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Chapter 5 Expressions. Day…. Review and Quiz Parts of an Expression Simplifying Expressions Evaluating Expressions Writing Expressions. Day 1. Bell Work. Justify your Response. I Can…. identify when two expressions are equivalent . Properties.
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Day….. • Review and Quiz • Parts of an Expression • Simplifying Expressions • Evaluating Expressions • Writing Expressions
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 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -
Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-
Parts of an Expression Example:
Partner Work Please clear your desk of everything except for a pencil.
Wrap it Up • Review • Questions • Exit Tickets
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 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -
Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-
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.
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 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -
Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-
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
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 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -
Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-
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
Bell Work Justify Your Response
Vocabulary • A combination of variables, numbers, and at least one operation. Ex. 4x + 3 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -
Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-
Mid-Unit Assessment Please clear your desk of everything except for a pencil and a calculator.
Wrap it Up • Review • Questions • Exit Tickets