Download Summer Math Packet ‒ Entering Honors Geometry

Summer Math Packet ‒
Entering Honors Geometry
Name: ______________________________________ Due Date: Monday August 24, 2015 (First Day of School) Deadline: Friday August 28, 2015 Students who complete the summer math packet will be able to:  Perform foundational math skills with greater ease  Preview and practice state learning objectives To Students:  Show all work on a separate sheet of paper  Try problems without a calculator To Parent(s)/Guardian(s):  Please encourage your child to work on the packet throughout the summer season! Extra Practice Websites: 
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www.khanacademy.org www.coolmath.com www.funbrain.com www.AAAmath.com Questions? Contact Lisette Kernizan Math Content Specialist: [email protected] Slope and Distance
Find the slope and the distance between the pairs of points.
1) (2, 4) and (3, 5)
2) (2, 8) and (1, 0)
3) (-7, -2) and (0, 0)
5) (-3, -1) and (-2, 5)
7) (-5, -6) and (-11, -2)
6) (-3, 2) and (4, -1)
Pythagorean Theorem
Use the Pythagorean Theorem to solve for the missing side length.
1)
2)
5
13
6
12
3)
4)
8
Entering Honors Geometry
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Area, Surface Area, and Volume
Find the area of the shaded regions.
1)
2)
9 ft
20
r = 6m
4 ft
15 ft
4)
4 cm
8m
m
2
6m
8m
10 m
2m
4 cm
3)
12 m
Find the exact surface area and volume of the 3-D figures below.
1)
2)
12 ft
12 m
4m
6 ft
8m
3)
4)
5 ft
18 ft
9 ft
3 ft
9 ft
8 ft
8 ft
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Angle Relationships
1
6
14
13
2
5
3
4
10
11
7
9
12
8
If the measure of Angle 10 is 54˚ and Angle 11 is 46˚, what is the measure of angle:
1) Angle 1 =
7) Angle 7 =
2) Angle 2 =
8) Angle 8 =
3) Angle 3 =
9) Angle 9 =
4) Angle 4 =
10) Angle 10 =
5) Angle 5 =
11) Angle 11 =
6) Angle 6 =
12) Angle 12 =
What is the relationship between angles:
1) 4 and 10
2) 1 and 8
3) 7 and 9
4) 3 and 11
5) 1 and 9
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Constructions (Compass & Straightedge)
Copy the line segments below. Leave all arcs for proof of construction.
1)
2)
Copy the angles below.
1)
2)
Bisect the line segments below.
1)
2)
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Bisect the angles below.
1)
2)
Construct a perpendicular through a point off the line.
1)
2)
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Performance Tasks –
From PARCConline Sample Tasks
1) A right circular cone is shown in the figure. Point A is the vertex of the cone and point B
lies on the circumference of the base of the cone.
The cone has a height of 24 units and a diameter of 20 units. What is the distance from
Point A to Point B?
2) Sam uses one-inch frames for pictures for which the length is 2 inches (in.) longer than the
width, as shown.
The area of the frame for a picture that is x inches wide is given by the expression:
(𝑥 + 4)(𝑥 + 2) − (𝑥 + 2) 𝑥
There are four descriptions shown. Write the correct expression from the choices below
next to the corresponding description.
a.
b.
c.
d.
𝑥
(𝑥 + 2)
(𝑥 + 4)
(𝑥 + 2)𝑥
(𝑥 + 2)(𝑥 + 4)
The length of the picture alone, in inches.
The length of the frame, in inches.
The area of the picture alone, in square inches.
The area of the picture and frame together, in square inches.
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