Transcript Slide 1

Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
Self
Manager
Team
Worker
Which ones are you using?
PLT Skills
LESSON OBJECTIVES
Always aim
high!
We are learning to:
- Be reflective learners on previous learning outcomes.
(Which PLT skills?)
- Accurately solve one and two step equations.
(Grades F-D)
Where are we in
our journey?
AUTHOR
www.mistrymaths.co.uk
Real life
cross/curricular
links?
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
BRAIN IN GEAR
PLT Skills
Self
Manager
Team
Worker
Which ones are you using?
EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
MERT
Term
REXPENSSIO
Expression
TEANQIUO
Equation
EXTENSION
Develop your own Mathematical anagrams as above as a
creative thinker.
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
STARTER
Find the inverse operation of the following below:
(a) +5
-5
(c)  2
x2
(b) - 7
+7
(d) X 9
÷9
EXTENSION
Find the inverse operation of the following below:
(a)
x
(b)
x
3
Team
Worker
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TASK
2
Self
Manager
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
INTRODUCTION
Self
Manager
Team
Worker
Which ones are you using?
SALOON SNAP
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
INTRODUCTION
Self
Manager
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YEE-HAA or YAHOO
-9
Team
Worker
+9
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
INTRODUCTION
Self
Manager
Which ones are you using?
YEE-HAA or YAHOO
x8
Team
Worker
√8
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
INTRODUCTION
Self
Manager
Which ones are you using?
YEE-HAA or YAHOO
 10
Team
Worker
10
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
INTRODUCTION
Self
Manager
Which ones are you using?
YEE-HAA or YAHOO
x6
Team
Worker
-6
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
INTRODUCTION
Self
Manager
Which ones are you using?
YEE-HAA or YAHOO
√x
3
Team
Worker
3
x
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
INTRODUCTION
1)
Self
Manager
Team
Worker
Which ones are you using?
2)
=
21kg
Work out the value of one gold bar
You may not know this but you have
just solved an equation
3g = 21
÷3
15kg
Work out the value of one gold bar
You may not know this but you have
just solved an equation
g + 6 = 15
-6
÷3
g = 7kg
=
6kg
g
-6
= 9kg
Creative
Thinker
Effective
Participator
PLT Skills
Independent
Enquirer
Reflective
Learner
SOLVING EQUATIONS
Self
Manager
Which ones are you using?
EXAMPLES
Solve each of the following equations:
1) 𝑥 + 7 = 10
-7
𝑥
2) 𝑥 - 9 = 2
-7
= 3
+9
𝑥
+9
= 11
𝑥
3)
4
= 11
x4
x4
𝑥 = 44
Team
Worker
4)
5𝑥 = 40
÷5
÷5
𝑥 = 8
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
SOLVING EQUATIONS
Self
Manager
Team
Worker
Which ones are you using?
TASK 1 (GRADE F)
EXTENSION 1 (GRADE E)
(a) x + 6 = 10 x = 4
1) Here are three equations.
(a) x + 6 = 12 Only one with even numbers
(b) x – 1 = 5 Only one with minus sign
(c) x + 5 = 9 Only one with answer not 6
Give a reason why each one could be the
odd one out.
(b) w – 5 = 9 w = 14
(c) y + 3 = 8
y=5
(d) p – 9 = 1
p = 10
x=5
(e) 2x = 10
(f) 3x = 18
z
(g)
=8
3
(h) 4x = 10
q
(i)
=1
4
(j) x + 9 = 10
x=6
z = 24
x = 2.5
q=4
x=1
(k) r – 7 = 21 r = 28
s
s = 12
(l)
=2
6
2) Set up an equation to represent the
following. Use x for the variable. My
sister is 3 years older than I am. She is
17 years old. How old am I?
x + 3 = 17
x = 14
3) Set up an equation to represent the
following. Use y for the variable.
Six apples cost £1.80. How much is one
6y = 180
apple?
y = 30
30p
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
EXAMPLES
Solve each of the following equations:
2) 8𝑥 - 7 = 49
1) 2𝑥 + 8 = 20
-8
+7
-8
+7
Self
Manager
Team
Worker
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3) 3(𝑥 + 5) = 36
3𝑥 + 15 = 36
-15
- 15
2𝑥
= 12
8𝑥
= 56
÷2
÷2
÷8
÷8
𝑥
= 21
= 6
𝑥
3𝑥
= 7
÷3
÷3
𝑥
= 7
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
SOLVING EQUATIONS
TASK 2 (GRADE E)
Self
Manager
Team
Worker
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EXTENSION 2 (GRADE D) EXTENSION 2 (GRADE C)
(a) 2x + 4 = 6 x = 1
(a) 2(x + 5) = 16 x = 3
(b) 2t + 7 = 13 t = 3
(b) 5(x – 3) = 20 x = 7
(c) 3x + 10 = 16 x = 2
(c) 3(t + 1) = 18 t = 5
(d) 4y + 15 = 23 y = 2
(d) 4(2x + 5) = 44 x = 3
(e) 2x – 8 = 10 x = 9
(e) 2(3y – 5) = 14 y = 4
(f) 4t – 3 = 17 t = 5
(f) 5(4x + 3) = 135 x = 6
(g) 5x – 6 = 24 x = 6
(g) 4(3t – 2) = 88 t = 8
(h) 7 – x = 3 x = 4
(h) 6(2t + 5) = 42 t = 1
(i) 12 – 3y = 6 y = 2
(i) 2(3x + 1) = 11 x = 1.5
(j) 2k + 8 = 4 k = -2
(j) 4(5y – 2) = 42 y = 2.5
(k) 5(2x – 1) = –45 x = -4
(l) 7(3y + 5) = –7 y = -2
3.25
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
SOLVING EQUATIONS
EXAMPLES
Solve each of the following equations:
𝑥
𝑥+4
+
4
=
13
2)
= 13
1) 3
3
-4
𝑥
3
x3
𝑥
-4
=9
x3
𝑥 + 4 = 39
-4
x3
= 27
x3
𝑥
-4
= 35
Self
Manager
Team
Worker
Which ones are you using?
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
Self
Manager
Team
Worker
Which ones are you using?
PLT Skills
SOLVING EQUATIONS
EXTENSION 3 (GRADE D)
TASK 3 (GRADE E & D)
(a)
+ 7 = 15 x = 24
1) A teacher read out the following to her class:
“I am thinking of a number. I subtract 5 from it and then
(b)
+3=5
t = 10
(c)
–5=2
w = 21
(d)
+ 3 = 12 x = 72
divide the result by 4. The answer is 7. What number
did I think of to start with?”
(a) What was the number the teacher thought of? 33
(b) Bryn misunderstood the instructions and got the
operations the wrong way round. What number did Bryn
(e)
–3=5
(f)
=3
k=5
(g)
=3
h = 28
m = 56
think the teacher started with?
48
2) At a conference, doughnuts are delivered for the
mid-morning break. The waiter takes five off the tray
before taking them to the delegates. There are
(h)
=1 w=5
(i)
= 10 x = 35
(j)
=5
y = 33
10 delegates and they each get two doughnuts.
How many doughnuts were delivered?
25
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
SOLVING EQUATIONS
Self
Manager
Team
Worker
Which ones are you using?
MINI-PLENARY
Must add 1 on both sides
Must divide by 2 on both sides
BETSY
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
DISCOVERY
Self
Manager
Team
Worker
Which ones are you using?
LINK BACK TO OBJECTIVES
- Accurately solve one and two step
equations.
What grade
are we
working at?
PLENARY ACTIVITY
Solve: 8𝑥 - 5 = 43
The answer is 𝑥 = 6
TRUE
Stand Up
FALSE
Remain Seated
PLENARY ACTIVITY
Solve: -2𝑥 + 7 = -3
The answer is 𝑥 = -5
TRUE
Stand Up
FALSE
Remain Seated
PLENARY ACTIVITY
Solve: 4(𝑥 - 5) = 4
The answer is 𝑥 = -4
TRUE
Stand Up
FALSE
Remain Seated
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about solving
one and two step equations. It can be a skill or a reflection, or something
else that might be prominent in your brain.
Where are we
in our
journey?
What grade
are we
working at?
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
How well do you understand the task?
.
I don’t
understand
I nearly
understand
www.mistrymaths.co.uk
I fully
understand
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
www.mistrymaths.co.uk