# Chapter 5 Expressions. Day….. 1.Order of OperationsOrder of Operations 2.Algebraic PropertiesAlgebraic Properties 3.Algebraic Properties Cont….Algebraic.

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Chapter 5 Expressions

Day….. 1.Order of OperationsOrder of Operations 2.Algebraic PropertiesAlgebraic Properties 3.Algebraic Properties Cont….Algebraic Properties Cont…. 4.Quiz and ReviewQuiz and Review 5.No SchoolNo School

Day 1

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…. Solve expressions involving multiple operations.

Order of Operations Essential 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:

Wrap it Up Review Questions Exit Tickets

Day 2

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) http://learnzillion.com/lessons/137-combine- parts-of-an-expression-using-the-associative- property Commutative property: http://learnzillion.com/lessons/2357-the- commutative-property (3 mins) http://learnzillion.com/lessons/2357-the- commutative-property

Wrap it Up Review Questions Exit Tickets

Day 3

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- algorithmhttp://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

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.

p O p 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

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.

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

1 st Rotation

2 nd Rotation

3 rd Rotation

4 th Rotation

Group Work Before we begin……. 1.Complete an exit ticket. 2.Pack up everything except for your pencil and calculator. 3.Sit quietly unit everyone is ready.

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