Illustrative Math Alignment: Grade 6 Unit 1

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.6 and 0.3 using a number line, illustrating the movement from 0.6 to 0.9. The visual representation helps students understand how to count from the greater number when adding decimals to the tenths. This method reinforces the concept of decimal place value and shows how to add digits in the tenths place, resulting in a sum of 0.9 without the need for regrouping.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.3 and 0.6 using a number line, showing the movement from 0.6 to 0.9. The visual representation helps students understand how to count from the greater number when adding decimals to the tenths. This method reinforces the concept of decimal place value and demonstrates how to add digits in the tenths place, resulting in a sum of 0.9 without the need for regrouping.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.5 and 0.4 using a number line from 0 to 9, with a hand pointing at 5 and an indication of motion to 9 to indicate the sum. The visual representation helps students understand how to count from the greater number when adding decimals to the tenths. This method reinforces the concept of decimal place value and shows how to add digits in the tenths place, resulting in a sum of 0.9 without the need for regrouping.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.4 and 0.5 using a number line from 0 to 9, with a hand pointing at 5 with movement to 9 to indicate the sum. The visual representation helps students understand how to count from the greater number when adding decimals to the tenths. This method reinforces the concept of decimal place value and shows how to add digits in the tenths place, resulting in a sum of 0.9 without the need for regrouping.

Topic

Adding Decimals

Description

This example illustrates how to add decimals like 0.1 and 0.3 using a number line. Through using number lines and column techniques, students grasp decimal addition. The image shows a math example of adding decimals: 0.1 + 0.3, with a number line highlighting the point at 0.4. This visual representation helps students understand how to count from the greater number and add digits in the tenths place.

Topic

Adding Decimals

Description

This example illustrates how to add decimals like 0.3 and 0.1 using a number line. Through using number lines and column techniques, students grasp decimal addition. The image shows a math problem involving adding decimals: 0.3 + 0.1, with a number line and a finger pointing at 4, indicating the sum. This visual approach helps students understand how to count from the greater number when adding decimals.

Topic

Adding Decimals

Description

This example illustrates how to add decimals like 0.1 and 0.4 using a number line. Through using number lines and column techniques, students grasp decimal addition. The image shows a math problem involving adding decimals: 0.1 + 0.4, with a number line and a finger pointing at 5, indicating the sum. This visual method helps students understand how to count from the greater number when adding decimals to the tenths.

Topic

Adding Decimals

Description

This example illustrates how to add decimals like 0.4 and 0.1 using a number line. Through using number lines and column techniques, students grasp decimal addition. The image shows a math problem involving adding decimals: 0.4 + 0.1, with a number line and a finger pointing at 5, indicating the sum. This visual approach helps students understand how to count from the greater number when adding decimals to the tenths.

Topic

Adding Decimals

Description

This example illustrates how to add decimals like 0.1 and 0.5 using a number line. Through using number lines and column techniques, students grasp decimal addition. The image shows a math problem involving adding decimals: 0.1 + 0.5, with a number line and a finger pointing at 6, indicating the sum. This visual method helps students understand how to count from the greater number when adding decimals to the tenths.

Topic

Adding Decimals

Description

This example illustrates how to add decimals like 0.5 and 0.1 using a number line. Through using number lines and column techniques, students grasp decimal addition. The image demonstrates adding 0.5 and 0.1 with a number line, showing movement from 5 to 6. This visual representation helps students understand how to count from the greater number and add digits in the tenths place, resulting in a sum of 0.6.

Topic

Adding Decimals

Description

This example demonstrates the process of adding decimals to the tenths place with regrouping. The image illustrates how to add 0.1 and 0.9 using a number line and place value chart. Students are guided to add the digits in the tenths place, then regroup and carry 1 to the ones place, resulting in a sum of 1.0.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.6 and 0.6 using a number line from 0 to 20. Students are guided to add the digits in the tenths place, resulting in 1.2. The process demonstrates regrouping by carrying 1 to the ones place and keeping 2 in the tenths place.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.5 and 0.7 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 1.2. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.4 and 0.8 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 1.2. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.3 and 0.9 using a number line. Students are guided to add the digits in the tenths place, resulting in 1.2. The process illustrates regrouping by putting 2 in the tenths place and carrying 1 to the ones place. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example showcases the addition of 0.7 and 0.6 using a number line and place value columns. 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 1.3. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.5 and 0.8 using a number line from 0 to 20 and place value columns. Students are guided to add the digits in the tenths place, then regroup by putting 3 in the tenths place and carrying 1 to the ones place, resulting in a sum of 1.3. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.4 and 0.9 using a number line and place value columns. 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 1.3. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.7 and 0.7 using a number line and column addition. Students are guided to add the digits in the tenths place, resulting in 1.4. The process demonstrates regrouping by putting 4 in the tenths place and carrying 1 to the ones place. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.6 and 0.8 using a number line and column addition. Students are guided to add the digits in the tenths place, resulting in 1.4. The process illustrates regrouping by putting 4 in the tenths place and carrying 1 to the ones place. The visual representation helps reinforce the concept of regrouping in decimal addition.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.5 and 0.9 using a number line and a column addition method. Students are guided to add the digits in the tenths place, resulting in 1.4. The process demonstrates regrouping by putting 4 in the tenths place and carrying 1 to the ones place.

Topic

Adding Decimals

Description

This example showcases the addition of 0.2 and 0.8 using a number line and place value chart. 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.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.8 and 0.7 using a number line and a column method. Students are guided to add the digits in the tenths place, resulting in 1.5. The process illustrates regrouping by putting 5 in the tenths place and carrying 1 to the ones place.

Topic

Adding Decimals

Description

This example showcases the addition of 0.6 and 0.9 using a number line. Students are guided to add the digits in the tenths place, resulting in 1.5. The process demonstrates regrouping by putting 5 in the tenths place and carrying 1 to the ones place.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.8 and 0.8 using a number line. Students are guided to add the digits in the tenths place, resulting in 1.6. The process demonstrates regrouping by putting 6 in the tenths place and carrying 1 to the ones place.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.7 and 0.9 using a number line. Students are guided to add the digits in the tenths place, resulting in 1.6. The process illustrates regrouping by putting 6 in the tenths place and carrying 1 to the ones place.

Topic

Adding Decimals

Description

This example showcases the addition of 0.8 and 0.9 using a number line. Students are guided to add the digits in the tenths place, resulting in 1.7. The process demonstrates regrouping by putting 7 in the tenths place and carrying 1 to the ones place.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.9 and 0.9 using a number line. Students are guided to add the digits in the tenths place, resulting in 1.8. The process demonstrates regrouping by putting 8 in the tenths place and carrying 1 to the ones place.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.9 and 1.1 using a number line. 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.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.8 and 1.2 using a number line. 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.

Topic

Adding Decimals

Description

This example showcases the addition of 0.7 and 1.3 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.

Topic

Adding Decimals

Description

This example illustrates the addition of 0.6 and 1.4 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.

Topic

Adding Decimals

Description

This example demonstrates the process of adding decimals to the tenths place with regrouping. The image illustrates how to add 0.3 and 0.7 using a number line. Students are guided to add the digits in the tenths place, then regroup and carry 1 to the ones place, resulting in a sum of 1.0.

Topic

Adding Decimals

Description

This example demonstrates the addition of 0.5 and 1.5 using a number line. 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.

Topic

Adding Decimals

Description

This example showcases the addition of 0.4 and 1.6 using a number line. Students are guided to add the digits in the ones place first, resulting in 2.0. The process demonstrates regrouping by carrying 1 to the tens place, although this step is not necessary in this case.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

The 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.

Topic

Adding Decimals

Description

The 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.

Topic

Adding Decimals

Description

This 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.

Topic

Adding Decimals

Description

This 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.