1. Draw the graph y = 3x - 2 Write down the equation of a line which is parallel to y = 4x + 5 with a reason Write down the equation of a line which is steeper than y = 3x – 2 with a reason What is the gradient of the line joining the points (2,3) and (6,13)? What is the equation of the line which passes through (0,5) and (4,13)? What is the equation of the line which passes through (3,8) and (6,20)? What is the gradient of the line y = 3x + 4? What is the gradient of the line x + y = 6? Draw the graph 2x + 3y = 12

2. Learning Objectives 1. Pupils should know how to construct a linear model for a set of real life data 2. Pupils should have an idea as to the Social Implications and the uses of modelling. Learning outcomes This will be a successful lesson for the pupils if: 1. All pupils can draw a line of best fit to fit some real life data and find the equation of the line (Level 7) 2. Most pupils will be able to use the equation of the line of best fit to predict a missing value (Level 8) 3. Some pupils can also interpret the equation of the line of best fit with reference to the context. (Level E)

3. Modelling with Straight Line Graphs Oil Changes and Engine Repairs The table below displays data that relate the number or oil changes per year and the cost of engine repairs. http://illuminations.nctm.org/LessonDetail.aspx?ID=L298

4. Modelling with Straight Line Graphs Oil Changes and Engine Repairs

5. Modelling with Straight Line Graphs Oil Changes and Engine Repairs http://illuminations.nctm.org/LessonDetail.aspx?ID=L298

6. Modelling with Straight Line Graphs Bike Weight and Maximum Height

7. Modelling with Straight Line Graphs Bike Weight and Maximum Height

8. Modelling with Straight Line Graphs Weights and Drug Doses

9. Modelling with Straight Line Graphs Weights and Drug Doses

10. Draw the graph y = 4x - 5 Write down the equation of a line which is parallel to y = 2x + 3 with a reason Write down the equation of a line which is steeper than y = 5x – 6 with a reason What is the gradient of the line joining the points (2,5) and (6,7)? What is the equation of the line which passes through (0,3) and (3,18)? What is the equation of the line which passes through (2,8) and (5,14)? What is the gradient of the line y = -2x + 4? What is the gradient of the line 3x + y = 6? Draw the graph 3x + 5y = 15