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)