Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Math Clip Art--Percent Visualizations 4 |
Math Clip Art--Percent Visualizations 4 This is a collection of clip art images that show visual models for percents. |
Ratios and Rates and Percents | |
Math Clip Art--Percent Visualizations 5 |
Math Clip Art--Percent Visualizations 5 This is a collection of clip art images that show visual models for percents. |
Ratios and Rates and Percents | |
Math Clip Art--Percent Visualizations 6 |
Math Clip Art--Percent Visualizations 6 This is a collection of clip art images that show visual models for percents. |
Ratios and Rates and Percents | |
Math Clip Art--Percent Visualizations 7 |
Math Clip Art--Percent Visualizations 7 This is a collection of clip art images that show visual models for percents. |
Ratios and Rates and Percents | |
Math Clip Art--Percent Visualizations 8 |
Math Clip Art--Percent Visualizations 8 This is a collection of clip art images that show visual models for percents. |
Ratios and Rates and Percents | |
Math Clip Art--Percent Visualizations 9 |
Math Clip Art--Percent Visualizations 9 This is a collection of clip art images that show visual models for percents. |
Ratios and Rates and Percents | |
Math Clip Art--Rates and Tape Diagrams: Cooking 1 |
Math Clip Art--Rates and Tape Diagrams: Cooking 1 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 10 |
Math Clip Art--Rates and Tape Diagrams: Cooking 10 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 11 |
Math Clip Art--Rates and Tape Diagrams: Cooking 11 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 2 |
Math Clip Art--Rates and Tape Diagrams: Cooking 2 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 3 |
Math Clip Art--Rates and Tape Diagrams: Cooking 3 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 4 |
Math Clip Art--Rates and Tape Diagrams: Cooking 4 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 5 |
Math Clip Art--Rates and Tape Diagrams: Cooking 5 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 6 |
Math Clip Art--Rates and Tape Diagrams: Cooking 6 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 7 |
Math Clip Art--Rates and Tape Diagrams: Cooking 7 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 8 |
Math Clip Art--Rates and Tape Diagrams: Cooking 8 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Rates and Tape Diagrams: Cooking 9 |
Math Clip Art--Rates and Tape Diagrams: Cooking 9 This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems. |
Ratios and Rates | |
Math Clip Art--Ratios, Proportions, Percents--Rates 01 |
Math Clip Art--Ratios, Proportions, Percents--Rates 01TopicRatios, Proportions, and Percents DescriptionThe 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 02 |
Math Clip Art--Ratios, Proportions, Percents--Rates 02TopicRatios, Proportions, and Percents DescriptionThe 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 03 |
Math Clip Art--Ratios, Proportions, Percents--Rates 03TopicRatios, Proportions, and Percents DescriptionThe 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 04 |
Math Clip Art--Ratios, Proportions, Percents--Rates 04TopicRatios, Proportions, and Percents DescriptionThe 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 05 |
Math Clip Art--Ratios, Proportions, Percents--Rates 05TopicRatios, Proportions, and Percents DescriptionThe 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 06 |
Math Clip Art--Ratios, Proportions, Percents--Rates 06TopicRatios, Proportions, and Percents DescriptionThe 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 07 |
Math Clip Art--Ratios, Proportions, Percents--Rates 07TopicRatios, Proportions, and Percents DescriptionThe 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 08 |
Math Clip Art--Ratios, Proportions, Percents--Rates 08TopicRatios, Proportions, and Percents DescriptionThe 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 09 |
Math Clip Art--Ratios, Proportions, Percents--Rates 09TopicRatios, Proportions, and Percents DescriptionThe 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 10 |
Math Clip Art--Ratios, Proportions, Percents--Rates 10TopicRatios, Proportions, and Percents DescriptionThe 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 01 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 01TopicRatios, Proportions, and Percents DescriptionThis 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 02 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 02TopicRatios, Proportions, and Percents DescriptionDefinition 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 03 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 03TopicRatios, Proportions, and Percents DescriptionVisual 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 04 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 04TopicRatios, Proportions, and Percents DescriptionA 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 05 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 05TopicRatios, Proportions, and Percents DescriptionSimplification 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 06 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 06TopicRatios, Proportions, and Percents DescriptionApplication 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 07 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 07TopicRatios, Proportions, and Percents DescriptionSimplified 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 08 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 08TopicRatios, Proportions, and Percents DescriptionExample 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 09 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 09TopicRatios, Proportions, and Percents DescriptionThree-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 10 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 10TopicRatios, Proportions, and Percents DescriptionFractions 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 11 |
Math Clip Art--Ratios, Proportions, Percents--Ratios 11TopicRatios, Proportions, and Percents DescriptionDemonstrates 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--Simple Ratios 1 |
Math Clip Art--Simple Ratios 1 This is a collection of clip art images that show simple ratios. |
Ratios and Rates | |
Math Clip Art--Simple Ratios 2 |
Math Clip Art--Simple Ratios 2 This is a collection of clip art images that show simple ratios. |
Ratios and Rates | |
Math Clip Art--Simple Ratios 3 |
Math Clip Art--Simple Ratios 3 This is a collection of clip art images that show simple ratios. |
Ratios and Rates | |
Math Clip Art--Simple Ratios 4 |
Math Clip Art--Simple Ratios 4 This is a collection of clip art images that show simple ratios. |
Ratios and Rates | |
Math Clip Art: Slope vs. Rate |
Math Clip Art: Slope vs. Rate In these clip art images, show students the difference between ratios and rates. These images are useful when talking about slope as both a ratio and a rate. In particular, this is useful when talking about slope as a rate of change. |
Slope and Ratios and Rates | |
Math Example--Ratios and Rates--Example 1 |
Math Example--Ratios and Rates--Example 1TopicRatios and Rates DescriptionThis math example focuses on understanding ratios using colored socks. The image displays a collection of red and blue socks, and students are asked to determine the ratio of red socks to blue socks. The solution demonstrates that there are 4 pairs of red socks and 4 pairs of blue socks, resulting in a ratio of 4 : 4, which simplifies to 1 : 1. |
Ratios and Rates | |
Math Example--Ratios and Rates--Example 10 |
Math Example--Ratios and Rates--Example 10TopicRatios and Rates DescriptionThis example focuses on finding equivalent ratios using a collection of socks in various colors. The image shows socks arranged in rows, with black, green, white, and other colors present. Students are asked to find a ratio among three colors that is equivalent to 1 : 3 : 1. |
Ratios and Rates | |
Math Example--Ratios and Rates--Example 11 |
Math Example--Ratios and Rates--Example 11TopicRatios and Rates DescriptionThis example focuses on finding equivalent ratios using a collection of socks in various colors. The image shows socks arranged in rows, with black, green, white, and other colors present. Students are asked to find a ratio among three colors that is equivalent to 1 : 4 : 1. |
Ratios and Rates | |
Math Example--Ratios and Rates--Example 12 |
Math Example--Ratios and Rates--Example 12TopicRatios and Rates DescriptionThis example explores the concept of similar triangles using ratios. The image shows a right triangle with sides labeled as 9, 12, and 15 units. Students are asked to determine if this triangle is similar to a standard 3-4-5 Pythagorean triplet triangle. Understanding similar triangles is an important application of ratios in geometry. This example demonstrates how ratios can be used to compare the sides of triangles and determine similarity. By scaling the sides of a known triangle (3-4-5) and comparing them to the given triangle, students can see how ratios maintain proportionality in similar shapes. |
Ratios and Rates | |
Math Example--Ratios and Rates--Example 13 |
Math Example--Ratios and Rates--Example 13TopicRatios and Rates DescriptionThis example focuses on verifying the similarity of triangles using ratios. The image shows a right triangle with sides labeled 25, 60, and 65 units. Students are guided through a step-by-step process to determine if this triangle is similar to a 5-12-13 right triangle. |
Ratios and Rates | |
Math Example--Ratios and Rates--Example 14 |
Math Example--Ratios and Rates--Example 14TopicRatios and Rates DescriptionThis example explores the concept of special right triangles using ratios. The image shows a right triangle with sides labeled 3, 3 2 2 , and 6 units. Students are guided through a step-by-step process to verify if this triangle is similar to a 30°-60°-90° triangle. |
Ratios and Rates | |
Math Example--Ratios and Rates--Example 15 |
Math Example--Ratios and Rates--Example 15TopicRatios and Rates |
Ratios and Rates |