Multiplication Strategies
Show an array to represent 3 x 5
3 rows and 5 columns = 15
Give an example and definition of the commutative property of multiplication
5 x 6 = 6 x 5 = 30
I can multiply factors in any order and get the same product
Show 50 divided by 10 using repeated subtraction
50 - 10 = 40
40 - 10 = 30
30 - 10 = 20
20 - 10 = 10
10 - 10 = 0
so 50 divided by 10 = 5
Ariel is making quilts for 2 of her cousins. Each quilt uses 9 yards of fabric. How many yards of fabric does
Ariel need?
18 yards
Jonah has a game night party. He and his friends have a total of 32 games to choose from. They stack the games into 8 equal piles. How many games are in
each pile?
4 games
William reads 3 fiction books and 2 nonfiction books each month. How many books does William read in
9 months? Write an equation with an unknown to represent the problem and solve.
(3 + 2) x 9 = 45 books
Explain how you can use known facts to find 3 × 7.
You can break apart any 3s fact into 2s and 1s facts.
3 x 7 = (2 x 7) + (1 x 7)
What is the definition of equivalent?
Equal to or the same value as
Show a number line to represent 5 x 4
5 jumps of 4 = 20
Give an example and definition of the zero property of multiplication
Anything times zero equals zero.
Ex. 4 x 0 = 0
Write a fact family for 8 x 7
8 x 7 = 56
7 x 8 = 56
56/7 = 8
56/8 = 7
A large array is broken up into two smaller arrays, 3 × 3 and 3 × 5. What was the larger array?
3 x 8
Anthony says that 0 , 5 and 5 , 0 both have a quotient of 0. Is Anthony correct? Explain.
No because you cannot divide anything by 0
One box of greeting cards contains 8 cards and costs $6. Arnold has $54. How many boxes of greeting cards
can he buy? How many greeting cards
would he have?
54 divided by 6 = 9 boxes
9 x 8 = 72 greeting cards
Nicolas write this work on his paper. What problem is Nicolas trying to solve?
36 — 6 = 30
30 — 6 = 24
24 — 6 = 18
18 — 6 = 12
12 — 6 = 6
6 — 6 = 0
36 divided by 6
What is the definition of compute?
To solve
Show a bar diagram to represent 6 x 7
6 boxes with 7 in each = 42 total
Give an example and definition of the identity property of multiplication.
Anything times one equals itself.
5 x 1 = 5
42 divided by 7 = ?
6
Heidi uses mental math to multiply. What could she use to find 7 × 60?
7 x 6 = 42 and then add a zero so 7 x 60 = 420
For a school play, 4 students spent a total of $28 on their costumes. If all the costumes cost the same amount, how much did each student have to pay for his or her costume?
$7
Emma packed gift bags to give to the 5 guests at her party. Each bag has 2 rings, 3 notebooks, 3 stickers, and 2 pencils. How many total items does she pack?
50 items
What are multiples?
Is 7 a multiple of 42?
Multiples are products of a number times any other number.
No, 7 is not a multiple of 42 but 42 is a multiple of 7.
What is the definition of generalization?
To find a rule or pattern that is always true
Show groups and counters to represent 4 x 8
4 circles with 8 counters in each = 32 counters
Define and give an example of the distributive property of multiplication.
I can break apart large facts into smaller, known facts.
10 x 6 = (5 x 6) + (5 x 6)
Anything divided by one equals itself.
12 divided by 1 equals 12.
Leah has only nickels in her piggy bank. A nickel is worth 5 cents. Which could be the value of the money in Leah’s piggy bank?
Any multiple of 5
Isaiah places 12 pieces of gum into 4 equal stacks. Andrea places 20 pieces of gum into 5 equal stacks. Who has more pieces of gum in each stack? Use equations to justify your answer.
Andrea because 20 divided by 5 equals 4 and 12 divided by 4 equals 3 and 4 > 3
Molly made 10 friendship bracelets on Saturday and 14 more on Sunday. She gave all the bracelets to 8 friends. Each friend got an equal number of bracelets. How many bracelets did each friend get?
(10 + 14) / 8 = 3
Solve without computing
7 x 0 >, =, or < 7 x 2
7 x 0 is less than because anything times 0 equals 0 and 0 is less than any other whole number
Name all of the parts of a division equation and what they mean
Dividend= the number being divided (the total)
Divisor= the number you're dividing by
Quotient= the answer
Show 3 strategies to solve 9 x 6
9 x 6 = 54
Define and give an example of the associative property of multiplication.
(6 x 7) x 3 or 6 x (7 x 3). I can group the factors in any order and still get the same product
What is the rule for dividing with 0? Give an example with numbers and pictures.
You cannot have zero as your divisor but you can have zero as your dividend. Zero divided by anything equals 0.
Using the properties of multiplication, write 5 × 7 in two different ways. Name the properties used.
5 x 7 = 7 x 5 =35
5 x 7 = (2 x 7) + (3 x 7)
Distributive and commutative property.
A coach brought a cooler with 20 bottles of water for the baseball team. Each player gets the same number of bottles of water. There are 9 players on the team. Write a true statement about this scenario.
Each player will get 2 water bottles. There will be 2 left over.
Elizabeth orders 4 movie tickets. Each ticket costs $10. She has to pay a one-time service fee of $2. Write and solve an equation to show how much money Elizabeth spends in all.
(4 x 10) + 2 = $42
Name the rules for multiplying by even and odd numbers.
even x even = even
even x odd = even
odd x odd = oddName all of the parts of a multiplication equation and what they represent. Also, define multiplication.
Factors are the numbers I'm multiplying. A product is the total.