Unit 1 Week 1 Class:
Name:
INVESTIGATION 1-1
Task 1
One of the many tasks you’ll be doing in 8th grade is learning the processes that
engineers go though. The first task is to look at bridges. Many bridges are built
with frames of steel beams. Steel is very strong, but any beam will bend or break
if you put too much weight on it.
How do you think the strength of a beam is related to its thickness?
What other variables might affect the strength of a bridge?
Task 2
Engineers often use scale models to test their designs. You will do your own
experiments in class to discover mathematical patterns involved in building
bridges.
For this task you will need:
• Two blocks of wood of the same thickness
• A small cups
• 30-50 pennies
• 15 - 11” by 4 ¼” lengths of paper
Step 1. Taking your sheet of
paper, make a "bridge" by
folding up 1 inch on each long
side of each sheet. Do not try
to fold more than one sheet at
a time. Fold all lengths this
way, using a ruler to crisp the
edges
Task 3
Unit 1 Week 1 Class:
Name:
Task 4
Predict the breaking weight for a bridge 6 layers thick. Explain your reasoning.
Task 5
Suppose you could split layers of paper in half. What breaking weight would you
predict for a bridge 2.5 layers thick? Explain.
Unit 1 Week 1 Class:
Name:
Explanation:
2) Suppose it is possible to use half-layers of construction paper. What breaking
weight would you predict for a bridge 3.5 layers thick? Explain.
3) Predict the breaking weight for a construction-paper bridge of 8 layers. Explain
how you made your prediction.
Unit 1 Week 1 Class:
Name:
INVESTIGATION 1-2
Task 1
In the last investigation, you tested the strength of some
paper bridges. You found that bridges with more layers
are stronger than bridges with fewer layers.
1) How do you think the length and strength of a bridge are related?
2.) Are longer bridges stronger or weaker than shorter bridges? Why do you think
so?
Task 2
Today we will do an experiment to find out how the length and strength of a
bridge are related.
Instructions:
For this task you will need:
1.) Fold the paper strips to make bridges as
• Two blocks of wood or books
shown.
of the same thickness
• A small cup
• About 30-50 pennies
• 4 ¼” wide paper strips with
lengths 4, 6, 8, 9, and 11 inches
2.) Start with the 4-inch bridge.
Suspend the bridge between
the two blocks as you did before. The bridge should overlap each block by 1 inch. Place
the paper cup in the center of the bridge.
3.) Put pennies into the cup, one at a time until the bridge collapses. Record the
number of pennies you added to the cup. As in the first experiment, this number
is the breaking weight of the bridge. Repeat this process for the other lengths of
bridge
Task 3
Unit 1 Week 1 Class:
Name:
Now, describe the relationship between bridge length and breaking weight. How
is that relationship shown by patterns in your table and graph?
Use your data to predict the breaking weights for bridges of lengths 3, 5, 10, and
12 inches. Explain how you made your predictions.
Compare your data from this experiment to the data from the experiment on
bridges with different numbers of layers (yesterday’s experiment). How is the
relationship between the number of layers in a bridge and its breaking weight
similar to the relationship between bridge length and breaking weight? How is it
different?
Unit 1 Week 1 Class:
Name:
Unit 1 Week 1 Class:
Name:
Step 2. Start with one of the paper
strips. Suspend the bridge between
the blocks of wood. The bridge
should overlap each block by l inch
on the ends. Place the cup in the
center of the bridge.
Step 3. Put pennies into the cup, one at
a time, until the bridge collapses. We
will define collapse in this experiment
as when the bridge begins to have a
bend that causes the paper to crease or
fold over. Record the number of
pennies you added to the cup. We will
call this number the breaking weight of
the bridge.
Step 4. After you’ve recorded
the information, take the old
bridge and place it aside. Now
put two new strips of paper
together to make a bridge with
twice as many layers. Find the
breaking weight for this
bridge.
Step 5. Repeat this experiment to
find the breaking weights of bridges
made from three, four, and five
strips of paper and complete the
table.