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In this lesson you will solve addition problems by using the partial sums method.

Natalie went to visit her relatives. First, she traveled 1,367 miles to visit her Aunt in Colorado and then she drove 682 miles to get to her Grandma’s house in Iowa. How many miles did she travel in all? . In this lesson you will solve addition problems by using the partial sums method. .

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In this lesson you will solve addition problems by using the partial sums method.

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  1. Natalie went to visit her relatives. First, she traveled 1,367 miles to visit her Aunt in Colorado and then she drove 682 miles to get to her Grandma’s house in Iowa. How many miles did she travel in all?

  2. In this lesson you will solve addition problems by using the partial sums method.

  3. Numbers can be written in expanded form to show the value of each digit. 529 - 500 + 20 + 9 2,086 - 2,000 + 80 + 6 3,121 -

  4. A common mistake is to add parts of numbers with different place values. 529 + 2,086 = 500 + 200 0

  5. Partial Sums method means breaking numbers down into expanded form and adding like values. 729 + 243 = 700 + 20 + 9 200 + 40 + 3 900 + 60 + 12 = 972

  6. Natalie went to visit her relatives. First, she traveled 1,367 miles to visit her Aunt in Colorado and then she drove 682 miles to get to her Grandma’s house in Iowa. How many miles did she travel in all? She traveled 2,049 miles in all. 1,367 + 682 = 2,049 1,000 + 140 + 9 = 900 + 300 600 60 80 7 2 1,000

  7. In this lesson you have learned how to solve addition problems by using the partial sums method.

  8. Use the partial sums method to solve 561 + 298. 500 + 60 + 1 200 + 90 + 8 700 + 150 + 9 = 859

  9. For students who master the partial sums method you can set up problems backwards and have them fill in the addends. Give students just enough information about the sum and the parts that they are able to fill in the rest using deductive reasoning.

  10. Partial sums can be used to solve problems using numbers in the tens to numbers in the millions and beyond. Problems can be adjusted to the ability level of students, and grid paper is a useful scaffold, especially when using more than two addends.

  11. Use the partial sums method to solve 1,235 + 375. Use the partial sums method to find the answer to 671 + 782.

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