Odd/Even, Skip Counting & Number Patterns

Skill: number-patterns

Odd/Even, Skip Counting & Number Patterns

Skip-count by 2s, 5s, and 10s, master odd and even, and crack any pattern rule.

1 Skip-counting: jumps of the same size

Skip-counting jumps forward by 2s, 5s, or 10s. Watch the ones digit: it flips 0, 5, 0, 5 for 5s, and never changes for 10s.

Example 1 Skip-count by 5s

5, 10, 15, 20 — add 5 each time.

Example 2 Skip-count by 10s

34, 44, 54, 64 — only the tens digit changes.

2 Odd and even: can it pair up?

An even number splits into two equal groups with nothing left over. An odd number always has one left over. Just check the ones digit: 0, 2, 4, 6, 8 are even.

Example 3 Odd one out

37 ends in 7, so it is odd — one is always left over.

Example 4 Zero is even

0 splits into 0 and 0 with nothing left over, so 0 is even.

3 Find the rule, extend the pattern

Subtract neighbors to find the rule. If every jump is the same, extend it: 7, 11, 15 → rule +4 → 19.

Example 5 Rule +4

11 − 7 = 4, 15 − 11 = 4, so the rule is +4: 15 + 4 = 19.

Example 6 Shrinking pattern

37 − 40 = −3: the rule is −3, so 34 − 3 = 31.

4 Common mistakes

Two pattern traps.

1. Calling 0 an odd number

Wrong: “0 is odd because it is nothing.”    Right: 0 pairs up perfectly (0 and 0) — it is even.

2. Losing track skip-counting past 100

Wrong: 95, 100, 110, 115 … (the 105 vanished).    Right: watch the ones-digit pattern (0, 5, 0, 5) or use a hundreds chart.

5 Quick checks

Try these yourself, then reveal the answer.

Continue skip-counting by 2s: 14, 16, 18, __.
Add 2: 20.
Is 58 odd or even?
Ends in 8: even.
Find the next term: 50, 45, 40, __.
Rule −5: 40 − 5 = 35.

6 Key points and vocabulary

WordWhat it means
Skip-countCounting by jumps of 2, 5, 10, …
EvenSplits into two equal groups; ones digit 0, 2, 4, 6, 8.
OddOne left over after pairing; ones digit 1, 3, 5, 7, 9.
Pattern ruleWhat happens each step, like “add 4”.
TermOne number in the pattern.

Remember

  • Skip-count by watching the ones-digit pattern.
  • Even pairs up; 0 is even.
  • Find the rule by subtracting neighbors.
  • Past 100, trust the digit pattern — not your memory.
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