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Use counting on to add

Counting on represents addition as increasing a known quantity by a specified number of units. For sums within 20, the learner can start with one addend, typically the greater, and identify the result by moving forward the number of units in the other addend; a number line makes this relationship visible and distinguishes counting on from recounting the entire collection. This understanding supports mental addition and later place-value strategies.

Detailed Explanation: Use counting on to add

Counting on means starting with one number and moving forward the other number of steps. It is helpful to start with the greater number.

Example: 8+38+3

  1. Start at 88.
  2. Count on 33 steps:
    • 1 step: 99
    • 2 steps: 1010
    • 3 steps: 1111
  3. You land on 1111.

On a number line:

8→9→10→118 \rightarrow 9 \rightarrow 10 \rightarrow 11

So,

8+3=118+3=11

You do not need to count all the way from 11. Start at 88 and count on 33.

Learn by doing: Use counting on to add

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Number Line - Addition Positive Integers, Equation to Movement Image


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