
Written solutions to the chapter problems. Check each step, then correct yourself.
1 Marbles in a bag ★★★
We put two groups together, so we add: \(2+4\). Count on from 4: 5, 6.
\(2+4=6\). There are 6 marbles in the bag.
2 Birds on a fence ★★★
We start with 5 and add 3 more: \(5+3\). Count on: 6, 7, 8.
\(5+3=8\). There are 8 birds on the fence.
3 Read the picture ★★★
There are 3 orange counters and 4 blue counters. We count all of them: 1, 2, 3, 4, 5, 6, 7.
\(3+4=7\). The sum is 7.
4 Read the ten frame ★★★
There are 6 orange counters and 2 blue counters. Count on from 6: 7, 8.
\(6+2=8\). There are 8 counters in all.
5 Adding zero ★★★
When we add 0, the number does not change.
- \(8+0=8\)
- \(0+6=6\)
- \(9+0=9\)
- \(0+0=0\)
6 Hop on the number line ★★★
From 5 we hop 3 steps: 6, 7, 8.
\(5+3=8\). We land on 8.
7 True or false? ★★★
- True, because \(2+5=7\).
- False, because \(4+4=8\), not 9.
- False, because adding 0 does not change 6, so \(6+0=6\).
- True, because \(1+8=9\).
8 Make ten ★★★
Use the number bonds for 10.
- \(6+4=10\), so the missing number is 4.
- \(3+7=10\), so the missing number is 7.
- \(2+8=10\), so the missing number is 2.
- \(5+5=10\), so the missing number is 5.
9 Turn-around facts ★★★
We swap the two numbers. The sum stays the same.
- \(3+6=9\) and \(6+3=9\)
- \(2+7=9\) and \(7+2=9\)
- \(1+5=6\) and \(5+1=6\)
10 Missing number ★★★
Count on from the first number until you reach the sum.
- From 5 to 9 we count on 6, 7, 8, 9: that is 4 steps. So \(5+4=9\).
- \(6+2=8\), so the missing number is 6.
- \(3+4=7\), so the missing number is 4.
- \(0+6=6\), so the missing number is 0.
11 Cookies on a plate ★★★
We start with 4 and add 5 more: \(4+5\). Count on: 5, 6, 7, 8, 9.
\(4+5=9\). There are 9 cookies on the plate.
12 Number bonds ★★★
Each pair of parts must make 10.
- \(3+7=10\), so the missing part is 7.
- \(4+6=10\), so the missing part is 4.
13 Greater than, less than, or equal? ★★★
Find each sum first, then compare.
- \(7\) and \(8\): \(3+4<2+6\).
- \(7\) and \(7\): \(5+2=4+3\).
- \(6\) and \(5\): \(6+0>1+4\).
- \(4\) and \(3\): \(2+2>3+0\).
14 Complete the table ★★★
We ask: what do we add to the first part to get 10?
| First part | 1 | 4 | 7 | 10 |
|---|---|---|---|---|
| Second part | 9 | 6 | 3 | 0 |
\(1+9=10\), \(4+6=10\), \(7+3=10\), \(10+0=10\).
15 Three numbers ★★★
- \(2+3=5\), then \(5+4=9\). So \(2+3+4=9\).
- \(1+4=5\), then \(5+3=8\). So \(1+4+3=8\).
- \(5+0=5\), then \(5+4=9\). So \(5+0+4=9\).
- \(2+2=4\), then \(4+2=6\). So \(2+2+2=6\).
16 Find the mistake ★★★
Sam: Adding 0 does not change the number. 6 plus none is still 6. The correct sentence is \(6+0=6\).
Lena: If we start at 4 and hop 3 steps we count 5, 6, 7. We land on 7, not 8. The correct sentence is \(4+3=7\).
17 Pairs that make ten ★★★
Use the number bonds for 10.
- \(3+7=10\)
- \(4+6=10\)
- \(2+8=10\)
The card 5 is left. It needs another 5 to make 10, and there is only one 5. The card with no partner is 5.
18 Crayon box ★★★
We add the three groups: \(3+2+4\). First, \(3+2=5\). Then, \(5+4=9\).
\(3+2+4=9\). There are 9 crayons in the box.
19 Same sum, other order ★★★
- \(2+7\) is the same as \(7+2\). The missing number is 7.
- \(4+5\) is the same as \(5+4\). The missing number is 4.
- \(8+1\) is the same as \(1+8\). The missing number is 8.
20 All the ways to make 8 ★★★
We start with 0 and keep adding the number needed to reach 8.
\(0+8=8\), \(1+7=8\), \(2+6=8\), \(3+5=8\), \(4+4=8\), \(5+3=8\), \(6+2=8\), \(7+1=8\), \(8+0=8\).
There are 9 sentences. Notice that most come in turn-around pairs, like \(2+6\) and \(6+2\).
21 Zyro’s garden story ★★★
\(4+5=9\). Zyro has 9 plants in all.
The turn-around sentence is \(5+4=9\).
The sums match because the order of the two numbers does not matter when we add. We still have the same total of plants.
Test yourself: quick challenge for Grade 1
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