we are learning to: - finding connections between different words. (which plt skills?) -accurately...
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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