Skip Counting

Counting by 2s, 5s, and 10s. The seed of multiplication.

What we're learning

That you can count without saying every number in between
The skip-counting sequences for 2, 5, and 10
Why these three feel easier than skip-counting by 3 or 4

Why skip counting is the secret prerequisite

Most parents don't notice this connection, but: a child who can fluently say "2, 4, 6, 8, 10, 12, 14, 16…" out loud is doing exactly what they'll later do when they multiply 2 × 8. The mental motion is the same. The vocabulary just hasn't shown up yet.

If you can teach skip counting now (Grade 2), the times tables come almost for free in Grade 3.

The three sequences worth knowing cold

By 2s:   2, 4, 6, 8, 10, 12, 14, 16, 18, 20…
By 5s:   5, 10, 15, 20, 25, 30, 35, 40, 45, 50…
By 10s:  10, 20, 30, 40, 50, 60, 70, 80, 90, 100…

By 10s is easiest because the digits just go up: 10, 20, 30… You're literally counting in the tens place.

By 5s feels musical because every number ends in 5 or 0. Your child can hear the rhythm.

By 2s is the hardest of the three. The pattern is "+2 each time" but the words don't visually rhyme — six, eight, ten — so the brain has to keep a running tally instead of pattern-matching syllables.

Try it together

Round 1: chant. Walk around the house. Each step, say the next number in a skip sequence. "10. 20. 30. 40." Switch sequences (5s, 2s) on different walks. Even 90 seconds a day adds up fast.

Round 2: pile-of-things. Get 20 small objects. Put them in pairs (groups of 2). Then count BY twos to find the total: "2, 4, 6, 8, 10…". Compare with counting by ones — it's faster, and it's right.

Round 3: physical pattern. On graph paper, color in every other square in a row of 20. Skip-count by 2s along the colored squares. Now color every fifth square in a fresh row, skip-count by 5s. Now every tenth — count by 10s. The visual rhythm makes the pattern feel inevitable.

Watch for

Counting by twos but starting at 1. "1, 3, 5, 7, 9…" is also skip counting (by 2s starting from 1) but it's NOT what we usually mean. We mean even numbers: "2, 4, 6, 8, 10." Be specific about the starting number.
Memorizing the sequence without understanding the pattern. A child who recites "2, 4, 6…" but freezes when asked "what's the next number after 12?" hasn't internalized the +2 rule yet. Pause, ask them to count up by 2 from 12, see if they can.
Skipping the connection to grouping. Skip counting on its own is a parlor trick. Tied to physical groups (4 piles of 5 cookies → count 5, 10, 15, 20 → 20 cookies) it becomes the lever for multiplication. Always tie back to objects.

Where this is going

Next lesson: multiplication-as-repeated-addition. The big reframe: 3 + 3 + 3 + 3 (four 3s) is the same as "4 groups of 3" — and it's also what 4 × 3 will mean. Skip counting by 3s starting at 0 produces those same numbers: 3, 6, 9, 12. Three different motions, one underlying idea.