Post on 28-Mar-2015
We are learning to:- Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately solve simultaneous equations where the coefficients of one variable is the same. (Grade B)
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
1) 𝑥 + 6 = 15
STARTER
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner Which ones are you
using?PLT Skills
EXTENSION
TASK
2) 3)
Solve each of the following equations:
5) 6) 7)
𝑥 - 4 = 9 2 𝑥 + 4 = 224)
𝑥7
= 5
𝑥5
+ 6 = 8 𝑥 + 65
= 8 7 𝑥 - 2 = 47
- 6 - 6𝑥 = 9
+ 4 + 4𝑥 = 13x 7 x 7𝑥 = 35
- 4 - 4
2 𝑥 = 18÷ 2 ÷ 2𝑥 = 9
+ 2 + 2
7 𝑥 = 49÷ 7 ÷ 7𝑥 = 7
- 6 - 6𝑥5
= 2x 5 x 5𝑥 = 10
x 5 x 5
𝑥 + 6 = 40- 6 - 6𝑥 = 34
Solve 8(𝑥 + 3) = 64
8 + 24 = 64𝑥 8 = 40𝑥 𝑥 = 5
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?Solving Simultaneous Equations
EXAMPLES
Solve the following simultaneous equations:
(a) 5x + y = 22 2x - y = 6
Signs different (+)+
7x = 28 x = 4
Substitute in x = 4
8 - y = 6 y = 2
(b) 6x + y = 15 4x + y = 11
Signs different (-)-
2x = 4 x = 2
Substitute in x = 2
12 + y = 15 y = 3
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner Which ones are you
using?PLT Skills
TASK (GRADE B)
Simultaneous Equations
1) 2) 3) 4)
5) 6) 7) 8)
9) 10) 11) 12)
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner Which ones are you
using?PLT Skills
EXTENSION (GRADE B)
Simultaneous Equations
1) 2) 3) 4)
5) 6) 7) 8)
9) 10) 11) 12)
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?MINI-PLENARY
Simultaneous Equations
Work out the value of one apple and one banana
9a + 3b = 105 3a + 3b = 51
Signs different (-)-
6a = 54 a = 9
Substitute in a = 9
27 + 3b = 51
b = 8 3b = 24
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 simultaneous equations where the coefficients of one variable is the same.
What grade are we
working at?
PLENARY ACTIVITYSolve the following simultaneous equation:
4x - 3y = 7 x + 3y = 13
Signs different (+)+
5x = 20 x = 4
Substitute in x = 4
16 - 3y = 7
y = 3 - 3y = -9
Draw your brain
What have you learnt?
In your brain, write or draw everything you can remember about solving simultaneous equations where the coefficients of one variable is the same. 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
What have you learnt?
In your brain, write or draw everything you can remember about solving simultaneous equations where the coefficients of one
variable is the same. It can be a skill or a reflection, or something else that might be prominent in your brain.
Draw your brain
What grade 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
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT SkillsWhich ones are you
using?
Plenary Activity
On your post it notes…
Think about how you can improve your
work.
WWW (What Went Well)
EBI (Even Better If)