Unit 7 Review Teacher Model Jimmy is tracking the sugar in the food that he eats. The piece of cake that he ate had 430 mg of sugar. How many grams is this? Use this conversion rule: 1,000 mg = 1 g a. 0.430 grams b. 4.3 grams c. 43 grams d. 430 grams Guided Practice Sherri is tracking the salt in the food that she eats. The pretzel that she ate had 855 mg of salt. How many grams is this? Use this conversion rule: 1,000 mg = 1 g a. 0.855 grams b. 8.55 grams c. 855 grams d. 8550 grams Independent Guided Practice Kennedy is tracking the kilometers that she runs each day. She just ran 782 meters. How many kilometers is this? Use this conversion rule: 1,000 m = 1 km a. b. c. d. 782 kilometers 78.2 kilometers 7.82 kilometers 0.782 kilometers Independent Practice Ricky is tracking the salt in the food that he eats. The spaghetti that he ate had 290 mg of salt. How many grams is this? Use this conversion rule: 1,000 mg = 1 g a. 0.290 grams b. 2.9 grams c. 29 grams d. 290 grams Teacher Model If each cube is 1 inch wide, 1 inch long, and 1 inch high, what is the volume of this shape? a. 6 cubic inches b. 10 cubic inches c. 11 cubic inches d. 12 cubic inches Guided Practice If each cube is 1 cm wide, 1 cm long, and 1 cm high, what is the volume of this shape? a. 3 cubic cm b. 4 cubic cm c. 9 cubic cm d. 10 cubic cm Independent Guided Practice If each cube is 1 inch wide, 1 inch long, and 1 inch high, what is the volume of this shape? a. 20 cubic inches b. 16 cubic inches c. 12 cubic inches d. 6 cubic inches Independent Practice If each cube is 1 inch wide, 1 inch long, and 1 inch high, what is the volume of this shape? a. 20 cubic inches b. 12 cubic inches c. 7 cubic inches d. 4 cubic inches Teacher Model You are supposed to drink 48 ounces of water per day. How many cups of water is this? Use this conversion rule: 8 fluid ounces = 1 cup a. b. c. d. 384 cups 56 cups 32 cups 6 cups Christian picked up a handful of tiny stones from his hike in the woods and brought them into his house to weigh them. He recorded the weight of each stone below: 4 g,2 g,8 g,3g, 5 g,2 g,3 g,8 g, 8g,1 g 10 10 10 10 10 10 10 10 10 10 Plot these measurements on the line plot below and answer the questions. 0 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 0 x x x x x x x x 1 10 2 10 3 10 4 10 5 10 6 10 How many shells weigh less than x x 7 10 6 10 What is the total weight of the shells? 8 10 g? 9 10 10 10 0 x x x x x x x x 1 10 2 10 3 10 4 10 5 10 6 10 x x 7 10 8 10 9 10 If the weights were “evened out,” what would the average weight be? ___________________ 10 10 Guided Practice Faye wakes up for work at 6:00 in the morning. If she is supposed to be there by 9:30, how many minutes does she have from the time she wakes up until being at work? a. b. c. d. 30 minutes 60 minutes 120 minutes 210 minutes Independent Guided Practice Hannah bought a 2L bottle of Sprite. If she fills 5 cups equally, how many mL will be in each cup? Use 1 L = 1000mL a. b. c. d. 10 mL 400 mL 2000 mL 5,000 mL Independent Practice Bryce is tracking how much sugar he eats each day. The doughnut he ate contained 580 mg of sugar. How many grams is this? Use 1 g = 1000 mg a. b. c. d. 0.058 g 5.8 g 58 g 580 g Teacher Model A box of shoes measures 8 in. x 12 in. x 5 in. How many boxes of shoes would fit into a 16 in. x 12 in. x 20 in. container? a. b. c. d. 2 boxes 4 boxes 8 boxes 10 boxes Guided Practice A box of blocks measures 8 in. x 8 in. x 8 in. How many boxes of blocks would fit into a 24 in. x 24 in. x 24 in. container? a. b. c. d. 30 boxes 27 boxes 25 boxes 20 boxes Independent Guided Practice A box of books measures 4 ft. x 12 ft. x 10 ft. How many boxes of books would fit into a 12 ft. x 12 ft. x 10 ft. container? a. b. c. d. 12 boxes 9 boxes 6 boxes 3 boxes Independent Practice A box of stickers measures 3 in. x 6 in. x 12 in. How many boxes of stickers would fit into a 15 in. x 6 in. x 12 in. container? a. b. c. d. 9 boxes 7 boxes 5 boxes 3 boxes Beka picked up a bucket of seashells from her walk in the beach and brought them into her house to weigh them. She recorded the weight of each shell below: 4 g,2 g,3 g,3g, 7 g,2 g,3 g,6 g, 4g, 1 g 8 8 8 8 8 8 8 8 8 8 Plot these measurements on the line plot below and answer the questions. 0 1 8 2 8 3 8 4 8 5 8 6 8 7 8 8 8 0 x x x x x x 1 8 2 8 3 8 x x 4 8 5 8 x x 6 8 7 8 How many shells weigh less than 3 8 What is the total weight of the shells? 8 8 ? 0 x x x x x x 1 8 2 8 3 8 x x 4 8 5 8 x x 6 8 7 8 8 8 If the weights were “evened out,” what would the average weight be? ___________________ Teacher Model Josh made the following layers in math class. If he stacks them together, what would the total volume be? a. 15 in b. 15 in3 c. 45 in d. 45 in3 Guided Practice Davis made the following layers in math class. If he stacks them together, what would the total volume be? a. 10 cm b. 10 cm3 c. 40 cm d. 40 cm3 Independent Guided Practice Rebekah made the following layers in math class. If she stacks them together, what would the total volume be? a. b. c. d. 6 in 6 in3 24 in 24 in3 Independent Practice Jacob made the following layers in math class. If he stacks them together, what would the total volume be? a. 15 ft. b. 15 ft.3 c. 45 ft. d. 45 ft.3 8 mg = ______g 7 m = ______ km 12 L = _____mL 6 cm = _____m Teacher Model The base of a 3 dimensional shape is 36 square inches. What is a possible value for the length and width? length = ______ inches width = ______ inches If the height is 4 inches, what is the total volume? Total Volume = _______ cubic inches Guided Practice The base of a 3 dimensional shape is 18 square inches. What is a possible value for the length and width? length = ______ inches width = ______ inches If the height is 6 inches, what is the total volume? Total Volume = _______ cubic inches Independent Guided Practice The base of a 3 dimensional shape is 32 square inches. What is a possible value for the length and width? length = ______ inches width = ______ inches If the height is 3 inches, what is the total volume? Total Volume = _______ cubic inches Independent Practice The base of a 3 dimensional shape is 12 square inches. What is a possible value for the length and width? length = ______ inches width = ______ inches If the height is 5 inches, what is the total volume? Total Volume = _______ cubic inches Teacher Model The following box needs to be partitioned into two boxes. What would to total volume be? a. b. c. d. 3 cubic meters 10 cubic meters 13 cubic meters 30 cubic meters Guided Practice The following box needs to be partitioned into two boxes. What would to total volume be? 2 cm 4 cm 6 cm 8 cm a. b. c. d. 6 cubic centimeters 12 cubic centimeters 24 cubic centimeters 48 cubic centimeters 2 cm Independent Guided Practice The following box needs to be partitioned into three boxes. What would to total volume be? 1 in 2in 1 in 4 in 5in a. 2 cubic inches b. 4 cubic inches 1 in c. 8 cubic inches d. 14 cubic inches Independent Practice The following box needs to be partitioned into three boxes. What would to total volume be? 2 in 3 in 8 in 2 in 5 in Emily picked up a handful of tiny stones from her hike in the woods and brought them into her house to weigh them. She recorded the weight of each stone below: 4 g,1 g,1 g,3g, 3 g,3 g,4 g,1 g, 1g,4 g 5 5 2 10 5 10 5 2 10 5 Plot these measurements on the line plot below and answer the questions. 0 1 10 1 5 3 10 2 5 1 2 3 5 7 10 4 5 9 10 10 10 0 x x x x 1 10 1 5 3 10 x x 2 5 1 2 x x x x 3 5 How many stones weigh less than 7 10 3 5 4 5 ? What is the total weight of the stones? 9 10 10 10 0 x x x x 1 10 1 5 3 10 x x 2 5 1 2 x x x x 3 5 7 10 4 5 9 10 If the weights were “evened out,” what would the average weight be? ___________________ 10 10 Teacher Model Your mom is putting up your winter clothes into a container that measures 12 in. x 30 in. x 18 in. She only fills half of the container. How many cubic inches did she use? a.6480 in2 b.6480 in3 c.3240 in2 d.3420 in3 Guided Practice Sara is putting soil in a flower box that measures 10 in. x 20 in. x 12 in. She only fills half of the flower box . How many cubic inches did she use? a. b. c. d. 600 in2 600 in3 1200 in2 1200 in3 Independent Guided Practice David is putting soil in a vegetable box that measures 8 in. x 18 in. x 14 in. He only fills half of the vegetable box. How many cubic inches did he use? a.2016 in2 b.2016 in3 c.1008 in2 d.1008 in3 Independent Practice Joanie is pouring water in a pool that measures 8ft. x 12 ft. x 4 ft. She only fills half of the pool. How many cubic feet did she use? a.384 ft2 b.384 ft3 c.192 ft2 d.192 ft3 Teacher Model If the base of a rectangular prism has an area of 18 square cm and a height of 4 cm, what is the total volume? a.72 cm3 b.72 cm2 c.22 cm2 d.22 cm3 Guided Practice If the base of a rectangular prism has an area of 20 square in and a height of 7 in, what is the total volume? a. b. c. d. 13 in3 27 in3 140 in2 140 in3 Independent Guided Practice If the base of a rectangular prism has an area of 16 square ft and a height of 5 ft, what is the total volume? a.21 ft3 b.21 ft3 c.80 ft2 d.80 ft3 Independent Practice If the base of a rectangular prism has an area of 15 square cm and a height of 8 cm, what is the total volume? a.23 cm3 b.23 cm3 c.120 cm2 d.120 cm3 Teacher Model The area of the base of a cube is 36 in2 . What is the volume of the cube? Guided Practice The area of the base of a cube is 81 in2 . What is the volume of the cube? Independent Guided Practice The area of the base of a cube is 49 in2 . What is the volume of the cube? Independent Practice The area of the base of a cube is 25 in2 . What is the volume of the cube? Teacher Model Mr. Jimmy is building a cement walkway for his mother. *a.) How much space is needed to build a walkway that is 18 ft long, 3 ft wide, and 2 ft high? *b.)If each bag’s mixture fills a space of 10 cubic feet, then how many bags of mixture will Mr. Jimmy need to buy? Guided Practice Mr. James is building a cement pad for his sons to play basketball on. *a.) How much space is needed to build a concrete pad that is 20 ft long, 12 ft wide, and 2 ft high? *b.)If each bag’s mixture fills a space of 20 cubic feet, then how many bags of mixture will Mr. Jimmy need to buy? Independent Guided Practice Mr. Patrick is building a cement pad to put his daughter’s playhouse on. *a.) How much space is needed to build a concrete pad that is 10 ft long, 10ft wide, and 2 ft high? *b.)If each bag’s mixture fills a space of 15 cubic feet, then how many bags of mixture will Mr. Patrick need to buy? Independent Guided Practice Mr. David is building a walkway to put his daughter’s playhouse on. *a.) How much space is needed to build a concrete pad that is 18 ft long, 3 ft wide, and 1 ft high? *b.)If each bag’s mixture fills a space of 10 cubic feet, then how many bags of mixture will Mr. David need to buy? Teacher Model A small container has a volume of 192 cubic meters. The container is 4 meters long and 8 meters wide. How tall is the container? a. b. c. d. 5 meters tall 6 meters tall 7 meters tall 8 meters tall Guided Practice A small container has a volume of 448 cubic feet. The container is 7 feet long and 8 feet wide. How tall is the container? a. b. c. d. 8 feet tall 7 feet tall 6 feet tall 5 feet tall Independent Guided Practice A small container has a volume of 448 cubic feet. The container is 7 feet long and 8 feet wide. How tall is the container? a. b. c. d. 8 feet tall 7 feet tall 6 feet tall 5 feet tall X X X X X X X X 1 6 2 6 3 6 X X 4 6 5 6 What height occurred most frequently? How many heights are greater than 2 ? 6 What was the total height of the plants? If the heights were “evened out”, what would be the average? 6 6