Study Guide, End-Module 5 Assessment

Study Guide
Name
1.
TaLesson
5•5
End-of-Module Assessment Task
•3
Date
The grid below is made of 1 x 1 inch squares. Draw a rectangle that measures 3
1
by 1 inches, and find its area.
2
3
4
TaLesson
5•5
End-of-Module Assessment Task
•3
Study Guide
2. Ms. Pennywinkle is the high school grounds keeper. She needs to re-sod the
1
3
5
4
soccer field and measures it to be 53 yards wide by 65
yards long.
a. She wants to know how many square yards of sod she will need to completely
cover the soccer field.
Draw the soccer field, and label the measurements.
b. How much sod will Ms. Pennywinkle need to cover the soccer field?
c. If each square yard of sod costs 65 cents, how much will she have to pay to
cover the soccer field?
TaLesson
5•5
End-of-Module Assessment Task
•3
Study Guide
3. A rectangular pool that has a length of 10 m, a width of 5 m, and a depth of 2.5 m
is filled with water to a depth of 2 m. When an additional 30,000 liters of water is
poured into the container, some water overflows. How many liters of water
overflow the container? Use words, pictures, and numbers to explain your answer.
(1 cm3 = 1 mL, 1 m = 100 cm, 1000 ml = 1 L)
1
2
3
5
4. When finding the area of a 4 foot by 5 foot rectangle, why can’t you just
multiply 4 feet × 5 feet for one section and
total area of 20
2
15
1
3
foot ×
2
5
foot for another, giving a
in2? Use an area model to explain your thinking and give the
correct area of the rectangle.
The area model shows that this method only considers two
sections of the area. The total area is as follows:
Study Guide
TaLesson
5•5
End-of-Module Assessment Task
•3
5. The Empire State Building has a volume of about 108,750,000 cubic feet. If the
area of its base is 87,000, how tall is it (in feet)?
6. Read the statements. Circle True or False. Explain your choice for each using
words and/or pictures.
a. All quadrilaterals are trapezoids.
True
False
True
False
True
False
All trapezoid are quadrilaterals. However, some
quadrilaterals have no parallel sides. A trapezoid has at least
one pair of parallel sides.
b. All rectangles are rhombuses.
Some rectangles have a length different from its width. The
only rectangle that is a rhombus is a square.
c. Squares are parallelograms, but not rectangles.
All squares have 4 right angles, and are therefore rectangles.
TaLesson
5•5
End-of-Module Assessment Task
•3
Study Guide
d. The opposite angles in a rhombus have the same measure.
True
False
A rhombus is a parallelogram, so its opposite sides are
parallel and its opposite angles are congruent.
e. Because the angles in a rectangle are 90 , it is not a kite.
A square is a rectangle because it has 4 right angles. It is
True
False
also a kite because it's adjacent sides are congruent.
Therefore, a rectangle could be a kite.
f. The sum of the angle measures of any trapezoid is equal to the sum of the angle
measures of any parallelogram.
True
False
Trapezoids and parallelograms are both quadrilaterals. The sum of the angles of all
quadrilaterals is 360 degrees.
Study Guide
Name
3.
TaLesson
5•5
End-of-Module Assessment Task
•3
Date
The grid below is made of 1 x 1 inch squares. Draw a rectangle that measures 3
1
by 1 inches, and find its area.
2
3
4
TaLesson
5•5
End-of-Module Assessment Task
•3
Study Guide
4. Ms. Pennywinkle is the high school grounds keeper. She needs to re-sod the
1
3
5
4
soccer field and measures it to be 53 yards wide by 65
yards long.
d. She wants to know how many square yards of sod she will need to completely
cover the soccer field.
Draw the soccer field, and label the measurements.
e. How much sod will Ms. Pennywinkle need to cover the soccer field?
f. If each square yard of sod costs 65 cents, how much will she have to pay to
cover the soccer field?
TaLesson
5•5
End-of-Module Assessment Task
•3
Study Guide
4. A rectangular pool that has a length of 10 m, a width of 5 m, and a depth of 2.5 m
is filled with water to a depth of 2 m. When an additional 30,000 liters of water is
poured into the container, some water overflows. How many liters of water
overflow the container? Use words, pictures, and numbers to explain your answer.
(1 cm3 = 1 mL, 1 m = 100 cm, 1000 ml = 1 L)
1
2
3
5
5. When finding the area of a 4 foot by 5 foot rectangle, why can’t you just
multiply 4 feet × 5 feet for one section and
total area of 20
2
15
1
3
foot ×
2
5
foot for another, giving a
in2? Use an area model to explain your thinking and give the
correct area of the rectangle.
Study Guide
TaLesson
5•5
End-of-Module Assessment Task
•3
6. The Empire State Building has a volume of about 108,750,000 cubic feet. If the
area of its base is 87,000, how tall is it (in feet)?
7. Read the statements. Circle True or False. Explain your choice for each using
words and/or pictures.
g. All quadrilaterals are trapezoids.
True
False
h. All rectangles are rhombuses.
True
False
i. Squares are parallelograms, but not rectangles.
True
False
Study Guide
j.
TaLesson
5•5
End-of-Module Assessment Task
•3
The opposite angles in a rhombus have the same measure.
True
False
k. Because the angles in a rectangle are 90 , it is not a kite.
True
False
l. The sum of the angle measures of any trapezoid is equal to the sum of the angle
measures of any parallelogram.
True
False