Clover School District Summer Math Learning Packet
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Clover School District
Summer Math Learning Packet
Students entering Grade 8
These summer math activities will enable your child to review math concepts and reinforce skills learned this year. Just a few minutes
each day spent “thinking and talking about math” will help reinforce all the math that has been learned and begin to bridge the
foundation for extending to concepts that will be developed next year. The goal is for your child to have fun thinking and working
collaboratively to communicate mathematical ideas. While your child is working, ask him/her how the solution was found and why a
particular strategy was chosen.
The math practice in this summer packet addresses 4 critical areas in grade 7:
1. developing understanding of and applying proportional relationships;
2. developing understanding of operations with rational numbers and working with expressions and linear equations;
3. solving problems involving scale drawings and informal geometric constructions, and working with two- and three-
dimensional shapes to solve problems involving area, surface area, and volume; and
4. drawing inferences about populations based on samples.
Packet contains: Suggested Use:
• Math problems for June and July with an answer key • Complete at least 15 math days each month
• Literature, APP, and website recommendations • Spend at least 10 minutes 4-5 times a week
• Math journal directions • Keep a math journal to record work
• Make a summer math goal with your child
Student mathematicians - keep your mathematics skills sharp and have a safe and enjoyable summer. J
Clover School District 2021 Adapted from Cambridge Public Schools http://www3.cpsd.us/Math/math_summerWebsites to Explore:
Summer Math Ideas http://www.aplusmath.com/
http://www.gregtangmath.com/
Grade 8 Students http://www.coolmath4kids.com/
http://www.playkidsgames.com./
http://www.coolmath.com/
Why Math Journals? http://www.figurethis.org./index.html
Math journals are important tools to help build note-taking skills and mathematical http://xtramath.org/
communication. They can be used to record your thinking from the calendar math http://www.ixl.com/
problems as well as the other summer math ideas to explore. http://nrich.maths.org/frontpage
http://learnzillion.com
DIRECTIONS: http://www.khanacademy.org/
http://mathforum.org/index.html
Do your best to complete as many of these summer math activities as you can! http://www.thinkingblocks.com/
Record all your work in your math journal. In August, share your Math Journal http://mathplayground.com/
with your eighth grade teacher. http://illuminations.nctm.org/Search.aspx?view=search&gr=6-8
https://www.sumdog.com
Each journal entry should: https://mathfights.com
ü Have the date of the entry https://www.desmos.com
http://www.knowledgeadventure.com/subject/math-games/
ü Have a clear and complete answer http://www.thirteen.org/get-the-math/
ü Be neat and organized
Here are two examples of “Great” journal entries: APPs to Try:
Grades 6-8 All Grades
June 4, 2021 • Everyday Mathematics, Beat the Computer, • KENKEN
If 3 books cost $18, then I know 1 book costs $6. 7 books would Multiplication • Kakooma
cost $42. With $54, I could purchase 9 books since 9 X 6 = 54. • Everyday Mathematics, Divisibility Dash • Quick Math – Arithmetic &
• Everyday Mathematics, Equivalent Fractions Times Tables
• Fill the Cup • Pick-a-Path
July 28, 2021 • Pizza Fractions 1
• Sumdog
Thinking Blocks Ratios APP: I practiced problems to review how to • Operation Math
• Conundra Math
find the missing quantity in a ratio. I built my model using a bar • Tony’s Fraction’s Pizza Shop
• Thinking Blocks
diagram. Using a bar model helps me to visualize the problem. I was • Pearl Diver HD
• Lobster Diver HD • Fast Facts Addition,
able to correctly answer 5 problems. Subtraction
• Factor Samurai – multiplication and division
• Ninja Chicken • Fast Facts Multiplication,
• Fraction App by tap to Learn Division
Math Books to Read: • Learn Zillion
• Dare to Share Fairly
Evil Genius by Catherine Jinks • Long Division Touch • Khan Academy
Forever Changes by Brendan Halpin • Math Ninja HD • Symmetry shuffle
All of the Above by Shelley Pearsall • Quick Math • Math matrix
Hannah Divided by Adele Griffin • Wuzzit Trouble • Ratio rumble
• Sushi Monster • Math doodles
Guinness Book of Records by Time Inc. • Deep Sea Duel • Flash to Pass
Mathematicians are People Too by Luetta Reimer & Wilbert Reimer • Super 7 • Slice It!
• Chicken coop fractions • 2048
Worksheets to Practice Math: • Math vs zombies
http://www.gregtangmath.com/resources • Mathmateer
http://www.commoncoresheets.com/ • Buzzmath
Clover School District 2021 Adapted from Cambridge Public Schools http://www3.cpsd.us/Math/math_summerJune 2021 Entering Eighth Grade Mathematics Calendar
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
1 2 3 4 5
Twice a number (n) Try a new activity at A menu has these options for Solve:
minus nine is ninety- http://www.coolmath4kids.com/. sandwiches: 3 types of bread, 4 45 ÷ (-9) =
five. Find the number meat choices, and 5 topping
(n). choices. How many possible (-105) ÷ (-15) =
Challenge yourself. What did sandwiches can be made? Can
you choose to do? you create a different menu with
the same outcome?
6 7 8 9 10 11 12
Look up a math topic and Joe has an 80ft:1inch scale- Write an expression for the Visit the website If the product of 6 integers is
read about the history. Who drawing of the floor plan of his sequence of operations http://nlvm.usu.edu/en/nav/ negative, at most how many
discovered it? How was it house. On the floor plan, the below: vlibrary.html. of the integers can be
used? Ex. pi, gallons, metric. dimensions of his rectangular negative?
living room are 1⅞ inches by Add 3 to x, subtract the
result from1, then double
2½ inches. What is the area of Challenge yourself with fun
what you have. activities! List them.
living room in square feet?
13 14 15 16 17 18 19
Games Unlimited buys video Go to website: Using a grocery store Can a triangle have more Describe situations in which
games for $10. The store http://illuminations.nctm.org/Se receipt, figure what than one obtuse angle? opposite quantities combine
increases the price 300%. arch.aspx?view=search&gr=6- percentage of the bill was Will three sides of any to make 0.
What is the price of the 8. spent on vegetables, meat, length create a triangle?
video game? drinks, junk food, and other.
Choose a resource to explore.
20 21 22 23 24 25 26
The pages of a book are Choose a favorite professional Miaʼs cell phone plan is $15 a Which is a better price? Why? 33.3% is the answer. What
numbered consecutively from athlete and research his/her month including free texting a. 15oz. for $1.69 could the question possibly
1 to 275. How many times is annual salary. How much does plus $0.20 per minute of call b. 12 oz. for $1.49 be?
the digit 8 used in numbering s/he earn in a month? A day? time. Mia made 30 minutes of Challenge yourself to think of
the pages? calls this month, and 110 texts. more questions.
How much does she have to
pay?
We encourage your child to
27 28 29 30
Try one of the recommended Visit the website Figure this There are three choices of • complete at least 15 math days each month
math APPs. Record what you and solve a real life math jellybeans: grape, cherry and • spend at least 10 minutes a day, 4 to 5 times a
did challenge. orange. If the probability of week, practicing math
getting a grape is 3/10 and the • use a math journal to record his work
probability of getting cherry is
http://www.figurethis.org/index.ht 1/5, what is the probability of • create a goal to help him stay strong in math
ml getting orange? over the summer.
Clover School District 2021 Adapted from Cambridge Public Schools http://www3.cpsd.us/Math/math_summerJuly 2021 Entering Eighth Grade Mathematics Calendar
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
We encourage your child to
• complete at least 15 math days each month
• spend at least 10 minutes a day, 4 to 5 times a week, practicing math
• use a math journal to record his work
• create a goal to help him stay strong in math over the summer
1 2 3
Visit the website: Play a strategy game.
http://nrich.maths.org/9465. Ex. Monopoly, Parcheesi,
Mancala, Connect Four.
Play a game with positive &
negative integers. What strategy did you
use?
4 5 6 7 8 9 10
Look up a famous math Play Sudoku from the Visit the website Figure this George’s weekly pay rate is $455 m∠A= 13∘ and
person and read about newspaper or online. and solve a real life math per week. He receives a 20%
m∠B=77∘
him/her. What did he/she challenge. raise. What is his new weekly
discover? How was it How did logic help you to wage rate? Are the angles
complementary?
used? Ex. Fibonacci, solve the puzzle? http://www.figurethis.org/index.h
Pythagoras. tml
11 12 13 14 15 16 17
Visit the website: Calculate: Find the area of a circle if the Dave buys 2 pineapples and Dan’s salary is $70 less than
http://nrich.maths.org/5864 7x8= diameter is 20 feet. some bananas. One pineapple is Sam’s, whose weekly salary
and play Connect Three (-7) x 8 = $2.99. Bananas are $0.67 per lb. is $50 more than Jan’s. If Jan
with positive & negative (-7) x (-8) = A = πr2 He wants to spend less than earns $280 per week, how
integers. $10.00. Write an inequality that much money does Dan earn
π ≈ 3.14
represents the number of pounds per week?
of bananas, b, he can buy.
18 19 20 21 22 23 24
In the following equation, a Make a paper airplane and fly On May 1st, Jay’s mom gave Two adjacent angles are Try one of the recommended
and b are both integers, find it several times. Find the him 1 cent. Each day, she paid always complementary. True math APPs. Record what you
their value: mean, median, and mode of double the amount she paid the or false? did
a(3x – 8) = b – 18x the distance your plane can day before. How much money
fly. did Jay earn in total by May 15?
25 26 27 28 29 30 31
Solve: Go to website: Using a receipt, find the mean, Solve: 3w + 2 = 20 Joe has a bag containing 8 red
2 + (-3) = http://gregtangmath.com/Kako median, and mode of the prices of sweets, 9 yellow sweets and 11
(-2) + (-3) = oma/Kakooma?gameType=N the items on the receipt from a green sweets. He takes out a
(-2) + 3 = store (grocery, clothing). Can you write a real world problem sweet and eats it, then he
egatives.
that this equation represents? takes out a second sweet.
What is the probability that
Choose a level and enjoy both the sweets are red?
practicing your quick
calculations. YOU DID IT! Please bring your journal
to your eighth grade teacher on the
first day of school!
Clover School District 2021 Adapted from Cambridge Public Schools http://www3.cpsd.us/Math/math_summerGrade 8 Answer Key - 2021
Answers will vary for many of the activities depending on the choices students make. Below are the answers for activities with specific solutions.
June 1 June 18
2n – 9 = 95 Example:
n= 52 You borrow $10 from a friend and then you pay your friend back.
June 3 June 21
There are 60 possible sandwiches. Use the counting principle (3 x 4 x 5 = 60), make a Numbers are 8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 98,
table, or tree diagram. 108, 118, 128, 138, 148, 158, 168, 178, 180, 181, 182, 183, 184, 185, 186, 187, 188,
Answers will vary for creating a different menu. 189, 198, 208, 218, 228, 238, 248, 258, 268.
Examples: 2 x 2 x 15 OR 2 x 3 x 10. The number 8 will occur 47 times.
June 4 June 23
45 ÷ (-9) = -5 (-105) ÷ (-15) = 7 15 + (0.20 x 30) = 15 + 6 = 21
She has to pay the phone company $21.
June 8
The dimensions of the real living room in inches are: June 24
80 × 1 7/8 = 150 in. 1.69 ÷ 15 ≈ 0.112 1.49 ÷ 12 ≈ 0.124
80 × 2½ = 200 in. 15 oz. for $1.69 is a better value as it is $0.11 per oz. and 12 oz. for $1.49 is $0.12 per
The area of the real living room is 150 in × 200 in = 30, 000 in2. oz.
To convert square inches to square feet, you have to divide by 122 = 144.
30, 000 ÷ 144 = 208⅓. So the area of the living room is 208⅓ ft2. June 25
Another way to solve: 150 ÷ 12 = 12½ feet and 200 ÷ 12 = 16⅔ feet so 12½ x 16⅔ = Example: A store is having a 1/3 off all merchandise sale. What percent off would that
208⅓ square ft. be?
June 9 June 30
2(1 - (X + 3)) Probability of getting a grape is 3/10. Probability of getting a cherry is 1/5 or 2/10.
Probability of getting a grape or cherry is 3/10 + 2/10 = 5/10.
June 11 1 – 5/10 = 5/10 or 1/2
Any ODD number of negative integers will lead to a negative answer, therefore with the The probability of getting an orange jelly bean is ½.
limit being 6, the answer will be 5.
June 14 July 8
Using proportional reasoning, if $10 is 100% then what amount would be 300%? Since $455 + $455(0.20) = $546.00 OR $455 x 1.20 = $546.00
300% is 3 times 100%, $30 would be $10 times 3. Thirty dollars represents the amount
of increase from $10 so the new price of the video game would be $40. July 9
The two angles are complementary. Complementary angles add up to 90 degrees.
June 17
No, a triangle cannot have more than one obtuse angle. An obtuse angle is a July 13
measurement that is greater than 90 degrees. When all the interior angles of a triangle 7 x 8 = 56 (-7) x 8 = -56 (-7) x (-8) = 56
are added together, they must add up to 180 degrees.
July 14
No, the sum of the two smaller sides must be larger than the third side. The diameter equals 20 so the radius equals 10 since it is half of the diameter.
A = πr2 = π(10)2 = 100π ≈ 100(3.14) = 314
The area of the circle would be 314 ft2.
Clover School District 2021 Adapted from Cambridge Public Schools http://www3.cpsd.us/Math/math_summerJuly 15 2 pineapples + some bananas and spend less than $10. Let b = pounds of bananas. 2(2.99) + 0.67b < 10 b
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