Entering 7th Grade Math Summer Packet

Math Summer Packet For Students Entering 7th Grade

Doral Academy Prep School Math Department

Dear Parents and Students, We are assigning this work in an effort to prepare our students for a successful school year,

and to provide them with an appropriate way to assist them retaining basic mathematical knowledge needed for the 7th grade.

This work is not intended to be completed in one sitting. It is intended to be completed at a steady pace throughout the summer. It will be the first grade to be entered in the grade book upon returning to school. All exercises have space to show calculations, and calculator answers will not be accepted. All work must be shown to receive the credit.

The students may be assisted, and we encourage you use the Glossary included in the school's website, on Mrs. Linette Prats' page. Additionally, each section begins with examples to be followed, and you may refer to the provided FCAT 2.0 Reference Sheet.

Remember that the educational process is a team effort and we all play vital roles- teachers, parents, and students.

Your partners in education,

Doral Academy's Math Department Team

Grades 6?8 FCAT 2.0 Mathematics Reference Sheet

Rectangle

Area A bh

Parallelogram Triangle Trapezoid

A bh

A

1 2

bh

A

1 2

h

(b1

b2)

KEY

b base

A area

h height

B area of base

w width

C circumference

d diameter

V volume

r radius

P perimeter of base

slant height S.A. surface area

Use 3.14 or

22 7

for .

Circle

A r2

Circumference C d or C 2r

Volume/Capacity

Rectangular Prism

V bwh or V Bh

Right Circular Cylinder

V r2h or V Bh

Right Square Pyramid

V

1 3

Bh

Right Circular Cone

V

1 3

r2

h

or

V

1 3

Bh

Total Surface Area

S.A. = 2bh + 2bw + 2hw or S.A. = Ph + 2B

S.A. 2rh 2r2 or S.A. 2rh 2B

S.A.

1 2

P

B

S.A.

=

1 2

(2r)

+B

Sum of the measures of the interior angles of a polygon = 180(n - 2 )

Measure of an interior angle of a regular polygon

where: n represents the number of sides

=

180(n n

2 )

Florida Department of Education

Grades 6?8 FCAT 2.0 Mathematics Reference Sheet

Pythagorean theorem

a

c

a2 b2 c2

b

Slope-intercept form of a linear equation y mx b

where m slope and b y-intercept

Simple interest formula I prt

where p principal, r rate, t time Distance, rate, time formula d rt

where d distance, r rate, t time

Conversions within a System of Measure

1 yard 3 feet

1 meter 100 centimeters 1000 millimeters

1 mile 1,760 yards 5,280 feet

1 kilometer 1000 meters

1 acre 43,560 square feet

1 liter 1000 milliliters 1000 cubic centimeters

1 cup 8 fluid ounces

1 gram 1000 milligrams

1 pint 2 cups

1 kilogram 1000 grams

1 quart 2 pints

1 gallon 4 quarts

1 minute 60 seconds

1 pound 16 ounces

1 hour 60 minutes

1 ton 2,000 pounds

1 year 52 weeks 365 days

Conversions between Systems of Measure

When converting from Customary to Metric, use these approximations.

1 inch 2.54 centimeters 1 foot 0.305 meter 1 mile 1.61 kilometers

1 cup 0.24 liter 1 gallon 3.785 liters 1 ounce 28.35 grams 1 pound 0.454 kilogram

When converting from Metric to Customary, use these approximations.

1 centimeter 0.39 inch 1 meter 3.28 feet 1 kilometer 0.62 mile

1 liter 4.23 cups 1 liter 0.264 gallon 1 gram 0.0352 ounce 1 kilogram 2.204 pounds

Temperature conversions between Celsius and Fahrenheit

?C (?F 32) 1.8 ?F (?C 1.8) 32

Florida Department of Education

Big Idea 1: BIG IDEA 1 Develop an understanding of and apply proportionality, including similarity.

1.) It is recommended that for every 8 square feet of

2.) An 8-ounce glass of Orange juice contains 72

surface, a pond should have 2 fish. A pond that has a milligrams of vitamin C. How much juice contains 36

surface of 72 square feet should contain how many fish? milligrams of vitamin C?

3.) 9 is what percent of 30?

4.) What percent of 56 is 14?

5.) Kristen and Melissa spent 35% of their $32.00 on movie 6.) Jake's club has 35 members. Its rules require that

tickets. How much money did they spend?

60% of them must be present for any vote. At least how

many members must be present to have a vote?

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