No Matter How You Slice It
ANSWER KEY
No Matter How You Slice It
Student Name: ____________________________________________________
Handout
1
Instructions
The chef was busy making sandwiches for
school lunches this morning. While she was
making cheese slices, she often had to figure
out how many slices she could get out of a
block of cheese. For each of these questions,
draw a picture and write an explanation of how
you answered the question.
1. How many 1/12" slices can the chef make with a block of
cheddar that is 2 inches long?
24 slices.
Here is a diagram showing 2 inches partitioned into one-twelfths
1
12
0
1
2
2. The chef is now making slices of American cheese that are 3/8" thick. If
she has a large block of cheese that is 6 inches long, how many slices
can she make?
16 slices. In a number sentence, 6 ÷ 3/8 = 16. There will be
no remainder.
0
1
3
2
4
5
6
3. How many 3/16" slices will she get from a small block of Gruyère cheese
that is 3/4" long?
4 slices.
This diagram shows the part of the number line from 0 to 3/4
partitioned into 16ths.
1 slice
3
4
0
1
4. Now the chef is making much bigger slices 2/5" thick. She has a block of
cheese 11/4" long.
a. How many complete slices will she get?
3 complete slices.
b. How thick is the leftover piece (measured in inches)?
1/
4
–1/5 = 1/20 inch
c. What fraction of a slice is left over?
There are 4/20 in 1/5, so 1/20, the left over piece is 1/4 of a slice.
Therefore the chef can make 31/4 slices.
2014 http://math.serpmedia.org/diagnostic_teaching/
Handout #1 continued on the next page...
ANSWER KEY
No Matter How You Slice It
Student Name: ____________________________________________________
5. How many 3/8" slices will she get from a block of Swiss cheese that is 5
inches long?
Following a similar process as we followed in #4, 131/3
Bonus Puzzler: Can you cut a wheel of cheese into 8 equal parts with three
straight slices?
2014 http://math.serpmedia.org/diagnostic_teaching/
Handout
1
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