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MFM 2P. Review for Quiz. Which represents a linear relationship? Which represents a quadratic relationship?. MFM 2P. Review for Quiz. MFM 2P. Review for Quiz. MFM 2P. Review for Quiz. MFM 2P. Review for Quiz. MFM 2P. Review for Quiz. Vertex: Axis: Optimal Value: X-Intercepts:
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MFM 2P Review for Quiz Which represents a linear relationship? Which represents a quadratic relationship?
MFM 2P Review for Quiz
MFM 2P Review for Quiz
MFM 2P Review for Quiz
MFM 2P Review for Quiz
MFM 2P Review for Quiz Vertex: Axis: Optimal Value: X-Intercepts: Y-Intercepts: Opening:Step Pattern:
MFM 2P Review for Quiz Vertex: Axis: Optimal Value: X-Intercepts: Y-Intercepts: Opening:Step Pattern:
MFM 2P Review for Quiz Rise: Run: Y-Intercept: Independent Variable: Dependent Variable:
MFM 2P Review for Quiz Rise: Run: Y-Intercept: Independent Variable: Dependent Variable:
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
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
MFM 2P Lesson Six: Proportions • What does “Proportional” mean?
MFM 2P 2 1 2 4 4 8
MFM 2P 2 4 4 5
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
MFM 2P Lesson Six: Proportions What is a ratio? A ratioshows the relationship between two numbers with the same unit. Example: What is the ratio of boys to girls in this class?
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?
MFM 2P Lesson Six: Proportions Which are proportional? 8 : 16 15% 4 : 5 50%
MFM 2P Lesson Six: Proportions Which are proportional? 3 : 5 60% 6 : 10
MFM 2P Lesson Six: Proportions What is a mullet?
MFM 2P Lesson Six: Proportions How could you compare these mullets?
MFM 2P Lesson Six: Proportions How could you compare these mullets?
MFM 2P Lesson Six: Proportions Which Mullet is more mullet-y? 12 cm 0.000013 miles 33 cm 0.00051 miles
MFM 2P Lesson Six: Proportions What would it mean if two mullets had the same mullet ratio? We can compare to OR to
MFM 2P Lesson Six: Proportions Are these mullets the same? Compare their Mullet Ratios! 12 cm 33 cm 8 cm 22 cm
MFM 2P Lesson Six: Proportions Complete Mullet Ratio Worksheet
MFM 2P Lesson Six: Proportions What do you remember about similarity?
MFM 2P Lesson Six: Proportions How do you think this applies to triangles? 15 m 7.5 m 18 m 9 m 4 m 8 m
MFM 2P Lesson Six: Proportions These triangles as similar. What must the unknown side lengths for triangle “B” be? 6 m 4 m A B 3 m 1.5 m
MFM 2P Lesson Six: Proportions Are these triangles similar? How do you know? 9 cm 11.25 cm 7.5cm 6 cm 2.1 cm 3.15 cm
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