Transcript Welcome to 6th Grade Ma+h

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
• Algebraic Expressions - A combination of variables, numbers, and at least
one operation. Ex. 4x + 3
• Equivalent Expressions- Expressions that have the same value.
Ex. 5+9 = 20-6
To find the value of an algebraic expression by replacing variables
Evaluate•
with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57
• Numerical Expression - A combination of numbers and operations. Ex.
10 + 5 - 8
• Order of Operations- The rules that tell which operation to preform first
when more than one operation is used. (PEMDAS)
• Properties - 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:
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
• Algebraic Expressions - A combination of variables, numbers, and at least
one operation. Ex. 4x + 3
• Equivalent Expressions- Expressions that have the same value.
Ex. 5+9 = 20-6
To find the value of an algebraic expression by replacing variables
Evaluate•
with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57
• Numerical Expression - A combination of numbers and operations. Ex.
10 + 5 - 8
• Order of Operations- The rules that tell which operation to preform first
when more than one operation is used. (PEMDAS)
• Properties - 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-combineparts-of-an-expression-using-the-associativeproperty ( 5 mins)
• Commutative property:
http://learnzillion.com/lessons/2357-thecommutative-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
• Algebraic Expressions - A combination of variables, numbers, and at least
one operation. Ex. 4x + 3
• Equivalent Expressions- Expressions that have the same value.
Ex. 5+9 = 20-6
To find the value of an algebraic expression by replacing variables
Evaluate•
with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57
• Numerical Expression - A combination of numbers and operations. Ex.
10 + 5 - 8
• Order of Operations- The rules that tell which operation to preform first
when more than one operation is used. (PEMDAS)
• Properties - 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-anequivalent-expression-using-the-standardalgorithm ( 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
• Algebraic Expressions - A combination of variables, numbers, and at least
one operation. Ex. 4x + 3
• Equivalent Expressions- Expressions that have the same value.
Ex. 5+9 = 20-6
To find the value of an algebraic expression by replacing variables
Evaluate•
with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57
• Numerical Expression - A combination of numbers and operations. Ex.
10 + 5 - 8
• Order of Operations- The rules that tell which operation to preform first
when more than one operation is used. (PEMDAS)
• Properties - 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
• Algebraic Expressions - A combination of variables, numbers, and at least
one operation. Ex. 4x + 3
• Equivalent Expressions- Expressions that have the same value.
Ex. 5+9 = 20-6
To find the value of an algebraic expression by replacing variables
Evaluate•
with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57
• Numerical Expression - A combination of numbers and operations. Ex.
10 + 5 - 8
• Order of Operations- The rules that tell which operation to preform first
when more than one operation is used. (PEMDAS)
• Properties - 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 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.