Tiering Assignments:

Rotating Review Activity

Quick! Grab a NET!

What do you think of when I say the word

“net?”

A MATHEMATICAL NET is a 2-dimensional model that can be folded to form a 3-dimensional figure.

Vertex: POINT where at least three edges meet

Face: flat surface

Edge: where two faces meet

Vocabulary Reminders

Polyhedron = 3-dimensional geometric figure having flat surfaces that meet along straight edges

Rotating Review Activity

1. Identify the NAME of each polyhedron at each station.

2. Analyze each polyhedron according to critical attributes …

•# of vertices•# of faces•# of points

3. Create an ANALOGY for each polyhedron

4. SKETCH the mathematical net

Polyhedron Classification Matrix

Name of the Polyhedron

Cube

# Vertices 8

# Edges 12

# Faces (and shape of each)

6 squares

Analogy

Sketch a NET that could fold and become the polyhedron

A Cube

Box

as

…is shaped like a…

as asas

…is shaped like a… …is shaped like a… …is shaped like a……is shaped like a…

Thinking Maps Tree Map:

You may choose to use a Tree Map

instead of the Matrix

Name: Cube

# Edges: 12

# Faces: 6 (all 6 squares)

Analogy:

Sketch Net:

A Cube

Box

as

…is shaped like a…

as asas

…is shaped like a… …is shaped like a… …is shaped like a……is shaped like a…

Polyhedron Tree Map

____________

____________

____________

Analogy:

Sketch Net:

____________

____________

____________

Analogy:

Sketch Net:

____________

____________

____________

Analogy:

Sketch Net:

____________

____________

____________

Analogy:

Sketch Net:

Differentiation for Struggling Students:

Full Word Bank

Polyhedron Analysis Hints!Vocabulary Reminders:

Vertex (vertices): POINT where at least three edges meet

Face (Faces): FLAT surfaceEdge (Edges): LINE where two faces meet

Net: 2-dimensional (flat) paper that can be folded to form a 3 dimensional polyhedron

Word Bank for Polyhedron Classification Matrix: (Not in the correct order! You must write the following words into your matrix where they belong!)Triangular Pyramid Rectangular Prism 5 Faces (3 squares or rectangles, 2 triangles)

8 Vertices Triangular Prism 5 Vertices6 Vertices 12 Edges 6 EdgesSquare Pyramid 6 Faces (2 squares or rectangle ends & 4 rectangles) 4 Vertices5 Faces (4 triangles & 1 square) 8 Vertices 4 Faces (4 triangles)

Analogies: (choose from the following words to complete your analogies.)Rectangular prism Tent Triangular Prism Triangular Pyramid Book King Tut’s Tomb Square Pyramid

Sample NETS: Choose from the following nets & sketch the appropriate net for each polyhedron on your Polyhedron Classification Matrix: (Hint! Count the faces and note the shape of each face to figure out which net goes with which polyhedron!)

Differentiation for Regular Students:

Partial Word Bank

Polyhedron Analysis Hints!Vocabulary Reminders:

Vertex (vertices): POINT where at least three edges meet

Face (Faces): FLAT surface

Edge (Edges): LINE where two faces meet

Net: 2-dimensional (flat) paper that can be folded to form a 3 dimensional polyhedron

Partial Word Bank for Polyhedron Classification Matrix: (Not in the correct order! You must write the following words into your matrix where they belong , but you only have a FEW of the words – not all of them!)

Triangular Pyramid Rectangular Prism 5 Faces (3 squares or rectangles, 2 triangles)

8 Vertices Triangular Prism 6 Edges6 Faces (2 squares & 4 rectangles) 12 Edges Square Pyramid

Analogies: Hint! Think of what the shape looks like in real life.

Sketching Nets: Hint! Fold out each 3-dimensional examples of each polyhedron to them see what the net would look like. Sketch what you see.

Differentiation for Advanced Students:

No Word Bank + Challenge Problem

Polyhedron Analysis Hints!Vocabulary Reminders:

Vertex (vertices): POINT where at least three edges meet

Face (Faces): FLAT surface

Edge (Edges): LINE where two faces meet

Net: 2-dimensional (flat) paper that can be folded to form a 3 dimensional polyhedron

CHALLENGE! Analyze the following polyhedron and draw a net that would fold to form this figure.

Polyhedron Classification Matrix

Name of the Polyhedron

Cube

# Vertices 8

# Edges 12

# Faces (and shape of each)

6 squares

Analogy (this figure looks like a…)

BOX

Sketch a NET that could fold and become the polyhedron

Tiered Differentiation:

• All Students: Analyzing critical attributes, Classifying Polyhedron, creating analogies & Illustrating visual nets

• Below Level Support: Vocabulary reminders, Word Bank, Net Bank, & Manipulatives

On Level: Vocabulary reminders, Partial Word Bank, Manipulatives

Above Level: Vocabulary reminders, Manipulatives, Challenge Figure

Polyhedron Classification Matrix

Name of the Polyhedron

Cube Rectangular Prism

Triangular Prism

Triangular Pyramid

Square Pyramid

# Vertices 8 8 6 4 5

# Edges 12 12 9 6 8

# Faces (and shape of each)

6 squares 6 Faces: 4 rectangles & 2 squares

or end rectangles

5 Faces: 2 triangles & 3 rectangles

4: 4 triangles 5 faces: 1 square & 4 triangles

Analogy

Sketch a NET that could fold and become the polyhedron

A Cube

Box

as

…is shaped like a…

as asas

…is shaped like a… …is shaped like a… …is shaped like a……is shaped like a…

key

A rectangular prism

Book

Triangular prism

Tent

Triangular pyramid

???

Square Pyramid

King Tut’s Tomb

TAKS PRACTICE QUESTION (2006 11th grade)

10 How many faces, edges, and vertices does the solid shown below have?                                                     

F 4 faces, 10 edges, and 7 vertices G 9 faces, 10 edges, and 8 vertices H 10 faces, 16 edges, and 9 vertices J 9 faces, 16 edges, and 9 vertices

 

What geometric solid figure would this “net” make?

Would this be a polyhedron?

Why or why not?

31 Which net best represents the triangular prismshown below?