
Written solutions to the chapter problems. Check each step, then correct yourself.
1 Count the circles ★★★
Touch each circle once and count: 1, 2, 3, 4, 5, 6.
There are 6 circles.
2 Write the numeral ★★★
- seven is 7.
- zero is 0.
- ten is 10.
- four is 4.
3 Count forward ★★★
Counting forward, each number is one more. After 4 comes 5. After 6 comes 7.
The sequence is 3, 4, 5, 6, 7, 8.
4 Count backward ★★★
Counting backward, each number is one less. One less than 8 is 7. One less than 6 is 5.
The sequence is 9, 8, 7, 6, 5, 4.
5 Which group has more? ★★★
Group A has 5 circles. Group B has 3 circles. Since 5 is greater than 3, Group A has more. Group B has fewer.
6 Greater, less, or equal ★★★
- 6 is greater than 2, so \(6 \gt 2\).
- 4 is less than 9, so \(4 \lt 9\).
- 8 and 8 are the same, so \(8 = 8\).
7 Match words and numerals ★★★
- 5 is five.
- 9 is nine.
- 2 is two.
- 8 is eight.
8 Read the number line ★★★
- Point A is at 3.
- Point B is at 8.
- 8 is farther to the right, and \(8 \gt 3\). So point B shows the greater number.
9 Least to greatest ★★★
The least is 2. Then 4, then 7. The greatest is 9.
The order is 2, 4, 7, 9.
10 Greatest to least ★★★
The greatest is 10. Then 5, then 3. The least is 0.
The order is 10, 5, 3, 0.
11 Stickers at recess ★★★
- \(8 \gt 6\), so Maya has more.
- \(6 \lt 8\), so Leo has fewer.
- Count backward from 8: 8, 7, 6. That is 2 steps, so Maya has 2 more stickers.
12 True or false? ★★★
- False. 3 is less than 7, so \(3 \lt 7\).
- True. 10 comes after 9 when counting forward.
- True. Zero comes before 1.
- False. 5 and 6 are different numbers, so \(5 \lt 6\).
13 One more, one less ★★★
- One less is 5 and one more is 7. So 5 and 7.
- One less is 8 and one more is 10.
- One less is 0 and one more is 2.
- One less is 9. One more would be 11, but we only count to 10 here, so the answer is just 9.
14 Write the words ★★★
- 3 is three.
- 8 is eight.
- 10 is ten.
- 0 is zero.
15 Between 7 and 10 ★★★
Numbers greater than 7 are 8, 9, and 10. Numbers less than 10 are 0 up to 9.
Both are true for 8 and 9. The number 10 is not less than 10, so we leave it out.
16 Mystery numbers ★★★
- Only 8 is between 7 and 9. The number is 8.
- Counting forward, 9 comes right before 10. The number is 9.
- One less than 4 is 3.
17 Grapes on the ten frames ★★★
- \(9 \gt 7\), so Ana has more grapes.
- Ben has 3 empty boxes and Ana has 1 empty box. Count up from 7: 8, 9. That is 2 steps, so Ben has 2 fewer grapes.
18 Find the mistake ★★★
Sam is not right. The number 4 is less than 5, so 4 must come before 5.
The correct order is 2, 4, 5, 8.
19 Rocket countdown ★★★
- The numbers are 6, 5, 4, 3, 2, 1, 0.
- Count them: 1, 2, 3, 4, 5, 6, 7. We say 7 numbers. Do not forget zero!
20 Three cards ★★★
3 is the least, 5 is in the middle, and 8 is the greatest. Three true comparisons are:
\(3 \lt 5\), \(5 \lt 8\), and \(8 \gt 3\).
Other correct answers are possible, like \(5 \gt 3\).
21 Make the groups equal ★★★
- Group A has 4 and Group B has 7. Since \(4 \lt 7\), Group A has fewer.
- Count up from 4 to 7: 5, 6, 7. That is 3 steps, so add 3 circles. Then both groups have 7.
Test yourself: quick challenge for Grade 1
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