👣 Counting On and Counting Back

What you’ll learn

1. Counting On to AddAdd small numbers by starting at one number and counting on, like 8 + 3 = 9, 10, 11.Counting on means keeping the first number in your head and hopping forward from there. For 8 + 3, start at 8 and count 9, 10, 11 — the last number is the answer. Fingers or a number line can track the hops, and you never re-count the starting number.
2. Counting Back to SubtractSubtract small numbers by counting back, like 12 − 3 = 11, 10, 9.To subtract, start at the big number and hop backwards once for each one you take away. For 12 − 3, the hops are 11, 10, 9, so the answer is 9. The most common mistake is counting the starting number — your first count comes after you leave it.
3. Pick the Best StartChoose the bigger number to count on from, and know when counting works best (small hops of 1, 2, or 3).Since adding works in any order, always start from the bigger number: 2 + 9 becomes 9 + 2, just two hops. Counting on and back shine when the hop is small — 1, 2, or 3. For bigger jumps, strategies like making ten are faster, so smart mathematicians pick the right tool.

Questions this course answers

Grounded in trusted sources

• PBS Kids — early math
• Khan Academy Kids
• NAEYC — early math learning

Every Wunder lesson is built from real, reputable sources — never invented.

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