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 and provide tasks related to the common core curriculum. Reviewing the material will help your child retain what he/she has learned this year, and assist them as they enter the next course in the sequence of study. An answer key can be accessed online via our school website on or before June 30, 204. This key can be used in one of the following ways: Have your child check his/her work after each assignment. Check your child s work after each assignment. Check the entire packet once it is finished. Whichever way you choose to use the answer key, make sure your child identifies and corrects all mistakes. Please remind your child that CALCULATORS SHOULD NOT BE USED and ALL WORK MUST BE SHOWN for each activity. If work is completed on a separate paper, please submit the paper(s) with the packet. The completed packet will be due the second Friday of the new school year. This will be recorded as a homework completion grade during the first marking period. Thank you for your cooperation, The RMS Math Department
. 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 2 2 5 3 5 3 5 5 3 5 3 6 20 5 3 5 3 8 7 5 3 2 5 3 4 2. Each square in the grid represents 25 units. Draw a rectangle that has an area of 875 square units.
3. 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. 3 4 2 2 Is he correct? Explain your thinking. 4. Jen measured the growth of a sunflower. 2 3 4 4 In week one, it grew 2 inches. In week two, it grew 2 inches. In week three, it grew 3 inches. How much did the sunflower grow in the three weeks?
5. List the equivalent measure in the corresponding column of the table. Some of the measurements may not have an equivalent measure. meter centimeter millimeter 0.00 km 0.0 mm 0. cm 0.0 km 0.0 m 6. Look at the rectangle What is the area of the rectangle in square centimeters?
7. James folds a square piece of paper in half to create a rectangle with a perimeter of 2 inches. Draw the original square on the grid. Then find the area of the RECTANGLE James creates. 8. 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.
9. 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? 0. Which number is equal to 0 4? a. 00 b.,000 c. 0,000 d. 00,000. Draw a rectangle on the grid below with an area of 575 square units and a side of 45 units.
2. 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? 3. 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 taller than inch?
4. William used 6 squares to make the figure shown. 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.
5. Show two different ways to complete the multiplication problem.
6. 7. Susan has 4 gallons of juice. How man cups of juice does she have?
8. Walter puts 050 cubic inches of dirt into the tank shown. What will the height be of the dirt 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. 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 = 24 6 5 3 6 5 7 9 0 9 7 8 23. Bill wants to run a total of 4,000 meters in 5 days. The table shows how far he runs each day for 4 days. Each lap is 400 meters. Day of Week Laps Run Monday 4 3 Tuesday 4 5 Wednesday 8 2 Thursday 2 How many laps should he run on Friday?
24. A landscape designer is planning the layout of trees in a park. There are two types of trees: elm and pine. Three should be at least 6 total trees but no more than 30. The ratio of elm trees to pine trees will be 3:2. Draw a model to show the possible number of each type of tree. Parking Lot Key: X = Elm O = Pine 25. The following are the lengths in inches of twelve fish caught one day:, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6 Create a dot plot to display the data.
26. Kate waters the garden every 3 days and weeds it every 4 days. She does both on April 2 nd. What is the next date that she will both water and weed her garden? 27. Juan has 7 cups of chopped nuts. He wants to make either banana nut 2 muffins or carrot muffins. The table shows how many cups of nuts are needed for each batch. Muffin Type Banana Nut Carrot Chopped Nits per Batch cup 2 5 cup 8 a. How many batches of banana nut muffins can Juan make if he makes only banana nut muffins? b. How many batches of carrot muffins can Juan make if he makes only carrot muffins?
28. Robert recorded the temperature outside his house in the table shown. Time Temperature (F ) 4:00 p.m. 5 6:00 a.m. -7 Robert claims the difference between the temperatures is 8 degrees. a. Explain why Robert s claim is incorrect. b. What is the correct difference in temperatures? 29. Jose is transferring this drawing of a triangular roof to a coordinate plane. He plots point A at (-5, 2) and point B at (, 6). The length of the roof is 2 units in length. Graph point C and connect the points.
30. Write the expressions in the table to tell whether each is equivalent to 8(t + 4) or 8t + 4. If an expression is not equivalent to either, do not place it in the table.
3. The trapezoid shown is divided into a right triangle and rectangle. Write and expression that could be used to determine the area of the trapezoid. 32. Two ordered pairs are shown on the coordinate grid. Graph and label each of these ordered pairs in the correct location. (-a, b) (a, -b) (-c, -d)
Jose A R B G mile 22. unit is transferri scientist A ng measures this os greeting has drawing the card Carl 2.4 33. Ms. Stone buys groceries for a total of $45.32. She now has $32.25 left. Which equation could be used to find out how much money Ms. Stone had before she bought the groceries? a. $45.32x = $32.25 b. x - $45.32 = $32.25 c. x + $45.32 = $32.25 d. x + $32.25 = $45.32 34. Look at the box-0and-whisher plot of pumpkin weights. What is the median pumpkin weight? 6 4 0 625