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Chapter 5
Expressions
Day…..
1. Review and Quiz
2. Parts of an Expression
3. Simplifying Expressions
4. Evaluating Expressions
5. Writing Expressions
Day 1
Bell Work
Justify your Response
I Can….
identify when two expressions are
equivalent.
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
pOp Quiz
• Take out a pencil and a calculator
• Clear everything else from your desk
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.
Vocabulary•
•
•
•
The numerical part of a term followed by a variable.
Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )
Coefficient-
Constant-
Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )
A letter or symbol used to represent an unknown number.
Parts of an Expression
Example:
Partner Work
Please clear your desk of everything except for a pencil.
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 2
Bell Work
Justify your response.
Homework Check
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
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.
Vocabulary•
•
•
•
The numerical part of a term followed by a variable.
Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )
Coefficient-
Constant-
Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )
A letter or symbol used to represent an unknown number.
I Can….
identify parts of an expression using
mathematical terms.
Parts of an Expression
Examples:
Partner Work
Please clear your desk of everything except for a pencil.
Day 3
Bell Work
Justify Your Response
Homework Check
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
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.
Vocabulary•
•
•
•
The numerical part of a term followed by a variable.
Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )
Coefficient-
Constant-
Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )
A letter or symbol used to represent an unknown number.
I Can….
combine like terms to simplify expressions.
Combining Like Terms
Examples:
Your Turn….
Take out your marker boards
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 4
Bell Work
Justify Your Response
Homework Check
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
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.
Vocabulary•
•
•
•
The numerical part of a term followed by a variable.
Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )
Coefficient-
Constant-
Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )
A letter or symbol used to represent an unknown number.
I Can….
evaluate expressions using substitution.
Evaluating Expressions
Example:
Write the Room
Clear your desk of everything except for a
pencil.
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 5
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.
Vocabulary•
•
•
•
The numerical part of a term followed by a variable.
Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )
Coefficient-
Constant-
Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )
A letter or symbol used to represent an unknown number.
Mid-Unit Assessment
Please clear your desk of everything except for a pencil
and a calculator.
Wrap it Up
• Review
• Questions
• Exit Tickets
Not Used this Week
No School
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.
Watch This• ( 5 mins)