
Written solutions to the chapter problems. Check each step, then correct yourself.
1 Counting on from 6 ★★★
We start at 6 and count on: 7, 8, 9, 10, 11. That is five numbers.
Answer: you land on 11, so \(6 + 5 = 11\).
2 Ten and some ones ★★★
- \(10 + 6 = 16\).
- \(15 = 10 + 5\).
- \(10 + 9 = 19\).
- 12 is one ten and 2 ones.
Every teen number is a ten and some ones.
3 Missing numbers ★★★
- 9, 10, 11, 12, 13, 14, 15.
- 18, 19, 20, 21, 22, 23.
Each number is one more than the number before it, even after 20.
4 Easy doubles ★★★
- \(3 + 3 = 6\)
- \(4 + 4 = 8\)
- \(6 + 6 = 12\)
- \(7 + 7 = 14\)
- \(9 + 9 = 18\)
A double means the same number added twice.
5 Counting back ★★★
- 15: say 14, 13, 12. So \(15 - 3 = 12\).
- 18: say 17, 16. So \(18 - 2 = 16\).
- 12: say 11, 10, 9, 8. So \(12 - 4 = 8\).
- 20: say 19. So \(20 - 1 = 19\).
6 Sticker collection ★★★
We add: \(9 + 4\). Start at 9 and count on 4: 10, 11, 12, 13.
Answer: Nina has 13 stickers.
7 Count the counters ★★★
The first frame is full: 10 counters. The second frame has 7 counters.
\(10 + 7 = 17\). There are 17 counters.
8 True or false? ★★★
- True. Ten and five more is 15.
- False. \(10 + 3 = 13\), and \(12 = 10 + 2\).
- True. Taking the ten away from 16 leaves 6.
9 Make ten ★★★
- 9 needs 1 to make ten. Split 4 into 1 and 3. \(9 + 1 = 10\), then \(10 + 3 = 13\). So \(9 + 4 = 13\).
- 8 needs 2. Split 6 into 2 and 4. \(8 + 2 = 10\), then \(10 + 4 = 14\). So \(8 + 6 = 14\).
- 7 needs 3. Split 5 into 3 and 2. \(7 + 3 = 10\), then \(10 + 2 = 12\). So \(7 + 5 = 12\).
10 Near doubles ★★★
- \(6 + 6 = 12\), plus 1 is 13. So \(6 + 7 = 13\).
- \(8 + 8 = 16\), plus 1 is 17. So \(8 + 9 = 17\).
- \(5 + 5 = 10\), plus 1 is 11. So \(5 + 6 = 11\).
- \(7 + 7 = 14\), plus 1 is 15. So \(7 + 8 = 15\).
11 Think addition ★★★
- \(9 + 5 = 14\), so \(14 - 9 = 5\).
- \(8 + 5 = 13\), so \(13 - 8 = 5\).
- \(7 + 9 = 16\), so \(16 - 7 = 9\).
- \(5 + 7 = 12\), so \(12 - 5 = 7\).
12 Fact family ★★★
The biggest number, 14, is the total.
\(6 + 8 = 14\) and \(8 + 6 = 14\).
\(14 - 6 = 8\) and \(14 - 8 = 6\).
13 Frog on the number line ★★★
Hop six times from 8: 9, 10, 11, 12, 13, 14.
The frog lands on 14, so \(8 + 6 = 14\).
14 Muffin trays ★★★
We add \(7 + 8\). We know \(7 + 7 = 14\), and 8 is one more than 7.
\(14 + 1 = 15\). The baker has 15 muffins.
15 Which is more? ★★★
\(8 + 5 = 13\) and \(7 + 7 = 14\).
14 is greater than 13, so \(7 + 7\) is the greater sum.
16 Find the missing number ★★★
- From 7 to 10 is 3, from 10 to 15 is 5, so \(3 + 5 = 8\). \(7 + 8 = 15\).
- \(13 - 6 = 7\). Check: \(7 + 6 = 13\).
- \(18 - 9 = 9\), and \(9 + 9 = 18\) is a double.
The missing numbers are 8, 7 and 9.
17 Marbles in a bag ★★★
Step 1: he gives away 5, so \(18 - 5 = 13\). Count back: 17, 16, 15, 14, 13.
Step 2: he finds 3, so \(13 + 3 = 16\).
Answer: Omar has 16 marbles.
18 Find the mistake ★★★
Leo is not right. He used the double \(6 + 6 = 12\), but 7 is one more than 6.
He must add one more: \(12 + 1 = 13\). The correct answer is \(6 + 7 = 13\).
19 Three numbers to make ten ★★★
- \(6 + 4 = 10\), then \(10 + 5 = 15\).
- \(7 + 3 = 10\), then \(10 + 8 = 18\).
- \(5 + 5 = 10\), then \(10 + 9 = 19\).
Totals: 15, 18 and 19.
20 Which ones make 16? ★★★
\(8 + 8 = 16\), yes. \(9 + 6 = 15\), no. \(10 + 6 = 16\), yes. \(20 - 4 = 16\), yes. \(18 - 3 = 15\), no. \(17 - 1 = 16\), yes.
The expressions equal to 16 are \(8 + 8\), \(10 + 6\), \(20 - 4\) and \(17 - 1\).
21 Two secret numbers ★★★
Think of a near double. Try \(6 + 7 = 13\). Seven is 1 more than 6, so it works.
The secret numbers are 6 and 7.
22 The school bus ★★★
First stop: \(12 - 5\). Think \(5 + 7 = 12\), so \(12 - 5 = 7\).
Next stop: \(7 + 6 = 13\). Check by making ten: \(7 + 3 + 3 = 13\).
Answer: there are 13 children on the bus.
Test yourself: quick challenge for Grade 1
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