Grade 4 Core Standard III Assessment
Geometery and Measurement
Name:
Date:
4.3.1 Recognize area as an attribute of two-dimensional regions.
1. Which of these figures has area?
A.
B.
C.
D.
2. Which of the following measurements can you determine for this figure?
A. area and perimeter
B. perimeter and volume
C. volume and area
D. area and weight
4.3.2 Determine area by finding the total number of same-sized units of area that cover a shape without gaps or overlaps.
3. Find the area for each rectangle and answer the questions below.
1. Area of rectangle A:
_______________________________
A
2. Area of rectangle B:
_______________________________
B
3. Area of rectangle C:
_______________________________
C
4. Rectangles __________ and
__________ have the same area.
Name ________________________________ Date: _________________
4. Which shape would be the most accurate tool for covering this figure without any gaps
or overlaps?
A.
B.
C.
D.
4.3.3 Recognize a square that is one unit on a side as the standard unit for measuring area.
5. Use the square unit to find the area of the entire polygon.
1 unit
1 unit
2 units
4 units
6. Use the square unit to find the area of the entire polygon.
1 unit
1 unit
3 units
3 units
4.3.4 Determine the appropriate units, strategies, and tools to solving problems that involve estimating or measuring area.
6 feet
7. Estimate the area of the right triangle: ________________________________________.
3 feet
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
Name ________________________________ Date: _________________
10 centimeters
8. Estimate the area of the rhombus: _________________________________________.
10 centimeters
9.
The area of Cecelia’s backyard is 43 square __________ . What would be the
appropriate unit of measure for Cecelia’s yard?
A.
B.
C.
D.
centimeters
kilometers
meters
millimeters
4.3.5 Connect area measure to the area model used to represent multiplication and use this to justify the formula for area of a rectangle.
10. If the area of a rectangle is 24 square units, which expression could represent the
area of the rectangle? (use the space below to draw the rectangle)
A. 5 x 6
B. 8 x 3
C. 5 x 5
D. 9 x 3
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
Name ________________________________ Date: _________________
11. The area of a rectangle is 20 square centimeters. Which side length could NOT be
one of the dimensions?
A. 2 cm
B. 3 cm
C. 4 cm
D. 5 cm
4.3.6 Find the areas of complex shapes that can be subdivided into rectangles.
12. Find the area of the shape below.
1
7
9
7
2
8
13. Find the area of the shape below.
2
2
3
5
3
5
3
7
4.3.7 Solve problems involving perimeters and areas of rectangles and squares.
14. Which rectangle below has an area and perimeter that are the same?
A.
B.
12
6
4
C.
4
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
5
3
Name ________________________________ Date: _________________
15. A square has an area of 81 square inches and a perimeter of 36 inches. What is the
length of one of the sides of the square? (use the space below to draw the square)
A. 18 inches
B. 9 inches
C. 27 inches
4.3.8 Recognize that rectangles with the same area can have different perimeters and that rectangles with the same perimeter can have
different areas.
16. Find the perimeter for each rectangle and circle the shape with the greatest
perimeter?
Rectangle
Area
10 square units
10 square units
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
Perimeter
Name ________________________________ Date: _________________
17. Create all of the possible rectangles (using 16 square tiles) and label the perimeter
for each rectangle.
Area = 16 square centimeters
Perimeter = ____________________________
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
Name ________________________________ Date: _________________
18.
Create all of the possible rectangles that have a perimeter of 16 meters.
7
1
Perimeter = 16 meters
1
7
Which rectangle from above had the smallest area?
Which rectangle from above had the greatest area?
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
Name ________________________________ Date: _________________
4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional
figures.
19.
Fill in the chart with sketches of the following:
Line segment
parallel lines
perpendicular
lines
obtuse angle
acute angle
right angle
20.
Draw two different types of quadrilaterals that have two pairs of parallel sides?
21.
How many acute, obtuse and right angles are in this shape?
acute:
___________
obtuse:
___________
right:
___________
4.G.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a
specified size. Recognize right triangles as a category, and identify right triangles.
22.
Sue cut a shape out of paper. The shape had 8 sides and 8 angles. Which shape
could Sue have made?
a. scalene triangle
Yes
No
b. rhombus
Yes
No
c. pentagon
Yes
No
d. octagon
Yes
No
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
Name ________________________________ Date: _________________
23.
24.
Name a shape that has 2 acute angles, 2 obtuse angles, and 4 equal sides.
a. equilateral triangle
Yes
No
b. rhombus
Yes
No
c. rectangle
Yes
No
d. hexagon
Yes
No
For each of the following, sketch an example if it is possible. If it is impossible, say
so, and explain why.
Shape
Sketch
A parallelogram with
exactly one right angle.
A rectangle that is not a
parallelogram.
Every trapezoid is a
parallelogram
NCSD Math Renewal: Grade 4 Core Standard 3:Geometry & Measurement Assessment - revised 6/10/13
Possible
Impossible