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: You-Try problems. (Independently) Extra Practice: 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

1) Find the missing hypotnuse on this Right Triangle. Answer: _______

2.5m Z Step 1:

Step 2:

6m

Step 3:

2) Find the missing leg of the following Right triangle. Answer: _______

30 ft Step 1: a

Step 2:

24 ft

Step 3:

3) Will the measurements of 8, 9, 10 form a right triangle? Answer: _______

Circumference

4) Find the circumference of the following figure. Answer: _______

5m

Area

5) Find the area of this shape. Answer: Answer: _______

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

21 in

9 in

6 in

Answer Key Geometry Review Bellwork

Pythagorean Theorem

1) Find the missing hypotnuse on this Right Triangle. Answer: 6.5 m

2.5m Z Step 1:

Step 2:

6m

Step 3:

2) Find the missing leg of the following Right triangle. Answer: 18 ft

30 ft Step 1: a

Step 2:

24 ft

Step 3:

3) Will the measurements of 8, 9, 10 form a right triangle? Answer: No

Circumference

4) Find the circumference of the following figure. Answer: 31.4 cm

5m

Area

5) Find the area of this shape. Answer: Answer: 90

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

21 in

9 in

6 in

Student Notes Lesson 8-8 3-D Figures Textbook Pages 410 – 413

What are Polygons? 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 A. 3 sides ____ Octagon B. 4 sides ____ Decagon C. 5 sides ____ Hexagon D. 6 sides ____ Triangle E. 7 sides ____ Heptagon F. 8 sides ____ Pentagon G. 9 sides ____ Nonagon H. 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

Face – The flat surfaces.

Edge – Where the faces meet.

Vertex – Where the edges meet.

Base - The top and bottom faces.

Examples

Prism Pyramid Cylinder

Named by the shape of Also, named by the shape of Two bases that are circles.

their two bases. its one base.

Notice… the two bases have the The other faces are triangles.

same shape!

The other faces are rectangles.

Cone Sphere Cube

One vertex and a circular base. All points are the All faces are squares.

same distance from

a center point.

face

vertex edge no faces

Triangular

Prism

Pentagonal

Prism

3-D Figure

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 Triangular Pyramid Cube

Hexagonal Pyramid Cylinder Triangular Prism Cone

Square Pyramid

1) 2) 3)

Shape of Base: __ _________________ Shape of Base: __ __________________ Shape of Base: ________________

Name: _________ __________________ Name: _________ __________________ Name: ________________________

Faces: Vertices: Edges: ___ Faces: Vertices: Edges: ___ Faces: _ Vertices: Edges: ___

4) 5) 6)

Shape of Base: __ _________________ Shape of Base: __ __________________ Shape of Base: ________________

Name: _________ __________________ Name: _________ __________________ Name: ________________________

Faces: Vertices: Edges: ___ Faces: Vertices: Edges: ___ Faces: _ Vertices: Edges: ___

7) 8) 9)

Shape of Base: __ _________________ Shape of Base: __ __________________ Shape of Base: ________________

Name: _________ __________________ Name: _________ __________________ Name: ________________________

Faces: Vertices: Edges: ___ Faces: Vertices: Edges: ___ Faces: _ Vertices: Edges: ___

Answer Key You Try!

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 Trapezoidal Prism Triangular Pyramid Cube

Hexagonal Pyramid Cylinder Triangular Prism Cone

Square Pyramid

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) 6)

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 Edges: 0 Faces: 4 Vertices: 4 Edges: 6

7) 8) 9)

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 Vertices: 8 Edges: 12 _ Faces: 5 Vertices: 5 Edges: 8

Name: ____Answer Key_____________ Date: _________ Period: _________

3-D Figures

1) Name of base: ____Trapezoid_____________ Name of shape: ____Trapezoidal Prism_______

# Faces: ___6_____ # Vertices ____8____ # Edges ____12___

2) Name of base: ____Square_______________ Name of shape: ____Cube_________________

# Faces: ___6_____ # Vertices ____8____ # Edges ____12___

3) Name of base: ____Pentagon______________ Name of shape: ____ Pentagon Prism_________

# Faces: ___7_____ # Vertices ____10____ # Edges ____15___

4) Name of base: _____Triangle_____________ Name of shape: _____Triangular Pyramid______

# Faces: ____4____ # Vertices ____4____ # Edges _____6___

5) Name of base: _____Hexagon_____________ Name of shape: _____Hexagonal Pyramid____

# Faces: ___7_____ # Vertices ____7___ # Edges ____12___

6) Name of base: _____Hexagon______________ Name of shape: _____Hexagonal Prism________

# Faces: ___8_____ # Vertices ____12____ # Edges ____18___

7) Which is not a prism?

A. B. C. D.

8) Find 3 pyramids.

A. B. C. D. E. F.

9) Fill in the blank as either prism or pyramid.

Pentagonal Pentagonal Hexagonal Hexagonal Nonagonal Nonagonal

Pyramid Prism Prism Pyramid Pyramid Prism

10) Use the word bank to identify each 3-D shape.

Triangular Prism Hexagonal Prism Octagonal Prism Cube Sphere

Heptagonal Pyramid Square Pyramid Triangular Pyramid Cone Cylinder

Triangular Prism Triangular Pyramid Cone Cylinder Cube

Square Pyramid Hexagonal Prism Heptagonal Pyramid Octagonal Prism Sphere

Name: _________________________ Date: _________ Period: _________

3-D Figures

1) Name of base: _________________________ Name of shape: _________________________

# Faces: _________ # Vertices _________ # Edges _________

2) Name of base: _________________________ Name of shape: _________________________

# Faces: _________ # Vertices _________ # Edges _________

3) Name of base: _________________________ Name of shape: _________________________

# Faces: _________ # Vertices _________ # Edges _________

4) Name of base: _________________________ Name of shape: _________________________

# Faces: _________ # Vertices _________ # Edges _________

5) Name of base: _________________________ Name of shape: _________________________

# Faces: _________ # Vertices _________ # Edges _________

6) Name of base: _________________________ Name of shape: _________________________

# Faces: _________ # Vertices _________ # Edges _________

7) Which is not a prism?

A. B. C. D.

8) Find 3 pyramids.

A. B. C. D. E. F.

9) 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 Octagonal Prism Cube Sphere

Heptagonal Pyramid Square Pyramid Triangular Pyramid Cone Cylinder

________________ ________________ _______________ ________________ ________________

________________ ________________ _______________ ________________ _____________