Arrays
What is an array?
It is a model of equal rows and columns
What does it mean to have equal groups?
Groups that have an equal amount in them
What is a tape diagram?
a multiplication or division model that shows equal groups
The hops show the groups and how many in each hop show the size.
What is the commutative property of multiplication?
It is the property that says it doesn't matter the order of factors, the product is still the same.
How many total items are in an array with 5 rows and 2 column? Show your answer on a white board
10
If you have 4 groups of 7, how many total items do you have?
28
Use a tape diagram to show 6 groups of 3
show on whiteboard
Show multiplication using a number line for 2 multiplied by 3.
Show on a whiteboard
Give an example of the associative property using number.
Show on whiteboard. Answers will vary
Draw an array to represent 12 items
answers vary
Create a word problem that involves equal groups of 5
answers vary
If a tape diagram shows 4 equal parts and the total is 36, how much is each part?
9
If you jump 4 times on a number line, starting at 0, what number do you end at if each jump is 8?
32
How does the distributive property work? Provide an example
It works by breaking up a bigger number into two smaller numbers, multiplying those to factors by the other factor and then adding the two products together.
If you have an array of 6 rows and 3 columns, how many groups can you form?
18
How would you represent 20 items in equal groups of 4?
5 circles with 4 dots in each one
Create a tape diagram for the equation 18= 6 x3
show on a whiteboard
How can you use the number line to divide 20 by 4?
You can hop by 4's until you get to 0 and you would have done this 5x.
Explain how the associative property can help in solving multiplication problems.
In the associative property, it doesn't matter how you group the factors, the product is always the same.
Explain how you can find the total number of items in an array using multiplication.
count the rows and then columns and
Describe how you can use division to find the number of groups in 25 items if each group has 5 items.
you put 5 items in each group in each group until you reach 20
Explain how tape diagrams can help solve multiplication problems.
They show the number of groups and how many are in each group in one part and the total in another part.
Explain the process of using a number line to model the equation 15 divided by 3.
Show on a number line.
Create a problem that illustrates the distributive property.
Answers will vary.