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Happy Holidays December 23, 2016 Jeopardy Game Jeopardy Table Division Discounts Christmas Mr. Barron DP 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Where do the terms dividend, quotient, and divisor belong below? ? ? Division 100 ? Quotient = the answer you get from division Dividend = “inside the house” Divisor = “outside the house” Quotient Divisor Division 100 Dividend How could the long division expression below be rewritten as a fraction? 4 Division 200 8 Numerator = number inside the house Denominator = number outside the house 8/4 Division 200 How can you tell if a fraction will be less than, equal to, or greater than 1? Decimal Less than 1 Equal to 1 Greater than 1 Division 300 Numerator versus Denominator Answer Numerator versus Denominator Less than 1 Denominator > Numerator Equal to 1 Denominator = Numerator Greater than 1 Denominator < Numerator Division 300 Represent the fraction below as a decimal: 2 8 Division 400 8 0.25 Division 400 2 Five players on a basketball team won $420 as tournament champions. The team shared the money won equally. How much money did each player get to keep from the tournament? Division 500 5 420 $84 Division 500 A holiday discount lets you buy a game (The Last of Us Remastered) for $16 when it usually costs $40. What is the discount rate? Discounts 100 Savings Discount rate = = Normal price = 3 5 3/5 Discounts 100 24 40 A holiday discount of 80% exists for the $15 water bottle from the last Jeopardy game. How many tape diagram boxes do you need? Discounts 200 Step 1: Convert percentage into a fraction 80% = (80) / (100) = (8) / (10) = 4 / 5 Step 2: Denominator tells you how many boxes you need You need 5 boxes Discounts 200 What number goes in the tape diagram boxes shown below? $40 = normal price ? ? $16= current price Discounts 300 ? ? ? $24= savings from discount (40) / (5) = 8 $40 = normal price 8 8 $16= current price 8 Discounts 300 8 8 8 $24= savings from discount You saved $24 buying a water bottle at a holiday discount of 80%. What is the normal price of the water bottle? Discounts 400 Step 1: Convert percentage into a fraction 80% = (80) / (100) = (8) / (10) = 4 / 5 Step 2: Draw tape diagram normal price = ? ? current price = ? Discounts 400 ? ? savings = $24 ? ? Step 3: Find the value in each tape diagram box value = (24) / (4) = 6 Step 4: Update tape diagram with box values normal price = ? 6 current price = ? Discounts 400 6 6 savings = $24 6 6 Step 5: Use box values to find normal price normal price = 24 + 6 = 30 Step 6: Update tape diagram normal price = 30 6 current price = 6 Discounts 400 6 6 savings = $24 6 6 You paid $30 to buy a water bottle at a 40% discount. What is the normal price of the water bottle? Discounts 500 Step 1: Convert percentage into a fraction 40% = (40) / (100) = (4) / (10) = 2 / 5 Step 2: Draw tape diagram normal price = ? ? ? current price= $30 Discounts 500 ? ? savings= ? ? Step 3: Find the value in each tape diagram box value = (30) / (3) = 10 Step 4: Update tape diagram with box values normal price = ? 10 10 current price= $30 Discounts 500 10 10 savings= ? 10 Step 5: Use box values to find normal price normal price = 30 + 10 + 10 = 50 Step 6: Update tape diagram normal price = 50 10 10 current price= $30 Discounts 500 10 10 savings= 20 10 What does Santa leave naughty kids for Christmas? Christmas 100 Christmas Coal Christmas 100 What food should you leave out for Santa overnight to have? Christmas 200 Cookies and milk Christmas 200 Eight reindeer help pull Santa’s sled… Who are they? Christmas 300 Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, and Blitzen Christmas 300 Some get real ones, some get fake ones… What are they? Christmas 400 Christmas Trees Christmas 400 You need a big one, a medium one, and a small one to make it… What is it? Christmas 500 A Snowman Christmas 500 Mr. Barron is not an only child. He has siblings… How many? Mr. Barron 100 Just one Mr. Barron 100 Mr. Barron visited a country earlier this year in September… Where? Why? Mr. Barron 200 Mexico. Wedding. Mr. Barron 200 Mr. Barron volunteers in Bridgeport… Where? Mr. Barron 300 Bikeport Co-op Monday: 5 PM to 8 PM Wednesday: 5 PM to 8 PM Mr. Barron 300 AmeriCares Free Clinic Saturday: 9 AM to 12 PM Mr. Barron graduated with a business degree but does not want to be a businessman… What does he want to become? Mr. Barron 400 A doctor! Mr. Barron 400 Double Jeopardy! A correct answer doubles your points! Mr. Barron created a website for the class… What is the URL? Mr. Barron 500 go7math.wordpress.com Mr. Barron 500 Simplify the expression shown below: -2(-2x - 4) Distributive Property 100 Step 1: Make sure expression is in addition form -2((-2x) + (-4)) Step 2: Multiply outside number into BOTH inside numbers (-2)*(-2x) + (-2)*(-4) 4x - (-8) = 4x + 8 Distributive Property 100 What mistakes were made below? -3(5x + 4) 15x + 4 Distributive Property 200 Step 1: Make sure expression is in addition form -3((5x) + (4)) Step 2: Multiply outside number into BOTH inside numbers (-3)*(5x) + (-3)*(4) -15x + (-12) = -15x - 12 Mistake: sign for number outside parenthesis changed Mistake: did not fully distribute outside number Distributive Property 200 What mistakes were made below? 3(-2x + 3) 6x + 9 Distributive Property 300 Step 1: Make sure expression is in addition form 3((-2x) + (3)) Step 2: Multiply outside number into BOTH inside numbers (3)*(-2x) + (3)*(3) -6x + 9 Mistake: changed sign of first number in parenthesis Distributive Property 300 A family bought four children food. The kids all ate two $4 burgers and three $2 fries. What expression shows the family meal cost? Distributive Property 400 Step 1: Write what you know People = 4 Item 1 (burger) = $4…. Two eaten per child Item 2 (fries) = $2… Three eaten per child Step 2: Use the model below to help find equation Equation = people * [ (how many)(item price) + (how many)(item price) ] 4 [ (2)(4) + (3)(2) ] Distributive Property 400 A family bought four children food. The kids all ate two burgers and one $2 fries. What expression shows the family meal cost? Distributive Property 500 Step 1: Write what you know People = 4 Item 1 (burger) = $x…. Two eaten per child Item 2 (fries) = $2… One eaten per child Step 2: Use the model below to help find equation Equation = people * [ (how many)(item price) + (how many)(item price) ] 4 [ (2)(x) + (1)(2) ] = 4(2x + 2) Distributive Property 500 Final Jeopardy Category: Math What are the first three numbers in pi? 3.14 The End