The Things that
Shape our Lives!
This packet belongs to________________
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
1
Look at the picture below.
This is a photograph of Notre Dame. Bishop Maurice de Sully started
construction of Notre Dame in 1163 and it lasted until 1345. Wowsers!!!
How many years did it take to complete construction?
Please show all of your work in the box below.
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
2
If Notre Dame was officially completed in 1345, how old would it be?
Please show all of your work in the box below.
Now think about the beautiful building that you were looking at a moment
ago. How would you describe this picture to a friend. Please write your
description below the picture. Share as much as possible and be descriptive.
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
3
Alrighty! Now that your have written you explanation, I would like you and
your partner to create a list of shapes. Write down as many shapes as you
possibly can and then draw a picture for each shape next to its name.
Name
Drawing
Now, take a moment and check with your teacher before you
move on any further!
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
4
1.
Good Gravey, there are tons of cool shapes all around us! Why don’t
we take a walk through the school to see what shapes we can find in
the halls! When you are ready, use your arms to make a triangle
above your head! This will show me that you are ready to go on a
shape-tacular adventure!
Object name and drawing
Created by Mr. Kevin Cornell, 2009.
The shape of the object
Use with permission only.
5
2.
Have you ever heard of an architect? Do you know what an architect
does? If so, try to explain your ideas using words and pictures.
3.
An architect is a person who works with lines and shapes to create the
beautiful buildings you see all around your city. Architects use math
each and every day to create these wonderful structures. By using
geometry and measurement, architects create drawings of buildings.
Sometimes, the drawings are completed months, even years, before
they ever are constructed. Can you think of any math tools that might
help an architect draw really cool buildings?
Tool
Illustration
Take a moment and check with your teacher before you move
on any further!
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
6
4.
Well, my little mini mathematicians, look back at all of the shapes that
you and your partner came up with. Can you see any of the shapes
that YOU drew in the picture below? When you find a shape, trace it
with your pencil.
Now, take a moment and check with your teacher before you
move on any further!
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
7
5.
Use a green crayon and color in all of the squares that you found in
the castle drawing. How many squares did you find?
6.
Well, Well, Well! You’re looking really GREEN today! I have a
question. How did you know that you colored in a square? Can you
write your own definition of a square?
7.
Take your rulers and measure the length of the squares that you found
in the tower! Write the measurements directly on the drawing next to
each side! REMEMBER TO LABEL THE UNITS!
8.
Now that you have measured the square, take those same
measurements and redraw the squares inside the box. Try to be as
accurate as possible.
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
8
9.
Did you find any triangles? Color them all red!!!
10.
How did you know that those shapes were triangles? Can you write
your own definition of a triangle?
11.
Measure the sides of the largest one and write down each sides’
measurement on the drawing. Then redraw the triangle inside the box
below.
Now, take a moment and check with your teacher before you move on
any further!
Well, it looks like you know your shapes so far! Nothing seems to be
able to trick you Smarties! Plus, your castle is starting to look very nice!
Remember, squares are polygons that have FOUR EQUAL SIDES. That
means each side is exactly the same length! Triangles, are polygons that
have THREE SIDES. Triangles’ sides do not always have to be equal. But
squares must have four equal sides to be a square. Interesting!!!!
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
9
12.
How about any LARGE rectangles? Could you find them in the
drawing of the castle? Color them both black please.
13.
Wait a minute! What makes a rectangle a rectangle?
14.
Measure two of the rectangles that you colored black. Label each side
of the rectangle! Remember to include the unit of measurement!!!!!
15.
Now that you have measured two of them, redraw the “door” below in
the box. Remember, you should be using the measurements from the
picture to reconstruct it accurately.
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
10
16.
Wait, Wait, Wait! I want you to look at that rectangle you drew! Did
you label each side? Are you certain? We wouldn’t want the guards
to find out that you didn’t label everything correctly.
17.
Okay, now that your “door” is labeled correctly, add up all of the
sides of that rectangle. What is the sum of all of the sides of the
“door”?
Please show all of your work in the box below.
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
11
18.
Guess what? You just calculated the perimeter of that “door”, which
was a rectangle! That’s right. The perimeter is the distance around
the outside of an object!
19.
Great job. Now, would I be able to interest you to find the perimeter
of that other black rectangle that you colored earlier?
Explain your ideas using words and pictures
Now, take a moment and check with your teacher before you move on
any further!
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
12
20.
There’s nothing better than having the sun shining down on our lovely
castle! Isn’t it beautiful? Well, I certainly think it is! Go ahead and
color in the sun so that it’s yellow. Did you notice that one beam of
light is shining down and is reflecting off one of the stones? Trace this
beam of light with a yellow crayon (since it came from the sun). It
creates an angle! Does that angle look like it’s an obtuse, acute, or
right angle? How do you know?
21.
Can you draw an acute angle? Obtuse angle? Right angle? Let’s see
it!
22.
Go back and look at the castle drawing! Can you find any other
angles in the drawing. Please color them yellow and label them as an
acute, obtuse, or right angle.
Now, take a moment and check with your teacher before you move on
any further!
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
13
You are probably thinking to yourself: Wow, it must have taken the
architect a long time to create such a wonderful, beautiful castle like that!
Well, I certainly agree.
23.
Building a wonderful castle like this one takes lots and lots of time!
Really, it does! The architect for this castle is none other than the
famous King BuildA-Lot (insert cheer)! Below is a calendar that
King BuildA-Lot used when designing his castle.
January-1682
Tu W Th Fr
1 2
4 5 6 7 8 9
11 12 13 14 15 16
18 19 20 21 22 23
25 26 27 28 29 30
Su M
Sa
3
10
17
24
31
24.
It took King BuildA-Lot 2 weeks to create a drawing for his castle.
When architects create drawings for buildings, they call them
blueprints. The blueprints show the details of the castle without
actually building the castle. It’s what architects do BEFORE they
have something constructed. If he started on his blueprints on January
2, 1682, when did he complete his blueprints?
25.
Explain and draw pictures to help explain your thoughts.
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
14
26.
Alrighty then! Now that you have successfully completed the packet,
it’s your time to use your geometry abilities to create a castle drawing
of your own. Before you do anything, please look at the calendar
below and fill it in appropriately for this month!
27.
Please take an orange crayon and color in today’s date on the
calendar. As of today, your official title is Architect ____________.
28.
On separate paper, you will be responsible to create a castle drawing
that includes at least 6 different shapes. I expect you to use a ruler to
measure your shapes and make certain that your shapes have straight
edges.
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
15
29.
You can be as creative as you desire, but you must follow the basic
rules of castle construction:
RULE # 1 Your castle must include at least 6 different shapes.
RULE #2 Your castle must have a square with sides that
measure 5cm. This square must be colored in red!
RULE #3 You must include a triangle that has one side that is
greater than 6 centimeters. This triangle must be blue.
RULE #4 You must include a rectangle that is 8 cm long and 4
cm wide. Color this rectangle gray.
30.
Following the rules set forth by the Castle Construction Corporation
will ensure that you are successful while drawing your blueprints.
Have Fun!!!!!
Created by Mr. Kevin Cornell, 2009.
Use with permission only.
16