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Mathematics · Year 2 · Chapter 1

Adding by making ten

8 + 2
10
9 + 1
10
7 + 3
10
6 + 4
10
5 + 5
10
8 + 5
13 — (8 + 2) then + 3
9 + 4
13 — (9 + 1) then + 3
7 + 6
13 — (7 + 3) then + 3
8 + 7
15 — (8 + 2) then + 5
9 + 6
15 — (9 + 1) then + 5
8 + 2
10
9 + 1
10
7 + 3
10
6 + 4
10
10 + 5
15
8 + 5
13 — bridge: (8+2)+3
9 + 4
13
7 + 6
13 — (7+3)+3
9 + 7
16
8 + 6
14
8 + 5 + 2
15 — pair the 8 and 2 first: 10 + 5
17 + 6
23 — (17+3)+3
9 + 8
17 — (9+1)+7
25 + 7
32 — (25+5)+2
Why bridge through ten instead of counting on?
Because adding onto a ten is automatic — the digits just sit next to each other

Bridge through ten

Adding onto ten is easy: 10 + 3 is just 13 — the digits do the work. So the trick for sums like 8 + 5 is to go THROUGH ten. Ask: what does 8 need to become 10? Two. Take that 2 from the 5, leaving 3. Now it's 10 + 3 = 13. One clean hop instead of five wobbly steps. This is called bridging ten, and it needs exactly one thing to be automatic: the pairs that make ten (8+2, 9+1, 7+3, 6+4, 5+5). That's why the practice deck drills them — once the bonds are instant, every awkward sum near ten turns into an easy one.

  • 8 + 5 → 8 needs 2 → (8 + 2) + 3 → 10 + 3 = 13.
  • 9 + 6 → 9 needs 1 → (9 + 1) + 5 → 10 + 5 = 15.
  • 7 + 4 → 7 needs 3 → (7 + 3) + 1 → 10 + 1 = 11.
  • It works past ten too: 18 + 5 → (18 + 2) + 3 = 23.

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