Uploaded by Autumn Cohen

Isn't Math Yummy

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Isn’t Math Yummy??!!
Often I am asked: “What am I ever going to use this for?” Today you
will see many different applications of math through one of your
favorite things: junk food! Basically we are going to explore and
experiment with every type of math that can be done using a bag of
skittles! Don’t worry; you will get to eat them eventually…but not yet!
You have your work cut out for you and you will work up an appetite! You will be doing some
basic math that is a review of 7th grade (and the 8th grade curriculum
that you are skipping) and you will be seeing a preview of what is to
come this year in Algebra 1. Many of the topics today will just be
introduced. The “why” and “how” part will come later as we build up
our algebra skills! At the end, you will be writing an essay describing
all the math you found in these activities! Let’s get started!
Supplies Needed:

Bag of Skittles, ruler, cup, calipers, paper plate
Part 1: Basic Math Review
1.
Before opening your bag, predict how many total Skittles will be in your
bag (don’t feel the bag!) Which color do you think will occur most often?
Why?
9. Fill out the following chart based on the skittles in your bag.
10. Assume your teacher has a large bag that contains 630 skittles. Use your
data above to predict how many of each color will be in your teacher's bag.
Show all work below. (Try using proportions.)
c)
Do you think that every skittle is exactly the same size and
shape? Explain why or why not.
d) Attempt to find two skittles that appear to be different sizes, one
that appears normal and one abnormal. Use a pair of Vernier
calipers to measure the dimensions of the two skittles. Find the
percent change in the dimensions of the two.
15 . Do all the candy bags contain the same number of candies and colors?
How can you explain this?
16. Pull out the following combination of colors and put them in a cup. 5 Red,
7 Yellow, 5 Orange, 2 Green, 1 Purple. Conduct a Probability
experiment. Shake the cup hard in between each pull. Reach in and grab
a color without looking and record the color that is pulled out. After 10
pulls, calculate the experimental and theoretical probability of each color
in the next chart. Compare them and decide if you are lucky or unlucky
and why.
Color
Tally
Experimental
Probability
Theoretical
Probability
Lucky or
Unlucky?
Red
Yellow
Orange
Green
Purple
Part 2: Graphs – Do this at home by yourself for homework.
You know a LOT about graphs. Your task is to make THREE graphs using any of the data
that you have collected so far in part 1. The challenge for you is to make three very different
graphs that show three different kinds of data. You are to draw a CONCLUSION from each
graph. Use a separate piece of graph paper to make these graphs and then answer the
questions below about each graph. Make sure each graph is PERFECT with all its parts!
Graph #1
Types of Graph
Why did you choose
that type of graph?
What data question
does your graph
answer?
What conclusions
can be drawn from
your graph?
Graph #2
Graph #2
Part 3: Skittle Pie?
1. Draw a straight line in the middle of a blank piece of paper. Then line up somewhere
between 5 and 10 (your choice) Skittles on the line and mark
off the beginning and end of the line of Skittles. This will
establish the diameter of your circle using one Skittle as our
fundamental unit of length.
2. Using your compass and ruler construct the perpendicular bisector of
the diameter to find the center for the circle. Draw the circle using your
compass.
3. Line up Skittles on the circle until the circumference is filled in. If
necessary, split a Skittle in half to complete the circumference.
4. Record the number of Skittles required to complete the circumference.
5. Divide your circumference by your diameter and describe the
significance of and accuracy of your result.
Part 4: What, more graphs?
Linear Growth Experiment
1. Make a FIVE color Skittle pattern using at least THREE different
colors of Skittles. Write down your pattern here.
2. Continue your pattern of Skittles for five more iterations (repeats).
3. Pick your favorite color in your pattern:
4. After each iteration, record how many Skittles of your
favorite color that there are total so far. Use the table at
the right.
5. Make a graph from the data you have collected. Put the
iteration number on the x-axis.
6. Explain the shape of your graph. What connection does
the shape have with the data collection experiment with
Skittles?
Exponential Growth Experiment
1. Fill a cup about 2/3 full of Skittles.
2. Pour out your candy onto the plate and count all of them.
Record this as Trial 0 in the table.
3. Put all the candy back into the cup. Pour out the candy onto
the plate again, but this time only count the ones that are
face up--that is, have the "S" showing. Record this in your
table.
4. Put only the candies that were face up back into the cup.
Remove all of the candy that was face down.
5. Repeat steps 3 and 4 until you have no candy left.
6. On a coordinate plane, plot your data as coordinate points.
Trial Number should be on the x-axis.
7. Explain the shape of your graph. What connection does the shape have with the data
collection experiment with Skittles?
8. If time, ask me how to enter your data into your calculator.
Part 5: Problem Solving: (do on your own for homework)
The Problem: (Skittles and bags not actually needed!)
 There are 5 paper bags.
 There are 100 Skittles total in all the bags.
 The first and second have 52 Skittles.
 The second and third have 43 Skittles.
 The third and fourth have 34 Skittles.
 The fourth and fifth have 30 Skittles.
 How many Skittles are in each bag?
Strategy:
Work:
Solution:
Part 6: Reflection and Essay
Besides reviewing math skills, what have you learned from this experiment with Skittles.
Give at least FIVE DEEP THOUGHTS! Use more space if needed or type.
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