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Properties of Math SWBAT identify the properties of operations.

Properties of Math SWBAT identify the properties of operations

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Page 1: Properties of Math SWBAT identify the properties of operations

Properties of MathSWBAT identify the properties of

operations

Warm Up

bullMs Dalton has 120 students On a recent assignment 75 of students got a passing grade How many students got a failing gradebull In a recent study 4 out of 5 people preferred Coke to Pepsi What percent of people preferred Coke

Commutative Property of Addition

13 + 8 = 8 + 13Changing the order of the numbers does not change the sum

Algebraically a + b = b + a

Commutative Property of Multiplication

12 5 = 5 12Changing the order of the numbers does not change the productAlgebraically a b = b a

Identity Property of Multiplication

9 1 = 9Multiplying a number by 1 leaves it unchangedAlgebraically a 1 = a

Identity Property of Addition

4 + 0 = 4Adding a number by 0 leaves it unchanged

Algebraically a + 0 = a

Associative Property of Multiplication

2(5 3) = (2 5)3When multiplying more than 2 numbers the way we group them does not change the product

Algebraically a(bc) = (ab)c

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 2: Properties of Math SWBAT identify the properties of operations

Warm Up

bullMs Dalton has 120 students On a recent assignment 75 of students got a passing grade How many students got a failing gradebull In a recent study 4 out of 5 people preferred Coke to Pepsi What percent of people preferred Coke

Commutative Property of Addition

13 + 8 = 8 + 13Changing the order of the numbers does not change the sum

Algebraically a + b = b + a

Commutative Property of Multiplication

12 5 = 5 12Changing the order of the numbers does not change the productAlgebraically a b = b a

Identity Property of Multiplication

9 1 = 9Multiplying a number by 1 leaves it unchangedAlgebraically a 1 = a

Identity Property of Addition

4 + 0 = 4Adding a number by 0 leaves it unchanged

Algebraically a + 0 = a

Associative Property of Multiplication

2(5 3) = (2 5)3When multiplying more than 2 numbers the way we group them does not change the product

Algebraically a(bc) = (ab)c

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 3: Properties of Math SWBAT identify the properties of operations

Commutative Property of Addition

13 + 8 = 8 + 13Changing the order of the numbers does not change the sum

Algebraically a + b = b + a

Commutative Property of Multiplication

12 5 = 5 12Changing the order of the numbers does not change the productAlgebraically a b = b a

Identity Property of Multiplication

9 1 = 9Multiplying a number by 1 leaves it unchangedAlgebraically a 1 = a

Identity Property of Addition

4 + 0 = 4Adding a number by 0 leaves it unchanged

Algebraically a + 0 = a

Associative Property of Multiplication

2(5 3) = (2 5)3When multiplying more than 2 numbers the way we group them does not change the product

Algebraically a(bc) = (ab)c

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 4: Properties of Math SWBAT identify the properties of operations

Commutative Property of Multiplication

12 5 = 5 12Changing the order of the numbers does not change the productAlgebraically a b = b a

Identity Property of Multiplication

9 1 = 9Multiplying a number by 1 leaves it unchangedAlgebraically a 1 = a

Identity Property of Addition

4 + 0 = 4Adding a number by 0 leaves it unchanged

Algebraically a + 0 = a

Associative Property of Multiplication

2(5 3) = (2 5)3When multiplying more than 2 numbers the way we group them does not change the product

Algebraically a(bc) = (ab)c

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 5: Properties of Math SWBAT identify the properties of operations

Identity Property of Multiplication

9 1 = 9Multiplying a number by 1 leaves it unchangedAlgebraically a 1 = a

Identity Property of Addition

4 + 0 = 4Adding a number by 0 leaves it unchanged

Algebraically a + 0 = a

Associative Property of Multiplication

2(5 3) = (2 5)3When multiplying more than 2 numbers the way we group them does not change the product

Algebraically a(bc) = (ab)c

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 6: Properties of Math SWBAT identify the properties of operations

Identity Property of Addition

4 + 0 = 4Adding a number by 0 leaves it unchanged

Algebraically a + 0 = a

Associative Property of Multiplication

2(5 3) = (2 5)3When multiplying more than 2 numbers the way we group them does not change the product

Algebraically a(bc) = (ab)c

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 7: Properties of Math SWBAT identify the properties of operations

Associative Property of Multiplication

2(5 3) = (2 5)3When multiplying more than 2 numbers the way we group them does not change the product

Algebraically a(bc) = (ab)c

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 8: Properties of Math SWBAT identify the properties of operations

Associative Property of Addition

(4 + 2) + 8 = 4 + (2+8)When adding more than 2 numbers the way we group them does not change the sum

Algebraically (a + b) + c = a + (b + c)

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 9: Properties of Math SWBAT identify the properties of operations

Zero Property of Multiplication

15 0 = 0Multiplying a number by 0 is always 0

Algebraically a 0 = 0

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 10: Properties of Math SWBAT identify the properties of operations

High School Vs College B-ball

A standard size high school basketball court is 84 ft long and 50 ft wide in the shape of a rectangle

To find the area of the court you can

use the formula of A = l w

A= 84 ft 50 ft

A= 4200 ft2

84 ft

50 ft

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 11: Properties of Math SWBAT identify the properties of operations

High School vs College B-ball

Did you know that a college basketball court is usually 10 ft longer than a high school basketball court

84 ft 10 ft

50 ft

Can you think of a method to find the area of the college basketball court

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 12: Properties of Math SWBAT identify the properties of operations

High School vs College B-ball

We could do 84 50 + 10 50 4200 + 500

4700 ft2

Or we could do 50(84 + 10)50(94)4700 ft2

Why parenthesis

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 13: Properties of Math SWBAT identify the properties of operations

The Distributive Property

The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis

Ex 2(3 + 5) = 2 3 + 2 5

8(3 + x) =

a(3 + 5) =

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 14: Properties of Math SWBAT identify the properties of operations

The Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number

Ex 2(x + 5) = 2 x + 2 5

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 15: Properties of Math SWBAT identify the properties of operations

Practice

Use the distributive property to re-write each expressiona) 10( a + 7) = b) x( 3 + 10) = c) 2(x + 10) =d) 7(x + 3) =e) a(10 + 9) = f) 3x(x + 10) =

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 16: Properties of Math SWBAT identify the properties of operations

Making it Stick

Associative property of AdditionAssociate with a GROUP of friends

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 17: Properties of Math SWBAT identify the properties of operations

Making it Stick

Identity Property of AdditionYourself

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 18: Properties of Math SWBAT identify the properties of operations

Making it Stick

Commutative Property of MultiplicationSwap or Exchange

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 19: Properties of Math SWBAT identify the properties of operations

Practice Makes Perfect

Complete the following worksheets independently

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket
Page 20: Properties of Math SWBAT identify the properties of operations

Exit Ticket

1Evaluate the expression below and list the properties that you used

12 + (8 + 46) + 802 Which property of multiplication is shown 3 1 = 3

a Commutativeb Associativec Identity

  • Properties of Math
  • Warm Up
  • Commutative Property of Addition
  • Commutative Property of Multiplication
  • Identity Property of Multiplication
  • Identity Property of Addition
  • Associative Property of Multiplication
  • Associative Property of Addition
  • Zero Property of Multiplication
  • High School Vs College B-ball
  • High School vs College B-ball
  • High School vs College B-ball (2)
  • The Distributive Property
  • The Distributive Property (2)
  • Practice
  • Making it Stick
  • Making it Stick (2)
  • Making it Stick (3)
  • Practice Makes Perfect
  • Exit Ticket