Download 8geometrya - Logan Elm Schools

Grade 8
Geometry and Spatial Sense Answers
Open Response Question 8
The pattern shown below is for a square prism. The lengths of the line segments in the
pattern were chosen so that the pattern could be folded along the dotted lines into the
prism shown.
a. Make a sketch of a pattern for a triangular prism. Label each line segment with a
length that will make it possible to fold the pattern into the triangular prism.
b. Make a sketch of a pattern for a cylinder. Label each line segment and diameter
in your pattern with a length that will make it possible to create the cylinder from
the pattern.
Scoring Guide
Score
Description
4
Student shows comprehensive sense of spatial relationships by making accurate
sketches of patterns for two three-dimensional geometric figures and labeling the
lengths of edges appropriately.
3
Student shows good sense of spatial relationships by making accurate sketches of
patterns for two three-dimensional geometric figures and labeling the lengths of
edges. One or two significant measures may be omitted.
2
Student shows partial sense of spatial relationships by inconsistently making
sketches of patterns for two three-dimensional geometric figures or
inconsistently labeling the lengths of edges.
1
Student shows limited sense of spatial relationships by making major errors in
sketches and labeling.
0
Response is incorrect or contains some correct work that is irrelevant to the skill
or concept being measured.
Blank No response.
1
2
3
4
5
6
7
Question 29
Molly formed three polygons–a triangle, a rectangle, and a pentagon–with string. She
calculated the sum of the measures of the interior angles for each polygon and entered
her data in the chart shown below.
Type of Polygons Number of Sides Sum of the Measures
of the Interior Angles
Triangle
3
180°
Rectangle
4
360°
Pentagon
5
540°
Hexagon
6
?
Octagon
8
?
Unnamed Polygon
?
2340°
n-sided Polygon
n
?
a. What is the sum of the measures of the interior angles of a hexagon?
b. What is the sum of the measures of the interior angles of an octagon?
c. How many sides does an unnamed polygon have if the sum of the measures of the
interior angles is 2340°?
d. Explain how you would find the sum of the measures of the interior angles of an
n-sided polygon.
Scoring Guide
Score
Description
4
The response shows a comprehensive understanding of the relationship between
the number of sides and the sums of angle measures of polygons.
3
The response shows a general understanding of the relationship between the
number of sides and the sums of angle measures of polygons.
2
The response shows a basic understanding of the relationship between the
number of sides and the sums of angle measures of polygons.
1
The response shows a minimal understanding of the relationship between the
number of sides and the sums of angle measures of polygons.
0
The response is incorrect or contains some correct work that is irrelevant to the
skill or concept being measured.
Blank No Response.
8
2002 MCAS
Grade 8 Mathematics
Question # 29 - Score Point 4
9
10
Answer: H
11
Answer: Figure A is reflected about the y axis.
12
Answer: The shaded area is the office and the blackened area is where his desk could go.
= 2 feet by 2 square
D
E
S
K
13
ANSWER: D
ANSWER: B
ANSWER: C
14
ANSWER: D
ANSWER: D
ANSWER: D
15