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7th Grade Math Mr Garcia August 17-18, 2015 Do Now Remember your signs chart: +•+=+ -•-=+ -•+=+•-=1) -2 ・ -4 = 2) (-2 • -4) • -3 = 3) 10 ➗ 10 = 4) -10 ➗ 10 = 5) It was toasty hot at Mr G’s house yesterday! During the day the temperature went up to 108ºF. During the night the temperature went down to 68ºF. How many degrees did the temperature drop? Draw a Thermometer to show the problem. 7th Grade Math Mr Garcia August 17-18, 2015 6) “Gracie goes for a Walk” Here is a diagram of Gracie the Pup’s walk, What was the total distance in feet that Gracie walked 775 > 925 ft. 915 810 End 7th Grade Math Mr Garcia August 17-18, 2015 August 17-18, 2015 Standards, 7NS Operations with Integers Agenda: 1) Do Nows (On the Board of Leaning) 2) Real World Examples of Multiplication Gracie goes for a walk. Using a table to Calculate how much a Blue Whale eats. How Big is an IceBerg? Objectives Understanding some Real World Examples of Multiplication, Addition, and Subtraction using the, Commutative Property Associative Property Distributive Property Using a table to Calculate Ratios 7th Grade Math Mr Garcia August 17-18, 2015 1) What is a Krill? Krill are little shrimp like creatures that live in the sea. They are about the size of a jelly bean. There are more krill in the sea than the weight of all the humans on Earth combined! Question: So what creatures eat Krill? Answer, just about everything bigger that a Krill eats Krill! Poor Krill! Like birds, fish, penguins, even whales. 7th Grade Math Mr Garcia August 17-18, 2015 In fact the largest animal that has ever lived on Earth eats Krill. What animal is that? It’s a Blue Whale. An adult is about 115 ft long, and can weigh over 125 tons! Just the heart of a Blue Whale weighs about a ton and is the size of a small car! 7th Grade Math Mr Garcia August 17-18, 2015 How much does a Blue Whale eat? So, how much is four tons of Krill? This truck holds 4 tons. That’s a big stomach! 7th Grade Math Mr Garcia August 17-18, 2015 A Blue Whale can eat four tons of Krill a day. Lets calculate how much a Blue What eats. Use this table. What a Blue Whale Eats Days Tons of Food Eaten 1 4•1= 2 4•2= 10 120 d Break - Stretch Time 7th Grade Math Mr Garcia August 17-18, 2015 2) Properties and Operations Commutative Property In a product you can multiply the numbers in any order. Numbers: 8(-5) = -5(8) Math: ab = ba Associative Property Changing the grouping of the numbers in a product does not change the product. Numbers: (3 • 10) • 4 = 3 • (10 • 4) Math: (ab)c = a(bc) Example: 4 (-7) (25) [-7 (4)] 25 -7 (4 • 25) -7 (100) -700 Commutative Property of Multiplication Associative Property of Multiplication Multiply 4 • 25 Multiply -7 • 100 The Distributive Property: When you use the distributive property you distribute the number outside the the parentheses to each number inside the parentheses. Like this: Math Numbers a(b + c) = ab + ac 4(6 + 3) = 4(6) + 4(3) a(b - c) = ab - ac 4(6 - 3) = 4(6) - 4(3) 7th Grade Math Mr Garcia August 17-18, 2015 Example: You are going camping with two friends. So, you purchase three sets of camping equipment, that is, you buy three backpacks that costs $90 dollars each, three sleeping bags that cost $70 dollars each. How much did you spend? To do this problem, “chunk it!” Break it into parts…like this. 1) You are going camping with two friends. How many of you are there? Three (3). 2) You purchase three sets of camping equipment. 3) Three backpacks cost $90 dollars each. 4) Three sleeping bags cost $70 dollars each. 5) How much did you spend for everything? Total cost = 3 (90 + 70) = 3(90) + 3(70) = 270 + 210 = 480 OR, you could do it this way too, Total cost = 3 (90 + 70) = 3 (160) = 480 7th Grade Math Mr Garcia Mr. Garcia Your Name Quiz 3 August 17-18, 2015 7th Grade Math Period: 1) Icebergs are mountains of ice that float in the ocean. About 9/10 of an iceberg is below sea level. Questions: a) If this iceberg is 100 ft. tall (the amount above the water), how much of it is below sea level. b) How tall is whole iceberg from top to bottom.2) Use the 100 ft. ? ft. 1/10 Above sea level 9/10 Below sea level 2) Use the Distributive Property to evaluate these expressions. a) 5(7 + 2) b) 7(4 - 2) C) -3 (9 + 1) 3) You and your friend go to the movies. Tickets cost $9.00 each, and popcorn and a drink cost $5.00 each. Use the Distributive Property to find the total amount spent at the movies.