Download 5th Grade Unit 3 Study Guide

5th Grade Unit 3 Study Guide
Name _____________________________
Write/draw your answers on a separate sheet of paper.
Measure the angle below with a protractor and classify the angle as acute, obtuse, or right.
1.
R
T
S
m  RST  _____°
2.

3. Explain what a straight angle is.
4. Draw a reflex angle.
5. Write the 11-digit number that has a
1 in the ones place,
6 in the tens place,
a digit in the ten-thousands place that is twice the digit in the ones place,
the smallest even digit in the billions place,
3 in the tenths place, and
0 in all the other places.
_____, _____ _____ _____, _____ _____ _____, _____ _____ _____. _____
6. Use your Geometry template or tell me with symbols (hash marks) to do the following:
Draw an equilateral triangle, a scalene, and an isosceles triangle.
7. List at least one way in which a scalene triangle and equilateral triangle are the same.
8. List at least one way in which an isosceles triangle and a scalene triangle are different.
9. For the polygon below, which is a true statement? Write a definition for each word in bold print.
[A] This polygon is a quadrangle. _______________________________________________
[B] At least two sides are parallel.__________________________________________________
[C] This is a regular polygon. _____________________________________________________
10. For the polygon below, which is a true statement?
[A] This polygon is a quadrangle.
[B] No two sides are parallel.
[C] At least one angle is acute.
[D] This is a regular polygon.
11. Find the missing angle measure without measuring. Show your work.
mDBC  _____°
E
D
75
53
A
B
C
12. Find the missing angle measure without measuring. Show your work.
91°
36°
g
13. Find the missing angle measures without measuring. Each angle at point G has a measure of
_____.
G
14. Name two adjacent angles below. _______________________________________
E
D
A
B
C
15. a. Use a straightedge to draw a pair of adjacent angles. Make one of the angles obtuse. Use
letters to name the angles.
b. Tell which angle is obtuse.
c. Without using your protractor, estimate the measure of each angle to the nearest 10°.
16. Use the table below to answer the questions.
Regional Populations 1850 - 2000
Region
1850
1900
1950
2000
Northeast region
8,101,639
23,306,114
66,715,818
86,815,719
South region
8,731,454
15,066,127
85,175,142
91,595,420
Midwest region
3,927,339
53,416,442
66,894,563
93,666,207
West region
503,804
2,336,242
6,441,500
9,624,470
a. Which region had the smallest population in 1900?
b. Which region had the smallest population 50 years later?
c. Which region had the greatest increase in population from 1850 to 2000?
What was the increase?
17. a. Use the pattern-block shapes on your Geometry Template to make a pattern that tessellates.
b. Explain why your pattern is a tessellation.
[1] 90°, right angle
[2] 66°; acute angle
[3] A straight angle is an angle formed by two rays pointing in opposite directions (180° angle).
[4] Answers may vary. Example:
[5] 2,000,020,061.3
[6] Answers vary. Sample answer:
[7] Answers may vary. Sample answer: The sum of the angles is 180° for both triangles.
[8] Answers may vary. Sample answer: In an isosceles triangle, only two sides have the same
length. In a scalene triangle, no sides have the same length.
[9] [B]
[10] [D]
[11] 52
[12] 53°
[13] 90
[14] Sample answer: ABE and EBD
[15] a. Answers vary. Sample answer:
D
A
B
C
b. Answers vary. Sample answer:  ABD
c. Answers vary. Sample answer:
m ABD is about 100°.
m DBC is about 30°.
[16] a. West region
b. West region
c. Midwest region
89,738,868
[17] a. Answers may vary. Sample answer:
b. Answers may vary. Sample answer: The shapes create a pattern in which there are no gaps or
overlaps.