Course: 7th Grade Math
DETAIL LESSON PLAN
Thursday, February 16 / Tuesday, February 21
Student Objective
(Obj. 3a)
TSW… classify and compare 2D and 3D shapes using their properties.
Lesson
8-8 Three-Dimensional Figures
Textbook Pages: 410-413
Extra Resources
Geometric solids.
Thinking Maps:
 Circle Map – Polygons
 Tree Map – 2D Shapes
 Brace Map – Parts of a 3D Figure
 Tree Map – 3D Figures
Homework
3D Worksheet (10 problems)
Last Night’s Homework
None
Bellwork
Geometry Review Handout.
Prior Knowledge
 Review answer to bellwork.
 Last week, we learned how to find the perimeter and area of 2D figures such as triangles, quadrilaterals, and circles using
formulas.
Anticipatory Set
 Today, we will learn how to identify 3-Demensional figures.
 What are 3D figures and why do we need to learn about them?
 Show PowerPoint
 3D Objects in Ordinary Places
Teacher Input
 Pass out student notes.
 Identify and classify 2D figures. Give students “tricks” to remember each shape.
Give students 60 seconds to complete you-try matching (independently).
 Explain the parts of a 3D figure (face, edge, and vertex). Illustrate using the geometric cube and cylinder.
 Show examples of each type of 3D shape. Hold up each geometric solid to go along with the slide.
Indentify the 3D shape you-try (independently).
 Pass out highlighters.
Demonstrate how to find the number of faces, edges, and vertices on you-try problem #1.
Have students work the remainder of the sheet. (independently).
 Classwork:
Extra Practice:
You-Try problems. (Independently)
Students may begin their homework.
Assessment
Observation and questioning.
Closure – Beach Ball Math
1) How sides does each have; what is our trick for remembering?
Triangle: 3, Quadrilateral: 4, Pentagon: 5, Hexagon: 6, Heptagon: 7, Octagon: 8, Nonagon: 9, Decagon: 10
2) What are the flat surfaces of a 3D shape called? Faces
3) Where the faces meet on a 3D figure? Edges
4) The pointy corners (or where the edges meet)? Vertex
5) Hold up shapes and have students identify.
Geometry Review
Bellwork
Pythagorean Theorem
Answer: _______
1) Find the missing hypotnuse on this Right Triangle.
2.5m
Z
Step 1:
Step 2:
6m
Step 3:
Answer: _______
2) Find the missing leg of the following Right triangle.
30 ft
Step 1:
Step 2:
a
24 ft
Step 3:
Answer: _______
3) Will the measurements of 8, 9, 10 form a right triangle?
Circumference
Answer: _______
4) Find the circumference of the following figure.
5m
Area
21 in
5) Find the area of this shape. Answer:
Answer: _______
6 in
9 in
6) A triangular room has a base of 20 ft and a height of 13 ft. What is the area?
A. 260
B. 17
C. 130
D. 33
Answer Key
Geometry Review
Bellwork
Pythagorean Theorem
Answer: 6.5 m
1) Find the missing hypotnuse on this Right Triangle.
2.5m
Z
Step 1:
Step 2:
6m
Step 3:
Answer: 18 ft
2) Find the missing leg of the following Right triangle.
30 ft
Step 1:
Step 2:
a
24 ft
Step 3:
Answer: No
3) Will the measurements of 8, 9, 10 form a right triangle?
Circumference
Answer: 31.4 cm
4) Find the circumference of the following figure.
5m
Area
21 in
5) Find the area of this shape. Answer:
Answer: 90
6 in
9 in
6) A triangular room has a base of 20 ft and a height of 13 ft. What is the area?
A. 260
B. 17
C. 130
D. 33
Student Notes
Lesson 8-8 3-D Figures
What are Polygons?
Textbook Pages 410 – 413
Define
Closed 2-D figures formed by
3 or more line segments.
The sides meet only at their endpoints.
NOT Polygons
Examples
Polygons
Regular Polygons:
All sides are equal
Irregular Polygons:
All sides are not equal
Classifying polygons by the # of sides.
Polygons
Triangle
3 sides
Quadrilateral
4 sides
Pentagon
5 sides
Hexagon
6 sides
Heptagon
7 sides
Octagon
8 sides
Nonagon
9 sides
Decagon
10 sides
2-D Shapes
You Try!
Matching
____ Quadrilateral
____ Octagon
____ Decagon
____ Hexagon
____ Triangle
____ Heptagon
____ Pentagon
____ Nonagon
A.
B.
C.
D.
E.
F.
G.
H.
3 sides
4 sides
5 sides
6 sides
7 sides
8 sides
9 sides
10 sides
Student Notes
Lesson 8-8 3-D Figures
Textbook Pages 410 – 413
A solid figure that does not lie on a flat plane.
Parts of a 3-D figure
3-D Figure
Face –The flat surfaces.
Edge – Where the faces meet.
Vertex – Where the edges meet.
Base - The top and bottom faces.
face
vertex
no faces
edge
Examples
Prism
Pyramid
Cylinder
Triangular
Prism
Pentagonal
Prism
Named by the shape of
their two bases.
Also, named by the shape of
its one base.
Notice… the two bases have the
same shape!
The other faces are triangles.
Two bases that are circles.
The other faces are rectangles.
Cone
One vertex and a circular base.
Sphere
All points are the
same distance from
a center point.
Cube
All faces are squares.
3-D Shapes
You Try!
Directions: Determine the shape of each solid’s base.
Use the word bank to identify each of the solid figures.
Then, examine the figure to determine the number of faces, vertices, and edges.
Sphere
Trapezoidal Prism
Hexagonal Pyramid Cylinder
Square Pyramid
1)
Triangular Pyramid
Triangular Prism
2)
Cube
Cone
3)
Shape of Base: __ _________________
Shape of Base: __ __________________
Shape of Base: ________________
Name: _________ __________________
Name: _________ __________________
Name: ________________________
Faces:
Faces:
Faces:
Vertices:
Edges: ___
4)
Vertices:
Edges: ___
_ Vertices:
Edges: ___
5)
6)
Shape of Base: __ _________________
Shape of Base: __ __________________
Shape of Base: ________________
Name: _________ __________________
Name: _________ __________________
Name: ________________________
Faces:
Faces:
Faces:
Vertices:
Edges: ___
7)
Vertices:
Edges: ___
8)
_ Vertices:
Edges: ___
9)
Shape of Base: __ _________________
Shape of Base: __ __________________
Shape of Base: ________________
Name: _________ __________________
Name: _________ __________________
Name: ________________________
Faces:
Faces:
Faces:
Vertices:
Edges: ___
Vertices:
Edges: ___
_ Vertices:
Edges: ___
You Try!
Answer Key
3-D Shapes
Directions: Use the word bank to identify each of the solid figures.
Then, examine the figure to determine the number of faces, vertices, and edges.
Sphere
Hexagonal Pyramid
Square Pyramid
Trapezoidal Prism
Cylinder
Triangular Pyramid
Triangular Prism
Cube
Cone
1)
2)
3)
Shape of Base:__Triangle_______
Shape of Base:_Circle___ ____
Shape of Base:_ Hexagon ____
Name: _Triangular Prism_____
Name:__Cylinder___________
Name: Hexagonal Pyramid__ _
Faces: 5 Vertices: 6 Edges: 9__
Faces: 2 Vertices: 0 Edges: 0_
Faces: 7 Vertices: 7 Edges: 12_
4)
5)
Shape of Base:__ Circle _______
Shape of Base:___No Base_ ____
Shape of Base:_Triangle_____
Name:_Cone______ __________
Name:_Sphere__ ______________
Name:_Triangular Pyrimid___
Faces: 1 Vertices: 1 Edges: 0__
Faces: 0 Vertices: 0
Faces: 4 Vertices: 4 Edges: 6
7)
8)
Shape of Base:_ Square _______
Shape of Base:_ Trapezoid ______
Shape of Base:__ Square_____
Name:_Cube___ ___________
Name:_Trapezoidal Prism____
Name:_Square Pyrimid_______
Faces: 6 Vertices: 8 Edges: 12__
Faces: 6
Faces: 5
6)
Edges: 0
9)
Vertices: 8 Edges: 12 _
Vertices: 5 Edges: 8
Name: ____Answer Key_____________
Date: _________
3-D Figures
1)
Name of base:
Name of shape:
____Trapezoid_____________
____Trapezoidal Prism_______
# Faces: ___6_____
2)
Name of base:
Name of shape:
____Square_______________
____Cube_________________
# Faces: ___6_____
3)
Name of base:
Name of shape:
# Faces: ___7_____
4)
# Vertices ____10____ # Edges ____15___
Name of base:
Name of shape:
Name of base:
Name of shape:
# Faces: ___7_____
6)
# Vertices ____8____ # Edges ____12___
____Pentagon______________
____ Pentagon Prism_________
# Faces: ____4____
5)
# Vertices ____8____ # Edges ____12___
Name of base:
Name of shape:
# Faces: ___8_____
_____Triangle_____________
_____Triangular Pyramid______
# Vertices ____4____ # Edges _____6___
_____Hexagon_____________
_____Hexagonal Pyramid____
# Vertices ____7___ # Edges ____12___
_____Hexagon______________
_____Hexagonal Prism________
# Vertices ____12____ # Edges ____18___
Period: _________
7)
Which is not a prism?
A.
8)
B.
D.
Find 3 pyramids.
A.
9)
C.
B.
C.
D.
E.
F.
Fill in the blank as either prism or pyramid.
Pentagonal
Pyramid
Pentagonal
Prism
Hexagonal
Prism
Hexagonal
Pyramid
Nonagonal
Nonagonal
Pyramid
Prism
10) Use the word bank to identify each 3-D shape.
Triangular Prism
Hexagonal Prism
Heptagonal Pyramid Square Pyramid
Triangular Prism
Square Pyramid
Octagonal Prism
Triangular Pyramid
Triangular Pyramid
Hexagonal Prism
Cube
Cone
Sphere
Cylinder
Cone
Cylinder
Cube
Heptagonal Pyramid
Octagonal Prism
Sphere
Name: _________________________
Date: _________
3-D Figures
1)
Name of base:
Name of shape:
# Faces: _________
2)
Name of base:
Name of shape:
# Faces: _________
3)
Name of base:
Name of shape:
# Faces: _________
4)
Name of base:
Name of shape:
# Faces: _________
5)
Name of base:
Name of shape:
# Faces: _________
6)
Name of base:
Name of shape:
# Faces: _________
_________________________
_________________________
# Vertices _________ # Edges _________
_________________________
_________________________
# Vertices _________ # Edges _________
_________________________
_________________________
# Vertices _________ # Edges _________
_________________________
_________________________
# Vertices _________ # Edges _________
_________________________
_________________________
# Vertices _________ # Edges _________
_________________________
_________________________
# Vertices _________ # Edges _________
Period: _________
7)
Which is not a prism?
A.
8)
B.
D.
Find 3 pyramids.
A.
9)
C.
B.
C.
D.
E.
F.
Fill in the blank as either prism or pyramid.
Pentagonal
Pentagonal
__________
__________
Hexagonal
__________
Hexagonal
__________
Nonagonal
Nonagonal
__________
__________
10) Use the word bank to identify each 3-D shape.
Triangular Prism
Hexagonal Prism
Heptagonal Pyramid Square Pyramid
________________
________________
Octagonal Prism
Triangular Pyramid
________________ _______________
________________
Cube
Cone
Sphere
Cylinder
________________
_______________
________________
________________
_____________