Transcript Unit 7: Solid Figures and Measurement

February 28, 2011
1) Write your homework in your agenda:
2) Open your agenda to your behavior card.
3) Let’s discuss the performance task from
Friday.
Georgia Performance Standards
M6G2: Students will further develop their
understanding of solid figures.
M6G2.a: Compare and contrast right prisms
and pyramids.
M6G2.b: Compare and contrast cylinders
and cones.
M6G2.c: Interpret and sketch front, back,
top, bottom and side views of solid figures.
M6G2.d: Construct nets for prisms,
cylinders, pyramids, and cones.
Georgia Performance Standards
M6M3: Students will determine the volume
of fundamental solid figures (right
rectangular prisms, cylinders, pyramids, and
cones.)
M6M3.b: Compute the volume of
fundamental solid figures, using appropriate
units of measure.
M6M3.d: Solve application problems
involving the volume of fundamental solid
figures.
Georgia Performance Standards
M6M4: Students will determine the surface
area of solid figures (right rectangular prisms
and cylinders).
M6M4.a: Find the surface area of right
rectangular prisms and cylinders using
manipulatives and constructing nets.
M6M4.b: Compute the surface area of right
rectangular prisms and cylinders using
formulae.
M6M4.d: Solve application problems involving
surface area of right rectangular prisms and
cylinders.
Unit 7: Solid Figures
and Measurement
Now’s the time to SHAPE UP!!
March 1, 2011
1) Write your homework in your agenda:
Review the vocabulary
2) Open your agenda to your behavior card.
Put your name on it and gently take it out.
3) Please turn in your final poster project.
Make sure all team names are listed and
you submit the work on loose leaf and the
rubrics.
4) Find the SOLID FIGURES section on
your dictionary.
What am I Learning Today?
Solid Figures
How will I show that I learned it?
Identify, sort, and classify solid figures by the
shapes of their bases
Identify and compare faces, edges, and
vertices of solid figures to determine its
shape
Review/Preview
One-Dimensional figure
Length
Review/Preview
Two-Dimensional figureA PLANE FIGURE
Length and width
Review/Preview
Three-Dimensional figureA SOLID FIGURE
Length, width, and height
What do we know about plane figures?
Shape
Name
Rectangle
Characteristics Polygon
4 sides, 4 right angles,
opposite sides are
parallel and congruent
yes
Triangle
3 sides, can have
varying lengths,
angles = 180 degrees
Circle
No sides or angles
no
6 congruent sides;
6 congruent angles
yes
4 congruent sides, 4
congruent right angles,
opposite sides are
parallel
yes
Hexagon
Square
yes
Vocabulary

Solid figure: A three dimensional figure
Examples of solid figures:
Vocabulary

Solid figure: A three dimensional figure
 Polygon: A closed plane figure formed by three or
more line segments that intersect only at their end
points.
Examples of Polygons
Vocabulary

Solid figure: A three dimensional figure
 Polygon: A closed plane figure formed by three or
more line segments that intersect only at their end
points.
 Polyhedron: A solid figure in which all the surfaces
or faces are polygons.
Polyhedron
Polygon
(pentagon)
Vocabulary

Solid figure: A three dimensional figure
 Polygon: A closed plane figure formed by three or
more line segments that intersect only at their end
points.
 Polyhedron: A solid figure in which all the surfaces
or faces are polygons.
 Face: A flat surface on a polyhedron.
A Face
Vocabulary





Solid figure: A three dimensional figure
Polygon: A closed plane figure formed by three or
more line segments that intersect only at their end
points.
Polyhedron: A solid figure in which all the surfaces
or faces are polygons.
Face: A flat surface on a polyhedron.
Base: The face of a solid figure by which it is
classified.
A Base
This figure has two bases
Vocabulary






Solid figure: A three dimensional figure
Polygon: A closed plane figure formed by three or
more line segments that intersect only at their end
points.
Polyhedron: A solid figure in which all the surfaces
or faces are polygons.
Face: A flat surface on a polyhedron.
Base: The face of a solid figure by which it is
classified.
Edge: The line segment along which two faces of a
polyhedron intersect.
An Edge
Vocabulary







Solid figure: A three dimensional figure
Polygon: A closed plane figure formed by three or
more line segments that intersect only at their end
points.
Polyhedron: A solid figure in which all the surfaces
or faces are polygons.
Face: A flat surface on a polyhedron.
Base: The face of a solid figure by which it is
classified.
Edge: The line segment along which two faces of a
polyhedron intersect.
Vertex: The intersection of three faces that form a
corner.
A Vertex
Solid Figures:
from “flat” to “fat”
March 2, 2011
1) Write your homework in your agenda:
Slew of Clues (Both sides)
2) Open your agenda to your behavior card.
3) Take out a piece of loose leaf and set up
for Cornell Notes.
4) Here’s your Warm-Up…
Did you review your
vocabulary??
Questions
What makes
figures 3D ?
How are solid
figures classified?
How are solid
figures named?
What are some
examples of
solid figures?
Answers
They have length, width, and height.
Faces, edges, and vertices
The shape of their polygon base
cone
cylinder
triangular
pyramid
rectangular
pyramid
rectangular
prism
sphere
cube
triangular
prism
Questions
What
characteristics
do these solid
figures have?
Which solid
figures are NOT
polyhedron?
Answers
Figure
Faces Edges Vertices
Base
cone
0
0
0
1
cylinder
0
0
0
2
rectangular
prism
6
12
8
2
triangular
prism
5
9
6
2
rectangular
pyramid
5
8
5
1
triangular
pyramid
4
6
4
1
cube
6
12
8
2
sphere
0
0
0
0
Sphere, cone, and cylinder
Geometric Solid Family Tree
Shaped
like a ball
NOT shaped
like a ball
SPHERE
Base is a
polygon
Base is a
circle
Top is a
point
CONE
Top is a
circle
Top is a
triangle
TRIANGULAR
PRISM
Triangle
Top is a
vertex
All edges
are equal
CYLINDER
TRIANGULAR
PYRAMID
CUBE
Rectangle
Top is a
rectangle
All edges
are NOT
equal
Top is a
vertex
RECTANGULAR
PYRAMID
RECTANGULAR
PRISM
Real Life Solid Figures
Cone
Triangular
Pentagonal
prism
cube
sphere
Cylinders
Pyramid
Exit Ticket
Explain why solid figures with
curved surfaces not
polyhedron.
Geometric Solid Family Tree