Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Math Clip Art--Algebra Tiles--X Squared Algebra Tiles | Math Clip Art--Algebra Tiles--X Squared Algebra Tiles
This is part of a collection of math clip art images that model numbers and expressions using algebra tiles. |
Algebra Tiles--Expressions and Equations | |
Math Clip Art--Algebra Tiles--Zero Pair Algebra Tiles | Math Clip Art--Algebra Tiles--Zero Pair Algebra Tiles
This is part of a collection of math clip art images that model numbers and expressions using algebra tiles. |
Algebra Tiles--Expressions and Equations | |
Math Example--Inequalities-- Linear Inequalities: Example 1 | Math Example--Inequalities-- Linear Inequalities: Example 1TopicInequalities DescriptionThis example demonstrates how to graph the linear inequality y > 2x + 3. The graph shows a dashed line representing the equation y = 2x + 3, with the region above the line shaded to indicate where the inequality holds true. The use of a dashed line signifies that points on the line itself are not included in the solution set. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 10 | Math Example--Inequalities-- Linear Inequalities: Example 10TopicInequalities DescriptionThis example illustrates the graphing of the linear inequality y ≤ 3x + 2. The graph features a solid line representing the equation y = 3x + 2, with the area below the line shaded to indicate the region where the inequality is satisfied. The solid line signifies that points on the line are included in the solution set. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 11 | Math Example--Inequalities-- Linear Inequalities: Example 11TopicInequalities DescriptionThis example demonstrates the graphing of the linear inequality y ≤ -2x + 1. The graph shows a solid line representing the equation y = -2x + 1, with the region below the line shaded to indicate where the inequality holds true. The solid line signifies that points on the line are included in the solution set. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 12 | Math Example--Inequalities-- Linear Inequalities: Example 12TopicInequalities DescriptionThis example illustrates the graphing of the linear inequality y ≤ -3. The graph features a solid horizontal line at y = -3, with the region below this line shaded to represent the solution set of the inequality. The use of a solid line indicates that points on the line itself are included in the solution. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 2 | Math Example--Inequalities-- Linear Inequalities: Example 2TopicInequalities DescriptionThis example illustrates the graphing of the linear inequality y > -3x + 1. The graph features a dashed line representing the equation y = -3x + 1, with the area above the line shaded to indicate the region where the inequality is satisfied. The dashed line signifies that points on the line are not part of the solution set. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 3 | Math Example--Inequalities-- Linear Inequalities: Example 3TopicInequalities DescriptionThis example demonstrates the graphing of the linear inequality y > -1. The graph shows a dashed horizontal line at y = -1, with the region above this line shaded to represent the solution set of the inequality. The use of a dashed line indicates that points on the line itself are not included in the solution. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 4 | Math Example--Inequalities-- Linear Inequalities: Example 4TopicInequalities DescriptionThis example illustrates the graphing of the linear inequality y < x - 2. The graph features a dashed line representing the equation y = x - 2, with the area below the line shaded to indicate the region where the inequality holds true. The dashed line signifies that points on the line are not included in the solution set. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 5 | Math Example--Inequalities-- Linear Inequalities: Example 5TopicInequalities DescriptionThis example demonstrates the graphing of the linear inequality y < -3x + 4. The graph shows a dashed line representing the equation y = -3x + 4, with the region below the line shaded to indicate where the inequality holds true. Quadrants II and III are predominantly shaded, illustrating the solution set of this inequality. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 6 | Math Example--Inequalities-- Linear Inequalities: Example 6TopicInequalities DescriptionThis example illustrates the graphing of the linear inequality y < 6. The graph features a horizontal dashed line at y = 6, with the region below this line shaded to represent the solution set of the inequality. Quadrants III and IV are entirely shaded, demonstrating where the inequality holds true. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 7 | Math Example--Inequalities-- Linear Inequalities: Example 7TopicInequalities DescriptionThis example demonstrates the graphing of the linear inequality y ≥ 5x + 3. The graph shows a solid line representing the equation y = 5x + 3, with the region above the line shaded to indicate where the inequality holds true. Quadrants I and II are predominantly shaded, illustrating the solution set of this inequality. The use of a solid line signifies that points on the line are included in the solution. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 8 | Math Example--Inequalities-- Linear Inequalities: Example 8TopicInequalities DescriptionThis example illustrates the graphing of the linear inequality y ≥ -2x - 1. The graph features a solid line representing the equation y = -2x - 1, with the area above the line shaded to indicate the region where the inequality is satisfied. Quadrants I and IV are predominantly shaded, demonstrating the solution set of this inequality. The solid line signifies that points on the line are included in the solution. |
Inequalities | |
Math Example--Inequalities-- Linear Inequalities: Example 9 | Math Example--Inequalities-- Linear Inequalities: Example 9TopicInequalities DescriptionThis example demonstrates the graphing of the linear inequality y ≥ 2. The graph shows a solid horizontal line at y = 2, with the region above this line shaded to represent the solution set of the inequality. The use of a solid line indicates that points on the line itself are included in the solution. |
Inequalities | |
Math Example--Percents--Equations with Percents: Example 1 | Math Example--Percents--Equations with Percents: Example 1TopicSolving Equations DescriptionThis 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 10TopicSolving Equations DescriptionThis 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 11TopicSolving Equations DescriptionThis 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 12TopicSolving Equations DescriptionThis 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 13TopicSolving Equations DescriptionThis 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 | |
Math Example--Percents--Equations with Percents: Example 14 | Math Example--Percents--Equations with Percents: Example 14TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "6 is what percent of 2.3?" The solution involves setting up the equation 2.3 * (x / 100) = 6, then solving for x to get x = 6 * (100 / 2.3), which is approximately 260.87%. This example introduces a scenario where the resulting percentage is greater than 100% and involves a decimal base number. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 15 | Math Example--Percents--Equations with Percents: Example 15TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is what percent of 38?" The solution involves setting up the equation 38 * (x / 100) = 9, then solving for x to get x = 9 * (100 / 38), which is approximately 23.68%. This example demonstrates how to calculate a percentage when the first number is smaller than the second, resulting in a percentage less than 100%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 16 | Math Example--Percents--Equations with Percents: Example 16TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "2 is what percent of 55.5?" The solution involves setting up the equation 55.5 * (x / 100) = 2, then solving for x to get x = 2 * (100 / 55.5), which is approximately 3.6036%. This example introduces a scenario where the resulting percentage is a small fraction, less than 5%, and involves a decimal base number. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 17 | Math Example--Percents--Equations with Percents: Example 17TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "8 is what percent of 120?" The solution involves setting up the equation 120 * (x / 100) = 8, then solving for x to get x = 8 * (100 / 120), which is approximately 6.67%. This example demonstrates how to calculate a percentage when dealing with larger whole numbers, resulting in a percentage less than 10%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 18 | Math Example--Percents--Equations with Percents: Example 18TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "3.5 is what percent of 350?" The solution involves setting up the equation 350 * (x / 100) = 3.5, then solving for x to get x = 3.5 * (100 / 350), which equals 1%. This example introduces a scenario where the resulting percentage is a whole number (1%) and involves a decimal number as the first value. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 19 | Math Example--Percents--Equations with Percents: Example 19TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "12 is what percent of 8?" The solution involves setting up the equation 8 * (x / 100) = 12, then solving for x to get x = 12 * (100 / 8), which equals 150%. This example demonstrates how to calculate a percentage when the first number is larger than the second, resulting in a percentage greater than 100%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 2 | Math Example--Percents--Equations with Percents: Example 2TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "What is 7% of 9.5?" The solution involves converting 7% to its decimal equivalent, 0.07, and then multiplying it by 9.5 to obtain the result of 0.665. This example builds upon the previous one by introducing a decimal number as the base value. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 20 | Math Example--Percents--Equations with Percents: Example 20TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "32 is what percent of 1.5?" The solution involves setting up the equation 1.5 * (x / 100) = 32, then solving for x to get x = 32 * (100 / 1.5), which equals 2133.3%. This example introduces a scenario where the resulting percentage is significantly larger than 100% and involves a decimal base number less than 1. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 21 | Math Example--Percents--Equations with Percents: Example 21TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "48 is what percent of 55?" The solution involves setting up the equation 55 * (x / 100) = 48, then solving for x to get x = 48 * (100 / 55), which equals 87.27%. This example demonstrates how to calculate a percentage when the two numbers are relatively close in value, resulting in a percentage close to but less than 100%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 22 | Math Example--Percents--Equations with Percents: Example 22TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "52.2 is what percent of 98.5?" The solution involves setting up the equation 98.5 * (x / 100) = 52.2, then solving for x to get x = 52.2 * (100 / 98.5), which is approximately 52.99%. This example introduces a scenario where both the numerator and denominator are decimal numbers, resulting in a percentage that is also close to the original numerator. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 23 | Math Example--Percents--Equations with Percents: Example 23TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "68 is what percent of 320?" The solution involves setting up the equation 320 * (x / 100) = 68, then solving for x to get x = 68 * (100 / 320), which equals 21.25%. This example demonstrates how to calculate a percentage when dealing with whole numbers, resulting in a percentage that's less than 25%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 24 | Math Example--Percents--Equations with Percents: Example 24TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "75.5 is what percent of 555.25?" The solution involves setting up the equation 555.25 * (x / 100) = 75.5, then solving for x to get x = 75.5 * (100 / 555.25), which is approximately 13.59%. This example introduces a scenario where both the numerator and denominator are decimal numbers, resulting in a percentage that's less than 15%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 25 | Math Example--Percents--Equations with Percents: Example 25TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "125 is what percent of 2?" The solution involves setting up the equation 2 * (x / 100) = 125, then solving for x to get x = 125 * (100 / 2), which equals 6250%. This example demonstrates how to calculate a percentage when the first number is significantly larger than the second, resulting in a percentage well over 100%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 26 | Math Example--Percents--Equations with Percents: Example 26TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 3.5?" The solution involves setting up the equation 3.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 3.5), which equals 8571.43%. This example introduces a scenario where the resulting percentage is extremely large, over 8000%, due to the first number being significantly larger than the small decimal base number. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 27 | Math Example--Percents--Equations with Percents: Example 27TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "278 is what percent of 99?" The solution involves setting up the equation 99 * (x / 100) = 278, then solving for x to get x = 278 * (100 / 99), which equals 280.80%. This example demonstrates how to calculate a percentage when the first number is significantly larger than the second, resulting in a percentage greater than 200%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 28 | Math Example--Percents--Equations with Percents: Example 28TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 75.5?" The solution involves setting up the equation 75.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 75.5), which equals 397.35%. This example introduces a scenario where the resulting percentage is close to 400%, with the first number being significantly larger than the decimal base number. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 29 | Math Example--Percents--Equations with Percents: Example 29TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "400 is what percent of 220?" The solution involves setting up the equation 220 * (x / 100) = 400, then solving for x to get x = 400 * (100 / 220), which equals 181.81%. This example demonstrates how to calculate a percentage when the first number is nearly double the second, resulting in a percentage between 150% and 200%. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 3 | Math Example--Percents--Equations with Percents: Example 3TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 8% of 58?" The solution involves converting 8% to its decimal form, 0.08, and then multiplying it by 58 to arrive at the answer of 4.64. This example introduces a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 30 | Math Example--Percents--Equations with Percents: Example 30TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "333.5 is what percent of 500.25?" The solution involves setting up the equation 500.25 * (x / 100) = 333.5, then solving for x to get x = 333.5 * (100 / 500.25), which is approximately 66.67%. This example introduces a scenario where both numbers are decimals and the resulting percentage is less than 100%, showing how to handle more complex decimal calculations. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 31 | Math Example--Percents--Equations with Percents: Example 31TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 32 | Math Example--Percents--Equations with Percents: Example 32TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 33 | Math Example--Percents--Equations with Percents: Example 33TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 34 | Math Example--Percents--Equations with Percents: Example 34TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 35 | Math Example--Percents--Equations with Percents: Example 35TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "15 is 0.25% of what number?" The solution involves setting up the equation 15 = 0.0025 * x, then solving for x to get x = 15 / 0.0025, which equals 6000. 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. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 36 | Math Example--Percents--Equations with Percents: Example 36TopicSolving Equations DescriptionThis 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. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 37 | Math Example--Percents--Equations with Percents: Example 37TopicSolving Equations DescriptionThis 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. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 38 | Math Example--Percents--Equations with Percents: Example 38TopicSolving Equations DescriptionThis 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. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 39 | Math Example--Percents--Equations with Percents: Example 39TopicSolving Equations DescriptionThis 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. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 4 | Math Example--Percents--Equations with Percents: Example 4TopicSolving Equations DescriptionThis 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. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 40 | Math Example--Percents--Equations with Percents: Example 40TopicSolving Equations DescriptionThis 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. |
Solving Percent Equations | |
Math Example--Percents--Equations with Percents: Example 41 | Math Example--Percents--Equations with Percents: Example 41TopicSolving Equations DescriptionThis 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. |
Solving Percent Equations |