Bell Ringer Brett borrowed $7 from his father to buy a cap. He paid back $3. How much money does Brett have now? 1. Beginning at 0, in which direction will you move first? 2. How many places? 3. In which direction do you move next? How many places? On what number do you end?

Multiplication and Division Rules of Rational Numbers Mr. Smiech 8/29/2016

Multiplication and Division Rules of Integers Why is a negative times a negative equal a positive number?

Practicing Multiplication of Integers −3 −2 4 = ? A mountain climber climbed down 50 feet at a time. He did this 5 times in one day. What was the overall change in his elevation? How do you know if the answer is positive or negative?

Practice of Dividing Integers −𝟑𝟎 ÷ 𝟏𝟎 =? Jan received -22 points on her exam. She got 11 questions wrong out of 50. How much was she penalized for each wrong question?

What Went Wrong? Clark made 4 of his truck payments late and was fined 4 late fees. $48 was taken out of his account. How much was each fine? Adam is scuba diving. He descends 5 feet below sea level and does this 4 more times. What is Adam’s final elevation Tracy answered this question and stated that his final elevation was -20 feet. Where was Tracy’s mistake? Evan answered this question and stated that each fee was $192. Where did Evan make his mistake?

Shoulder Partner Practice Page 40 # 1 – 12 individual practice # 13 – 17 Shoulder Partner Practice Page 46 # 1 – 14 individual practice # 15 – 18 Shoulder Partner Practice

Exit Ticket 1. Describe a real-world problem that can be solved by   1. Describe a real-world problem that can be solved by dividing −𝟏𝟐 by 𝟑. 2. Find the quotient 3. Explain what it means in the context of your problem.

TUESDAY Bell Ringer Sally and her friends made up a game with points. You can either win or lose up to ten points on each round of the game. After the first round, Sally’s team had 2 points. In the second round, they lost 6 points. By how many points was Sally’s team down after the second round? 6. Beginning at 0, in which direction will you move first? How many places? 7. Which direction will you move next? How many places? 8. On what number do you end?

Multiplication and Division Rules of Fractions Multiplying Fraction Rules Multiply numerators Multiply denominators Reduce the fraction Dividing Fraction Rules (KCF) Keep the first fraction Change the division sign to multiplication 3. Flip second fraction 4. Follow multiplication rules

Multiplication and Division Rules of Mixed Numbers 1. Change the mixed number into an improper fraction 2. Follow fraction rules for multiplying and dividing

MULTIPLYING AND DIVIDING OF FRACTIONS 𝟏 𝟑 ÷ 𝟐 𝟓 = ? To avoid a storm, a passenger jet pilot, descended 1 ¼ mile in ¾ of a minute. What was the planes average change in altitude per minute?

What Went Wrong? Sanderson is having trouble with his assignment. −𝟑 𝟒 𝟒 𝟑 = −𝟑 𝟒 ∙ 𝟒 𝟑 = −𝟏𝟐 𝟏𝟐 =−𝟏 Where did Sanderson make his mistake? How do you know?

Shoulder Partner Practice Individual Practice Page 86 # 1,2,3,4,5,11,12,13,14,16,17 Individual Practice Page 92 #2,3,4,5,6,7,12 Individual practice Shoulder Partner Practice Page 86 # 19, 21,23,24,25 Shoulder Partner Practice Page 92 #13,14,15,19,20,23,25 Shoulder Partner Practice

FRIDAY Bell Ringer Find the difference. 12) -6 - 4 = 13) -7 - (-12) = 14) 12 - 16 = Solve. Monday’s high temperature was 6C. The low temperature was -3C. What was the difference between the high and low temperatures? The temperature in Minneapolis changed from -7F at 6 a.m. to 7F at noon. How much did the temperature increase? Friday’s high temperature was -1C. The low temperature was -5C. What was the difference between the high and low temperatures?  

Multiplication and Division Rules of Decimals Multiplying Decimals Multiply like normal (ignore decimals for now) Insert decimal into answer the same amount of decimal placesthe two original numbers had Dividing Decimals Make divisor whole number by moving the decimal to the right Move the decimal on the inside the same as you did to outside adding zeros where needed Divide like normal

MULTIPLYING AND DIVIDING OF DECIMALS −𝟏𝟐 𝟎.𝟑 The price of one share of ABC company lost a total of $45.75 in 5 days. What was the daily average of their loss? How do you represent the answer with a negative number

What Went Wrong? Sanderson is having trouble with his assignment again. 𝟐.𝟔𝟓 ÷ .𝟓 𝟎.𝟓 | 𝟐.𝟔𝟓 53 𝟓 | 𝟐𝟔𝟓 25 𝟏𝟓 15 𝟎 Where did Sanderson make his mistake? How do you know?

Practice Individual Practice Shoulder Partner Practice Page 86 # 6, 7, 8, 9, 10, 15 Individual practice Page 92 # 1, 8, 9, 10, 11 Individual Practice Shoulder Partner Practice Page 86 # 18, 20,22,26,27,28 Shoulder Partner Practice Page 92 # 17, 18, 22, 24, 26, 28 Shoulder Partner Practice