Mathematics and Numeracy

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Mathematics and Numeracy
Shading Fractions

• Paul Fogarty
• Nicole Zalewski
• Jennifer Martin

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How many ways can we shade 3/8 in a 2x4 rectangle?
An example
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Preliminary Skirmishing
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(No Transcript)
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Exploring Systematically
A
B
C
D
A letter represents each square
E
G
H
F
A number represents each square
1
4
2
3
7
8
6
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A selected pattern is used to distinguish
between each combination
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Exploring Systematically
A
C
G
D
B
E
F
H
B
C
D
ABC ABD ABE ABF ABG ABH
ACB ACD ACE ACF ACG ACH
ADB ADC ADE ADF ADG ADH
H
G
F
E
D
C
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Exploring Systematically
ABC ABD ABE ABF ABG ABH 6
ACD ACE ACF ACG ACH 5
ADE ADF ADG ADH 4
AEF AEG AEH 3
AFG AFH 2
AGH 1
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Different numbers of shadings

• 4/8

• 1/8

2/8
3/8
A B C D E F G H
AB AC
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Which is the quickest way ?