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MFM 2P Review for Quiz xy First Differences -310 Second Differences -28 6 04 12 20 3-2 xy First Differences -316 Second Differences -26 0 0-2 10 26 316.

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Presentation on theme: "MFM 2P Review for Quiz xy First Differences -310 Second Differences -28 6 04 12 20 3-2 xy First Differences -316 Second Differences -26 0 0-2 10 26 316."— Presentation transcript:

1 MFM 2P Review for Quiz xy First Differences -310 Second Differences -28 6 04 12 20 3-2 xy First Differences -316 Second Differences -26 0 0-2 10 26 316 Which represents a linear relationship? Which represents a quadratic relationship?

2 MFM 2P Review for Quiz

3 MFM 2P Review for Quiz

4 MFM 2P Review for Quiz

5 MFM 2P Review for Quiz

6 MFM 2P Review for Quiz Vertex: Axis: Optimal Value: X-Intercepts: Y-Intercepts: Opening: Step Pattern:

7 MFM 2P Review for Quiz Vertex: Axis: Optimal Value: X-Intercepts: Y-Intercepts: Opening: Step Pattern:

8 MFM 2P Review for Quiz Rise: Run: Y-Intercept: Independent Variable: Dependent Variable:

9 MFM 2P Review for Quiz Rise: Run: Y-Intercept: Independent Variable: Dependent Variable:

10 MFM 2P Minds On Convert the following (Use your charts!): 135mm = m12g = kg 20 yards = m 207 inches = feet 12 miles = km 0.25 pounds = kg

11 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

12 MFM 2P Lesson Six: Proportions What does “Proportional” mean?

13 MFM 2P 2 4 4 8 1 2

14 2 4 4 5

15 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

16 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?

17 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?

18 MFM 2P Lesson Six: Proportions Which are proportional? 8 : 16 4 : 5 50% 15%

19 MFM 2P Lesson Six: Proportions Which are proportional? 3 : 5 6 : 10 60%

20 MFM 2P Lesson Six: Proportions What is a mullet?

21 MFM 2P Lesson Six: Proportions How could you compare these mullets?

22 MFM 2P Lesson Six: Proportions How could you compare these mullets?

23 MFM 2P Lesson Six: Proportions 0.00051 miles 0.000013 miles 12 cm 33 cm Which Mullet is more mullet-y?

24 MFM 2P Lesson Six: Proportions What would it mean if two mullets had the same mullet ratio?

25 MFM 2P Lesson Six: Proportions Are these mullets the same? Compare their Mullet Ratios! 12 cm 33 cm 8 cm 22 cm

26 MFM 2P Lesson Six: Proportions Complete Mullet Ratio Worksheet

27 MFM 2P Lesson Six: Proportions What do you remember about similarity?

28 MFM 2P Lesson Six: Proportions How do you think this applies to triangles? 9 m 15 m 8 m 7.5 m 4 m 18 m

29 MFM 2P Lesson Six: Proportions 6 m4 m 3 m 1.5 m These triangles as similar. What must the unknown side lengths for triangle “B” be? B A

30 MFM 2P Lesson Six: Proportions 7.5cm 6 cm 2.1 cm 3.15 cm Are these triangles similar? How do you know? 11.25 cm 9 cm

31 MFM 2P Lesson Six: Proportions In conclusion, you can tell if triangles are similar if: They have all the same angles Their side lengths are proportional


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