Farnsley Middle School Summer Math Program

Farnsley Middle School

Summer Math Program

Incoming 8th graders

2013

Summer Math Practice

WHAT! You want us to do MATH...in the SUMMER???

In the past, students at Farnsley have participated in a summer reading program to ensure they retain the skills they have learned over the summer.

Through that program, the students have demonstrated how important it is to read and write throughout the summer. We have now widened the focus to ensure that students also retain previously learned math skills.

The students will be given math packets to complete over the course of the summer. These packets have been designed to review topics that were taught to them this past school year that teachers have identified as crucial for success in the next grade level. For optimal results, it is highly recommended that they complete a portion of the packet each week. This will ensure that skills are being reinforced weekly and that the students do not become overwhelmed.

You are also expected to know all of your multiplication facts when you come to Farnsley. Please make sure to practice these over the summer. Homeroom competitions will start early this year

Summer Brain Drain!

Did you know...

Research has found that on average, ALL students lose approximately 2.6 months of grade level equivalency in math skills over the summer months. This is almost one-third of a typical school year!

Requirements: The packet will count for the students first test grade in their math class. Should includes labels, units, appropriate math vocabulary , etc. ALL students entering grades 6-8 are expected to complete a summer math packet. All work needs to be shown with final answers listed on the answer sheet. Failure to do this will result in a drop of a letter grade on the assignment.

Due on Friday, August 30th

If you lose your packet, please go to farnsley.us to print another one.

Get off of those video games!

There are better ways to spend 20 minutes a day!

One of the goals of every Farnsley Student is to be FLUENT with their multiplication facts. There are lots of cool websites to help you practice these over the summer. Here are a few;



Parents can also sign their students up for a free account to practice skills. If your student completes at least 15 sessions over the summer, print out a progress report and turn it in for a free jeans pass!

You can also continue to access SUCCESSMAKER if you have a username/password by going to and clicking on Students and then the Successmaker logo.

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Please show all work in packet. Write final answers on THIS SHEET and turn in with your packet. NO CALCULATORS!

Integers 1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________ 10.________ 11.________ 12.________ 13.________ 14.________

Add/Sub Int.

1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________ 10.________ 11.________ 12.________ 13.________ 14.________ 15.________ 16.________ 17.________ 18.________ 19.________ 20.________

Mult/Div Int.

1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________ 10.________ 11.________ 12.________ 13.________ 14.________ 15.________ 16.________ 17.________ 18.________

Rounding 1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________ 10.________ 11.________ 12.________ 13.________ 14.________ 15.________ 16.________

Square Root 1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________ 10.________ 11.________ 12.________ 13.________ 14.________ 15.________

Combing Like

Terms/Exp. 1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________ 10.________ 11.________ 12.________ 13.________ 14.________

Factors 1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________ 10.________ 11.________ 12.________ 13.________ 14.________ 15.________ 16.________ 17.________ 18.________

Order of Operations 1._________ 2._________ 3._________ 4._________ 5._________ 6._________

Order of Op 1._________ 2._________ 3._________ 4._________ 5._________ 6._________ 7._________ 8._________ 9._________

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Farnsley Middle School

Students entering the 8th grade By the end of the 7th grade your student should be able to...

Compute unit rates Recognize and represent proportional relationships Use proportions to solve ratio and percent problems (ex. Tax, interest, percent

increase/decrease, sales). Add, subtract, multiply and divide rational numbers. (Should know integer rules) Solve real world problems involving 4 operations of rational numbers. Add, subtract, factor and expand linear expressions with rational coefficients Use variables to represent quantities in a real world or mathematical problem. Solve problems involving scale drawings computing lengths, areas, etc. Draw geometric shapes with given conditions (ex. Draw a triangle with 3-60 degree angles) Describe two dimensional figures that result from slicing 3-D figures. Know the formulas for area and circumference of a circle and use them to solve problems. Know the definitions of supplementary, complementary, vertical and adjacent angles and use

knowledge of them to find unknown angles in a problem. Solve problems involving volume, area, and surface area for two and three dimensional figures Make generalizations about a population using a sample Use data from population samples to draw inferences about a population Use measures of center and variability to draw inference about two populations. Understand that the probability of an event is a number between 0 and 1 that expresses the

likelihood of the event occurring. Approximate the probability of a chance event by collecting data (performing experiments) Draw a probability model and use it to find probabilities of events. Find probabilities of compound events using organized lists, tables, tree diagrams and

simulation. Should be able to fluently multiply and divde multi digit numbers Perform all fraction operations (add, subtract, multiply and divide)

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Incoming 8th grade Math Packet

2013

Topic: Integers

Examples:

Addition

Same signs: Add & keep sign +6 + +5 = +11 -8 + -2 = -10

Different signs: Subtract & take sign of larger value +9 + -5 = +4 -6 + +1 = -5

Subtraction

Keep?Change-Opposite (Add the opposite)

+10 - - 8 = +10 + +8 = 18

-5 ? +12 = -5 + -12 = -17

-20 - -8 = -20 + +8 = - 12

Multiplication

Same signs: Positive product (+7) (+8) = +56 (-2) (-6) = +12

Different signs: Negative product (+3) (-9) = - 27 (-5) (+4) = - 20

Division

Same signs: Positive quotient

+42 +6 = +7 -24 -8 = +3

Different signs: Negative quotient

+56 -7 = - 8 -50 +2 = - 25

Recall the order of operations: 1 ? Parentheses (or grouping symbols) 2 - Exponents 3 - Multiplication / Division (left to right) 4 - Addition/Subtraction (left to right)

Find each answer. 1. - 12 + - 7 = ______

2. - 25 + 18 = ____

3. 2 + - 25 = ____

4. - 28 ? - 8 = _____

5. 11 ? - 5 = ____

6. - 21 ? 4 = ____

7. (- 9) (- 8) = _____

8. ( 2 ) ( - 12) = _____

9. - 35 - 7 = _____

11. (- 2) ( + 6) (- 5) = _____

10. - 48 + 8 = _____ 12. - 30 + 24 6 . - 2 = _____

13. 16 4 + 2 . - 8 = _____

14. - 3 (1 ? 8) + 23 = _____

** Practice your INTEGER RULES using websites and on-line games!! You really MUST know these!! **

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Incoming 8th grade Math Packet

2013

Adding and Subtracting Integers

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 = a

becomes 6 + -11 = a

and solves as -5 = a.

Exercises: Solve the following problems: No Calculators!

1. 6 + (-7) =

2. (-4) + (-5) =

3. 6 + (-9) =

4. (-6) - 7 =

5. 6 - (-6) =

6. 7 - (-9) =

7. 5 + (-8) =

8. -15 + 8 =

9. 14 + (-4) =

10. -9 - (-2) =

11. -7 - 6 =

12. -8 - (-19) =

13. 29 - 16 + (-5) =

14. -15 + 8 - (-19) =

15. 45 - (-13) + (-14) =

16. -15 - 6 - 9 =

17. -7 + (-6) - 7 = 19. 17 + (-7) - (-5) =

18. 29 - 56 - 78 = 20. 45 - (-9) + 5 =

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Incoming 8th grade Math Packet

2013

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