chapter 5 expressions. day….. 1.distributive property 2.parts of an expressions 3.combining like...
DESCRIPTION
Day 1TRANSCRIPT
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•
•
•
•
•
•
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.
A mathematical expression stating that two or more quantities are equal to one another.
Equation
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•
•
•
•
•
•
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:
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•
•
•
•
•
•
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 TermsEssential 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•
•
•
•
•
•
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….Show What I know
Pop QuizPlease clear your desk of everything except for a
pencil and a blank piece of paper.
Facing MathThis 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