Chapter 28: Introduction to Multiplication
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Introduction to Multiplication with simple explanations, visual thinking, worked examples, practice, and review.
28.1 Multiplication as equal groups
Early multiplication uses equal groups, arrays, skip counting, and repeated addition. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: There are 2 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 4
Worked Example 2
Problem: There are 3 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 9
Worked Example 3
Problem: There are 4 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 16
Worked Example 4
Problem: There are 5 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 25
Worked Example 5
Problem: There are 4 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 20
Worked Example 6
Problem: There are 4 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 7
Problem: There are 3 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 6
Worked Example 8
Problem: There are 4 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 12
Worked Example 9
Problem: There are 3 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 15
Worked Example 10
Problem: There are 5 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 25
28.2 Multiplication as repeated addition
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 29 + 48.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 77
Worked Example 2
Problem: Find 50 + 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: 110
Worked Example 3
Problem: Find 33 + 15.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 48
Worked Example 4
Problem: Find 17 + 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: 24
Worked Example 5
Problem: Find 58 + 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: 85
Worked Example 6
Problem: Find 63 + 20.
- 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 50 + 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: 78
Worked Example 8
Problem: Find 49 + 8.
- 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 9
Problem: Find 41 + 47.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 88
Worked Example 10
Problem: Find 61 + 53.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 114
28.3 Using the multiplication symbol
Early multiplication uses equal groups, arrays, skip counting, and repeated addition. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: There are 5 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 2
Problem: There are 5 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 3
Problem: There are 4 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 4
Problem: There are 2 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 5
Problem: There are 2 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 6
Problem: There are 4 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 7
Problem: There are 3 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 6
Worked Example 8
Problem: There are 2 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 9
Problem: There are 2 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 6
Worked Example 10
Problem: There are 2 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
28.4 Writing a multiplication sentence
Early multiplication uses equal groups, arrays, skip counting, and repeated addition. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: There are 4 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 20
Worked Example 2
Problem: There are 2 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 6
Worked Example 3
Problem: There are 5 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 4
Problem: There are 4 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 12
Worked Example 5
Problem: There are 2 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 4
Worked Example 6
Problem: There are 3 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 15
Worked Example 7
Problem: There are 4 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 8
Problem: There are 5 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 15
Worked Example 9
Problem: There are 3 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 15
Worked Example 10
Problem: There are 5 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 25
28.5 Two groups
Two groups 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 9 and 16 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 2
Problem: Use 7 and 10 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 3
Problem: Use 19 and 1 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 4
Problem: Use 20 and 3 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 5
Problem: Use 7 and 1 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 6
Problem: Use 20 and 11 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 7
Problem: Use 11 and 19 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 8
Problem: Use 16 and 2 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 9
Problem: Use 19 and 7 to make a simple example about Two groups.
- 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 Two groups.
Worked Example 10
Problem: Use 4 and 3 to make a simple example about Two groups.
- 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 Two groups.
28.6 Three groups
Three groups 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 9 and 13 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 2
Problem: Use 6 and 12 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 3
Problem: Use 11 and 6 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 4
Problem: Use 11 and 16 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 5
Problem: Use 8 and 4 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 6
Problem: Use 11 and 19 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 7
Problem: Use 7 and 20 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 8
Problem: Use 18 and 10 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 9
Problem: Use 2 and 2 to make a simple example about Three groups.
- 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 Three groups.
Worked Example 10
Problem: Use 9 and 4 to make a simple example about Three groups.
- 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 Three groups.
28.7 Four groups
Four groups 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 5 and 18 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 2
Problem: Use 16 and 10 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 3
Problem: Use 14 and 6 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 4
Problem: Use 16 and 10 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 5
Problem: Use 1 and 6 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 6
Problem: Use 7 and 7 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 7
Problem: Use 17 and 6 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 8
Problem: Use 11 and 12 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 9
Problem: Use 2 and 10 to make a simple example about Four groups.
- 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 Four groups.
Worked Example 10
Problem: Use 18 and 10 to make a simple example about Four groups.
- 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 Four groups.
28.8 Five groups
Five groups 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 7 and 20 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 2
Problem: Use 6 and 8 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 3
Problem: Use 12 and 3 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 4
Problem: Use 7 and 17 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 5
Problem: Use 15 and 8 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 6
Problem: Use 18 and 18 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 7
Problem: Use 14 and 18 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 8
Problem: Use 1 and 1 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 9
Problem: Use 17 and 19 to make a simple example about Five groups.
- 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 Five groups.
Worked Example 10
Problem: Use 17 and 18 to make a simple example about Five groups.
- 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 Five groups.
28.9 Connecting skip counting and multiplication
Early multiplication uses equal groups, arrays, skip counting, and repeated addition. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
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 2
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 3
Problem: Continue 1, 2, 3, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 4, 5
Worked Example 4
Problem: Continue 3, 5, 7, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 9, 11
Worked Example 5
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 6
Problem: Continue 5, 15, 25, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 35, 45
Worked Example 7
Problem: Continue 12, 22, 32, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 42, 52
Worked Example 8
Problem: Continue 40, 45, 50, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 55, 60
Worked Example 9
Problem: Continue 25, 26, 27, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 28, 29
Worked Example 10
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
28.10 Using arrays for multiplication
Early multiplication uses equal groups, arrays, skip counting, and repeated addition. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: There are 2 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 6
Worked Example 2
Problem: There are 4 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 3
Problem: There are 3 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 12
Worked Example 4
Problem: There are 3 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 6
Worked Example 5
Problem: There are 2 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 6
Problem: There are 5 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 7
Problem: There are 4 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 20
Worked Example 8
Problem: There are 3 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 9
Worked Example 9
Problem: There are 4 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 16
Worked Example 10
Problem: There are 2 equal groups of 5. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
28.11 Finding a missing group total
Finding a missing group total 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 15 and 6 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 2
Problem: Use 9 and 19 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 3
Problem: Use 15 and 9 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 4
Problem: Use 1 and 17 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 5
Problem: Use 6 and 18 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 6
Problem: Use 11 and 17 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 7
Problem: Use 20 and 18 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 8
Problem: Use 19 and 19 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 9
Problem: Use 9 and 1 to make a simple example about Finding a missing group total.
- 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 a missing group total.
Worked Example 10
Problem: Use 9 and 1 to make a simple example about Finding a missing group total.
- 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 a missing group total.
28.12 Simple multiplication stories
Early multiplication uses equal groups, arrays, skip counting, and repeated addition. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: There are 5 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 20
Worked Example 2
Problem: There are 3 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 9
Worked Example 3
Problem: There are 4 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 4
Problem: There are 3 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 12
Worked Example 5
Problem: There are 3 equal groups of 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 9
Worked Example 6
Problem: There are 5 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 7
Problem: There are 4 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 16
Worked Example 8
Problem: There are 5 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 10
Worked Example 9
Problem: There are 2 equal groups of 4. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
Worked Example 10
Problem: There are 4 equal groups of 2. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 8
30 Review Questions and Answers
Q1. What should a Grade 2 learner understand about Multiplication as equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q2. What should a Grade 2 learner understand about Multiplication as repeated addition?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q3. What should a Grade 2 learner understand about Using the multiplication symbol?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q4. What should a Grade 2 learner understand about Writing a multiplication sentence?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q5. What should a Grade 2 learner understand about Two groups?
Answer: Two groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q6. What should a Grade 2 learner understand about Three groups?
Answer: Three groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q7. What should a Grade 2 learner understand about Four groups?
Answer: Four groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q8. What should a Grade 2 learner understand about Five groups?
Answer: Five groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q9. What should a Grade 2 learner understand about Connecting skip counting and multiplication?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q10. What should a Grade 2 learner understand about Using arrays for multiplication?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q11. What should a Grade 2 learner understand about Finding a missing group total?
Answer: Finding a missing group total 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 Simple multiplication stories?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q13. What should a Grade 2 learner understand about Multiplication as equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q14. What should a Grade 2 learner understand about Multiplication as repeated addition?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q15. What should a Grade 2 learner understand about Using the multiplication symbol?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q16. What should a Grade 2 learner understand about Writing a multiplication sentence?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q17. What should a Grade 2 learner understand about Two groups?
Answer: Two groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q18. What should a Grade 2 learner understand about Three groups?
Answer: Three groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q19. What should a Grade 2 learner understand about Four groups?
Answer: Four groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q20. What should a Grade 2 learner understand about Five groups?
Answer: Five groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q21. What should a Grade 2 learner understand about Connecting skip counting and multiplication?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q22. What should a Grade 2 learner understand about Using arrays for multiplication?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q23. What should a Grade 2 learner understand about Finding a missing group total?
Answer: Finding a missing group total 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 Simple multiplication stories?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q25. What should a Grade 2 learner understand about Multiplication as equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q26. What should a Grade 2 learner understand about Multiplication as repeated addition?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q27. What should a Grade 2 learner understand about Using the multiplication symbol?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q28. What should a Grade 2 learner understand about Writing a multiplication sentence?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q29. What should a Grade 2 learner understand about Two groups?
Answer: Two groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q30. What should a Grade 2 learner understand about Three groups?
Answer: Three groups is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.