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Week of April 13-April 17Multiplication of Rational NumbersSlides1-2Develop the sign rules for multiplication by using the distributive and other properties!What does it mean when there is NO sign next to an integer? What can be assumed? ________________________Slide 3Tell your score for the practice problemsExplain what you learned!Any notes you want to include for Slide 3:Multiplication is the same as __________Slide 4Sign Rules for MultiplicationNegative x’s a Negative =’s __________Positive x’s a Positive =’s __________Negative x’s a Positive =’s __________Positive x’s a Negative =’s __________Tell your score for the practice problemsExplain what you learned!Any notes you want to include for Slide 4:Slide 5—Negative multiplied by a Negative equals a PositiveTell your score for the practice problemsExplain what you learned!Any notes you want to include for Slide 5:Slide 6--Positive times a Negative equals a Negative ProductREMEMBER that in a multiplication problem the ANSWER is called the PRODUCTTell your score for the practice problemsExplain what you learned!Any notes you want to include for Slide 6:Slide 7—Write the rule & Write and ExampleProduct of Two POSITIVE numbersProduct of Two NEGATIVE numbersProduct of a POSITIVE number and a NEGATIVE numberTell your score for the practice problemsExplain what you learned!Any notes you want to include for Slide 7:Slide 8Key ELEMENTS of this Real World Problem50 points per stunt-40 points per fallKat: 6 stunts & 9 fallsScore was 3 TIMES her score from last weekQuestion: What was Kat’s score TODAY?Let’s walk through this problem—Fill in the blanks with the answers BUT READ THE HINTS!Total point value for stunts is a __________ (Hint: stunts is a POSITIVE 50 per stunt)Total point value for falls is a __________(Hint: falls are a NEGATIVE 40 per fall)Expression that shows Kat’s score from stunts last week is____________________ (Hint: She had 6 stunts at 50 points per stunt)Once you have the expression from #3—what is the correct answer? __________Expression that shows Kat’s score from falls last week is ____________________(Hint: She had 9 falls at -40 points per fall)Kat’s score from falls last week is __________________________________________________ (Hint: think about the signs for the equation: Positive 9 and a Negative 40)Kat’s score from last week is __________ points.(Hint: Take the points earned from the students and subtract the points earned from the falls)Tell your score for the practice problemsExplain what you learned!Slide 9Key ELEMENTS of this Real World ProblemPool holds 250 gallons of waterPool has 100 galls of the 250 gallons it will holdHose adds 6 gallons per 30 minutesHole has lost 12 gallons per minute for 20 minutesQuestion: At the end of 30 minutes, what is the change in the water volume in the pool?Let’s walk through this problem—Fill in the blanks with the answers BUT READ THE HINTS!You can think of the total number of gallons of water filling the pol as a __________ number. (Hint: Adding gallons is POSITIVE to the filling of the pool)You can think of the number of gallons of water draining from the pool as a __________ number. (Hint: Water is being taken away with is NEGATIVE water flow)The number of gallons of water added to the pool can be modeled by the expression ____________________ (Hint: There are 30 minutes, and 6 gallons added per 30 minutes…Notice that both 30 and 6 are POSITIVE)The number of gallons drained from the pool can be modeled by the expression______________________________ (Hint: drained means to take away—there are 12 gallons being taken way per 20 minutes)The overall change in the water volume of the pool is ____________________ gallons.Hint: Take the product from the gallons added and the product from the gallons drained to uncover the volume of the pool)Tell your score for the practice problemsExplain what you learned!Slide 10 –Write real-world situations that model multiplication problems with rational numbers ExpressionYour Real-World Model 9 x 12 = 180Slide 11Write down the KEY elements of each Real-World Model for the multiplication problem! (Hint: look back at how the key elements were pulled out in the examples from above)Off the TableRunning TimesBank Account BalanceMiniature GolfTRY IT—Your SCORE:__________Did you watch the Review Video: __________Score for the TEST IT:__________Dividing Rational NumbersWhen you divide one fraction by another, you invert (flip) the second one and multiply the fractions!Inverse Operations: Multiplication is the inverse to division (undo each other)12 divided by 3 =’s 44 multiplied by 3 =’s 12YOU CAN NEVER EVER EVER EVER EVER divide by 0!!!!!!!Video: KCF—What does this mean? Show an example in the box below!!!KCFKeepChangeFlipSlide 2— Explain the RULES for dividing rational numbersExplain what you learned!Any notes you want to include for Slide 1:Slide 3—Notes & ExamplesBoth PositiveOne Positive & One NegativeBoth NegativeTell your score for the practice problemsExplain what you learned!Slide 4—Tell your score for the practice problemsExplain what you learned!Slide 5—Define: ReciprocalDefine QuotientSign Rule #1 for DivisionSign Rule #2 for DivisionTell your score for the practice problemsExplain what you learned!Slide 6-- Tell your score for the practice problemsExplain what you learned!Slide 7—Real World Problems *Explain how the equation works with the sample equationFootballScuba DiverCarpenterPractice Problem—SnowstormKey ElementsDrops from 0 degrees to 18 degrees below 0 in 6 hoursQuestion: On average, by how many degrees is the temperature changing per hour?The Change in temperature is __________ degrees. (Hint: Think of a vertical number line—the temperate starts at 0 and drops (goes down) 18)The expression that models the problem is ____________________. (Hint: The temperature dropped 18 degrees—giving a -18 number. Now in 6 hours how many degrees is that per hour? -18 degrees ….6 hours)On average, the temperature is changing by __________ degrees per hour. (Hint: solve the problem from the question above)Tell your score for the practice problemsExplain what you learned!Slide 9: Interpret quotients of rational numbers by describing real-world contexts.Nutty Enough—Read this one over to answer the question about Mr. Pascal’s ClassroomWrite the ExpressionSimplifyAnswer the problemTRY IT—Your SCORE:__________Did you watch the Review Video: __________Score for the TEST IT:__________Using Properties to Multiply & Divide Rational NumbersPropertyDefineExamplesCommutative Property of MultiplicationAssociative Property of MultiplicationDistributive PropertyReciprocal Additional Notes—TRY IT—Your SCORE:__________Did you watch the Review Video: __________Score for the TEST IT:__________ ................
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