Ramapo Ridge Middle School Suggested Summer Math Activities for students who have completed 6th grade math (entering PreAlgebra 7 or PreAlgebra 7/8) Name:_______________________ You’ve learned SO much this year!! It is important that you keep practicing your mathematical knowledge over the summer to be ready for 7th grade. In this document, you will find a calendar of activities for the months of July and August. In conjunction with your work on your summer preparation packet, you should plan to spend time each week working on your math facts using some of the suggested websites below. Your parent should log the time that you spent practicing on your July and August calendars. Once you have completed a week’s worth of activities, have a family member initial the appropriate weekly topic box on the calendar. It would be helpful to use a summer math notebook to record and show all of your work in a neat and organized fashion. Here are some fun and useful websites that you can visit over the summer for more practice www.ixl.com www.khanacademy.org http://www.multiplication.com/students.htm http://www.webmath.com http://mathcats.com/contents.html http://www.aplusmath.com/ http://www.coolmath.com/ http://www.funbrain.com/tens/index.html Remember to bring your math notebook and July and August calendars to school in September. Have a great summer! Your Seventh Grade Teachers Column 1 1. Janie’s temperature WEEK 1 PLACE VALUE was 101.2 when she went to the doctor. a.This number is a little less than 102 b. a little more than 102 c. a little less than 101 d. a little more than 101 Explain your answer (use a number line). Math Fact Log: ________ WEEK 2 FRACTIONS, DECIMALS & PERCENTS 1. Kim finished only 7 of the questions 20 Column 2 Column 3 2. In 1999 there were 179.63 million tons of garbage generated. What is this number rounded to the NEAREST tenth? 3. Write the number 60,000 + 8,000 + 900 + 7 + 6 in WEEK 3 REAL WORLD APPLICATIONS Math Fact Log: ________ WEEK 4 WHOLE NUMBERS & DECIMALS Math Fact Log: ________ a. 1 78 1 92 100 4. 8,592.37 rounded to the nearest hundred is what number? 3. What fraction of the figure is shaded? 100 b. 1 10 100 standard notation. 7 8 7 8 3 1 10 100 10 100 1000 c. 1 7 1 1 7 8 8 1 10 100 10 100 5. 60% of $120 is _______? 6. Larry’s soccer team only lost 30% of its 30 games last season. How many games did they lose? on her written test for a driver’s license. What percent names the same amount? Math Fact Log: ________ 5. Which comparison is NOT true? Explain your answer. 2. What is the decimal equivalent for 30%? 1. Mr. Finn buys 29 portfolios for his office. Each portfolio costs $18.99, including tax. Is Mr. Finn’s estimate of $400 a reasonable estimate of the total cost of the 29 portfolios? Show and explain your thoughts. 4. Convert that fraction to a decimal and a percent. 1. Chris wrote this number sentence: 6.2 – 1.05 = 5.25 Is he correct? Show your thoughts or explain how you determined whether or not his answer was correct. 2. A puppy weighs 6.5 pounds. The puppy’s mother weighs 10 times as much as that. What does the puppy’s mother weigh? 2. The bookstore is having a sale in which you can get 4 notebooks for $7.00 and 10 folders for $2.50. How much will it cost to buy 5 notebooks and 6 folders? 3. Find the quotient: $78.04 ÷4.1 3. Alisha is putting cheese cubes and crackers onto small plates for a graduation party. She has 24 cubes of cheese and 40 crackers. She wants both cheese and crackers on each plate and each plate must have the same number of cheese cubes and the same number of crackers. What is the greatest number of plates she can make using all of the cheese and crackers? Explain your answer. 4. Mrs. Lee bought $32.67 worth of groceries. If she gave the cashier $40, how much change did she get back? Column 4 Column 5 6. In Monica’s school, semester grade averages are computed to two decimal places. Last semester, Monica’s grade average was 83.34. This semester, her grade average was 0.01 point higher. What was her grade average this semester? 7. What is 4.97 x 106 in standard form? 7. There are 640 students at Smith Middle School and 65% of them study a world language. How many of the students DO NOT study a world language? 8. Ken plans to run 4 miles 4. The length of a rectangular room is 12.8 meters and the width is 10.9 meters. Will 145 square meters of carpeting be enough to completely cover the floor? Explain or show how you determined your answer. 5. Four 7th graders are working on a project. They are going to paint a large banner and need to protect the floor. They measured the floor, which is 3.05 meters by 3.658 meters. How many square meters of plastic do they need to cover the floor? this week. If he runs 2 mile 3 each day, how many days will it take her to run 4 miles? Will she be able to run 4 miles in week? Explain your answer. 4 5. Cara ran of a mile, 5 Steve ran 2 of a mile and 3 Kelly ran 1 1 of a mile. 3 How many miles did they run all together? 6. Find the product: 3.5 x 9.5 7. Find the sum: 16.7 + 21.37 8. Find the difference: 7.09 – 1.3 WEEK 1 RATIOS & PROPORTIONS Math Fact Log: ________ WEEK 2 GEOMETRY Math Fact Log: ________ WEEK 3 EXPRESSIONS AND EQUATIONS Column 1 Column 2 Column 3 Column 4 Column 5 1. The cost of a tent rental is $160 for 5 days. Write and solve a proportion to find the cost of renting the same tent for 8 days. 3. There are 40 members in the school computer club. Eighteen of the members are boys. What is the ratio of girls to boys in the computer club? 5. A smoothie recipe calls for 4 bananas for every 3 cups of yogurt added. If 16 bananas are used, how many cups of yogurt should be added? 7. There are 5 blue marbles, 6 green marbles, and 9 orange marbles in a box. What is the ratio of orange to blue marbles in the box? 2. What value of x will make this proportion true? 4. A radio station played 9 songs in 40 minutes. At this rate, how many songs will the ratio station play in 120 minutes? 8. A bag holds 32 tiles. The tiles are either red or blue. If there are 20 red tiles in the bag, what is the ratio of blue tiles to red tiles? Write your answer in simplest form. 6. A garden is shaped like the right triangle below. What is the area of the garden below? 7. What is the circumference of a circle with a diameter of 9 inches? 3 9 7 x 1. What is a good estimate for the measure of this angle? 2. How would you classify a triangle that has 1 right angle and 2 congruent sides? 1.Write the following expressions in exponential notation. a. 3333 b. 55222 3. Three corners of a rectangular city block are located at (2, 2), (2, -4), and (- 5, -4) on a coordinate grid. What are the coordinates of the fourth corner? 6. Justin can read 12 pages in 20 minutes, How many pages can he read in 50 minutes? 5. How much water will fill this cement mold below? 8. What is the area of the same circle? 4. What is the area and perimeter of this rectangular city block? 2. Evaluate: 3. Evaluate: 62 3 3 52 4 4. Simplify: a. b. 2 x 3x x 4(2 x) 5. Solve and check each equation. a. b. c. d. Math Fact Log: ________ x 7 20 22 a 5 y 12 4 8w 56 6. Ava charges $15 per hour for babysitting. Let h represent the number of hours she babysits and E represent how much she earns. Choose True or False for each statement below. Explain. a. h + 15 = E is the equation that represents how much Ava earns after h hours. b. If Ava babysits for 5 hours, she earns $20. c. 15h = E is the equation that represents how much Ava earns after h hours. d. If Ava earns $52.50, then she babysat for 3.5 hours. e. 75f represents how much Ava makes after f number of WEEK 4 POSITIVE AND NEGATIVE NUMBERS Math Fact Log: ________ 1.One morning it was – 19 F in Columbus, OH and – 7 F in Pittsburgh, PA. Was it warmer in Columbus or Pittsburgh? How do you know? 2. Five friends played a game where you earn positive and negative points. Their final scores were – 3.5, 2, – 3, – 1 and 1.5. What was the highest score? What was the lowest score? Draw a number line to support your answer. 3. Order the values below from least to greatest. 3 5 , 1, , 2, 0.9 4 4 4. Find the value for the following: a. |15 | b. | 6 | c. | 4 6 | d. | 4 | | 6 | days babysitting 5 hours a day. 5. From the list below, write a number in each box to create three true mathematical statements. Each number can only be used once. ________> _________ ________< __________ ________= ___________ | 3 | 3 4 7 9 |-9| 0 |2|
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