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Bell Ringer. Briana had $30 to spend on herself. She spent 1/5 of the money on candy, 1/6 for a sandwich, and 1/2 of it on a book. How much money does Briana have left over?. 1/5 of $30 = 1/6 of $30 = 1/2 of $30 =. 1/5 ∙ $30 = 1/6 ∙ $30 = 1/2 ∙ $30 =. $6 $5 $15. Spent
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Bell Ringer Briana had $30 to spend on herself. She spent 1/5 of the money on candy, 1/6 for a sandwich, and 1/2 of it on a book. How much money does Briana have left over? 1/5 of $30 = 1/6 of $30 = 1/2 of $30 = 1/5 ∙ $30 = 1/6 ∙ $30 = 1/2 ∙ $30 = $6 $5 $15 Spent 6+5+15 = $26 $30 – $26 = Has $4 left!
Area and Volumeof Squares and Cubes NCP 505: Work with squares and square roots of numbers NCP 507: Work with cubes and cube roots of numbers*
Area of Squares Squares have four equal sides, therefore to find the area of a square, you would multiply two of the sides: A = s ∙ s 6 s A = 6 ∙ 6 A = 36 s
Area of Squares The area of Tom’s square bedroom is 144 square feet. What is the length of the walls? The opposite of a square is a square root! A = s2 144 = s2 √144 = s 12 ft = s A = s ∙ s = s2 s s
Area of Squares: Two-Steps The area of Tom’s square backyard is 400 square feet. If Tom wanted to build a fence around his yard, how much fencing will he need? 20 ft A = s2 400 = s2 √400 = s 20 ft = s P = s+s+s+s P = 20+20+20+20 P = 80 ft 20 ft 20 ft 20 ft
Area of Squares: Three-Steps Tom has to buy fencing for his square backyard. If the area of his yard is 484 square feet and each foot of fencing costs $5.75, how much will Tom pay? P = 4s P = 4 ∙ 22 P = 88 ft Cost = $5.75 ∙ 88 Cost = $506 22 ft A = s2 484 = s2 √484 = s 22 ft = s 22 ft 22 ft 22 ft
Volume of Cubes Every side of a cube is the same length, so to find the volume of a cube, you would multiply L ∙ W ∙ H, or in a cube, s3. V = l ∙ w ∙ h V = s3 6 ft s V = 6 ∙ 6 ∙ 6 A = 216 ft3 s s
Volume of Cubes Deborah has a cubic box full of sand. If there are 343 in3 of sand in the box, how long are the sides? V = s3 343 = s3 3√343 = s 7 ft = s V = l ∙ w ∙ h = s3 s
Volume of Cubes: Two-Steps Deborah has a cubic box full of water. If she can fit 1728 ft3 of water in the box, what is the area of one of the sides of the box? V = s3 1728 = s3 3√1728 = s 12 ft = s V = s3 A = s2 A = 122 A = 144 ft2 s
Volume of Cubes: BONUS! Surface area is the total area of the surface of a 3D object. A cube has 6 sides! What is the surface area of a cube whose volume is 8000 ft3? A = s2 A = 202 A = 400 ft2 V = s3 8000 = s3 3√8000 = s 20 ft = s V = s3 s ASA = 400 ∙ 6 sides Surface Area = 2,400 ft2