Roots of Reason
rootsofreason.org
Stuck? Scan for the anchor chart
Equal Groups, Arrays & Facts · Grade 3
Multiplication Within 100
Name
Date
Correct / 12
1
Concrete
- build it with objects and drawings
1. Draw 3 groups of 4 counters. How many counters in all?
In all:
2. There are 5 bags. Each holds 3 apples. Draw them, then write an equation.
Equation:
2
Representational
- arrays, number lines, models
3. Complete the array for 4 × 6, then write the product.
4 × 6 =
4. Skip-count on the number line to solve 3 × 5.
0123456789101112131415
3 × 5 =
3
Abstract
- just the numbers, from memory
5. 6 × 4 =
6. 3 × 7 =
7. 8 × 5 =
8. 9 × 2 =
Find the missing factor.
9. × 8 = 24
10. 6 × = 42
11. × 5 = 45
12. 4 × = 28
Roots of Reason
rootsofreason.org
Equal Groups, Arrays & Facts · Grade 3
Multiplication Within 100
1
Concrete
1. Draw 3 groups of 4 counters. How many counters in all?
In all: 12 (3 × 4 = 12)
2. There are 5 bags. Each holds 3 apples. Draw them, then write an equation.
Equation: 5 × 3 = 15
2
Representational
3. Complete the array for 4 × 6, then write the product.
4 × 6 = 24
4. Skip-count on the number line to solve 3 × 5.
0123456789101112131415
3 × 5 = 15
3
Abstract
5. 6 × 4 = 24
6. 3 × 7 = 21
7. 8 × 5 = 40
8. 9 × 2 = 18
Find the missing factor.
9. 3 × 8 = 24
10. 6 × 7 = 42
11. 9 × 5 = 45
12. 4 × 7 = 28
Watch for students who skip the concrete step and jump to memorized facts - a shaky array in problem 3 usually means the equal-groups idea hasn't set yet. Send them back to the counters before the fact grid.