Warm Up
Define in your vocab packet:
Tree Diagram
Venn Diagram
Net
(See page 78 for assistance.)
If you were absent Friday you MUST
make up your quiz TODAY!
Tree Diagram - A concept map in
the form of the branches of a tree.
Venn Diagram - A circle diagram
used to show the relationships
among members of different sets.
Net - A two-dimensional pattern
that you can cut out and fold to
form a three-dimensional figure.
p76 Answers
13.
14.
15.
16.
17.
18.
(x,y) -> (x+3, y+2)
AB ⊥ CP, EF || GH , i ⊥ k , j ⊥ k
34cm
Scalene, Right
Rhombuses, Rectangles
B&D
3. Freddie the Frog is at the bottom of a 30-foot well.
Each day he jumps up 3 feet, but then, during the night,
he slides back down 2 feet. How many days will it take
Freddie to get to the top and out?
Day 1 +3ft
Night 1 -2ft
3ft
1ft
Day 26 +3ft
Night 26 -2ft
28ft
26ft
Day 2 +3ft
Night 2 -2ft
4ft
2ft
Day 27 +3ft
Night 27 -2ft
29ft
27ft
Day 3 +3ft
Night 3 -2ft
5ft
3ft
Day 28 +3ft
30ft
Day 4 +3ft
Night 4 -2ft
6ft
4ft
4. Mary Ann is building a fence around the outer edge
of a rectangular garden plot that measures 25 feet by
45 feet. She will set the posts 5 feet apart. How many
posts will she need?
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5. Midway through a 2000-meter race, a photo is taken
of five runners. It shows Meg 20 meters behind Edith.
Edith is 50 meters ahead of Wanda, who is 20 meters
behind Olivia. Olivia is 40 meters behind Nadine. Who
is ahead? In your diagram, use M for Meg, E for Edith,
and so on.
50
W
O
20
M
10
30
E
20
40
N
10
F
I
N
I
S
H
1.8 Space Geometry
Solid
A geometric figure that completely
encloses a region of space.
Prisms
A solid with two parallel, congruent polygon
bases.
Prisms
Pyramids
A solid with 1 polygon base and line
segments connecting the vertices of the
base with a single point not on the base.
Pyramids
Cylinders
A solid with two parallel, circular bases.
Cylinders
Cones
A solid with 1 circular base and line
segments connecting the base with a
single point not on the base.
Cones
Spheres
The set of all points in space at a given
distance (the radius) from a given point
(the center).
Spheres
Hemispheres
Half of a sphere including a great circle as
its base.
Hemisphere
Building A Box Activity
Emma got a new job at the Acme Box Factory. Her job is to construct cubes that
will be used as jewelry boxes. Her boss, Ron, showed her the company’s
current blueprint for making these boxes (Figure 1). He explained, “This shape
is called a net. A net is a flat figure that can be cut out and folded into a box.
This net can be folded into a cube that measures 3 centimeters on each side.”
Emma was then instructed to cut out Figure 1 and fold it into a cubical box. (You
may also want to do this.)
“Your job,” Ron continued, “is to draw as many of these nets as you can, cut
them out, and fold them into cubes.”
“Do all my nets have to look like this one?” asked Emma.
“Well, I guess they don’t have to look like that… but how else could they look?”
inquired Ron.
Emma quickly sketched out another net (Figure 2) and exclaimed, “Wouldn’t
this also work?”
“Yeah, maybe,” said Ron skeptically. “It doesn’t matter to me how you do it. You
can make the nets anyway you want, as long as you end up with cubes
measuring 3 centimeters on each edge.”
“Great!” replied Emma. “I wonder how many ways there are to make such a
net?”
Your task is to help Emma answer this question:
How many different nets can you draw that can be folded into a
cube?
Use the grid paper to draw and test several net designs, and then count
and label each of the different figures. Carefully explain how you know
that you have found all possible nets that will form a cube.
Homework
p83 #13-17
p88 #1-25odd
Chapter 1 Test Thursday!!!