3rd grade · Math · Unit 2 of 16
Multiplication
Equal groups and arrays
What your child practices
Understanding multiplication as equal groups, arrays, repeated addition and skip counting. Easier sets use 2s, 5s and 10s; stretch sets go beyond 5 × 5.
New York State Learning Standards learning standard: NY-3.OA.1; NY-3.OA.3; NY-3.OA.5; NY-3.OA.7 · multiplication as equal groups, equal-groups word problems, properties of multiplication, and multiplying within 100
How we explain it
Children can open this short lesson before they practice.
- Multiplying means equal groups.
- 3 × 4 means 3 groups of 4.
- An array shows the groups as rows and columns.
Example: 4 × 5 = ? That is 4 groups of 5. 5 + 5 + 5 + 5 = 20. Answer: 20
Multiplication in New York
In the New York State Learning Standards, this is unit 2 of 16 in 3rd grade Math, after Add & Subtract and before Division.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
5 × 3 = 15. So what is 3 × 5?
3 × 5 = ?
- 20
- 12
- 15
- 8
15
Hint: You can multiply in any order. 3 rows of 5 is the same number as 5 rows of 3: 15.
Question 2
How many 🌸 are in the array?
🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸answer box
15
Hint: There are 3 rows of 5, so it's 3 × 5. Count by 5s 3 times: 5, 10, 15.
Question 3
Which multiplication means the same as this?
3 + 3 + 3 + 3 + 3
- 5 + 3
- 6 × 3
- 3 × 3
- 5 × 3
5 × 3
Hint: There are 5 groups of 3 added together, so it's 5 × 3 = 15.
Question 4
What is 4 × 2?
4 × 2 = ?
answer box
8
Hint: Count by 2s 4 times: 2, 4, 6, 8.
Question 5
What is 2 × 2?
2 × 2 = ?
- 6
- 8
- 4
- 2
4
Hint: Count by 2s 2 times: 2, 4.
Question 6
Which multiplication matches the array?
🍎🍎🍎🍎🍎🍎- 3 × 2
- 3 + 2
- 3 × 3
- 4 × 2
3 × 2
Hint: Count the rows (3) and how many are in each row (2). 3 rows of 2 is 3 × 2.