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Monday, Oct. 17, 2011 Bellwork : Integer Quiz 13-S. -. Notes from Videos on Associative, Distributive & Commutative Properties on Foldable. 1.
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Monday, Oct. 17, 2011Bellwork: Integer Quiz 13-S - Math 7: 10/17/2011
Notes from Videos on Associative, Distributive & Commutative Properties on Foldable 1 Math 7: 10/17/2011
Conversation: SilentHelp: Raise HandActivity: Notetaking from videoMovement: In SeatsParticipation: Watching, listening, taking notes Math 7: 10/17/2011
Notes from Lesson 3-1 Using PowerPoint in Your Home Directory 2 Math 7: 10/17/2011
Conversation: Silent, whisper on-taskHelp: Raise HandActivity: Independent work, notetakingMovement: In SeatsParticipation: Working quietly on laptop Math 7: 10/17/2011
Homework 3 p.131 #1-6 p.133 #41 & 42 p.53-54 CYP a-e Math 7: 10/17/2011
Properties Foldable: Notes from Video Associative Property +, x PROPERTIES Commutative Property +, x Distributive Property
Properties Foldable: INSIDE Associative Property of Addition Grouping does not change the sum a + (b + c) = (a + b) + c 3 + (7 + 8) = (3 + 7) + 8 Commutative Property of Addition Order does not change the sum a + b + c = a + c + b 3 + 7 + 8 = 3 + 8 + 7 Distributive Property The product of a number and a sum is the same as the sum of the products of the number and each addend. Associative Property of Multiplication Grouping does not change the product a (b c) = (a b) c 3 (2 4) = (3 2) 4 PROPERTIES Commutative Property of Multiplication Order does not change the product a b c = a c b 3 2 4 = 3 4 2 Distribute the number out to each of the addends a(b + c) = ab + ac 3(7 + 8) = 3(7) + 3(8)
Lesson 3-1 Writing Expressions & Equations Main Idea: Write verbal phrases and sentences as simple algebraic expressions and equations. 2 Math 7: Lesson 3-1: Writing Expressions & Equations
Think! Getting Ready! Deon has 20 songs on his iPod, but his friends all have lots more. For example, Alexia has 70 songs more than Deon. What operation would you use (+,-,x,÷) to find how many songs Alexia has? Manuel has 8 times as many songs as Deon. What operation would you use (+,-,x,÷) to find out how many songs Manuel has? Math 7: Lesson 3-1: Writing Expressions & Equations
Notes Clues to Operations Words and phrases in problems often suggest addition, subtraction, multiplication and division. Examples: Math 7: Lesson 3-1: Writing Expressions & Equations
Notes Example: Write the phrase five dollars more than Jennifer earnedas an algebraic expression. Words five dollars more than Jennifer earned Variable Let d represent the number of dollars Jennifer earned Expressiond + 5 Math 7: Lesson 3-1: Writing Expressions & Equations
CW Practice: CYP a (p128) Write the phrase as an algebraic expression. Words 3 more baskets than the Bulls scored Variable Expression Math 7: Lesson 3-1: Writing Expressions & Equations
Notes Remember! • Expressions are phrases and do not have an equal sign. • Ex: z + 6, 8x, 9 - a • Equations are sentences and contain an equals sign. • Ex: z + 6 = 9, 8x = 32, 9 – a = 3 Math 7: Lesson 3-1: Writing Expressions & Equations
Notes Example: Write the sentence as an algebraic equation: six less than a number is 20. Words six less than a number is 20 Variable Let nrepresent the number Expressionn– 6 = 20 Math 7: Lesson 3-1: Writing Expressions & Equations
Notes Example: Write the sentence as an algebraic equation: three times Jose’s age equals 12. Words three times Jose’s age equals 12 Variable Let a represent the number Expression3a = 12 Math 7: Lesson 3-1: Writing Expressions & Equations
CW Practice: CYP b & c (p129) Remember! • Seven more than a number is 15 • Five times the number of students is 250 Words Variable Expression Write each sentence as an algebraic expression. Math 7: Lesson 3-1: Writing Expressions & Equations
CW PASS Practice: Which problem situation matches the equation x – 5.83 = 3.17? Tyler ran 3.17 kilometers. His friend ran the same distance 5.83 seconds faster than Tyler. What is x, the time in seconds that Tyler ran? Lynn and Heather measured the length of worms in science class. Lynn’s worm was 5.83 centimeters long, and Heather’s worm was 3.17 centimeters long. What is x, the average length of the worms? Keisha’s lunch cost $5.83. She received $3.17 in change when she paid the bill. What is x, the amount of money she gave the cashier? Mr. Carlos paid $3.17 for a notebook that originally cost $5.83. What is x, the amount of money that Mr. Carlos saved. Math 7: Lesson 3-1: Writing Expressions & Equations
3 Homework: p.131 #1-6 p.133 #41 & 42 p.53-54 CYP a-e Math 7: Lesson 3-1: Writing Expressions & Equations