3.oa.3 multiplication and division strategies arrays and drawings

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3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARR AYS AND DRAW INGS

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Page 1: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

3.OA.3

MULT

IPLIC

ATIO

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AND DIV

ISIO

N

STRAT

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AR

RA

YS

AN

D D

RA

WI N

GS

Page 2: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

GROUP SIZE UNKNOWN - ARRAY

If 18 apples are arranged into 3 equal groups. How many apples will be in each group?

Page 3: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

NUMBER OF GROUPS UNKNOWN - ARRAY

I have 28 pieces of gum for my friends. Each friend gets 4 pieces. How many friends do I have?

Page 4: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

UNKNOWN PRODUCT - ARRAY

What multiplication problem is represented by the drawing below?

Page 5: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

PRODUCT UNKNOWN– AREA MODEL ARRAYI have 18 packs of markers. Each pack has 4 markers in it. How many markers do I have in total?

10 + 8

4

72 total markers

40 32

Page 6: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

TRUE OR FALSE

My friend multiplied these two numbers. Below is their reasoning. Are they correct? If not, what advice do you have for this student?

18 x 6 = 116 10 + 8

6 60 56

Page 7: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

WRITE A WORD PROBLEM REPRESENTED BY THE DRAWING

Page 8: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

DIVISION - AREA MODEL ARRAY GROUP SIZE UNKNOWNIf you have 48 inches of ribbon cut into 6 pieces, how long will

each piece measure?

48 inches of Ribbon

6 pieces

3 X 6 = 18

5 X 6 = 30

Page 9: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

DIVISION – ARRAY NUMBER OF GROUPS UNKNOWNIf 56 pieces of fruit are to be packed 4 to a bag. How many

bags will be needed?

Use a drawing or array to solve. Be prepared to share your answer and explain.

Page 10: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

DIVISION – ARRAY NUMBER OF GROUPS UNKNOWNSame Problem - If 56 pieces of fruit are to be packed 4 to a

bag. How many bags will be needed?

Can you explain this drawing? Is it correct?

Is there anything missing?

Page 11: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

DIVISION – ARRAY NUMBER OF GROUPS UNKNOWNSame Problem - If 56 pieces of fruit are to be packed 4 to a

bag. How many bags will be needed?

Can you explain this array? Is it correct?

Is there anything missing?

Page 12: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

GIVEN THE ARRAY WRITE A WORD PROBLEM

72 buttons

8 buttons

Page 13: 3.OA.3 MULTIPLICATION AND DIVISION STRATEGIES ARRAYS AND DRAWINGS

GIVEN THE ARRAY WRITE A WORD PROBLEM

How many shirts can I make if a shirt requires 8 buttons and I have a total of 72 buttons? 9 shirts

72 buttons

4 x 8 buttons

5 x 8 buttons

8 buttons

40 buttons

32 buttons