Download Chapter 5 Algebraic Expression part 2

Chapter 5
Expressions
Day…..
1. Distributive Property
2. Parts of an Expressions
3. Combining Like Terms
4. Equivalent Expressions
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.
Vocabulary
•
Term-
Each part of an algebraic expression or equation separated by a plus
or minus sign. ( ex. 2x, -3, y, +10 )
•
• Coefficient-
A letter or symbol used to represent an unknown number.
The numerical part of a term followed by a variable.
• Constant- Part of an algebraic expression that is unchanged by a variable.
A numerical term without a variable ( ex. +5 or -10 )
• Equation
A mathematical expression stating that two or more
quantities are equal to one another.
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….
Use algebraic properties
to generate equivalent
expressions.
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
• 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.
Vocabulary
• 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.
• Coefficient- The numerical part of a term followed by a variable.
• Constant- Part of an algebraic expression that is unchanged by a variable.
A numerical term without a variable ( ex. +5 or -10 )
I Can….
identify parts of an
expression using
mathematical terms.
Parts of an Expression
Examples:
Practice Makes
Perfect
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
• 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.
Vocabulary
• 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.
• Coefficient- The numerical part of a term followed by a variable.
• Constant- Part of an algebraic expression that is unchanged by a variable.
A numerical term without a variable ( ex. +5 or -10 )
I Can….
combine like terms to
simplify expressions.
Combining Like Terms
Essential Understanding:
•You can simplify and expression by combining like terms.
Example:
•Only like terms can be combined (added). To be considered alike terms must have
the same coefficient with the same exponents.
Example:
•Terms can be coded and rearranged using commutative property to make
simplifying easier.
Examples:
•When simplifying an expression you must follow the order of operations.
Examples:
•Unlike like terms can be multiplied but cannot be combined.
Example:
Your Turn….
Take out your marker boards
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 4
Bell Work
Justify Your Response
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
• 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.
Vocabulary
• 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.
• Coefficient- The numerical part of a term followed by a variable.
• Constant- Part of an algebraic expression that is unchanged by a variable.
A numerical term without a variable ( ex. +5 or -10 )
I Can….
Show What I know
Pop Quiz
Please clear your desk of everything except for a
pencil and a blank piece of paper.
Facing Math
This is an individual task. If you do not finish
during class it must be turned in on Monday.
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 5
No School