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Geometry (Area of Parallelograms)
What is area?
What is a parallelogram?
I can ___________________
_______________________
©2017 Math in Demand
Square units such as ft2,
in2, cm2.
Area = base x height Area = b∙h
calculate the area of a
parallelogram.
A parallelogram is a type of quadrilateral
that is a four-sided figure with opposite sides that
are parallel.
Area is the measure of space inside a two-dimensional figure.
base
height
0 Units are measured in: Label the parallelogram:
Example: Calculating Area
5.5 ft
9 ft
A = bh
A = (5.5 ft)(9 ft)
A = 49.5 ft2
Area What is the area of the following parallelogram?
Geometry (Area of Triangles)
What is a triangle?
What are the 6 different types of triangles?
I can ___________________
_______________________
©2017 Math in Demand
Area = 𝑏ℎ2
OR Area = 12bh
calculate the area of a
triangle.
1.) Equilateral – all sides are equal
2.) Isosceles – Two sides are equal
3.) Scalene – All sides are different
4.) Acute – Each angle is < 90°
5.) Right – One angle is = 90°
6.) Obtuse – One angle is > 90°
A triangle has three sides and three angles.
All angles sum up to 180°.
Example: Calculating Area
A = 𝑏ℎ2
A = (8 𝑓𝑡)(7 𝑓𝑡)
2
A = 56 𝑓𝑡2
2 = 28 ft2
Area What is the area of the following triangle?
Label the triangle:
base
height
8 ft
7 ft
A trapezoid is a type of quadrilateral that has one pair of
parallel sides.
What is a trapezoid?
Determine the area of the following:
x = ________ ∠A = _________
∠A =
I can ___________________
_______________________
Geometry (Area of Trapezoids)
©2017 Math in Demand
calculate the area of a
trapezoid.
base2
height
A = 12(b1 + b2)h
OR
A = (𝑏1 + 𝑏2)
2 h
Area
legs.
Area of a Trapezoid: Label the Trapezoid:
base1
leg leg
17 in
28 in
20 in
A = (20 𝑖𝑛 + 28 𝑖𝑛)
2 17 in
A = (48 𝑖𝑛)
2 17 in
A = (24in)(17in) = 408 in2
A composite figure that can be broken down into more than one
geometric shape.
What is a composite
figure?
Determine the area of the following:
x = ________ ∠A = _________
∠A =
I can ___________________
_______________________
Geometry (Area of Composite Figures)
©2017 Math in Demand
calculate the area of a
composite figure.
Area
Area = 6in ⋅ 6in = 36in2
Area = 3𝑖𝑛 ⋅ 6𝑖𝑛
2= 18𝑖𝑛2
2 = 9in2
Area = 36in2 + 9in2 = 45in2
Step 1:
Step 2:
Steps to Calculating Area of a Composite Figure:
Break down the figure into geometric shapes.
Calculate the area of each geometric shape.
Step 2: Add together all of the calculated areas
from the geometric shapes.
Example:
6 in
6 in
9 in
36 in2 9 in2
Geometry (Identifying Parts of
Three-Dimensional Objects)
I can ___________________
_______________________
©2017 Math in Demand
Glue “Faces” Here Glue “Edges” Here Glue “Vertices” Here
The flat surface in a three-
dimensional object
# of faces: ____ # of edges: ____ # of vertices: ___
identify parts of three-
dimensional objects.
of a Three-Dimensional Object
Examples of Three-Dimensional Objects
# of faces: ____ # of edges: ____ # of vertices: ___
# of faces: ____ # of edges: ____ # of vertices: ___
# of faces: ____ # of edges: ____ # of vertices: ___
# of faces: ____ # of edges: ____ # of vertices: ___
# of faces: ____ # of edges: ____ # of vertices: ___
6 12
8
1 0
1
0 0
0
2 0
0
5 8
5
6 12
8
A line segment between two
vertices
The point where two or more edges meet
I can ___________________
_______________________
Determine the volume:
Round to the nearest tenths
x = ________ ∠A = _________
Geometry (Volume of Rectangular Prisms) calculate the volume of a
rectangular prism.
©2017 Math in Demand
V = length x width x height
V = l⋅w⋅h
Now, we can also calculate the volume of rectangular prism with fractional lengths:
Determine the volume:
x = ________ ∠A = _________
∠A =
12 cm 5 cm
7 cm
Volume of Rectangular
Prisms
Length
x = _____
___ ∠A =
_________
∠A =
Height
x = _____
___ ∠A =
_________
∠A =
Width
x = _____
___ ∠A =
_________
∠A =
V = l⋅w⋅h V = 12cm⋅5cm⋅7cm
V = 420cm3
Volume is given in… Cube units
x = ________ ∠A =
_________
∠A =
Examples:
cm3, in3, ft3
x = ________ ∠A =
_________
∠A =
3¼ in 1¾ in
2 in
V = l⋅w⋅h V = 3¼ in ⋅ 1¾ in ⋅ 2 in
V = 11.375 in3 V = 11.4 in3
Answer
11.4 in3
What is a net?
A net is a flat figure that is formed from unfolding a three-dimensional
object.
What is surface area?
Surface area is the sum of the faces on a three-dimensional object.
©2017 Math in Demand
I can ___________________
_______________________
calculate the surface area
using nets.
Geometry (Surface Area using Nets)
Surface area is measured in
_________ units
square
You have learned earlier how to calculate the area of two-dimensional figures. We can unfold three-dimensional figures to create _______. We can calculate the ______ of the figures in these _______ to determine the ___________ _______.
Example
Draw a cube with side dimensions of 4 cm:
Draw the net of the cube:
4 cm
4 cm
Calculate the surface area of the cube:
Area of a square:
A = s2 = (4 cm)2 = 16 cm2
There are a total of 6 squares. Hence, I would
need to multiply 16cm2 by 6.
Surface Area = 16 cm2 x 6
S.A. = 96 cm2
4 cm
4 cm
4 cm
nets
nets
area
surface area
Geometry (Polygons in the Coordinate Plane)
©2016 Math in Demand
I can ___________________
_______________________
1.) Plot the points A(-3,3), B(4,3), C(4,-2), and D(-3,-2)
What is a polygon?
What is the coordinate plane?
Draw Some Examples: The label coordinate plane:
Ordered Pair:
(x,y)
Left or
right
Up or
Down
Quadrant I
Quadrant II
Quadrant IV
Quadrant III
(+,+)
(-,+)
(+,-)
(-,-)
plot points in the coordinate
plane to create a polygon.
Connect the points from A to B, B to C, and C to D. What is the resulting figure?
_________________
What is the length of AB? _____
What is the length of BC? _____
What is the length of CD? _____
What is the length of DA? _____
Example:
Rectangle
A
B
C
D
7
7
5
5
A two-dimensional shape that is “closed” with 3 or more straight sides.
A two-dimensional number line with a horizontal line (x-axis)
and vertical line (y-axis).
y
x
