RIDGEVIEW MATH 6 SUMMER PACKET

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Julius Pitts
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1 Welcome to Ridgeview Middle School! Please complete this summer packet to the best of your ability. This packet is to provide you with an opportunity to review objectives that were taught in the previous school year. Reviewing the material will help you retain what you have learned this past year and help you prepare for Math 6. You will even get a sneak peek about some concepts you will be learning next year. Try your best! RIDGEVIEW MATH 6 SUMMER PACKET

2 Part I Complete without using a calculator. In each problem, place the decimal point(s) to make each equation true. 2 4 x 3 3 = = = = x 2 = = = = 8. Part II Using the hundredths grid below, write a valid mathematical equation. x =

3 Part III After yesterday s party,! of a cake remains. If three friends want to share the cake, how much of the cake will " each friend get? a. Model the problem in the space below: b. Write a division equation and a multiplication equation for this problem. x = = Part IV A. Use drawings to represent and solve each. How many! " cup servings of maple syrup are in a container of 4½ cups of syrup? Answer: B. How many 2 3 cups servings of cereal can be made from a 6 cup package? Answer: C. Evan can take two different routes to school. One path takes 5 2 of an hour. The other path takes 6 of an hour. Which path takes the least amount of time? 2

4 Answer: How much time does the shorter path take? Part V Answer: Explain how decomposing 4 7 helps model 2 of 4 7 : Part VI The dimensions of a television set measure the screen size. The television Jennifer wants to buy has a $ " border around the screen. The television is shown below: 40 ¾ ¾ 30 What is the area of the screen? 3

5 Use a number line to determine the answer to the following problems. Express your answer as a mixed number if necessary. Matt has 5 pizzas. A single serving is 3 8 of a pizza. How many servings does Matt have? Answer: Jae s car has an -gallon tank of gasoline. Driving to Philadelphia will take 7 of the tank. How many gallons 9 of gasoline will be used? Answer: The partition model below represents the time Mrs. Peter worked in her garden. Which story would be represented by the partition model? a. Mrs. Peter worked for 6 5 of an hour in the garden and spent 5 4 of that time planting flowers. b. Mrs. Peter worked for 6 5 of an hour in the garden and spent 4 5 of that time planting flowers. c. Mrs. Peter worked for 5 6 of an hour in the garden and spent 4 5 of that time planting flowers. d. Mrs. Peter worked for 5 6 of an hour in the garden and spent 5 4 of that time planting flowers. What fractional part of an hour did Mrs. Peter spend planting flowers? With 60 minutes in one hour, how many minutes did Mrs. Peter spend planting flowers? 4

6 Part VII Complete the chart. Reason: Equation Greater than ( > ), less than ( < ), or equal to ( = ) 5 6 x 5 6 = x 2 6 = 9 Reason: Reason: 20 5 x 5 5 = 20 5 Reason: 5 6 x 6 5 = 5 6 Directions: Fill in the missing part of each fraction = = = = 0 5

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8 Challenge 7

9 ) ) ) ) ) ) Several expressions are shown. Decide if the value of the expression is less than, equal to, or greater than 5. Write the expressions in the corresponding column of the table. Less than 5 Equal to 5 Greater than ( 5 3) ( 5 3) 5 ( 5 3) ( ) 6 20 ( 5 3) ( ) ( 8 7) ( 5 3) 2 ( 5 3) List the equivalent measure in the corresponding column of the table. Some of the measurements may not have an equivalent measure. 8

10 meter centimeter millimeter 0.00 km 0.0 mm 0. cm 0.0 km 0.0 m Rob is calculating the area of this rectangle. His strategy is to multiply the whole numbers first and then multiply the fractions. Since 3 5 = 5 and =, he concludes that the area of the rectangle is 5 square feet. Is he correct? 2 Explain your thinking.. Jen measured the growth of a sunflower. In week one, it grew 2 inches. 2 9

11 3 In week two, it grew 2 inches. 4 In week three, it grew 3 inches. 4 How tall did the sunflower grow in the three weeks? 2. At Maria s school, 6 classes are going on a field trip. Each class has 26 students and teacher. Each bus holds a maximum of 48 people. The school requests 3 buses for the field trip. Read Maria s argument below. Circle the statement in Maria s argument that has incorrect reasoning or inaccurate calculations. Then correct the statement. a. Maria says that 3 buses are not enough. b. She argues that 3 buses will hold a maximum of 44 people. c. The classes need space for 56 people. d. The school needs to order more bus. Connor is buying tickets to a play. The play he and his friends want to see costs $4.75 per ticket. Connor has $26.00 in his pocket. What is the greatest number of tickets Connor can buy? Which number is equal to 0 4? a. 00 b.,000 c. 0,000 0

12 d. 00, A baker used 2 cups of batter to make muffins. It took 3 2 cup of batter to make muffin. How many muffins did the baker make? 4. This line plot shows the heights of the bean plants in a garden after 3 weeks. What is the total height, in inches, of all the bean plants that are greater than inch? 5. William used 6 squares to make the figure shown.

13 A. Add a square so that the perimeter increases B. Add a square so that the perimeter stays the same. C. Add a square so that the perimeter decreases. 6. Show two different ways to complete the multiplication problem. 2

14 7. Susan has 4 gallons of juice. How man cups of juice does she have? 3

15 8. Walter puts 050 cubic inches of dirt into the tank shown. What will the height of the dirt be if it is level in this tank? 9. Jeff measures his desk. He does not have a ruler, but he know that the length of the tissue box is 9 inches and the width is 5 inches. Use the tissue box to estimate the area of the desk surface. 4

16 20. In a game at a carnival, a person throws rings onto a table with different colors painted on it. Each color has different point values as shown. Blue: 5 points Red: 3 points Yellow: 2 points Hailey plays the game. Exactly 2 rings thrown by Hailey landed in the red section. She keeps throwing more rings. She eventually scores 55 points. How many rings landed on the blue and yellow areas so that Hailey scored 55 points? 2. Tyler is 8 years old. His sister Olivia is 4 years less than twice his age. Write the numerical expression for Olivia s age. 22. Find two fractions that can be added using the denominator 24. Write those two fractions in the box. Like Denominator =

Ridgeview Middle School. Summer Math Packet Incoming Grade 6

Ridgeview Middle School. Summer Math Packet Incoming Grade 6 Ridgeview Middle School Summer Math Packet Incoming Grade 6 Dear Ridgeview Student and Parent, The purpose of this packet is to provide a review of objectives that were taught the previous school year