip Art--Ratios, Proportions, Percents--Rates 06 Math Clip Art--Ratios, Proportions, Percents--Rates 06

Topic

Ratios, Proportions, and Percents

Description

The image shows a fruit market with the formula Rate = Dollars / Pound, illustrating the cost of fruits and vegetables per unit weight. It expands the application of rates to another familiar scenario, demonstrating versatility in its use across contexts.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 7 Math Clip Art--Ratios, Proportions, Percents--Rates 07 Math Clip Art--Ratios, Proportions, Percents--Rates 07

Topic

Ratios, Proportions, and Percents

Description

The image shows a carton of eggs priced at $4 a dozen, defining a unit rate where b = 1, expressed as whole numbers or decimals. It introduces the concept of unit rates, a special type of rate, laying the groundwork for calculations in subsequent images.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 8 Math Clip Art--Ratios, Proportions, Percents--Rates 08 Math Clip Art--Ratios, Proportions, Percents--Rates 08

Topic

Ratios, Proportions, and Percents

Description

The image features lemons priced at $2.50 for 5, with the calculation Unit Rate = 2.50 / 5 = 0.50 per lemon. It provides a step-by-step calculation of unit rates, reinforcing the concept introduced earlier with practical application.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 9 Math Clip Art--Ratios, Proportions, Percents--Rates 09 Math Clip Art--Ratios, Proportions, Percents--Rates 09

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the cost of 5 pounds of ground beef at $15.75, with the calculation Unit Rate = 15.75 / 5 = 3.25 per pound. It demonstrates another example of calculating unit rates, solidifying the learner's ability to perform similar calculations.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Rates, Image 10 Math Clip Art--Ratios, Proportions, Percents--Rates 10 Math Clip Art--Ratios, Proportions, Percents--Rates 10

Topic

Ratios, Proportions, and Percents

Description

The image shows a runner covering 8 miles in 1.25 hours, with the calculation Speed = 8 / 1.25 = 6.4 miles/hour. It reinforces the speed example from earlier, providing another opportunity to apply the concept of rates to motion.

Ratios, Proportions, and Percents focuses on understanding and applying the concept of rates, which are comparisons of two quantities with different units.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 1 Math Clip Art--Ratios, Proportions, Percents--Ratios 01 Math Clip Art--Ratios, Proportions, Percents--Ratios 01

Topic

Ratios, Proportions, and Percents

Description

This image establishes the mathematical foundation for understanding ratios with an iconic example.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 2 Math Clip Art--Ratios, Proportions, Percents--Ratios 02 Math Clip Art--Ratios, Proportions, Percents--Ratios 02

Topic

Ratios, Proportions, and Percents

Description

Definition of a ratio as a relationship between two quantities using sports balls. It introduces the concept of ratios in an accessible and relatable way.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 3 Math Clip Art--Ratios, Proportions, Percents--Ratios 03 Math Clip Art--Ratios, Proportions, Percents--Ratios 03

Topic

Ratios, Proportions, and Percents

Description

Visual example of ratios using soccer balls and basketballs, expressed as 5:2, 5 to 2, and 5 / 2. Illustrates how ratios can be represented in multiple formats.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 4 Math Clip Art--Ratios, Proportions, Percents--Ratios 04 Math Clip Art--Ratios, Proportions, Percents--Ratios 04

Topic

Ratios, Proportions, and Percents

Description

A table summarizing different ratios derived from the group of balls, e.g., soccer to baseball or soccer to basketball. Shows how to systematically calculate and organize ratios from a dataset.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 5 Math Clip Art--Ratios, Proportions, Percents--Ratios 05 Math Clip Art--Ratios, Proportions, Percents--Ratios 05

Topic

Ratios, Proportions, and Percents

Description

Simplification of ratios in the table, e.g., 4 / 2 becomes 2 / 1. Highlights the importance of simplifying ratios for clarity and consistency.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 6 Math Clip Art--Ratios, Proportions, Percents--Ratios 06 Math Clip Art--Ratios, Proportions, Percents--Ratios 06

Topic

Ratios, Proportions, and Percents

Description

Application of ratios to geometric shapes (circles, triangles, hexagons) with a table of ratios. Extends the concept of ratios to other objects, demonstrating versatility.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 7 Math Clip Art--Ratios, Proportions, Percents--Ratios 07 Math Clip Art--Ratios, Proportions, Percents--Ratios 07

Topic

Ratios, Proportions, and Percents

Description

Simplified ratios in the table for geometric shapes. Reinforces the practice of simplifying ratios for better comprehension.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 8 Math Clip Art--Ratios, Proportions, Percents--Ratios 08 Math Clip Art--Ratios, Proportions, Percents--Ratios 08

Topic

Ratios, Proportions, and Percents

Description

Example of a three-term ratio (Red : Yellow : Blue = 6 : 4 : 3) using lollipops. Expands understanding of ratios to include three quantities.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 9 Math Clip Art--Ratios, Proportions, Percents--Ratios 09 Math Clip Art--Ratios, Proportions, Percents--Ratios 09

Topic

Ratios, Proportions, and Percents

Description

Three-term ratios applied to a recipe: Flour : Sugar : Milk = 3 : 2 : 1. Connects ratios to real-world applications, specifically in cooking.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 10 Math Clip Art--Ratios, Proportions, Percents--Ratios 10 Math Clip Art--Ratios, Proportions, Percents--Ratios 10

Topic

Ratios, Proportions, and Percents

Description

Fractions in ratios: Milk to Water = 1/4 : 1/2, simplified to 1 : 2. Demonstrates handling fractional ratios and simplifying them to whole numbers.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Ratios, Image 11 Math Clip Art--Ratios, Proportions, Percents--Ratios 11 Math Clip Art--Ratios, Proportions, Percents--Ratios 11

Topic

Ratios, Proportions, and Percents

Description

Demonstrates equivalent ratios by simplifying fractions for Red:Green (4:2 to 2:1) and Strawberries:Lemons (6:3 to 2:1). Emphasizes the concept of equivalent ratios by showing how they simplify to the same value, reinforcing previous examples.

Ratios, Proportions, and Percents is a fundamental concept in mathematics that helps students understand proportional reasoning, scaling, and comparative analysis. These examples provide a bridge between abstract mathematical principles and real-world applications, helping students grasp the utility of ratios.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 1 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01

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

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 2 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02

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

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 3 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03

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

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 4 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04

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

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 5 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05

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

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 6 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06

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

Proportions
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 1 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 1 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 1

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 10 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 10 Fractions, Decimals, and Percents: Example 10

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 11 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 11 Fractions, Decimals, and Percents: Example 11

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 12 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 12 Fractions, Decimals, and Percents: Example 12

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 13 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 13 Fractions, Decimals, and Percents: Example 13

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 14 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 14 Fractions, Decimals, and Percents: Example 14

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 15 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 15 Fractions, Decimals, and Percents: Example 15

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 2 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 2 Fractions, Decimals, and Percents: Example 2

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 3 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 3 Fractions, Decimals, and Percents: Example 3

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 4 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 4 Fractions, Decimals, and Percents: Example 4

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 5 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 5 Fractions, Decimals, and Percents: Example 5

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 6 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 6 Fractions, Decimals, and Percents: Example 6

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 7 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 7 Fractions, Decimals, and Percents: Example 7

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 8 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 8 Fractions, Decimals, and Percents: Example 8

Topic

Fractions

Relate Fractions to Decimals
Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 9 Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 9 Fractions, Decimals, and Percents: Example 9

Topic

Fractions

Relate Fractions to Decimals
Math Example--Percents-- Equations with Percents: Example 1 Math Example--Percents--Equations with Percents: Example 1 Math Example--Percents--Equations with Percents: Example 1

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 5% of 8?" The solution involves converting 5% to its decimal form, 0.05, and then multiplying it by 8 to get the result of 0.4. This straightforward approach demonstrates how to tackle basic percent calculations efficiently.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 10 Math Example--Percents--Equations with Percents: Example 10 Math Example--Percents--Equations with Percents: Example 10

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 170% of 9.5?" The solution involves converting 170% to its decimal equivalent, 1.7, and then multiplying it by 9.5 to obtain the result of 16.15. This example combines a percentage greater than 100% with a decimal base number, further illustrating the versatility of the percent-to-decimal conversion method in complex scenarios.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 11 Math Example--Percents--Equations with Percents: Example 11 Math Example--Percents--Equations with Percents: Example 11

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 225.5% of 78?" The solution involves converting 225.5% to its decimal form, 2.255, and then multiplying it by 78 to arrive at the answer of 175.89. This example introduces a decimal percentage greater than 200% and a larger whole number as the base value, demonstrating the scalability and flexibility of the percent-to-decimal conversion method in complex scenarios.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 12 Math Example--Percents--Equations with Percents: Example 12 Math Example--Percents--Equations with Percents: Example 12

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 400% of 92.8?" The solution involves converting 400% to its decimal equivalent, 4.0, and then multiplying it by 92.8 to obtain the result of 371.2. This example showcases how to handle percentages greater than 100% and their application to decimal numbers, illustrating the versatility of the percent-to-decimal conversion method in complex scenarios.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 13 Math Example--Percents--Equations with Percents: Example 13 Math Example--Percents--Equations with Percents: Example 13

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "5 is what percent of 9?" The solution involves setting up the equation 9 * (x / 100) = 5, then solving for x to get x = 5 * (100 / 9), which is approximately 55.56%. This example introduces a new type of percent problem where students must find the percentage given two known values.

Solving Percent Equations