Unit 7 - Lesson 2 Rate of Change – Part 1 15 Learning Goals: I can determine the rate of change of a linear relation using a graph. I can determine what the rate of change represents in a problem.

Warm Up Determine if the following tables of value represent a linear relation. Unit 7 - Lesson 2 Rate of Change – Part 1 XY Time (min.) Height (m) Linear or Not LinearLinear or Not Linear

Distance-Time Graphs Have you heard of a Distance-Time Graph before? Distance-Time Graphs can tell us a lot about how fast the object is moving! Unit 7 - Lesson 2 Rate of Change – Part 1

Distance-Time Graphs Do you remember the Formula for speed? Speed = Unit 7 - Lesson 2 Rate of Change – Part 1

Speed = We’re going to need two points on our graph. (, ) The change in Distance is__________. The change in Time is _________. Speed = (don’t forget units!) Unit 7 - Lesson 2 Rate of Change – Part 1

Using graphs Another way to say is is called the Rate of Change of the line. This tells us how steep the line is. Unit 7 - Lesson 2 Rate of Change – Part 1

Determine the rate of change of line A, B, and C. Unit 7 - Lesson 2 Rate of Change – Part 1 Does it matter which two points we use in lines B and C?

Time (min.)Distance (km) A student recorded the following data on a bike ride. Unit 7 - Lesson 2 Rate of Change – Part 1 Graph the data and determine the speed of the cyclist.

A student recorded the following data on a bike ride. Unit 7 - Lesson 2 Rate of Change – Part 1 How long will it take the cyclist to ride 5km? What is the cyclist’s speed in km/h?

Jack runs 100m in 14 seconds. Sarah runs 150m in 19 seconds. Who is faster? Unit 7 - Lesson 2 Rate of Change – Part 1

Learning Goals: I can determine the rate of change of a linear relation using a graph. I can determine what the rate of change represents in a problem. Homework  Page 199#1, 2, 4-6 Unit 7 - Lesson 2 Rate of Change – Part 1