Strip Diagrams
A strip diagram has 4 equal parts. Each part is worth 3. What is the total? Draw and label the strip diagram to represent the total.
The total is 12. (Show correct drawing to receive points)
An array has 3 rows with 4 stars in each row. How many stars are there? Draw the array.
The answer is 12. (Must show correct array)
If 3 × 5 = 15, what other multiplication fact uses the commutative property?
5 x 3 = 15
Mia has 4 bags with 3 apples in each bag. What are you finding if you solve 4 × 3?
The total amount of apples.
Break apart 4 x 3 using 3 + 1. What two multiplication facts could you use?
(3 x 3) + (1 x 3) = 9 + 3 = 12
A strip diagram shows a total of 24 divided into 6 equal units. The value of each unit is ____.
The value of each unit is 4.
An array has 5 rows and 6 columns. What multiplication equation matches the array?
5 x 6= 30
Complete the equation: 7 × 4 = ___ × 7
7 x 4 = 4 x 7
There are 20 pencils placed equally into 5 cups. What are you finding: total, size of groups, or number of groups?
Size of Groups.
Use the distributive property to solve 6 x 3 by breaking apart the 6 into 4 + 2.
(4 x 3) + (2 x 3) = 12 + 6 = 18
A strip diagram has a total of 35. Each equal unit is worth 5. There are _____ equal units.
There are 7 equal units.
A teacher arranges 32 chairs into 4 equal rows. How many chairs are in each row?
There are 8 chairs in each row.
Noah says 6 × 8 and 8 × 6 have different products of his array because the rows and columns are switched. Is Noah correct? Explain.
Noah is not correct because 6 x 8 and 8 x 6 has the same product of 40.
A teacher has 28 markers. She puts 4 markers in each box. What is the unknown?
Number of groups.
Solve 7 x 3 by breaking apart the 7 into 4 + 3. Write the equation and the answer.
(4 x 3) + (3 x 3) = 12 + 9 = 21
A strip diagram represents 4 equal units with a total of 32. What equation could you use to find the unknown amount in each unit? Solve it.
4 x __=32. or 32/4 =__. The answer is 8.
An array has 7 rows of 8. A student covers up 2 rows. How many objects are still showing?
Which equation shows the commutative property:
4 × 9 = 9 × 4
4 × 9 = 4 × 5 + 4 × 4
or
4 × 9 = 36
Explain why.
4 x 9 = 9 x 4 shows commutative property because the factors are switched and have the same product.
42 students are placed into teams with 6 students on each team. What is unknown: total, size of groups, or number of groups? How many teams are there?
Number of groups, and there are 7 teams.
Kayla solves 9 x 3 as (10 x 3) - (1 x 3). What is the difference?
30 - 3 = 27
A strip diagram shows an unknown number of equal groups. Each group is 8, and the total is 40. How many groups are there? Then write both a multiplication and division equation that match.
40 divided by 8 = 5
8 x 5 = 40
A rectangular array has 6 rows and 9 objects in each row. If 3 objects are removed from each row, how many objects remain altogether?
There are 36 objects remaining altogether.
Sam knows 4 × 9 = 36. Without multiplying again, how can he use the commutative property to determine 9 × 4? Explain why the product stays the same.
The product stays the same because the factors stayed the same, they are just swapped.
A farmer packs 35 oranges equally into boxes. Each box holds 5 oranges. Identify the total, size of each group, and number of groups.
Total is 35
Size of groups is 5
Number of groups is 7
Solve 8 x 3 using the distributive property in two different ways.
(5 x 3) + (3 x 3) = 15 + 9 = 24
(4 x 3) + (4 x 3) = 12 + 12 = 24
(6 x 3) + (2 x 3) = 18 + 6 = 24
(10 x 3) - (2 x 3) = 30 - 6 = 24