Illustrative Math Alignment: Grade 8 Unit 2
Dilations, Similarity, and Introducing Slope
Lesson 10: Meet Slope
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 32 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 32TopicAdding Decimals DescriptionThis example illustrates the addition of 0.3 and 1.7 using a number line. Students are guided to add the digits in the tenths place, resulting in 2.0. The process demonstrates regrouping by carrying 1 to the ones place and adding it to the existing 1 in the ones place. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 33 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 33TopicAdding Decimals DescriptionThis example demonstrates the addition of 0.2 and 1.8 using a number line and column addition setup. Students are guided to add the digits in the tenths place, resulting in 2.0. The process illustrates regrouping by carrying 1 to the ones place and adding it to the existing 1 in the ones place. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 34 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 34TopicAdding Decimals DescriptionThis example showcases the addition of 0.1 and 1.9 using a number line and column addition setup. Students are guided to add the digits in the tenths place, resulting in 2.0. The process demonstrates regrouping by carrying 1 to the ones place and adding it to the existing 1 in the ones place. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 4 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 4TopicAdding Decimals DescriptionThis example showcases the addition of 0.4 and 0.6 using a number line. Students are guided to add the digits in the tenths place, then regroup by carrying 1 to the ones place, resulting in a sum of 1.0. The visual representation helps reinforce the concept of regrouping in decimal addition. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 5 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 5TopicAdding Decimals DescriptionThis example illustrates the addition of 0.5 and 0.5 using a number line and a place value chart. Students are guided to add the digits in the tenths place, resulting in 1.0. The process demonstrates regrouping by putting 0 in the tenths place and carrying 1 to the ones place. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 6 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 6TopicAdding Decimals DescriptionThis example demonstrates the addition of 0.6 and 0.5 using a number line and a place value chart. Students are guided to add the digits in the tenths place, resulting in 1.1. The process illustrates regrouping by putting 1 in the tenths place and carrying 1 to the ones place. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 7 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 7TopicAdding Decimals DescriptionThis example illustrates the addition of 0.4 and 0.7 using a number line and a place value chart. Students are guided to add the digits in the tenths place, resulting in 1.1. The process demonstrates regrouping by putting 1 in the tenths place and carrying 1 to the ones place. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 8 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 8TopicAdding Decimals DescriptionThis example demonstrates the addition of 0.3 and 0.8 using a number line and a place value chart. Students are guided to add the digits in the tenths place, resulting in 1.1. The process illustrates regrouping by putting 1 in the tenths place and carrying 1 to the ones place. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 9 | Math Example--Decimal Concepts--Adding Decimals to the Tenths (With Regrouping)--Example 9TopicAdding Decimals DescriptionThis example showcases the addition of 0.2 and 0.9 using a number line from 0 to 20. Students are guided to add the digits in the tenths place, then regroup by carrying 1 to the ones place, resulting in a sum of 1.1. The visual representation helps reinforce the concept of regrouping in decimal addition. |
Add and Subtract Decimals and Place Value |
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Math Example--Decimal Concepts--Adding Decimals: Example 1 | Math Example--Decimal Concepts--Adding Decimals: Example 1TopicAdding Decimals |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 10 | Math Example--Decimal Concepts--Adding Decimals: Example 10TopicAdding Decimals DescriptionThis example illustrates the addition of two decimals, 0.728 and 0.476, with the numbers aligned by the decimal point and carries shown above the columns. It demonstrates the process of adding decimals with three decimal places, emphasizing the importance of proper alignment and carrying over when necessary. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 11 | Math Example--Decimal Concepts--Adding Decimals: Example 11TopicAdding Decimals DescriptionThe image shows an example of adding two decimals, 2.125 and 4.386, using column addition. The numbers are aligned by the decimal point, and carries are indicated above the columns. This example demonstrates the process of adding decimals with different whole number parts and three decimal places, reinforcing place value concepts and the importance of proper alignment. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 12 | Math Example--Decimal Concepts--Adding Decimals: Example 12TopicAdding Decimals DescriptionThe image displays an example of adding decimals, specifically 5.747 and 3.529, using column addition with decimal alignment and carries above the columns. This example showcases the process of adding decimals with different whole number parts and three decimal places, emphasizing the importance of proper alignment and carrying over when necessary. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 2 | Math Example--Decimal Concepts--Adding Decimals: Example 2TopicAdding Decimals DescriptionThis example showcases the addition of 0.7 and 0.5 using column addition, demonstrating the process of carrying over when the sum in the tenths column exceeds 10. The problem highlights the importance of proper decimal point alignment and introduces the concept of regrouping in decimal addition. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 3 | Math Example--Decimal Concepts--Adding Decimals: Example 3TopicAdding Decimals DescriptionThis example illustrates the addition of 1.2 and 1.5 using column addition, emphasizing the importance of properly aligning decimal points. The problem demonstrates how to add numbers with different decimal places, reinforcing the concept that the decimal point acts as a placeholder for place value in fractional parts. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 4 | Math Example--Decimal Concepts--Adding Decimals: Example 4TopicAdding Decimals DescriptionThis example demonstrates the addition of 1.6 and 1.7 using column addition. It emphasizes the crucial steps of aligning the decimal points and carrying over when needed. The problem showcases how to handle addition when the sum in a column exceeds 9, requiring regrouping to the next place value. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 5 | Math Example--Decimal Concepts--Adding Decimals: Example 5TopicAdding Decimals DescriptionThis example illustrates the addition of 0.27 and 0.54 using column addition. It emphasizes the importance of aligning decimal points and demonstrates how to add numbers with two decimal places. The problem showcases the process of adding tenths and hundredths, reinforcing place value concepts in decimal addition. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 6 | Math Example--Decimal Concepts--Adding Decimals: Example 6TopicAdding Decimals DescriptionThis example demonstrates the addition of 0.86 and 0.79 using column addition. It highlights the process of aligning decimal points and carrying over when needed. The problem showcases how to handle addition when the sum in the hundredths column exceeds 9, requiring regrouping to the tenths place. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 7 | Math Example--Decimal Concepts--Adding Decimals: Example 7TopicAdding Decimals DescriptionThis example illustrates the addition of 1.23 and 2.39 using column addition. It emphasizes the importance of aligning decimal points and demonstrates how to add numbers with different whole number parts and two decimal places. The problem showcases the process of adding ones, tenths, and hundredths, reinforcing place value concepts in decimal addition. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 8 | Math Example--Decimal Concepts--Adding Decimals: Example 8TopicAdding Decimals DescriptionThis example demonstrates the addition of 1.78 and 4.82 using column addition. It highlights the process of aligning decimal points and carrying over when needed. The problem showcases how to handle addition when the sum in both the hundredths and tenths columns exceeds 9, requiring multiple instances of regrouping. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Adding Decimals: Example 9 | Math Example--Decimal Concepts--Adding Decimals: Example 9TopicAdding Decimals DescriptionThis example illustrates the addition of 0.135 and 0.376 using column addition. It emphasizes the importance of aligning decimal points and demonstrates how to add numbers with three decimal places. The problem showcases the process of adding tenths, hundredths, and thousandths, further reinforcing place value concepts in decimal addition. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 1 | Math Example--Decimal Concepts--Subtracting Decimals: Example 1TopicDecimals DescriptionThis example demonstrates how to subtract decimals using column subtraction. The problem presented is 0.8 - 0.2. The solution emphasizes the importance of aligning decimal points when performing the subtraction. By following this method, students can easily solve the problem and arrive at the correct answer of 0.6. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 2 | Math Example--Decimal Concepts--Subtracting Decimals: Example 2TopicDecimals DescriptionThis example illustrates the process of subtracting decimals using column subtraction. The problem presented is 1.7 - 1.5. The solution emphasizes the importance of aligning decimal points when performing the subtraction. By following this method, students can easily solve the problem and arrive at the correct answer of 0.2. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 3 | Math Example--Decimal Concepts--Subtracting Decimals: Example 3TopicDecimals DescriptionThis example demonstrates the process of subtracting decimals with regrouping. The problem presented is 2.8 - 1.9. The solution involves borrowing (regrouping) from the units place, effectively turning 2.8 into 1.18. By following this method and aligning the decimal points, students can solve the problem and arrive at the correct answer of 0.9. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 4 | Math Example--Decimal Concepts--Subtracting Decimals: Example 4TopicDecimals DescriptionThis example illustrates the process of subtracting decimals without the need for regrouping. The problem presented is 0.77 - 0.53. The solution emphasizes the importance of aligning decimal points when performing the subtraction. By following this method and using simple column subtraction, students can easily solve the problem and arrive at the correct answer of 0.24. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 5 | Math Example--Decimal Concepts--Subtracting Decimals: Example 5TopicDecimals DescriptionThis example demonstrates the process of subtracting decimals with regrouping. The problem presented is 2.86 - 1.97. The solution involves aligning the decimal points and performing column subtraction, with regrouping (borrowing) when necessary. By following this method, students can solve the problem step-by-step and arrive at the correct answer of 0.89. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 6 | Math Example--Decimal Concepts--Subtracting Decimals: Example 6TopicDecimals DescriptionThis example illustrates the process of subtracting decimals with regrouping in multiple place values. The problem presented is 4.71 - 3.85. The solution demonstrates how to align the decimal points and perform column subtraction, with regrouping (borrowing) in both the tenths and hundredths places. By following this method, students can solve the problem step-by-step and arrive at the correct answer of 0.86. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 7 | Math Example--Decimal Concepts--Subtracting Decimals: Example 7TopicDecimals DescriptionThis example demonstrates the process of subtracting decimals with different numbers of decimal places. The problem presented is 0.52 - 0.326. The solution involves aligning the decimal points, adding zeros as placeholders, and performing column subtraction with regrouping in the hundredths place. By following this method, students can solve the problem step-by-step and arrive at the correct answer of 0.194. |
Add and Subtract Decimals |
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Math Example--Decimal Concepts--Subtracting Decimals: Example 8 | Math Example--Decimal Concepts--Subtracting Decimals: Example 8TopicDecimals DescriptionThis example illustrates the process of subtracting decimals with different numbers of decimal places and multiple regrouping steps. The problem presented is 0.548 - 0.27. The solution involves aligning the decimal points, adding a zero as a placeholder, and performing column subtraction with regrouping in both the tenths and hundredths places. By following this method, students can solve the problem step-by-step and arrive at the correct answer of 0.278. |
Add and Subtract Decimals |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 1 | Multiplying Fractions with Whole Numbers--Example 1TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 2 | Multiplying Fractions with Whole Numbers--Example 2TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 3 | Multiplying Fractions with Whole Numbers--Example 3TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 4 | Multiplying Fractions with Whole Numbers--Example 4TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 5 | Multiplying Fractions with Whole Numbers--Example 5TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 1 | Multiplying Fractions: Example 1TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 10 | Multiplying Fractions: Example 10TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 11 | Multiplying Fractions: Example 11TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 12 | Multiplying Fractions: Example 12TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 13 | Multiplying Fractions: Example 13TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 14 | Multiplying Fractions: Example 14TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 15 | Multiplying Fractions: Example 15TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 2 | Multiplying Fractions: Example 2TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 3 | Multiplying Fractions: Example 3TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 4 | Multiplying Fractions: Example 4TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 5 | Multiplying Fractions: Example 5TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 6 | Multiplying Fractions: Example 6TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 7 | Multiplying Fractions: Example 7TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 8 | Multiplying Fractions: Example 8TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions: Example 9 | Multiplying Fractions: Example 9TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: The Slope As Rise Over Run: Three Examples | In this set of math examples, see how slope is calculated for a staircase based on measures for the rise and the run. |
Slope |
