Transcript File

Geometry
I can classify geometric shapes based on their
properties.
I can construct triangles with given conditions.
I can describe the shapes formed when slicing a 3D
figure.
I can use supplementary, complementary, vertical,
and adjacent angles to solve for missing angles.
I can explain the relationship between the
circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Review
___ Acute Angle
___ Obtuse Angle
___ Right Angle
___ Equilateral Triangle
___ Isosceles Triangle
___ Scalene Triangle
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Recall that triangles can be classified according to
their side lengths and the measure of their angles.
Sides:
Scalene - no sides are congruent
Isosceles - two sides are congruent
Equilateral - all three sides are congruent
Angles:
Acute - all three angles are acute (<90 degrees)
Right - contains one right angle (90 degrees)
Obtuse - contains one obtuse angle (>90 degrees)
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Challenge
Determine if sides of length 5 cm, 8 cm and
12 cm can form a triangle?
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Challenge
Determine if sides of length 7 cm, 4 cm and
14 cm can form a triangle?
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
What are the differences between these two
challenges?
Determine if sides of length 5 cm, 8 cm and
12 cm can form a triangle? POSSIBLE
Determine if sides of length 7 cm, 4 cm and
14 cm can form a triangle? NOT POSSIBLE
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
There is another property that applies to triangles…
The sum of the lengths of any two sides of a triangle
is greater than the length of the third side.
What does this mean?
If you take the three sides of a triangle and add them
in pairs, the sum is greater than (not equal to) the
third side.
If that is not true, then it is not possible to construct
a triangle with the given side lengths.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
http://www.youtube.com/watch?v=OoLb_NnnKSQ
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Try These:
Determine if triangles can be formed with the following side
lengths:
1. 4 cm, 7 cm, 10 cm
4 + 7 > 10
4 + 10 > 7
7 + 10 > 4
YES
3. 7 ft, 9 ft, 16 ft
7 + 9 = 16
7 + 16 > 9
16 + 9 > 7
NO
2. 24 mm, 20 mm, 30 mm
24 + 20 > 30
24 + 30 > 20
20 + 30 > 24
YES
4. 9 in, 13 in, 24 in
9 + 13 < 24
9 + 24 > 13
13 + 24 > 9
NO
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
What do you notice about the following triangles?
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
There is another property that applies to
triangles…
The sum of the three interior angles is
always 180 degrees.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
A triangle could have which of the following
sets of angles?
A
B
C
D
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
A triangle could have which of the following
sets of angles?
A
B
C
D
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Find the missing angle for each of these triangles.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Challenge Questions
1. Find the missing angles B and C.
2. Is it possible to draw a triangle with
side lengths 5 cm, 8 cm, and 12 cm? If
so, what are the measurements of its
angles?
3. Is it possible to draw a triangle with
interior angles measuring 40, 80, and 60
degrees? If so, what are the lengths of
each side?
4. What is the measurement of angle A?
Geometry
I can classify geometric shapes based on their
properties.
I can construct triangles with given conditions.
I can describe the shapes formed when slicing a 3D
figure.
I can use supplementary, complementary, vertical,
and adjacent angles to solve for missing angles.
I can explain the relationship between the
circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Angle X = _____
Angle Y = _____
Angle Z = _____
Angle X = _____
Angle Y = _____
Angle Z = _____
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Triangle Constructions
Example 1. Construct a triangle ABC in which BC = 2
ft, CA = 2 ft and AB = 3 ft.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Triangle Constructions
Example 2. Construct a triangle PQR in which PQ = 1
ft, angle P = 60°, and angle Q = 50°.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Independent Practice
1. Construct a triangle ABC in which BC = 6 cm, CA = 5 cm and AB = 4 cm.
2. Construct a triangle PQR in which PQ = 2 cm, QR = 3 cm, PR = 4 cm.
3. Construct a triangle LMN in which LM = LN = 5 cm, MN = 2 cm.
Checkpoint
-------------------------------------------------------------------------------------------------------4. Construct a triangle STU in which ∠T = 60°, ∠U = 70° and TU = 4 cm.
5. Construct a right triangle ABC in which ∠C = 90° and ∠B = 45°, CB = 5 cm.
6. Construct a right triangle XYZ in which ∠Y = 90°, XY = 5 cm and YZ = 7 cm.
Checkpoint
-------------------------------------------------------------------------------------------------------7. What kind of triangle was created in construction #5? Explain how you
could know this by only knowing the measures of angle C and angle B.
8. What kind of triangle was created in construction #3? Explain how you
could know this by only knowing the lengths of LM and LN.
9. Rate Yourself:
1-------------2-------------3-------------4-------------5
Confused
Confident
Geometry
I can classify geometric shapes based on their
properties.
I can construct triangles with given conditions.
I can describe the shapes formed when slicing a 3D
figure.
I can use supplementary, complementary, vertical,
and adjacent angles to solve for missing angles.
I can explain the relationship between the
circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
1.) Construct triangle ABC with AB = 5cm, BC = 3cm,
and CA = 4cm.
2.) Construct triangle XYZ with angle X = 30°, Y =
60°, and Z = 90°.
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
3-Dimensional Figures Sort
A
B
G
F
C
D
H
I
E
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Review
Edges
Faces
Vertices
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Identifying 3-Dimensional Figures
A
B
G
F
C
D
H
I
E
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
What is a cross section?
Cross Sections of 3-Dimensional Figures
http://learnzillion.com/lessons/1134-describe-2dimensionalcross-sections-of-right-rectangular-prisms
http://learnzillion.com/lessons/1135-describe-2dimensionalcross-sections-of-right-rectangular-pyramids
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Slicing 3D Shapes Practice Wkst
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
A horizontal cross-section of a cone is a _____________.
Can you describe a vertical cross-section of a cone?
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
A vertical cross-section of a cone is a ____________.
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
A water tower is built in the shape of a cylinder.
How does the horizontal cross-section compare to the
vertical cross-section?
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
The horizontal cross-section is a __________.
The vertical cross-section is a __________.
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Which figure does not have a triangle as one
of its cross-sections?
A
C
B
D
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Which figure has the same horizontal and
vertical cross-sections?
A
C
B
D
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Which is the horizontal cross-section of the
figure shown?
A
B
Triangle
Circle
C
Square
D
Trapezoid
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Which is the vertical cross-section of the
figure shown?
A
B
Triangle
Circle
C
Square
D
Trapezoid
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Slicing 3D Figures
3D Geometry
Packets
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Exit Slip
1.) When sliced vertically, which
figure(s) have the same shape
formed as figure B?
2.) When sliced horizontally, which
figure(s) result in a face with less
than four vertices?
3.) Describe the shape(s) formed
when figure H is sliced in all
possible directions. Explain how
you know.
4.) Rate Yourself:
A
B
D
C
E
F
G
H
1-------------2-------------3-------------4-------------5
Confused
Confident
I
Geometry
I can classify geometric shapes based on their
properties.
I can construct triangles with given conditions.
I can describe the shapes formed when slicing a 3D
figure.
I can use supplementary, complementary, vertical,
and adjacent angles to solve for missing angles.
I can explain the relationship between the
circumference and area of a circle.
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
Daily Question
What is the measure of angle x?
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
Angle Relationships
HOLT 8-3 (Pg. 452)
Examples 1&2
Independent Practice
Problems 1-6
Finished early? Try 7-9.
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
Angle Relationships
HOLT 8-3 (Pg. 452)
Examples 1&2
Independent Practice
Problems 10-16
Finished early? Try 17-18.
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
Angle Relationships
2D Geometry
Packets
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
Daily Questions
Adjacent Angle Pairs: ______________________
Vertical Angle Pairs: _______________________
Complementary Angle Pairs: ________________
Supplementary Angle Pairs: _________________
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
a
b
c
d
e
f
g
1
2
3
4
5
_____
_____
_____
_____
_____
_____
_____
_43°_
_____
_____
_90°_
_____
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
1 ____
2 ____
3 ____
4 ____
5 ____
6 ____
7 ____
8 ____
9 ____
10 ___
11 ___
12 ___
13 ___
14 ___
15 ___
Geometry Part One Review
I can classify geometric shapes based on their
properties.
I can construct triangles with given conditions.
I can describe the shapes formed when slicing a 3D
figure.
I can use supplementary, complementary, vertical,
and adjacent angles to solve for missing angles.
I can explain the relationship between the
circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
A
B
D
E
H
I
J
L
M
K
C
F
G
N
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Identifying 3-Dimensional Figures
A
B
G
F
C
D
H
I
E
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Review
Edges
Faces
Vertices
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Cross Section Review
http://learnzillion.com/lessons/1135-describe2dimensional-cross-sections-of-rightrectangular-pyramids
I can classify geometric shapes based on their properties.
I can describe the shapes formed when slicing a 3D figure.
Cross Section Review
Which have same
vertical cross section?
Which have same
horizontal
cross section?
I can classify geometric shapes based on their properties.
I can construct triangles with given conditions.
Classify the triangle created…
Triangle ABC: AB 3cm, Angle B 90*, Angle A 30*
Triangle DEF: DE 4cm, Angle E 45*, EF 4cm
Triangle XYZ: XY 3cm, YZ 2cm, XZ 4cm
I can use supplementary, complementary, vertical, & adjacent angles to solve for missing angles.
a
b
c
d
e
f
g
1
2
3
4
5
_____
_____
_____
_____
_____
_____
_____
_43°_
_____
_____
_90°_
_____
Geometry
I can classify geometric shapes based on their
properties.
I can explain the relationship between the
circumference and area of a circle.
I can find area, volume, and surface area of 2D
and 3D figures.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Daily Questions
1.) A rectangular game card has a length of 10 centimeters
and a width of 5 centimeters. What is its perimeter?
2.) What is the perimeter?
3.) A circular garden has a rose bush at its center. From the
bush to the outer edge of the garden is 12 yards. What is
the circumference (perimeter) of the garden?
4.) What is the perimeter?
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Daily Questions
1.) A rectangular game card has a length of 10 centimeters
and a width of 5 centimeters. What is its perimeter?
2.) What is the perimeter?
3.) A circular garden has a rose bush at its center. From the
bush to the outer edge of the garden is 12 yards. What is
the circumference (perimeter) of the garden?
4.) What is the perimeter?
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Perimeter and Circumference Review
HOLT 9-2 (Pg. 524)
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Daily Questions
1.) A circular room with a fountain in the center has a
circumference of 160 feet. What is the distance from the
outer edge of the room to the fountain?
2.) The perimeter of the rectangle is 180 cm. What is the
length of side x?
x
62 cm
3.) Find the area of a clock that has a circumference of 314
cm.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Area of Circles Introduction
HOLT 9-5 (Pg. 538)
#6, 12-23, 25
Geometry
I can classify geometric shapes based on their
properties.
I can explain the relationship between the
circumference and area of a circle.
I can find area, volume, and surface area of 2D
and 3D figures.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Daily Questions
1.) Find the area of the shaded region.
30 cm
6 cm
2.) Find the difference in the two circles’ circumferences.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
r=3
r=3
r=6
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Jeremy is walking along the outside of a circular
circus tent. As he walks, Jeremy is 50 feet from the
center of the tent. If Jeremy’s stride is about 3 feet,
about how many steps will it take him to walk
around the entire tent?
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Jeremy is walking along the outside of a circular
circus tent. As he walks, Jeremy is 50 feet from the
center of the tent. If Jeremy’s stride is about 3 feet,
about how many steps will it take him to walk
around the entire tent?
According to code, each
person is required to have
at least 5 square feet of space.
How many people could fit
inside the tent?
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Area and Circumference of a Circle Worksheet
Geometry
I can classify geometric shapes based on their
properties.
I can explain the relationship between the
circumference and area of a circle.
I can find area, volume, and surface area of 2D
and 3D figures.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Daily Questions
1.) A circular room is getting new carpet. The distance from
the center of the room to the outer edge is 12 ft.
Part A) How many square feet of carpet is needed?
Part B) If you plan to replace the floorboards around
the outer edge of the room, how many feet of
floorboards would you need?
2.) The circumference of a circle is 56.52 cm. What is the
radius of this circle?
3.) Find the area of the shaded region.
3m 1m
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
EXIT SLIP
Explain the relationship
between the circumference
and area of a circle.
Geometry
I can classify geometric shapes based on their
properties.
I can explain the relationship between the
circumference and area of a circle.
I can find area, volume, and surface area of 2D
and 3D figures.
I can classify geometric shapes based on their properties.
I can find area, volume, and surface area for 2D and 3D figures.
Daily Questions
1.) A rectangular game card has a length of 10 centimeters
and a width of 5 centimeters. What is its area?
2.) A triangular-shaped yard has a base of 25 meters and a
height of 12 meters. What is its area?
3.) A circular garden has a rose bush at its center. From the
bush to the outer edge of the garden is 12 yards. What is
the area of the garden?
4.) What is the area of the parallelogram below?
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Daily Questions
1.) A rectangular game card has a length of 10 centimeters
and a width of 5 centimeters. What is its area?
2.) A triangular-shaped yard has a base of 25 meters and a
height of 12 meters. What is its area?
3.) A circular garden has a rose bush at its center. From the
bush to the outer edge of the garden is 12 yards. What is
the area of the garden?
4.) What is the area of the parallelogram below?
I can classify geometric shapes based on their properties.
I can find the area, volume, and surface area of 2D and 3D figures.
Area of Parallelograms Review
HOLT 9-3 (Pg. 530)
I can classify geometric shapes based on their properties.
I can find the area, volume, and surface area of 2D and 3D figures.
Area of Triangles and Trapezoids
HOLT 9-4 (Pg. 534), 9-6
I can classify geometric shapes based on their properties.
I can find the area, volume, and surface area of 2D and 3D figures.
Area of Triangles and Trapezoids
HOLT 9-6 (Pg. 542)
Geometry
I can classify geometric shapes based on their
properties.
I can explain the relationship between the
circumference and area of a circle.
I can find area, volume, and surface area of 2D
and 3D figures.
I can classify geometric shapes based on their properties.
I can find the area, volume, and surface area of 2D and 3D figures.
Daily Questions
1.) Sketch and label a trapezoid that has an area of 100
cm2.
2.) How could you change one number to make the
area equal 200 cm2?
3.) Sketch and label a triangle that has an area of 75 m2.
4.) How could you change one number to make the
area equal 150 m2?
I can classify geometric shapes based on their properties.
I can explain the relationship between the circumference and area of a circle.
Area of Triangles and Quadrilaterals Worksheet