draw the graph y = 3x - 2 write down the equation of a line which is parallel to y = 4x + 5 with a...

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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 = What is the gradient of the line x + y Draw the graph 2x + 3y = 12

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Page 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

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

Page 2: 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

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)

Page 3: 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

Modelling with Straight Line GraphsOil 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

http://illuminations.nctm.org/LessonDetail.aspx?ID=L298

Page 4: 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

Modelling with Straight Line GraphsOil Changes and Engine Repairs

Page 5: 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

Modelling with Straight Line GraphsOil Changes and Engine Repairs

http://illuminations.nctm.org/LessonDetail.aspx?ID=L298

http://illuminations.nctm.org/LessonDetail.aspx?ID=L298

Page 6: 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

Modelling with Straight Line GraphsBike Weight and Maximum Height

Page 7: 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

Modelling with Straight Line GraphsBike Weight and Maximum Height

Page 8: 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

Modelling with Straight Line GraphsWeights and Drug Doses

Page 9: 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

Modelling with Straight Line GraphsWeights and Drug Doses

Page 10: 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

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

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