Topic 1
Draw the array that represents this equation:
4 X 5 = ?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
The Zero Property tells us that 0 X 2 = ?
0
The identity property tells us that 9 x 1 = ?
9
Andy and Kendra are sharing a bowl of grapes. They divide the grapes into 2 equal groups.
There are no grapes left in the bowl.
Is the number of grapes even or odd?
Even
Write the fact family for 3, 6, and 18.
3 X 6 = 18
6 X 3 = 18
18 ÷ 6 = 3
18 ÷ 3 = 6
Is 45 a multiple of 5? How do you know?
Yes - 5 X 9 = 45
Solve:
4 X 6 = ?
24
32 = ? × 4
56 ÷ 7 = ?
? × ? = 64
What number will make all of Drew’s equations true?
8
Fill in the missing numbers:
4 groups of ?
? + ? + ? + ? = 36
4 X ? = 36
4 groups of 9
9 + 9 + 9+ 9 = 36
4 X 9 = 36
Use the commutative property to write a related equation:
8 X 5 = 40
5 X 8 = 40
Ben makes the generalization that a 4s fact can be broken into two 2s facts.
Complete the equation to test his generalization.
4 × 7 = ( ? × 7) + ( ? × 7) = ? + 14 = ?
4 X 7 = (2 X 7) + (2 X 7) = 14 + 14 = 28
Five friends equally share 20 strawberries. How many strawberries does each friend get?
4 Strawberries
Use a number line to show how to multiply 3 X 4 = ?
3 X 4 = 12
** See teacher for example
A game has 9 rows of playing cards. There are 8 cards in each row. How many playing cards are there? Show your answer with a model!
9 X 8 = 72
** See teacher for example of model
Write 2 different expressions that you can use to find 5 × 2 × 3?
(5 X 2) X 3 = ?
5 X (2 X 3) = ?
Draw an array to show 6 x 4 = ?
Use a line to divide the array into 2 smaller arrays and solve.
(more than one answer)
Kayla uses repeated subtraction to find 32 ÷ 4. Show how many groups of 4 Kayla subtracts?
8 Groups
32 - 4 = 28
28 - 4 = 24
24 - 4 = 20
20 - 4 = 16
16 - 4 = 12
12 - 4 = 8
8 - 4 = 4
4 - 4 = 0
There are 2 boxes of crayons on each table. There are 4 tables. There are 5 crayons in each box.
How many crayons are there in all?
1) What is the hidden question?
2) Solve the problem!
1) How many boxes of crayons are there?
2) 8 X 5 = 40 crayons
Jason broke up a large array into a 4 × 3 array and a 4 × 3 array. What was the large array that he started with? Draw a model and write an equation for his original array.
8 X 3 = 24
** See teacher for model
Anna buys 3 bags of popcorn and 4 waters at a snack shack.
She spends $21 in all. If the items are all the same price, how much does each item cost?
1) What is the hidden question?
2) Solve.
1) How many items did she buy?
2) 21 dollars, divided by 7 items = $3 each