chapter 5 expressions

Chapter 5

Expressions

Day…..

1. Order of Operations

2. Algebraic Properties

3. Algebraic Properties Cont….

4. Quiz and Review

5. No School

Day 1

Bell Work

Justify your Response

Vocabulary•

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•

•

•

•

•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Variable -A letter or symbol used to represent an unknown number.

I Can….

Solve expressions involving multiple

operations.

Order of OperationsEssential Understanding: Order of operation is the rule that states the order in which an expression or equation is solved. You can remember this order with simple mnemonic devices such as,

Please Excuse My Dear Aunt Sally.

Where:

P stands for parenthesis

E stands for Exponents

M stands for multiply

D stands for divide

A stands for addition

S stands for subtraction

Example:

Group Work

Please take out your maker boards

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 2

Bell Work

Justify your response.

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Variable -A letter or symbol used to represent an unknown number.

I Can….

Apply the properties of operations to generate

equivalent expressions.

Properties• Commutative- states that the order in which numbers are added

or multiplied does not change the sum or product. Ex: 4+3=7 or 3+4=7

• Associative- states that the way in which numbers are grouped does not change the sum or product.

Ex: 1 + (2+3) = 6 or (1+2) +3= 6• Identity- states that any number added to 0 or multiplied by 1 will

be itself. Ex: 6 + 0 = 6 or 4 x 1 = 4

• Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.

Ex: 4(2 + 3) = 8 +12

Algebraic Properties

Essential Understanding:The algebraic properties can be used to rewrite expressions or generate equivalent expressions. For instance, the expression 4 + 5 + 6 – 2y can be rewritten using the commutative property of addition to rearrange the numbers like this 6 + 4+ 5 – 2y.

Examples:

Watch This• Associative property: http://

learnzillion.com/lessons/137-combine-parts-of-an-expression-using-the-associative-property ( 5 mins)

• Commutative property: http://learnzillion.com/lessons/2357-the-commutative-property (3 mins)

Group Work

Please take out your maker boards

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 3

Bell Work

Justify Your Response

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Variable -A letter or symbol used to represent an unknown number.

I Can….

Apply the properties of operations to simplify

expressions.

Properties• Commutative- states that the order in which numbers are added

or multiplied does not change the sum or product. Ex: 4+3=7 or 3+4=7

• Associative- states that the way in which numbers are grouped does not change the sum or product.

Ex: 1 + (2+3) = 6 or (1+2) +3= 6• Identity- states that any number added to 0 or multiplied by 1 will

be itself. Ex: 6 + 0 = 6 or 4 x 1 = 4

• Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.

Ex: 4(2 + 3) = 8 +12

Distributive Property

Essential Understanding:The distributive property can be used to rewrite algebraic expressions by multiplying the number outside the parenthesis by each number, term, or variable inside.

Examples:3(p+2) can be rewritten as 3p + 6

Watch This• Distributive property: http://learnzillion.com/lessons/2338-create-an-equivalent-expression-using-the-standard-algorithm ( 5 mins)

Your Turn….

• Clear your desk of everything but a calculator and a pencil.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 4

Bell Work

Justify Your Response

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Variable -A letter or symbol used to represent an unknown number.

Properties• Commutative- states that the order in which numbers are added

or multiplied does not change the sum or product. Ex: 4+3=7 or 3+4=7

• Associative- states that the way in which numbers are grouped does not change the sum or product.

Ex: 1 + (2+3) = 6 or (1+2) +3= 6• Identity- states that any number added to 0 or multiplied by 1 will

be itself. Ex: 6 + 0 = 6 or 4 x 1 = 4

• Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.

Ex: 4(2 + 3) = 8 +12

I Can….

Identify parts of an expression using

mathematical terms (sum, term, product, factor,

quotient, and coefficient.

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 5

No School

Not Used this Week

Bell Work

Justify Your Response

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Variable -A letter or symbol used to represent an unknown number.

Practice

Please take out your maker boards

Wrap it Up

• Review

• Questions

• Exit Tickets

Computer Station• www.learnzillion.com (6 minutes per video)• www.tenmarks.com (10 questions per assignment)

Station Rotations

1. Write your exit ticket.

2. Pack up everything but a pencil.

3. You will have 15 minutes to complete each rotation

1st Rotation

2nd Rotation

3rd Rotation

4th Rotation

Group WorkBefore we begin…….1. Complete an exit ticket.2. Pack up everything except for your

pencil and calculator.3. Sit quietly unit everyone is ready.