Students and Teachers will be able to Understand

Students and Teachers will be able to • Understand multiplication and division. • Know various models for arithmetic operations (multiplication, and division) with natural numbers. • Apply multiplication and division to solve word problems.

2+2 = 4 2+2+2 = 6 2+2+2+2 = 8

4 paper clips in each column 3 columns. That is 3 sets of 4. I can add 4 + 4 or I could say 3 x 4. Now how many are there?

You could have said 3 + 3 or 2 + 2. Using multiplication You might have said 2 x 3 or 3 x 2. The answer will be the same for all!

If you said 3 x 4 or 4 x 3 you are correct. What is the answer?

Great! 2 x 4 or 4 x 2. What is the product? (that means answer when you are multiplying!

I have 12 counters. How could I arrange them into equal rows?

What number sentences could you write to go with this array? 2 x 6 = 12 6 x 2 = 12 6 + 6 = 12 2 + 2 + 2 + 2 = 12

What number sentences could you write to go with this array? 3 x 4 = 12 4 + 4 = 12 3 + 3 + 3 = 12 4 x 3 = 12

What number sentences could you write to go with this array? 2 x 10 = 20 10 x 2 = 20 10 + 10 = 20 2+2+2+2+2+2= OR … 20

5 x 4 = 20 4 x 5 = 20 4 + 4 + 4 = 20 5 + 5 + 5 = 20

6 counters 14 counters 15 counters 9 counters 8 counters 18 counters

2 x 3=6 3+3=6 3 x 2=6 2+2+2=6

2 x 7 = 14 7 x 2 = 14 7 + 7 = 14 2 + 2 + 2 + 2 = 14

5 x 3 = 15 3 x 5 = 15 3 + 3 + 3 = 15 5 + 5 = 15

3 x 3=9 3+3+3=9

2 x 4=8 4+4=8 4 x 2=8 2+2+2+2 =8

2 x 9 = 18 9 x 2 = 18 9 + 9 = 18 2 + 2 + 2 = 18

4 1 2 3 4 5 6 7 8 9 10 11 12 3 4 X 3 = 12

3 1 2 3 4 5 6 7 8 9 10 11 12 4 3 X 4 = 12

Tiger has no money. Horse has no He has money. 0 Monkey has no money. He has money. 0+0+0 = 3 x 0 0

Multiplying by Zero Property of Multiplication- any number times zero equals ________. 5 x 0= 7 x 0= 8 x 0= 22 x 0 = 17 x 0 = 10 x 0 = 3 x 0= 100 x 0 =

Multiplying by One Property of One for Multiplication- any number times one equals ________. 3 x 1= 3 5 x 1= 5

Multiplying by One Complete the Problems Below: 5 x 1= 7 x 1= 8 x 1= 22 x 1 = 17 x 1 = 10 x 1 = 3 x 1= 100 x 1 = 70 x 1 = 9 x 1=

Multiplying by Eleven Any number times 11 is times one doubled. 5 x 11 = 7 x 11 = 2 x 11 = 9 x 11 = 8 x 11 = 4 x 11 = 3 x 11 = 6 x 11 =

Multiplication Vocabulary 2 x 3 = 6

Multiply by Two �Multiplication is repeated ________. 2 + 2 + 2 = ____ �We have ____ groups of ____. � 4 x 2 = ____ # of groups # in each group

Multiply by Two �How many hearts? � 2 + 2 = ____ �We have ____ groups of ____. �____ x ____ = ____ # of groups # in each group

Multiply by Two �How many sunflowers? � 2 + 2 + 2 + 2 = ____ �We have ____ groups of ____. �____ x ____ = ____ # of groups # in each group

Multiplication Vocabulary 5 x 3 = 15

Multiply by Five �Multiplication is repeated ________. 5 + 5 = ____ �We have ____ groups of ____. � 3 x 5 = ____ # of groups # in each group

Multiplication Vocabulary 10 x 3 = 30

Multiplication Vocabulary 9 x 3 = 27

Multiply by Nine – The Finger Trick

6 x 8 = 48

2 2 2 2 2 × × × × × 1=2 2=4 3=6 4=8 5 = 10 6 = 12 7 = 14 8 = 16 9 = 18 10 = 20 3 3 3 3 3 × × × × × 1=3 2=6 3=9 4 = 12 5 = 15 6 = 18 7 = 21 8 = 24 9 = 27 10 = 30 4 4 4 4 4 × × × × × 1=4 2=8 3 = 12 4 = 16 5 = 20 6 = 24 7 = 28 8 = 32 9 = 36 10 = 40 5 5 5 5 5 × × × × × 1=5 2 = 10 3 = 15 4 = 20 5 = 25 6 = 30 7 = 35 8 = 40 9 = 45 10 = 50

Multiply by Three 3 x 1= 3 x 2=

Multiply by Three 3 x 3= 3 x 4=

Multiply by Three 3 x 5= 3 x 6=

Multiply by Three 3 x 7= 3 x 8=

Multiply by Three 3 x 9= 3 x 10 =

Multiply by Three 3 x 11 = 3 x 12 =

Multiply by Four 4 x 1= 4 x 2=

Multiply by Four 4 x 3= 4 x 4=

Multiply by Four 4 x 5= 4 x 6=

Multiply by Four 4 x 7= 4 x 8=

Multiply by Four 4 x 9= 4 x 10 =

Multiply by Four 4 x 11 = 4 x 12 =

Multiply by Six 6 x 1= 6 x 2=

Multiply by Six 6 x 3= 6 x 4=

Multiply by Six 6 x 5= 6 x 6=

Multiply by Six 6 x 7= 6 x 8=

Multiply by Six 6 x 9= 6 x 10 =

Multiply by Six 6 x 11 = 6 x 12 =

Multiply by Seven 7 x 1= 7 x 2=

Multiply by Seven 7 x 3= 7 x 4=

Multiply by Seven 7 x 5= 7 x 6=

Multiply by Seven 7 x 7= 7 x 8=

Multiply by Seven 7 x 9= 7 x 10 =

Multiply by Seven 7 x 11 = 7 x 12 =

Multiply by Eight 8 x 1= 8 x 2=

Multiply by Eight 8 x 3= 8 x 4=

Multiply by Eight 8 x 5= 8 x 6=

Multiply by Eight 8 x 7= 8 x 8=

Multiply by Eight 8 x 9= 8 x 10 =

Multiply by Eight 8 x 11 = 8 x 12 =

Multiply by Twelve 12 x 1 = 12 x 2 =

Multiply by Twelve 12 x 3 = 12 x 4 =

Multiply by Twelve 12 x 11= 12 x 12=

Multiply by Twelve 12 x 5 = 12 x 6 =

Multiply by Twelve 12 x 7 = 12 x 8 =

Multiply by Twelve 12 x 9 = 12 x 10=

Mixed Practice 2 SOLVE: 6 SOLVE: 8 7 3 5 x 5 4 3 x 10 9

1. There are 6 flowers pots. Each flower pot has 4 flowers. How may flowers are there altogether. 6 x 4 24 2. Ali has 8 bowls with 7 goldfish in each bowl. How many fish are there altogether 8 x 7 56 3. 7 jackets are hanging in the shop. Each jacket has 6 buttons. How many buttons in all. 7 x 6 42

Knowledge Test 1 2 3 4 5 6

12 bananas are shared equally between 3 chimpanzees. How many bananas does each chimpanzee get? 12 bananas are shared equally among 3 chimpanzees. 12 ÷ 3 =4 Each chimpanzee gets 4 bananas.

8 nuts are shared equally between 2 friends. How many nuts does each friend get? 8 nuts are shared equally among 2 friends. 8 ÷ 2 =4 Each friend gets 4 nuts.

15 5=3 15 3=5

Division as inverse of multiplication

Another Form of Division 1. The number to be divided is called dividend. 2. The number which divides is called divisor. 3. The number which comes out at the end is called quotient.

Review Multiplication and Division 2 x 3= 2 x 4= 3 x 7= 4 x 2= 5 x 3= 7 x 3= 4÷ 2 = 8÷ 4 = 6÷ 2 = 10 ÷ 5 = 15 ÷ 3 = 12 ÷ 6 =