We are learning to:- Finding connections between different words. (Which PLT skills?) -Accurately find the equation of a straight line. (Grade C)

Always aim high!LESSON OBJECTIVES

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?

AUTHORWhere are we in

our journey?

Real life cross/curricular

links?www.mistrymaths.co.uk

BRAIN IN GEAR

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

Work out the following Mathematical anagrams:

TASK

EXTENSION

Develop your own Mathematical anagrams as above as a creative thinker.

ARIDTENG

NITTPEERC

NOIRIG

EXAMPLEDITDIONA can be rearranged to make ADDITION

Gradient

Intercept

Origin

STARTER

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

EXTENSION

TASK1)Write down the equations for the lines below:

1)Work out the gradient for the lines below:

Gradient = 1

6

6

5

5 36

6

3

Gradient = -1 Gradient = Gradient = -2

2

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?EQUATION OF A LINE

EXAMPLES

1) 2)

Find the equation for each of the lines below:

GRADIENT =84

GRADIENT = 2

EQUATION OF A LINE

Gradient(slope)

y – intercept(where the line cuts the y-axis)

4

8

y - intercept = 3

12

6

GRADIENT = 612

GRADIENT = 1

y - intercept = 1

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?EQUATION OF A LINE

EXAMPLES

3) 4)

Find the equation for each of the lines below:

EQUATION OF A LINE

Gradient(slope)

y – intercept(where the line cuts the y-axis)

3

9

The line slopes down from left to right, so it’s

a negative gradient.

GRADIENT =-93

GRADIENT = -3

y - intercept = -3 10

8

The line slopes down from left to right, so it’s

a negative gradient.

5

GRADIENT = -810

GRADIENT = -4

y - intercept = 3

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?EXAMPLES 2

1) 2)

Find the gradient for each of the lines below:

3) 4)

21

GRADIENT =12

2

6

The line slopes down from left to right, so it’s

a negative gradient.

GRADIENT =-62

GRADIENT = -3

6

There is no x-change so the value of this is zero.

GRADIENT =60

GRADIENT = Undefined

8 There is no y-change so the value of this is zero.

GRADIENT = 08

GRADIENT = 0No slope

EQUATION OF A LINE

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

TASK (GRADE C) 1) Find the equation of the lines below:

EQUATION OF A LINE

(a) (b) (c)

(d) (e) (f)

y = 3x + 5

y = 0.2x - 5

y = x + 3

y = -2x - 3 y = -3x -5

y = -0.25x + 1

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

EXTENSION

EQUATION OF A LINE

1) What is the equation of a line through the point (1,3) that has a slope of -2?

2) Write the equation of a line that is parallel to y = 2x + 3 and passes through the points (6,2).

3) Write the equation of a line that is perpendicular to y = ½x – 6 that passes through the point (6,4)

4) Write the equation of the perpendicular bisector that goes through the line segment with end points of A (2,1) and B (6, -3) ?

y = 3x + 2

y = 2x - 10

y = -2x + 16

y = x - 5

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?

MINI-PLENARY

Find the equation of a line for each of the following CAB companies.

EQUATION OF A LINE

Compare and discuss your answers. What do they mean?

4

8

GRADIENT =84

GRADIENT = 2

y - intercept = 2

12

6 2

GRADIENT = 612

GRADIENT = 1

y - intercept =0

DISCOVERY

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

LINK BACK TO OBJECTIVES

- Accurately find the equation of a straight line.

What grade are we

working at?

4

PLENARY ACTIVITYASSESSING UNDERSTANDING QUESTION

What is an equation for the line that passes through the coordinates (4,5) and (8, 3)?

1 2 3 4 5 6 7 8

1

2

3

5

4

2

2

GRADIENT = -2 4

GRADIENT = -1

6

7

The line slopes down from left to right, so it’s

a negative gradient.

y - intercept = 7

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about finding the equation of a straight line. It can be a skill or a reflection, or

something else that might be prominent in your brain.

What grade are we

working at?

Where are we in our

journey?

.

How well do you understand the task?

I don’t understand

I nearly understand

I fully understand

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

SELF ASSESSMENT

Plenary Activity

www.mistrymaths.co.uk

SELF ASSESSMENT

Plenary Activity

On your post it notes…

Think about how you can improve your

work.

WWW (What Went Well)

EBI (Even Better If)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

www.mistrymaths.co.uk