Commutative, distributive, and associative

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Presentation transcript:

Commutative, distributive, and associative Properties of math Commutative, distributive, and associative

Monday Commutative Property

Commutative Property The property which states the order in which two numbers are multiplied does not change the product. Think fact families and arrays 6X4=24 4X6=24

Commutative property poem I have a number sentence. I write two factors down. When they’re multiplied together, A product can be found! Now flip flow these factors, And what do you see’; The answer is still the same because I just did the commutative property!

Tasks Cut out foldable from Chapter 9 in text books stating on page 493 Complete arrays and fact families page, connecting it to the commutative property

Wednesday Distributive property

Distributive Property The distributive propery allows you to decompose (break down) one factor. Then you can use the smaller known facts to find products. 8 3

Order of operations (pemdas) Please- (Parentheses) Excuse- exponents My- Multiplication x Dear- Division ÷ Aunt – Addition + Sally –Subtraction -

S A P E M D Subtraction Addition Parenthesis Exponents Multiplication Division S Subtraction A Addition

Try these problems (3x4)+(5x7) 3x4=12 5x7=35 12+35=47 What comes first?

Try these problems (4x6)+(2x3) 4x6=24 2x3=6 24+6=30 What comes first?

What is the same as: (5x2)+(5x4) Because adding the 2 and 4 together, makes the factor 6 and five multiplied by 6=30

What is the same as: (4x5)+(4x2) Because adding the 5 and 2 together, makes the factor 7 and 4 multiplied by 7=28

Task Complete pages 501-504 in MyMath book

Associative property Friday

Associative property States that the grouping of factors does not change the product. Example: 3 x5 x4 is the same as 4 x 5 x 3

4 x 3 x 2 Break it down: 4X 3= 12 12 x 2 = 24

On vacation a family took 4 cars On vacation a family took 4 cars. In each car there were 2 girls and 5 boys. How many people went on the vacation? 4X (2+5) 2X(4+5) 5X (2+4)

Which one does not equal the same as 4X6? (4x1) +(4X6) (4x2)+ (4x4) 4+ (6x1)

Review for Unit 2B Test November 6th

Write a multiplication sentence (problem) that has the same product as 2x8.

What is the inverse sentence that will solve 24÷𝟔=___

Which problem has the product of 18 6X4 2X8 2X9 3X7

Sara is making treat bags for her class of 6 students Sara is making treat bags for her class of 6 students. She puts 5 pieces of candy in each of their bags. Write a multiplication sentence to match this problem.

Each basket has 8 pears. We have 32 pears. How many baskets do we have? 4 6 Multiplication or division? Do you know the total?

I have 63 pages of homework I have 63 pages of homework. If I complete 7 pages a day, how many days will it take me to complete my homework? 63 7 9 8 Multiplication or division? Do you know the total?

1. What multiplication sentence does this array represent? **Hint: Remember rows first then columns 1. What multiplication sentence does this array represent? 2. What would the reverse (opposite) sentence be?

Ms. Winskey has 14 cookies. Collin brought her 10 more Ms. Winskey has 14 cookies. Collin brought her 10 more. If she put all of her cookies in bags of 4, how many cookies will be in each bag? **Hint 2 step problem

15 third graders are going on a field trip 15 third graders are going on a field trip. IF a bus can only hold 6 students, how many busses will they need? ***are you going to leave anyone out?

Write a multiplication sentence with the product of 16 but the factors can not be 4x4.

In class there are 3 girls. Each girl has 2 bows in her hair In class there are 3 girls. Each girl has 2 bows in her hair. On each bow there are 4 flowers. How many flowers are there? **Hint: What does the word EACH mean in this problem? Do you know the total or are you trying to find the total?

Write a the number sentences for the fact family: 3,7,21 **Hint 4 sentences

Which one does not equal the same as 4X6? (4x1) +(4X6) (4x2)+ (4x4) 4+ (6x1)

You have 27 cherries. You have 3 bowls You have 27 cherries. You have 3 bowls. Each bowl gets the same number of cherries. How many cherries are in each bowl?

You have 21 fish. You have 3 fish tanks You have 21 fish. You have 3 fish tanks. Each tank has the same number of fish. How many fish are in each tank?

How would I use the distributive property to solve 5x9? (5x3)+(5X6) 9x6 (5X1)+(5X9) (9X4)+(5X1) **Break down one factor

On vacation a family took 4 cars On vacation a family took 4 cars. In each car there were 2 girls and 5 boys. How many people went on the vacation? 4X (2+5) 2X(4+5) 5X (2+4)