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Get ready before the bell rings!
Take out homework and a pencil to prepare for the homework quiz! Send one person to get textbooks for your table. Check the file folder for your class to pick up graded work Located by the bookshelf, blue crate. Look behind the tab for your class period and take home anything with your name on it.
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Investigation 3: Multiplying & Dividing Rational Numbers
Chapter 2: Accentuate the Negative
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Launch Check your answer: 106.2 seconds
Be sure to bring up distance = rate x time A note on notation: Multiplication Symbols
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3.1 Multiplication Patterns with Integers
Focus Questions: How is multiplication of two integers represented on a number line and chip board? Number Relay Race
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3.1 Number Relay Race How far does each runner race?
Explain what the first leg of the race looks like. Explain the last leg of the race.
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Turn to Page 56 in your Textbook
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Problem 3.1 – A – 1 - a What does 5 meters per second mean?
Which way is Hahn running? Left or right? Positive or Negative? What number sentence could you write to show where Hahn will be in 6 seconds if he is going to the right and passes the 0 point running 5 meters per second? Suppose Hahn was running 5 meters per second to the left. How would this change the number sentence? What would the number sentence look like now? What do the -5, the 6, and the -30 indicate in this situation? Finish question A with your table.
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Problem B Now complete C & D with your tablemates.
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Problem E
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Check for Understanding
Predict the sign of the product for each calculation and then show the calculation on a number line. 2 x (-3) -2 x (-3) -2 x 3 2 x 3
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Problem 3.2 Multiplication of Rational Numbers
Focus Question: What algorithm can you use for multiplying integers?
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Turn to page 58 in your textbook.
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Problem 3.2 Check your answers:
(+ rational number) x (+ rational number) = + (+ rational number) x ( - rational number) = - (- rational number) x (- rational number) = +
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Problem 3.2
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3.3 Division of Rational Numbers
Focus Question: What algorithm can you use for dividing integers? How are multiplication and division of integers related?
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Launch 36 ÷ 4 = 9 What does this number sentence mean?
How are the operations of multiplication & division related? What number sentence would undo: 3 • 12 = 36? Remind students of Fact Families
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Fact Families Turn to Page 61 and complete A & B for Problem 3.3
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Review of Rational Numbers
Complete Problem C on Page 61
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Division is not commutative, the order matters.
If you add zero to any number, you get that same number. Yes, it is 1.
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When you add together opposites, you get zero,.
Yes, it is called the reciprocal. For example: 2 x ½ = 1 2 and ½ are multiplicative inverses.
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Review Vocabulary Multiplicative identity: one times any number is the same number. Multiplicative inverse: any rational number multiplied by it’s reciprocal is 1 Reciprocal: inverting a fraction (upside down) Terminating vs. repeating decimal: terminating decimals end; repeating decimals continue forever with a pattern.
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Labsheet 3.4 Launch Video Paperclips Colored pencils
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