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Transcript
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.
