Chapter 27: Equal Groups and Arrays
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Equal Groups and Arrays with simple explanations, visual thinking, worked examples, practice, and review.
27.1 Making 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 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 2
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 3
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 4
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 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 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 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 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 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 3. How many objects altogether?
- Add the same group size repeatedly.
Very beginner explanation: Equal groups are an early multiplication idea.
Answer: 15
27.2 Counting 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: Continue 8, 18, 28, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 38, 48
Worked Example 2
Problem: Continue 39, 49, 59, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 69, 79
Worked Example 3
Problem: Continue 22, 24, 26, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 28, 30
Worked Example 4
Problem: Continue 22, 27, 32, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 37, 42
Worked Example 5
Problem: Continue 35, 40, 45, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 50, 55
Worked Example 6
Problem: Continue 0, 1, 2, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 3, 4
Worked Example 7
Problem: Continue 23, 28, 33, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 38, 43
Worked Example 8
Problem: Continue 38, 39, 40, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 41, 42
Worked Example 9
Problem: Continue 39, 49, 59, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 69, 79
Worked Example 10
Problem: Continue 3, 13, 23, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 33, 43
27.3 Rows and columns
Rows and columns 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 20 and 13 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 2
Problem: Use 1 and 14 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 3
Problem: Use 20 and 3 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 4
Problem: Use 18 and 3 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 5
Problem: Use 6 and 13 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 6
Problem: Use 6 and 19 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 7
Problem: Use 11 and 6 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 8
Problem: Use 2 and 18 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 9
Problem: Use 7 and 10 to make a simple example about Rows and columns.
- 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 Rows and columns.
Worked Example 10
Problem: Use 15 and 5 to make a simple example about Rows and columns.
- 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 Rows and columns.
27.4 Building arrays
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 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 2
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 3
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 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 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 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 7
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 8
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 9
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 10
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
27.5 Reading arrays
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 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 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 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 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 6
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 7
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 8
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 9
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 10
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
27.6 Repeated addition from arrays
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 8 + 36.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 44
Worked Example 2
Problem: Find 37 + 13.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 50
Worked Example 3
Problem: Find 27 + 68.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 95
Worked Example 4
Problem: Find 23 + 14.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 37
Worked Example 5
Problem: Find 41 + 34.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 75
Worked Example 6
Problem: Find 23 + 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: 29
Worked Example 7
Problem: Find 43 + 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: 91
Worked Example 8
Problem: Find 13 + 21.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 34
Worked Example 9
Problem: Find 43 + 11.
- 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 10
Problem: Find 56 + 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: 71
27.7 Groups of 2
Groups of 2 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 2 and 14 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 2
Problem: Use 16 and 8 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 3
Problem: Use 17 and 14 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 4
Problem: Use 11 and 11 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 5
Problem: Use 3 and 9 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 6
Problem: Use 9 and 8 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 7
Problem: Use 8 and 18 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 8
Problem: Use 14 and 18 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 9
Problem: Use 19 and 1 to make a simple example about Groups of 2.
- 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 Groups of 2.
Worked Example 10
Problem: Use 5 and 2 to make a simple example about Groups of 2.
- 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 Groups of 2.
27.8 Groups of 5
Groups of 5 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 17 and 5 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 2
Problem: Use 3 and 9 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 3
Problem: Use 4 and 20 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 4
Problem: Use 10 and 2 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 5
Problem: Use 11 and 20 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 6
Problem: Use 2 and 11 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 7
Problem: Use 13 and 12 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 8
Problem: Use 13 and 3 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 9
Problem: Use 14 and 9 to make a simple example about Groups of 5.
- 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 Groups of 5.
Worked Example 10
Problem: Use 1 and 8 to make a simple example about Groups of 5.
- 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 Groups of 5.
27.9 Groups of 10
Groups of 10 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 2 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 2
Problem: Use 19 and 11 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 3
Problem: Use 8 and 16 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 4
Problem: Use 3 and 19 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 5
Problem: Use 7 and 15 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 6
Problem: Use 10 and 11 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 7
Problem: Use 12 and 19 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 8
Problem: Use 18 and 14 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 9
Problem: Use 4 and 4 to make a simple example about Groups of 10.
- 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 Groups of 10.
Worked Example 10
Problem: Use 8 and 14 to make a simple example about Groups of 10.
- 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 Groups of 10.
27.10 Finding a total from 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 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 2
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 3
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 4
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 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 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 7
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 8
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 9
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 10
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
27.11 Drawing an array
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 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 2
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 3
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 4
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 5
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 6
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 7
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 8
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 9
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 10
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
27.12 Real-life equal-group situations
Real-life equal-group situations 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 3 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 2
Problem: Use 11 and 4 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 3
Problem: Use 8 and 13 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 4
Problem: Use 19 and 20 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 5
Problem: Use 13 and 8 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 6
Problem: Use 7 and 7 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 7
Problem: Use 18 and 18 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 8
Problem: Use 1 and 6 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 9
Problem: Use 9 and 17 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
Worked Example 10
Problem: Use 16 and 3 to make a simple example about Real-life equal-group situations.
- 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 Real-life equal-group situations.
30 Review Questions and Answers
Q1. What should a Grade 2 learner understand about Making equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q2. What should a Grade 2 learner understand about Counting equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q3. What should a Grade 2 learner understand about Rows and columns?
Answer: Rows and columns is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q4. What should a Grade 2 learner understand about Building arrays?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q5. What should a Grade 2 learner understand about Reading arrays?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q6. What should a Grade 2 learner understand about Repeated addition from arrays?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q7. What should a Grade 2 learner understand about Groups of 2?
Answer: Groups of 2 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 Groups of 5?
Answer: Groups of 5 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 Groups of 10?
Answer: Groups of 10 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 Finding a total from equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q11. What should a Grade 2 learner understand about Drawing an array?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q12. What should a Grade 2 learner understand about Real-life equal-group situations?
Answer: Real-life equal-group situations is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q13. What should a Grade 2 learner understand about Making equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q14. What should a Grade 2 learner understand about Counting equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q15. What should a Grade 2 learner understand about Rows and columns?
Answer: Rows and columns is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q16. What should a Grade 2 learner understand about Building arrays?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q17. What should a Grade 2 learner understand about Reading arrays?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q18. What should a Grade 2 learner understand about Repeated addition from arrays?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q19. What should a Grade 2 learner understand about Groups of 2?
Answer: Groups of 2 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 Groups of 5?
Answer: Groups of 5 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 Groups of 10?
Answer: Groups of 10 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 Finding a total from equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q23. What should a Grade 2 learner understand about Drawing an array?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q24. What should a Grade 2 learner understand about Real-life equal-group situations?
Answer: Real-life equal-group situations is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q25. What should a Grade 2 learner understand about Making equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q26. What should a Grade 2 learner understand about Counting equal groups?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q27. What should a Grade 2 learner understand about Rows and columns?
Answer: Rows and columns is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q28. What should a Grade 2 learner understand about Building arrays?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q29. What should a Grade 2 learner understand about Reading arrays?
Answer: Early multiplication uses equal groups, arrays, skip counting, and repeated addition.
Q30. What should a Grade 2 learner understand about Repeated addition from arrays?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.