Chapter 5 Expressions

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

Day 1

Bell Work Complete the provided page.

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 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

Group Work Please take out your maker boards

Wrap it Up Review Questions Exit Tickets

Day 2

No School

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 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 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

Day 3

Bell Work

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 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 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…. Apply the properties of operations to generate equivalent expressions.

Algebraic Properties Essential Understanding: Algebraic properties can be used to rewrite expressions or generate equivalent expressions. For instance, the expression can be rewritten like this using commutative property of addition to rearrange the numbers. Examples of other algebraic properties: I.1 x 4 x 3 = 4 x 3 x 1 II.(6 + 3) +8 = (8 +3) + 6 III.9 x (3 x 2) = (9 x 3) x 2 IV.4(3 – 2)

Watch This Associative property: parts-of-an-expression-using-the-associative- property ( 5 mins) parts-of-an-expression-using-the-associative- property Commutative property: commutative-property (3 mins) commutative-property

Group Work Please take out your maker boards

Wrap it Up Review Questions Exit Tickets

Day 4

Bell Work

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 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 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…. Apply the properties of operations to simplify expressions.

Distributive Property Essential Understanding: Distributive property can be used to rewrite algebraic expressions by multiplying the number outside the parenthesis by each number, term, or variable inside. For instance the expression 3(p+2) can be rewritten as 3p + 6 Examples: I.2(3+7) II.(6-3)3 III.5(3+6d) IV.(4-a)8 V.(5b+6c)8 VI.9(ab + 4c)

Watch This Distributive property: 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 5

Bell Work Use distributive property to expand the following expressions. I.5(4+6) II.4(x+b) III.3(4-x) IV.(2+3)7 V.(8-k)5 VI.y(6+w) Justify Your Methods

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 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 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

p O p Quiz Take out a pencil and a calculator Clear everything else from your desk

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.

Wrap it Up Review Questions Exit Tickets