Unit 7 - Lesson 4 Direct Variation

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Unit 7 - Lesson 4 Direct Variation Learning Goals: I can determine if a linear relation shows Direct Variation I can create a rule for a linear relation and use it to solve questions. 13

Unit 7 - Lesson 4 Direct Variation Warm Up Determine the Rate of Change for the following graph. Find to two points on the line. Calculate the 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑅𝑖𝑠𝑒 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑅𝑢𝑛 What does the Rate of Change mean in this example?

Unit 7 - Lesson 4 Direct Variation Warm Up Can we use the Rate of Change to create a rule? How much money will be in your Savings Account after two and half years? (use the rule)

Unit 7 - Lesson 4 Direct Variation Warm Up How much money was in the Savings Account just before we began? How long would it take to earn $950? (Interpolate or Extrapolate?) How much money will you have in your Savings Account after 11.5 months? (Interpolate or Extrapolate?)

Unit 7 - Lesson 4 Direct Variation Have a look at the data in this table. Is this a linear relation? Notice that when we double the values in one column... … they double in the other column. We can say that the Canadian Dollar is Directly Proportional to the New Zealand Dollar.

Unit 7 - Lesson 4 Direct Variation The following data was collected from Centre in the Square Let’s find the First Differences! What does it mean? Can we create a rule for this relation? Lets use the rule to determine the cost of 20 tickets.

Unit 7 - Lesson 4 Direct Variation The following data was collected from Centre in the Square Is the number of tickets you purchase Directly Proportional to the cost? - Can you double the values in one line to get the values in another? Does the data pass through the origin (0,0)? Does the data show a linear relation?

Unit 7 - Lesson 4 Direct Variation Which of the following graphs show Direct Variation? What does this squiggle mean? - Can you double the values at one point to get the values in another? Does the data pass through the origin (0,0)? Does the data show a linear relation?

Unit 7 - Lesson 4 Direct Variation Which of the following graphs show Direct Variation? - Can you double the values at one point to get the values in another? Does the data pass through the origin (0,0)? Does the data show a linear relation?

Unit 7 - Lesson 4 Direct Variation Learning Goals: I can determine if a linear relation shows Direct Variation I can create a rule for a linear relation and use it to solve questions. Homework Page 207 # 1 - 6