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Everyday Mathematics Partial-Sums Addition

Everyday Mathematics Partial-Sums Addition. Partial-Sums Addition. Partial-sums addition involves: Understanding place value; Finding partial sums; and Adding partial sums to get the final answer. Everyday Mathematics. Partial-Sums Addition. Solve: 634 + 918

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Everyday Mathematics Partial-Sums Addition

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  1. Everyday MathematicsPartial-Sums Addition

  2. Partial-Sums Addition • Partial-sums addition involves: • Understanding place value; • Finding partial sums; and • Adding partial sums to get the final answer. Everyday Mathematics

  3. Partial-Sums Addition • Solve: 634 + 918 • We begin by thinking of the expanded notationfor the numbers being added. • 634 = 600 + 30 + 4 • 918 = 900 + 10 + 8 • With partial-sums addition,we can start from the right or • the left. Children often prefer to start from the greatest • place-value position. Everyday Mathematics

  4. Partial-Sums Addition First we add the hundreds. 634 + 918 600 + 900 = 1,500 The numbers written in blue show our thinking and the numbers written in blackshow what we write to solve the problem. Everyday Mathematics

  5. Partial-Sums Addition • Next we add the tens. • 634 • + 918 • 600 + 900 =1,500 • 30 + 10 =40 Everyday Mathematics

  6. Partial-Sums Addition Then we add the ones. 634 + 918 600 + 900 = 1,500 30 + 10 = 40 4 + 8 = 12 Everyday Mathematics

  7. Partial-Sums Addition • Finally, we add the partial sums to find • the answer. • 634 • + 918 • 1,500 • 634 + 918 = 1,552 • 40 • + 12 • 1,552 634+918=1552 Everyday Mathematics

  8. Partial-Sums Addition • When children use partial-sums addition, they practice skills • related to number sense and algebraic reasoning. For example: • Understanding and using place value; • Thinking about numbers in expanded notation; and • Using addition fact extensions such as 600 + 900 = 1,500. • If children work from left to right, which is generally their • inclination, they begin the problem-solving process with a • reasonable estimate of what the final answer should be. • Everyday Mathematics

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