Chapter 34: Patterns on Hundreds Charts
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Patterns on Hundreds Charts with simple explanations, visual thinking, worked examples, practice, and review.
34.1 Patterns when adding 1
Addition combines quantities. Counting on, making ten, drawings, and place value can help. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Find 53 + 69.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 122
Worked Example 2
Problem: Find 8 + 57.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 65
Worked Example 3
Problem: Find 55 + 2.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 57
Worked Example 4
Problem: Find 52 + 28.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 80
Worked Example 5
Problem: Find 50 + 55.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 105
Worked Example 6
Problem: Find 14 + 58.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 72
Worked Example 7
Problem: Find 58 + 6.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 64
Worked Example 8
Problem: Find 70 + 12.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 82
Worked Example 9
Problem: Find 2 + 3.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 5
Worked Example 10
Problem: Find 46 + 35.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 81
34.2 Patterns when adding 10
Addition combines quantities. Counting on, making ten, drawings, and place value can help. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Find 69 + 27.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 96
Worked Example 2
Problem: Find 13 + 40.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 53
Worked Example 3
Problem: Find 52 + 19.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 71
Worked Example 4
Problem: Find 7 + 40.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 47
Worked Example 5
Problem: Find 50 + 4.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 54
Worked Example 6
Problem: Find 53 + 30.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 83
Worked Example 7
Problem: Find 36 + 55.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 91
Worked Example 8
Problem: Find 16 + 7.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 23
Worked Example 9
Problem: Find 68 + 55.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 123
Worked Example 10
Problem: Find 57 + 60.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 117
34.3 Patterns when subtracting 1
Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Find 50 − 9.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 41
Worked Example 2
Problem: Find 116 − 53.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 63
Worked Example 3
Problem: Find 109 − 104.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 5
Worked Example 4
Problem: Find 71 − 11.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 60
Worked Example 5
Problem: Find 120 − 79.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 41
Worked Example 6
Problem: Find 22 − 11.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 11
Worked Example 7
Problem: Find 83 − 60.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 23
Worked Example 8
Problem: Find 41 − 17.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 24
Worked Example 9
Problem: Find 29 − 18.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 11
Worked Example 10
Problem: Find 58 − 35.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 23
34.4 Patterns when subtracting 10
Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Find 141 − 104.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 37
Worked Example 2
Problem: Find 85 − 15.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 70
Worked Example 3
Problem: Find 63 − 3.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 60
Worked Example 4
Problem: Find 60 − 18.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 42
Worked Example 5
Problem: Find 103 − 92.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 11
Worked Example 6
Problem: Find 114 − 112.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 2
Worked Example 7
Problem: Find 58 − 2.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 56
Worked Example 8
Problem: Find 30 − 17.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 13
Worked Example 9
Problem: Find 129 − 74.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 55
Worked Example 10
Problem: Find 107 − 37.
- Start with the larger number.
- Take away or count up.
- Check with addition.
Very beginner explanation: Subtraction finds what remains or the difference.
Answer: 70
34.5 Patterns when counting by 2
Counting patterns organize numbers and help with addition, subtraction, and number relationships. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Continue 16, 26, 36, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 46, 56
Worked Example 2
Problem: Continue 3, 4, 5, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 6, 7
Worked Example 3
Problem: Continue 11, 21, 31, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 41, 51
Worked Example 4
Problem: Continue 5, 7, 9, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 11, 13
Worked Example 5
Problem: Continue 19, 21, 23, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 25, 27
Worked Example 6
Problem: Continue 31, 36, 41, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 46, 51
Worked Example 7
Problem: Continue 23, 24, 25, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 26, 27
Worked Example 8
Problem: Continue 11, 16, 21, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 26, 31
Worked Example 9
Problem: Continue 15, 25, 35, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 45, 55
Worked Example 10
Problem: Continue 19, 20, 21, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 22, 23
34.6 Patterns when counting by 5
Counting patterns organize numbers and help with addition, subtraction, and number relationships. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Continue 35, 36, 37, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 38, 39
Worked Example 2
Problem: Continue 5, 6, 7, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 8, 9
Worked Example 3
Problem: Continue 40, 41, 42, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 43, 44
Worked Example 4
Problem: Continue 12, 13, 14, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 15, 16
Worked Example 5
Problem: Continue 21, 23, 25, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 27, 29
Worked Example 6
Problem: Continue 10, 12, 14, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 16, 18
Worked Example 7
Problem: Continue 26, 31, 36, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 41, 46
Worked Example 8
Problem: Continue 18, 23, 28, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 33, 38
Worked Example 9
Problem: Continue 23, 24, 25, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 26, 27
Worked Example 10
Problem: Continue 40, 41, 42, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 43, 44
34.7 Patterns when counting by 10
Counting patterns organize numbers and help with addition, subtraction, and number relationships. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Continue 18, 28, 38, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 48, 58
Worked Example 2
Problem: Continue 30, 32, 34, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 36, 38
Worked Example 3
Problem: Continue 34, 35, 36, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 37, 38
Worked Example 4
Problem: Continue 16, 26, 36, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 46, 56
Worked Example 5
Problem: Continue 39, 44, 49, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 54, 59
Worked Example 6
Problem: Continue 19, 24, 29, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 34, 39
Worked Example 7
Problem: Continue 25, 35, 45, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 55, 65
Worked Example 8
Problem: Continue 36, 37, 38, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 39, 40
Worked Example 9
Problem: Continue 18, 23, 28, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 33, 38
Worked Example 10
Problem: Continue 26, 36, 46, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 56, 66
34.8 Diagonal patterns
A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Continue 6, 16, 26, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 36, 46
Worked Example 2
Problem: Continue 24, 34, 44, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 54, 64
Worked Example 3
Problem: Continue 15, 17, 19, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 21, 23
Worked Example 4
Problem: Continue 12, 13, 14, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 15, 16
Worked Example 5
Problem: Continue 19, 29, 39, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 49, 59
Worked Example 6
Problem: Continue 24, 25, 26, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 27, 28
Worked Example 7
Problem: Continue 8, 10, 12, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 14, 16
Worked Example 8
Problem: Continue 22, 32, 42, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 52, 62
Worked Example 9
Problem: Continue 11, 12, 13, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 14, 15
Worked Example 10
Problem: Continue 38, 40, 42, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 44, 46
34.9 Finding hidden numbers
Finding hidden numbers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 16 and 20 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 2
Problem: Use 5 and 6 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 3
Problem: Use 19 and 2 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 4
Problem: Use 20 and 20 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 5
Problem: Use 17 and 15 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 6
Problem: Use 15 and 16 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 7
Problem: Use 12 and 15 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 8
Problem: Use 20 and 18 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 9
Problem: Use 15 and 11 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
Worked Example 10
Problem: Use 13 and 17 to make a simple example about Finding hidden numbers.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Finding hidden numbers.
34.10 Explaining a chart pattern
A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Continue 39, 44, 49, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 54, 59
Worked Example 2
Problem: Continue 34, 44, 54, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 64, 74
Worked Example 3
Problem: Continue 0, 2, 4, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 6, 8
Worked Example 4
Problem: Continue 14, 24, 34, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 44, 54
Worked Example 5
Problem: Continue 34, 44, 54, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 64, 74
Worked Example 6
Problem: Continue 8, 9, 10, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 11, 12
Worked Example 7
Problem: Continue 29, 39, 49, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 59, 69
Worked Example 8
Problem: Continue 6, 7, 8, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 9, 10
Worked Example 9
Problem: Continue 33, 38, 43, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 48, 53
Worked Example 10
Problem: Continue 36, 37, 38, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 39, 40
34.11 Predicting another value
Predicting another value is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 6 and 20 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 2
Problem: Use 18 and 15 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 3
Problem: Use 20 and 9 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 4
Problem: Use 9 and 3 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 5
Problem: Use 11 and 4 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 6
Problem: Use 4 and 4 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 7
Problem: Use 8 and 9 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 8
Problem: Use 3 and 20 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 9
Problem: Use 15 and 5 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
Worked Example 10
Problem: Use 20 and 1 to make a simple example about Predicting another value.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Predicting another value.
34.12 Using a chart to check a pattern
A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Continue 6, 8, 10, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 12, 14
Worked Example 2
Problem: Continue 9, 14, 19, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 24, 29
Worked Example 3
Problem: Continue 10, 15, 20, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 25, 30
Worked Example 4
Problem: Continue 15, 25, 35, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 45, 55
Worked Example 5
Problem: Continue 37, 38, 39, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 40, 41
Worked Example 6
Problem: Continue 36, 46, 56, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 66, 76
Worked Example 7
Problem: Continue 29, 39, 49, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 59, 69
Worked Example 8
Problem: Continue 1, 11, 21, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 31, 41
Worked Example 9
Problem: Continue 19, 29, 39, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 49, 59
Worked Example 10
Problem: Continue 21, 23, 25, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 27, 29
30 Review Questions and Answers
Q1. What should a Grade 2 learner understand about Patterns when adding 1?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q2. What should a Grade 2 learner understand about Patterns when adding 10?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q3. What should a Grade 2 learner understand about Patterns when subtracting 1?
Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.
Q4. What should a Grade 2 learner understand about Patterns when subtracting 10?
Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.
Q5. What should a Grade 2 learner understand about Patterns when counting by 2?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q6. What should a Grade 2 learner understand about Patterns when counting by 5?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q7. What should a Grade 2 learner understand about Patterns when counting by 10?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q8. What should a Grade 2 learner understand about Diagonal patterns?
Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.
Q9. What should a Grade 2 learner understand about Finding hidden numbers?
Answer: Finding hidden numbers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q10. What should a Grade 2 learner understand about Explaining a chart pattern?
Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.
Q11. What should a Grade 2 learner understand about Predicting another value?
Answer: Predicting another value is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q12. What should a Grade 2 learner understand about Using a chart to check a pattern?
Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.
Q13. What should a Grade 2 learner understand about Patterns when adding 1?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q14. What should a Grade 2 learner understand about Patterns when adding 10?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q15. What should a Grade 2 learner understand about Patterns when subtracting 1?
Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.
Q16. What should a Grade 2 learner understand about Patterns when subtracting 10?
Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.
Q17. What should a Grade 2 learner understand about Patterns when counting by 2?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q18. What should a Grade 2 learner understand about Patterns when counting by 5?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q19. What should a Grade 2 learner understand about Patterns when counting by 10?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q20. What should a Grade 2 learner understand about Diagonal patterns?
Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.
Q21. What should a Grade 2 learner understand about Finding hidden numbers?
Answer: Finding hidden numbers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q22. What should a Grade 2 learner understand about Explaining a chart pattern?
Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.
Q23. What should a Grade 2 learner understand about Predicting another value?
Answer: Predicting another value is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q24. What should a Grade 2 learner understand about Using a chart to check a pattern?
Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.
Q25. What should a Grade 2 learner understand about Patterns when adding 1?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q26. What should a Grade 2 learner understand about Patterns when adding 10?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q27. What should a Grade 2 learner understand about Patterns when subtracting 1?
Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.
Q28. What should a Grade 2 learner understand about Patterns when subtracting 10?
Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.
Q29. What should a Grade 2 learner understand about Patterns when counting by 2?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q30. What should a Grade 2 learner understand about Patterns when counting by 5?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.