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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 16: Finding Cone Dimensions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Percents-- Equations with Percents: Example 42 Math Example--Percents--Equations with Percents: Example 42 Math Example--Percents--Equations with Percents: Example 42

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.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 5 Math Example--Percents--Equations with Percents: Example 5 Math Example--Percents--Equations with Percents: Example 5

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.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 6 Math Example--Percents--Equations with Percents: Example 6 Math Example--Percents--Equations with Percents: Example 6

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.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 7 Math Example--Percents--Equations with Percents: Example 7 Math Example--Percents--Equations with Percents: Example 7

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.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 8 Math Example--Percents--Equations with Percents: Example 8 Math Example--Percents--Equations with Percents: Example 8

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.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 9 Math Example--Percents--Equations with Percents: Example 9 Math Example--Percents--Equations with Percents: Example 9

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.

Solving Percent Equations
Math Example--Volume Concepts--Calculating Volume: Example 1 Math Example--Volume Concepts--Calculating Volume: Example 1 Math Example--Volume Concepts--Calculating Volume: Example 1

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 10 Math Example--Volume Concepts--Calculating Volume: Example 10 Math Example--Volume Concepts--Calculating Volume: Example 10

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 11 Math Example--Volume Concepts--Calculating Volume: Example 11 Math Example--Volume Concepts--Calculating Volume: Example 11

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 12 Math Example--Volume Concepts--Calculating Volume: Example 12 Math Example--Volume Concepts--Calculating Volume: Example 12

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 13 Math Example--Volume Concepts--Calculating Volume: Example 13 Math Example--Volume Concepts--Calculating Volume: Example 13

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 14 Math Example--Volume Concepts--Calculating Volume: Example 14 Math Example--Volume Concepts--Calculating Volume: Example 14

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 15 Math Example--Volume Concepts--Calculating Volume: Example 15 Math Example--Volume Concepts--Calculating Volume: Example 15

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 16 Math Example--Volume Concepts--Calculating Volume: Example 16 Math Example--Volume Concepts--Calculating Volume: Example 16

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 17 Math Example--Volume Concepts--Calculating Volume: Example 17 Math Example--Volume Concepts--Calculating Volume: Example 17

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 18 Math Example--Volume Concepts--Calculating Volume: Example 18 Math Example--Volume Concepts--Calculating Volume: Example 18

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 19 Math Example--Volume Concepts--Calculating Volume: Example 19 Math Example--Volume Concepts--Calculating Volume: Example 19

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 2 Math Example--Volume Concepts--Calculating Volume: Example 2 Math Example--Volume Concepts--Calculating Volume: Example 2

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 20 Math Example--Volume Concepts--Calculating Volume: Example 20 Math Example--Volume Concepts--Calculating Volume: Example 20

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 21 Math Example--Volume Concepts--Calculating Volume: Example 21 Math Example--Volume Concepts--Calculating Volume: Example 21

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 22 Math Example--Volume Concepts--Calculating Volume: Example 22 Math Example--Volume Concepts--Calculating Volume: Example 22

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 23 Math Example--Volume Concepts--Calculating Volume: Example 23 Math Example--Volume Concepts--Calculating Volume: Example 23

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 24 Math Example--Volume Concepts--Calculating Volume: Example 24 Math Example--Volume Concepts--Calculating Volume: Example 24

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 3 Math Example--Volume Concepts--Calculating Volume: Example 3 Math Example--Volume Concepts--Calculating Volume: Example 3

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 4 Math Example--Volume Concepts--Calculating Volume: Example 4 Math Example--Volume Concepts--Calculating Volume: Example 4

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 5 Math Example--Volume Concepts--Calculating Volume: Example 5 Math Example--Volume Concepts--Calculating Volume: Example 5

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 6 Math Example--Volume Concepts--Calculating Volume: Example 6 Math Example--Volume Concepts--Calculating Volume: Example 6

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 7 Math Example--Volume Concepts--Calculating Volume: Example 7 Math Example--Volume Concepts--Calculating Volume: Example 7

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 8 Math Example--Volume Concepts--Calculating Volume: Example 8 Math Example--Volume Concepts--Calculating Volume: Example 8

This is part of a collection of math examples that focus on volume.

Volume
Math Example--Volume Concepts--Calculating Volume: Example 9 Math Example--Volume Concepts--Calculating Volume: Example 9 Math Example--Volume Concepts--Calculating Volume: Example 9

This is part of a collection of math examples that focus on volume.

Volume
Math Example: Algebra Tiles: Example 1 Math Example: Algebra Tiles: Example 1 Math Example: Algebra Tiles: Example 1

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the addition of 7 and 12 using algebra tiles. Two groups of yellow tiles, one with 7 tiles and another with 12 tiles, are combined to show a total of 19 tiles. This visual representation helps students understand the concept of addition with positive integers.

Numerical Expressions
Math Example: Algebra Tiles: Example 10 Math Example: Algebra Tiles: Example 10 Math Example: Algebra Tiles: Example 10

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the subtraction of 5 from -3 using algebra tiles. The image shows 3 red tiles representing -3, and 5 yellow tiles are added to create zero pairs. After removing the zero pairs, 2 additional red tiles remain, illustrating that -3 - 5 = -8.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 11 Math Example: Algebra Tiles: Example 11 Math Example: Algebra Tiles: Example 11

Topic

Numerical and Algebraic Expressions

Description

This example illustrates the subtraction of -3 from -8 using algebra tiles. The image shows 8 red tiles representing -8, and 3 red tiles are removed to demonstrate the subtraction of -3. The result is 5 red tiles, visually showing that -8 - (-3) = -5.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 12 Math Example: Algebra Tiles: Example 12 Math Example: Algebra Tiles: Example 12

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the subtraction of -6 from -4 using algebra tiles. The image shows 4 red tiles representing -4, and 6 yellow tiles are added to form zero pairs. After removing these pairs, 2 yellow tiles remain, illustrating that -4 - (-6) = 2.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 13 Math Example: Algebra Tiles: Example 13 Math Example: Algebra Tiles: Example 13

Topic

Numerical and Algebraic Expressions

Description

This example illustrates the subtraction of -7 from -7 using algebra tiles. The image shows 7 red tiles representing -7, and 7 red tiles are removed to demonstrate the subtraction of -7. The result is zero tiles remaining, visually showing that -7 - (-7) = 0.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 14 Math Example: Algebra Tiles: Example 14 Math Example: Algebra Tiles: Example 14

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation x + 3 = 5 using algebra tiles. The image shows green tiles representing the variable x, yellow tiles representing positive integers, and red tiles representing negative integers. By creating zero pairs and isolating the variable, the solution x = 2 is visually represented.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 15 Math Example: Algebra Tiles: Example 15 Math Example: Algebra Tiles: Example 15

Topic

Numerical and Algebraic Expressions

Description

This example illustrates solving the equation x + 4 = 2 using algebra tiles. The image shows green tiles representing the variable x, yellow tiles representing positive integers, and red tiles representing negative integers. By manipulating the tiles and creating zero pairs, the solution x = -2 is visually demonstrated.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 16 Math Example: Algebra Tiles: Example 16 Math Example: Algebra Tiles: Example 16

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation x + 5 = 5 using algebra tiles. The image shows green tiles representing the variable x, and yellow tiles representing positive integers. By manipulating the tiles, students can visually see that x = 0.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 17 Math Example: Algebra Tiles: Example 17 Math Example: Algebra Tiles: Example 17

Topic

Numerical and Algebraic Expressions

Description

This example illustrates solving the equation x + (-2) = 5 using algebra tiles. The image shows green tiles representing the variable x, yellow tiles representing positive integers, and red tiles representing negative integers. By strategically moving pieces and creating zero pairs, students can visually determine that x = 7.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 18 Math Example: Algebra Tiles: Example 18 Math Example: Algebra Tiles: Example 18

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation x + 3 = -2 using algebra tiles. The image shows green tiles representing the variable x, yellow tiles representing positive integers, and red tiles representing negative integers. By manipulating the tiles and creating zero pairs, students can visually see that x = -5.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 19 Math Example: Algebra Tiles: Example 19 Math Example: Algebra Tiles: Example 19

Topic

Numerical and Algebraic Expressions

Description

This example illustrates solving the equation x + (-4) = -1 using algebra tiles. The image shows green tiles representing the variable x, yellow tiles representing positive integers, and red tiles representing negative integers. By manipulating the tiles and creating zero pairs, students can visually determine that x = 3.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 2 Math Example: Algebra Tiles: Example 2 Math Example: Algebra Tiles: Example 2

Topic

Numerical and Algebraic Expressions

Description

This example illustrates the addition of 6 and -3 using algebra tiles. It shows 6 yellow tiles representing positive integers and 3 red tiles representing negative integers. After removing zero pairs (one yellow tile cancels out one red tile), the result is 3 yellow tiles, demonstrating that 6 + (-3) = 3.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 20 Math Example: Algebra Tiles: Example 20 Math Example: Algebra Tiles: Example 20

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation x + (-2) = -6 using algebra tiles. The image shows green tiles representing the variable x, yellow tiles representing positive integers, and red tiles representing negative integers. By manipulating the tiles and creating zero pairs, students can visually see that x = -4.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 21 Math Example: Algebra Tiles: Example 21 Math Example: Algebra Tiles: Example 21

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation x+(-5) = -5 using algebra tiles. The image depicts green tiles representing the variable x, red tiles representing negative integers, and yellow tiles representing positive integers. By manipulating these tiles, students can visually see that x = 0.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 22 Math Example: Algebra Tiles: Example 22 Math Example: Algebra Tiles: Example 22

This is part of a collection of math examples that use algebra tiles. This includes modeling integers, sums, differences, and equations.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 23 Math Example: Algebra Tiles: Example 23 Math Example: Algebra Tiles: Example 23

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation 3x + 3 = x + 1 using algebra tiles. The image shows green bars representing the variable x, yellow squares representing positive constants, and red squares representing negative constants. After removing common terms and adding red squares to balance the equation, students can visually see that x = -1.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 24 Math Example: Algebra Tiles: Example 24 Math Example: Algebra Tiles: Example 24

Topic

Numerical and Algebraic Expressions

Description

This example illustrates solving the equation 3x + 2 = x + 2 using algebra tiles. The image shows green bars representing the variable x and yellow squares representing constants. After removing common terms from both sides, students can visually see that 2x = 0, leading to the solution x = 0.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 25 Math Example: Algebra Tiles: Example 25 Math Example: Algebra Tiles: Example 25

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation 4x + (-2) = x + 3 using algebra tiles. The image shows green bars representing the variable x, yellow squares representing positive constants, and red squares representing negative constants. By eliminating common terms and zero pairs, students can visually determine the solution.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 26 Math Example: Algebra Tiles: Example 26 Math Example: Algebra Tiles: Example 26

Topic

Numerical and Algebraic Expressions

Description

This example illustrates solving the equation 3x + 4 = x + (-2) using algebra tiles. The image shows green bars representing the variable x, yellow squares representing positive constants, and red squares representing negative constants. By eliminating common terms and zero pairs, students can visually determine the solution.

Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 27 Math Example: Algebra Tiles: Example 27 Math Example: Algebra Tiles: Example 27

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation 4x + (-3) = x + (-2) using algebra tiles. The image shows green bars representing the variable x, yellow squares representing positive constants, and red squares representing negative constants. By eliminating common terms and zero pairs, students can visually determine the solution.

Algebra Tiles--Expressions and Equations