mfm 2p review for quiz xy first differences -310 second differences -28 6 04 12 20 3-2 xy first...
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MFM 2P
Review for Quiz
x y
FirstDifference
s
-3 10Second
Differences
-2 8
-1 6
0 4
1 2
2 0
3 -2
x y
FirstDifference
s
-3 16Second
Differences
-2 6
-1 0
0 -2
1 0
2 6
3 16
Which represents a linear relationship? Which represents a quadratic relationship?
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MFM 2P
Review for Quiz
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MFM 2P
Review for Quiz
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MFM 2P
Review for Quiz
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MFM 2P
Review for Quiz
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MFM 2P
Review for Quiz
-10
-5
0
5
10
-4 -3 -2 -1 0 1 2 3 4
Vertex:
Axis:
Optimal Value:
X-Intercepts:
Y-Intercepts:
Opening:
Step Pattern:
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MFM 2P
Review for Quiz
Vertex:
Axis:
Optimal Value:
X-Intercepts:
Y-Intercepts:
Opening:
Step Pattern:
-5
0
5
10
-2 -1 0 1 2 3 4 5 6
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MFM 2P
Review for Quiz
Rise:
Run:
Y-Intercept:
Independent Variable:
Dependent Variable:
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MFM 2P
Review for Quiz
Rise:
Run:
Y-Intercept:
Independent Variable:
Dependent Variable:
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MFM 2P
Minds On
Convert the following (Use your charts!):
135mm = m 12g = kg
20 yards = m 207 inches = feet
12 miles = km 0.25 pounds = kg
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MFM 2P
Lesson Six: Proportions
Learning Goals:
I can define proportional I know the properties of
similar triangles I can use the idea of
proportions to determine missing sides of triangles
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MFM 2P
Lesson Six: Proportions
What does “Proportional” mean?
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MFM 2P
2
4
4
8
1
2
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MFM 2P
2
4
4
5
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MFM 2P
Lesson Six: Proportions
Proportion means:• Two quantities have the same
relative size• Two things have the same ratio
(or percentage)• All sides of a shape increase by
the same amount
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MFM 2P
Lesson Six: Proportions
What is a ratio?
A ratio shows the relationship between two numbers with the same unit.Example: What is the ratio of boys to girls in this class?
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MFM 2P
Lesson Six: Proportions
Can ratios be represented in a different way?
Fraction, decimal, percent, ratio form
Example: Rewrite the ratio of boys to girls in this class?
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MFM 2PLesson Six: Proportions
Which are proportional?
8 : 16
4 : 550%
15%
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MFM 2PLesson Six: Proportions
Which are proportional?
3 : 5
6 : 10
60%
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MFM 2P
Lesson Six: Proportions
What is a mullet?
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MFM 2P
Lesson Six: Proportions
How could you compare these mullets?
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MFM 2P
Lesson Six: Proportions
How could you compare these mullets?
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MFM 2PLesson Six: Proportions
0.0
0051 m
iles
0.000013 miles12 cm
33 c
m
Which Mullet is more mullet-y?
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MFM 2PLesson Six: Proportions
What would it mean if two mullets had the same mullet ratio?
We can compare to OR to
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MFM 2PLesson Six: Proportions
Are these mullets the same? Compare their Mullet Ratios!
12 cm
33 c
m
8 cm
22 cm
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MFM 2PLesson Six: Proportions
Complete Mullet Ratio Worksheet
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MFM 2PLesson Six: Proportions
What do you remember about similarity?
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MFM 2PLesson Six: Proportions
How do you think this applies to triangles?
9 m15 m
8 m
7.5
m
4 m18 m
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MFM 2PLesson Six: Proportions
6 m 4 m
3 m 1.5 m
These triangles as similar. What must the unknown side lengths for triangle “B” be?
BA
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MFM 2PLesson Six: Proportions
7.5cm6 cm
2.1 cm3.15 cm
Are these triangles similar? How do you know?
11.25 cm 9 cm
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MFM 2PLesson Six: Proportions
In conclusion, you can tell if triangles are similar if:
• They have all the same angles• Their side lengths are proportional