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We are learning to:- Finding connections between different words. (Which PLT skills?) -Accurately find the gradient of a 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.
CELVTIAR
LOIRZHONTA
RICFFDEEEN
EXAMPLEDITDIONA can be rearranged to make ADDITION
Vertical
Horizontal
Difference
STARTER
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner Which ones are you
using?PLT Skills
EXTENSION
TASK
1) 2) 3)
4)
Write the HCF of 8 and 20
Round 6.754 to 2d.p.
Write the LCM of 4 and 5
Write the first five prime numbers.
5)
Write 0.4 as a fraction.
6)
Find of £35 7
4
7)
30% of 70 miles 8)
Simplify:8a – 3b – 6a – 5b
9)
Solve:6x + 7 = 37
Find the product of prime factors of 20.
= 6.75 = 4 = 20
= 2, 3, 5, 7, 11=
410
=2 5
= £20
= 21miles= 2a – 8b x = 5
= 2 x 2 x 5 = 2 x 52
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?GRADIENT OF A LINE
EXAMPLES 1
1) 2)
Find the gradient for each of the lines below:
Slope of a lineGRADIENT
y - change
x - change=
rise run
3) 4)
3
6 GRADIENT =63
GRADIENT = 2 5
3 GRADIENT =35
3
6
The line slopes down from left to right, so it’s
a negative gradient.
GRADIENT =-63
GRADIENT = -2
3
2
The line slopes down from left to right, so it’s
a negative gradient.
GRADIENT =-23
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?GRADIENT OF A LINEEXAMPLES 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
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT Skills
Which ones are you using?
TASK (GRADE C) 1)
GRADIENT OF A LINE
Find the gradient of each of the lines a to j below:
2) Find the gradient of each of the lines a to f below:
213
-3
1
-2
13
-
5
-5
15
34
-
2 3
-1
12
-4
1
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT Skills
Which ones are you using?
EXTENSION (GRADE C)
GRADIENT OF A LINE
Plot the following points on some axes and find their respective gradients:
(a)(0,2) and (-2, 0)
(b)(-3, 0) and (0, 5)
(c)(-6, 1) and (-3,5)
(d)(2, -2) and (-1, 4) 1 2 3-1-2-3-4-5-6-7
12345
-1-2-3
6
GRADIENT =53
GRADIENT = 1
GRADIENT =43
GRADIENT = -2
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?
MINI-PLENARY
Plot the co-ordinates (3,2) and (-1,-1) and find the gradient of the line which joins them together.
GRADIENT OF A LINE
4
3
GRADIENT =y - change
x - change
GRADIENT =34
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 gradient of a line.
What grade are we
working at?
PLENARY ACTIVITYASSESSING UNDERSTANDING QUESTION
Students in a class were asked to predict they-value for an x-value of 10 for the line below:
Rob says ‘The gradient is 1, so the line is y = x + 2. When x = 10, y = 12.’Rob is wrong.Explain why and work out the correct y-value.
3
6
GRADIENT =y - change
x - change
GRADIENT =63
GRADIENT = 2
y = 2 x 10 + 2
y = 22
Draw your brain
What have you learnt?
In your brain, write or draw everything you can remember about finding the gradient of a 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