Vocabulary
groups that have the same number of items in each group
Equal Groups
Write the repeated-addition expression for 4 groups of 2. Then write the multiplication sentence.
2+2+2+2=4×2=8
Draw an array for 3×4. How many total items?
12 total items
There are 4 baskets. Each basket has 3 apples. How many apples total? Write a multiplication sentence.
4x3=12
There are 12 total apples
Complete: If a table shows "2 groups of 4" → answer = ? Write as a multiplication sentence.
2x4=8
a number sentence using multiplication (example: 3×4=123×4=12)
Multiplication Sentence
There are 7 bags with 2 marbles in each bag. Show this as repeated addition and as multiplication.
6+6+6=3×6=18
Explain what a row is, then explain what a column is.
How do you tell them apart?
A row is when items are organized in a horizontal line.
A column is when items are organized into a vertical line.
You can tell them apart because rows go across (like a boat being rowed across a lake) and columns go up and down (like the lower case "l" in the word column
A farmer has 6 rows of tomato plants with 4 plants in each row. How many tomato plants? Show repeated addition and multiplication sentence.
4+4+4+4+4+4=24
6x4=24
There are 24 tomato plants
Complete the table: labeled column = colors purple, green, teal
labeled row = numbers 4,8,12,16
Complete a table to show the combinations that can be made with this information, then write the multiplication sentence and solve
6 groups of 3 → 6×3=18
numbers multiplied together; in 6×46×4 the factors are 6 and 4
Factors
Ethan has 6 boxes with 4 crayons in each box. Show this as repeated addition and as a multiplication sentence. What is the product?
4+4+4+4+4+4=6×4=24
Use an array to show why 2×6 and 6×2 have the same product.
Should have drawn 2 rows of 6 (or 6 columns of 2)
Then you should have drawn 6 rows of 2 (or 2 columns of 6)
Either way you have a total of 12 items
A teacher puts 4 stickers on each of 9 students' papers. How many stickers used? Show multiplication and repeated addition.
4+4+4+4+4+4+4+4+4=36
9x4=36
36 stickers were used.
Use a simple tree diagram to show how to make 12 using equal groups of 3. Show the multiplication sentence.
12 → branches into 4 groups of 3 shown as 4×3=124×3=12 (or show four branches each with 3).
an arrangement of objects in rows and columns to show multiplication.
Array
Draw equal groups for 7×3 and find the total. Write the repeated addition sentence as well as the multiplication sentence.
3+3+3+3+3+3+3=7×3=21
Given an array with 8 columns and 4 rows, break it into two smaller arrays to show a related multiplication fact. Write both multiplication sentences and the total. (See Image)
4 x 4 =16 or 8 x 2 =16
There are 8 tables with 6 chairs at each table. How many chairs total? If 2 chairs are removed from each table, how many chairs remain? Show both multiplication sentences.
8x6=48; There are 48 chairs total
8x4=32; There are 32 chairs if 2 were removed from each table
A tree diagram lists combinations that make 24. Find at least three factor pairs for 24 and write the multiplication sentences.
a way to make a number by using different pairs of factors or a new set that has one item from each group of items.
Combination
Sam has 12 stickers and wants to share them into 3 equal groups. Show how to write this as repeated addition, a multiplication sentence, and explain whether it fits multiplication thinking.
Sharing 12 into 3 equal groups: repeated addition: 4+4+44+4+4; multiplication sentence: 3×4=123×4=12. This fits multiplication thinking (3 groups of 4)
A class lines up 6 students in each row and makes 5 rows. Draw or describe the array and write two multiplication sentences that show the same product (Commutative Property).
6 students per row × 5 rows → 6×5=306×5=30 and 5×6=305×6=30 (same product, order changed).
A school has 9 teams. Each team has 6 players. The coach needs to set up practice groups of 3 players each. How many practice groups can the coach make? Show multiplication thinking.
3x2=6 so each team can have 2 practice groups.
9teams x 2 practice groups = 18 practice groups
9x2=18
The coach can make 18 practice groups
Create 2 tree diagrams to show the total combinations that can be made from an ice cream menu that offers 6 flavors of ice cream (chocolate, vanilla, twist, strawberry, mint, and cookie dough). Each ice cream can be dipped in the 3 shell flavors (chocolate, white chocolate, butterscotch). Write the multiplication sentence 2 ways to show the product
first tree diagram starts with flavors then branches out with the shells then has 18 top branches for the combinations. 6x3=18
2nd tree diagram starts with the shells and branches out with the 6 different flavors then has 18 top branches to show the combinations. 3x6=18