Welcome to Ridgeview! Please complete this summer packet to the best of your ability. This packet is to provide you with review objectives that were taught the previous school year and provide tasks related to the common core curriculum. Reviewing the material will help retain what you have learned this year. You will even get a sneak peek about some concepts you will be learning next year. Try your best! RIDGEVIEW MATH 6
SUMMER PACKET
Name _____________________________ Part I Complete without using a calculator. In each problem, place decimal point(s) to make each equation true. 2 4 x 3 3 = 7.92 1 1 5 + 9 3 = 124.3 4 1 0 ÷ 2 0 = 2.1 1 9 9 -­‐ 1 7 = 0.29 1 2 x 1 2 = 14.4 4 3 0 + 1 3 = 54.0 3 6 0 ÷ 4 5 = 0.8 1 9 8 -­‐ 1 7 = 18.1 Part II Using the hundredths grid below, write a valid mathematical equation. _____ x _____ = _______ Name _____________________________ 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: _______ 2
B. How many 3 cups servings of cereal can be made from a six cup package? Answer: _______ Name _____________________________ 5
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C. Evan can take two different routes to school. One path takes 12 of an hour. The other path takes 11 of an hour. Which path takes the least amount of time? Answer: _______ How much time does the shorter path take? Answer: _______ Part V 4
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Explain how decomposing 7 helps model 2 of 7 : 1 1 1 1
7 + 7 + 7 + 7 Name _____________________________ 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? Use a number line to determine the answer to the following problems. Express you answer as a mixed number if necessary. 3
Matt has 5 pizzas. A single serving is 8 of a pizza. How many servings does Matt have? Answer: _______ Name _____________________________ 7
Jae’s car has an 11-­‐gallon tank of gasoline. Driving to Philadelphia will take 9 of the tank. How many gallons 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? 6
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a. Mrs. Peter worked for 5 of an hour in the garden and spent 4 of that time planting flowers. 6
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b. Mrs. Peter worked for 5 of an hour in the garden and spent 5 of that time planting flowers. 5
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c. Mrs. Peter worked for 6 of an hour in the garden and spent 5 of that time planting flowers. 5
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d. Mrs. Peter worked for 6 of an hour in the garden and spent 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? Name _____________________________ Part VII Complete the chart. Equation 5 5
6 x 6 = Greater than ( > ), less than ( < ), or equal to ( = )… 5
6 1 1
19 x 26 = 1
19 20 5
5 x 5 = 20
5 5 6
6 x 5 = 5
6 Reason: Reason: Reason: Reason: Directions: Fill in the missing parts of each fraction 4 13
2 + 3 = 6 1
7
1 2 + 15 = 210 1 5
1
+
1
=
4
4 6
12 1
20 -­‐ 4 = 0 Name _____________________________ Name _____________________________ Challenge 1) 15 + 4 × 5 -­‐ 6 4) 4 × 9 – 9 × 4 2) 9 × 3 + 3 5) 18 + 3 + 15 ÷ 3 3) 18 ÷ 2 + 9 × 2 6) 150 ÷ 10 – 3 × 5