Entering Geometry Packet

8/12/2019 Entering Geometry Packet

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Entering Geometry Summer Math Packet 2013 Page 1

Summer Math Packet 2013

Students Enter ing

Geometry

Name: _____________________________ Date: ________________

Teacher: _____________________________ School: _______________

Entering Geometry Summer Math Packet is posted at

http://www.stratfordk12.org/Content/2013_Summer_Assignments_for_Students.asp
http://www.stratfordk12.org/Content/2013_Summer_Assignments_for_Students.asphttp://www.stratfordk12.org/Content/2013_Summer_Assignments_for_Students.asphttp://www.stratfordk12.org/Content/2013_Summer_Assignments_for_Students.asp


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Entering Geometry Summer Math Packet 2013

Dear Students,

This is your Summer Math Packet. Remember, if you were on a basketball team or a

baseball team you would practice all year for the season. A dancer or a musician

practices every day. And you wouldnt practice the last week before the performance orthe game. You would build up to the season and be ready to perform well!

The packet has been divided in to the four mathematical strands:

Number and Quantity

Measurement and Geometry

Statistics, Probability, and Discrete Mathematics

Algebra and Functions

Do a little of your Summer Math Packet each day. You are not expected to do all of

it on the first day or the last week. Pace yourself and do a little each week. Use theformula sheet on the next page when necessary.

Your Summer Packet will be used to analyze your strengths and weakness and assist

your teacher in helping you grow mathematically throughout the year.

You are expected to complete the math packet and return it on the first day of school.

Thank you and have a great summer!

Dear Parents/Guardian,

We have developed this math booklet to prepare students for their upcoming mathematics

course. Students need practice in mathematics over the summer months. The

mathematics content covered in this packet is an essential component of your studentscourse next year. Students are expected to complete the packet and return it on the first

day of school.

Many students may need your support working out a plan to complete the packet

successfully. By fostering a positive approach about math at home, we can help our

students learn important math skills and concepts and assure success.

Sincerely,

The Secondary Mathematics Department

Stratford, Connecticut


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Entering Geometry Summer Math Packet 2013

CAPT Ruler

SAT Formula Sheet


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Part I: Short Response

Algebra Skill Review

1. Evaluate when a = 2 and b = -5

a. 33 ab

b.

2ba

2. Evaluate when r = 3 and q = -2

a. 2qrq

b. qrrq 233

3.

Solve the following equation for x.

a. 5752 x

b. )4(2453 xxx

c. xx 42)1(23

d.96

1610

x

e.1

5

7

1

x

x


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4. Write both solutions for x.

a. 1692 x

b. 3062 x

5.

Factor

a. 1442 x b. 1682

xx c. 3522

xx

6. Solve and graph the inequalities.

a. 3x

b. 1263 x

7. Rearrange each formula to find the underlined variable.

a. V=lwh

b. P=2L+2w

c. N=gh+jh

8.

If Tis the midpoint of find the values ofxand ST. The diagram is not to scale.

0 1 2 3 4 5 6 7 8 9 10 11 12 13012345678910111213

0 1 2 3 4 5 6 7 8 9 10 11 12 13012345678910111213

S UT

9x 4x + 25


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9. According to the pattern, make a conjecture about the product of 13 and 8,888,888.

88 = 1144

888 = 11,544

8888 = 115,544

88,888 = 1,155,544

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________

10.

Find the slope of the line between these two points.(-3,4) (5,6)

11.Find the x-intercept and y- intercepts in the graph of 4843 yx

12.

Use the graph to find the following:

a. Slope

b. y-intercept

c. Equation of the line in slope, intercept form

.


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13.Write the equation of each line in slope-intercept form. Graph the line below.

a. 862 xy b. 73 yx

14.Write the equation of the line that passes through (5,-8) and is parallelto 49 xy

Leave in slope-intercept form.

15.Write the equation of the line that passes through (-7,2) and is perpendicularto

yx 78

16.Write the equation of the line that passes through (5,-3) and (4,-2) in both slope-intercept

and point-slope form.


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NumberofCustomers

Week

1 2 3 4 5 6 7 8 9 10

1

2

3

4

5

6

7

8

9

10y

17.CAPT Mathematics: Crater LakeAlgebraic Reasoning

Show or explain how, according to the graph, how many miles of Rim Drive are downhill?

18.Mays Internet Services designs websites. May noticed an increase in her customers over

a period of 5 consecutive weeks.

a. Based on the pattern shown in the graph, make a conjecture about the numberof

customers May will have in the 8thand 10thweeks.

b. Find the slope for the graph.

c. Write the equation of the line in y = mx + b form.

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________


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Part II: Extended response and Grid In

Geometry

19.Use the prism to find the following line segments.

a. Name 2 lines parallel to

b.

Name 2 lines perpendicular to

c. Name 2 lines skew to

20.Judging by appearance, name andgive the characteristics of an acute angle, an obtuse

angle, and a right angle.

21.Using the map below and given that each unit on the map represents 5 miles:

a. What is the actual distance from Oceanfront to Seaside?

b. What is the actual distance from Landview to Seaside?

c. What is the actual distance from Oceanfront to Landview?

d. Find the area of land within these three landmarks.

U

V

W

X

Y

OceanfrontLandview

Seaside

2 4 6 82468 x

2

4

6

8

2

4

6

8

y


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22.The figure is formed from rectangles. Find the total area and perimeterof the figure.

The diagram is not to scale.

23.Find the perimeter of with verticesA(5,2),B(2,2), and C(5, 2).

24.Use the figure below to find the following values.

a. Write an expression that gives the area of theshadedregion in the figure below.

b. Find the perimeter of the shaded area.

c. Find the area of the non-shaded area.

The diagram is not to scale.

8 ft2 ft

2 ft

10 ft

A B

C

5 10510 x

5

10

5

10

y

14 ft

15 ft

4 ft

6 ft


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25.Find, to the nearest tenth, the area of the region that is inside the square and outside the

circle if the diameter of the circle 14 inches.

26.CAPT Mathematics Grid-In Item: Entertainment Center

Geometry and Measurement

27.Find the length of the hypotenuse of right triangle below.

28.Find the measure of angle A, in triangle ABC, if the measure of angle B is 42 degrees and

angle C is 19 degrees.


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29. 42 degrees and _______ are supplementary angles because

________________________________________________________________________

30.

Find the circumference of a circle with a diameter of 5 feet.

31.Find the surface area andvolume of cylinder with a radius of 3 inches and height of 15

inches.

Surface Area Volume

32.The volume of a rectangular prism is 396 cubic feet. Find the height of the prism if the

length is 12 feet and the width 3 feet.

33.Find the height of a triangle with a base of 12 cm and an area 180 cm2.


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34.CAPT Mathematics Grid-In Item: Soup Cans

35.Draw a regular hexagon and mark the figure clearly.

a.

What are the sizes of each of the angle?

b. What is the total sum of the angles within the hexagon?

36.Draw an obtuse scalene triangle and describe the characteristics of the triangle.


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37.Solve for x Figure is not drawn to scale if:

Measure of Angle A = 2x

Measure of Angle B = 2x - 15

Measure of Angle C = x + 10

Measure of Angle D = x + 20

38.Describe the transformation of the image.

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________

2 424 x

2

4

2

4

y


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39.Find the degree of rotation about the spinner center that maps label ito labelg.

40.Draw in the lines of symmetry for these two figures?

.

41.The figure below is made up of a square with height, h units, and a right triangle with

height, h units, and base length, b units.

The area of this figure is 80 square units.

Write an equation that solves for the height, h, in terms of b.

Show all work necessary to justify your answer.

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________


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42.Hannah makes 6 cups of cake batter. She pours and levels all the batter into a rectangular

cake pan with a length of 11 inches, a width of 7 inches, and a depth of 2 inches. One

cubic inch is approximately equal to 0.069 cup.

What is the depth of the batter in the pan when it is completely poured in?

Round to the nearest 1/8 of an inch.

43.A town council plans to build a public parking lot. The outline below represents the

proposed shape of the parking lot

a. Write an expression for the area, in square feet, of this proposed parking lot and

explain your reasoning.

b. If x = 85 yards, find the perimeter of the parking lot.

.

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________


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44.The town council has plans to double the area of the parking lot in a few years. They

create two plans to do this. The first plan increases the length of the base of the parking

lot byp yards, as shown in the diagram below.

Write an expression in terms ofx to represent the value ofp, in feet. Explain the

reasoning you used to find the value ofp.

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________

45.The town councils second plan to double the area changes the shape of the parking lot to

a rectangle, as shown in the diagram below.

Write a new expression represent the value ofp, in feet. Explain the reasoning you used

to find the value ofp.

________________________________________________________________________

________________________________________________________________________


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SAT Practice Questions

46.Two sides of a triangle ABC have lengths 7cm and 9cm. Which of the following could

notbe the length of the ABC third side?

a. 3 b. 5 c. 7 d. 11. e. 16

47.All the dots in the array are 2 units apart vertically and horizontally. What is the length of

the longest line segment that can be drawn joining any two points in the array without

passing through any other point?

a. 2 b. 22 c. 3 d. 10. e. 20

48.In triangle ABC, AD = DB, DE is parallel to BC, and the area of triangle ABC is 40.

What is the area of triangle ADE?


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49.Radius of circle center O is 3 times the radius of circle center C.

Angle ACB = Angle POQ

If the shaded area of circle C is 2 then what is the area of the shaded part of circle O ?

50.The solid brick shown is made of small bricks of side 1. When the large brick is

disassembled into its component small bricks, the total surface area of all the small bricks

is how much greater than the surface area of the large brick?

Date post:	03-Jun-2018
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Entering Geometry Packet

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