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We are learning to:- Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve one and two step equations. (Grades F-D)
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.
MERT
REXPENSSIO
TEANQIUO
EXAMPLEDITDIONA can be rearranged to make ADDITION
Term
Expression
Equation
STARTER
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner Which ones are you
using?PLT Skills
EXTENSION
TASK
Find the inverse operation of the following below:
(a) +5
(b) - 7
2(c)
(d) X 9
Find the inverse operation of the following below:
(a) (b) 2x 3x
- 5
+ 7
x 2
÷ 9
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS INTRODUCTION
SALOON SNAP
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS INTRODUCTION
YEE-HAA YEE-HAA oror YAHOOYAHOO-9 +9
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS INTRODUCTION
YEE-HAA YEE-HAA oror YAHOOYAHOO
x8 √8
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS INTRODUCTION
YEE-HAA YEE-HAA oror YAHOOYAHOO10 10
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS INTRODUCTION
YEE-HAA YEE-HAA oror YAHOOYAHOO
x6 -6
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS INTRODUCTION
YEE-HAA YEE-HAA oror YAHOOYAHOO
x3√x3
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS INTRODUCTION
6kg 15kg21kg
1) 2)
Work out the value of one gold bar Work out the value of one gold bar
You may not know this but you have just solved an equation
3g = 21
=
÷ 3 ÷ 3
g = 7kg
You may not know this but you have just solved an equation
=
g = 15+ 6- 6 - 6
g = 9kg
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS
EXAMPLES
1) 𝑥 + 7 = 10 2) 3)
Solve each of the following equations:
𝑥 - 9 = 2 4)
𝑥4
=11- 7 - 7𝑥 = 3
+ 9 + 9𝑥 = 11x 4 x 4𝑥 = 44
5 𝑥 = 40÷ 5 ÷ 5𝑥 = 8
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS
(a) x + 6 = 10
(b) w – 5 = 9
(c) y + 3 = 8
(d) p – 9 = 1
(e) 2x = 10
(f) 3x = 18
(g) = 8
(h) 4x = 10
(i) = 1
(j) x + 9 = 10
(k) r – 7 = 21
(l) = 2
z3
q4
s6
TASK 1 (GRADE F) EXTENSION 1 (GRADE E) 1) Here are three equations.(a) x + 6 = 12(b) x – 1 = 5(c) x + 5 = 9Give a reason why each one could be the odd one out.
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?
3) Set up an equation to represent the following. Use y for the variable.Six apples cost £1.80. How much is one apple?
x = 4
w = 14
y = 5
p = 10
x = 5
x = 6
z = 24
x = 2.5
q = 4
x = 1
r = 28
s = 12
Only one with even numbers
Only one with minus signOnly one with answer not 6
x + 3 = 17x = 14
6y = 180y = 30
30p
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS EXAMPLESSolve each of the following equations:
2) 2 𝑥 + 8 = 20 8 𝑥 - 7 = 49- 8 - 8
2 𝑥 = 12÷ 2 ÷ 2𝑥 = 6
1) 3) 3( 𝑥 + 5) = 363𝑥 +15 = 36+ 7 + 7
8 𝑥 = 56÷ 8 ÷ 8𝑥 = 7
-15 - 15
3 𝑥 = 21÷ 3 ÷ 3𝑥 = 7
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS
TASK 2 (GRADE E) EXTENSION 2 (GRADE D)
(a) 2x + 4 = 6
(b) 2t + 7 = 13
(c) 3x + 10 = 16
(d) 4y + 15 = 23
(e) 2x – 8 = 10
(f) 4t – 3 = 17
(g) 5x – 6 = 24
(h) 7 – x = 3
(i) 12 – 3y = 6
(j) 2k + 8 = 4
(a) 2(x + 5) = 16
(b) 5(x – 3) = 20
(c) 3(t + 1) = 18
(d) 4(2x + 5) = 44
(e) 2(3y – 5) = 14
(f) 5(4x + 3) = 135
(g) 4(3t – 2) = 88
(h) 6(2t + 5) = 42
(i) 2(3x + 1) = 11
(j) 4(5y – 2) = 42
(k) 5(2x – 1) = –45
(l) 7(3y + 5) = –7
EXTENSION 2 (GRADE C)
x = 1
t = 3
x = 2
y = 2
x = 9
t = 5
x = 6
x = 4
y = 2
k = -2
x = 3
x = 7
t = 5
x = 3
y = 4
x = 6
t = 8
t = 1
x = 1.5
y = 2.5
x = -4
y = -2
3.25
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS EXAMPLESSolve each of the following equations:
1) 2) 𝑥3
+ 4 = 13 𝑥 + 43
= 13- 4 - 4𝑥
3= 9
x 3 x 3𝑥 = 27
x 3 x 3
𝑥 + 4 = 39- 4 - 4𝑥 = 35
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?SOLVING EQUATIONS TASK 3 (GRADE E & D)
EXTENSION 3 (GRADE D)
(a) + 7 = 15
(b) + 3 = 5
(c) – 5 = 2
(d) + 3 = 12
(e) – 3 = 5
(f) = 3
(g) = 3
(h) = 1
(i) = 10
(j) = 5
1) A teacher read out the following to her class:
“I am thinking of a number. I subtract 5 from it and then
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?
(b) Bryn misunderstood the instructions and got the
operations the wrong way round. What number did
Bryn think the teacher started with?
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
10 delegates and they each get two doughnuts.
How many doughnuts were delivered?
x = 24
t = 10
w = 21
x = 72
m = 56
k = 5
h = 28
w = 5
x = 35
y = 33
33
48
25
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?MINI-PLENARY
SOLVING EQUATIONS
BETSY
Must add 1 on both sides
Must divide by 2 on both sides
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 solve one and two step equations.
What grade are we
working at?
PLENARY ACTIVITY
TRUE FALSE
Stand Up Remain Seated
Solve: 8 - 5 = 43𝑥The answer is = 6 𝑥
PLENARY ACTIVITY
Stand Up Remain Seated
TRUE FALSE
Solve: -2 + 7 = -3𝑥The answer is = -5 𝑥
PLENARY ACTIVITY
Stand Up Remain Seated
TRUE FALSE
Solve: 4( - 5) = 4𝑥The answer is = -4 𝑥
Draw your brain
What have you learnt?
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.
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