Parkland Summer Math packet
For Students Entering Investigation in Math This summer math booklet was developed to provide students an opportunity to review math objectives and to improve math performance.
Summer 2015
Student Name ______Summer Mathematics Packet for students entering Investigations in Math
Dear Parents and Students,
In this booklet you will find math activities that will help to review and maintain math skills learned in math 6/7 and compacted 5/6 and prepare your child for Investigations in Math. There are only a few activities and each is meant to show how much fun and relevant math can be in everyday life. These are activities that should be done throughout the summer. They are not intended to be completed in that last 2 or 3 days before school begins.
Parents and students should discuss the activities, and parents should check to see if the activities have been completed correctly. The packet and the work should be returned to your child’s Math 6 teacher on the first day of the 2015-2016 school year. The packet will be counted in the 10% homework category for the first quarter of Investigations in Math. It is a completion grade in the homework category.
It is also important that your child practice multiplication facts throughout the summer.
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Find Percent of a Number
Hints/Guide:
To determine the percent of a number, we must first convert the percent into a decimal by dividing by 100 (which can be short-cut by moving the decimal point in the percentage two places to the left), then multiplying the decimal by the number. For example: 4.5% of 240 = 4.5% · 240 = 0.045 · 240 = 10.8
% is or use this formula = 100 of
Exercises: Solve for n. SHOW ALL WORK. Use a separate sheet of paper (if needed) and staple to this page.
1. 305% of 450 = n 2. 7.5% of 42 = n
3. 120% of 321 = n 4. 15% of 54 = n
5. 0.65% of 320 = n 6. 800% of 64 = n
7. 95% of 568 = n 8. 150% of 38 = n
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Solve Real World Problems Using Percent
Hints/Guide:
When solving percent problems, we apple the rules for finding percent of a number in realistic situations. For example, to ding the amount of sales tax on a $450.00 item if the tax rate is 5%, we find 5% of 450 (.05 · 450 = 22.5), and then label our answer in dollars, getting $22.50.
Exercises: Solve the following items. SHOW ALL WORK. Use a separate sheet of paper (if needed) and staple to this page.
1. Susie has just bought a pair of jeans for $49.95, a sweater for $24.50, and a jacket for $85.95. The sales tax is 5%. What is her total bill?
2. Jack bought a set of golf clubs for $254.00 and received a rebate of 24%. How much was the rebate?
3. The regular price for a video game system is $164.50 but is on sale for 30% off. What is the amount of the discount?
What is the sale price?
4. The band had a fundraiser and sold $25,800 worth of candy. They received 38% of this amount for themselves. How much did they receive?
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Integers I
Hints/Guide:
To add integers with the same sign (both positive or both negative), add their absolute values and use the same sign. To add integers of opposite signs, find the difference of their absolute values and then take the sign of the larger absolute value.
To subtract integers, add its additive inverse. For example, 6 – 11 = 6 + -11 = -5
Exercises: Solve the following problems.
1. (-4) + (-5) = 2. –9 – (-2) = 3. 6 - (-9) =
4. (-6) – 7 = 5. 7 – (-9) = 6. 15 – 24 =
7. (-5) + (-8) = 8. –15 + 8 – 8 = 9. 14 + (-4) – 8 =
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Integers II
Hints/Guide:
The rules for multiplying integers are: Positive · Positive = Positive Negative · Negative = Positive Positive · Negative = Negative Negative · Positive = Negative
The rules for dividing integers are the same as multiplying integers
Exercises: Solve the following problems.
1. 4 · (-3) · 6 = 2. 5 (-12) · (-4) = 3. (4)(-2)(-3) =
(5)(6) 6(4) 56 4. 5. 6. 2 8 23
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Temperatures and Integers (No calculators)
1. The temperature in Gaithersburg this morning is 34o F. It will rise 45o today. What will be the high temperature for today? ______
2. Last February Anchorage, Alaska started the day with a temperature of 16o F. The temperature dropped 27o that day. What was the final temperature? ______.
3. The temperatures in Hanover, NH for the week of February 11 were as follows:
-1o , 16o , 21o , -4o , 22o , -2o , and 7o . Find the average temperature for
Hanover, NH for that week. ______
4. Ice fishing in Canada is a popular sport. On one day the temperature was -42oF . The next day the temperature dropped by 17o. What was the temperature the second day? ______
5. In a very warm climate in South America, the temperature for the day was 93oF . Ms. Juarez heard that it was 9o cooler than the day before. What was the temperature the day before? ______
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Real World Math – Unexpected Events – Applying Math Concepts to Everyday Life.
Checking accounts are an important part of life. You use a checkbook to keep track of the money you have as you pay out money and receive money.
Below you will find a check register. Each transaction will be a Debit (-) or a Credit(+). After each transaction, you will compute the new balance. Transactions are on the next page. The first few are done for you.
Check Register
8 Summer Mathematics Packet for students entering Investigations in Math Transaction Payment or Debit (-) Deposit or Credit(+) Balance
100 00
1. Replace window - 70 00 30 00
2. Sell CDs +30 00 60 00
3. Trip to vet
4.
5.
6.
7.
8.
9.
10.
11.
12.
Final Balance x x x x
1. You are playing baseball and break a neighbor’s window. Pay your neighbor $70 to replace the window. 2. You earn $30 selling some old CDs. 3. Your cat is sick and you take it to the vet. It costs you $45. 4. You win the school raffle and get $50. 5. You buy your brother a birthday present and spend $25. 6. A magazine pays you $15 for a poem you wrote.
9 Summer Mathematics Packet for students entering Investigations in Math 7. You return a book to the Media Center and pay a fine of $35 for overdue books. 8. You break your leg playing soccer. You rent crutches for $100. 9. You have to stop at the store and buy $60 worth of dog food.
10.You and your brother go to the movies. You pay for both of you for $25. 11. You are caught walking your dog without a leash. The fine is $75. 12. You get $60 for being a winner in the school fundraiser.
Final Product Create a math game!
Here’s your opportunity to show your creativity.
10 Summer Mathematics Packet for students entering Investigations in Math Create a math game that uses equations You must have the following in the description of your game:
Name of your game. Objective of the game. Directions on how to play your game. Rules of the game. At least 20 math equations and inequalities. ¾ of the math problems need to have negative numbers. An accurate answer key to your problems. You do not need to bring the game to class. Attach the description with the math equations and inequalities included in the game to the back of this packet.
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