we are learning to: - be reflective learners on previous learning outcomes. (which plt skills?)...

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We are learning to:- Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve simple linear inequalities and represent them on a number 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

1) 𝑥 + 3 = 10

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 - 7 = 11

2 𝑥 + 8 = 564)

𝑥5

= 9

𝑥9

+ 5 = 2 𝑥 + 59

= 2 6 𝑥 - 6 = 42

- 3 - 3𝑥 = 7

+ 7 + 7𝑥 = 18x 5 x 5𝑥 = 45

- 8 - 8

2 𝑥 = 48÷ 2 ÷ 2𝑥 = 24

+ 6 + 6

6 𝑥 = 48÷ 6 ÷ 6𝑥 = 8

- 5 - 5𝑥9

= -3x 9 x 9𝑥 = -27

x 9 x 9

𝑥 + 5 = 18- 5 - 5𝑥 = 13

Solve 4(𝑥 - 6) = 24

4 - 24 = 24𝑥 4 = 48𝑥 𝑥 = 12

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?SOLVING INEQUALITIES INTRODUCTION

What do you think each of these following conventions mean?

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?SOLVING INEQUALITIES

INTRODUCTIONWrite down the inequality that you think is represented by each diagram below:

0 1 2 3 4 5 0 1 2 3 4 5

-4 -3 -2 -1 0 1 5 6 7 8 9 10

-2 -1 0 1 2 3 -6 -2 2 6 10 14

(a) (b)

(c) (d)

(e) (f)

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?SOLVING INEQUALITIES EXAMPLESSolve the following inequalities and represent the solutions on a number line:1) 𝑥 + 8 < 11 3) 4) 2)

𝑥4

+ 7 > 2 𝑥 +

6 8- 8 - 8𝑥 < 3

- 11 - 11

2 𝑥 ≤ 7÷ 2 ÷ 2𝑥 ≤ 3.5

- 7 - 7𝑥4

> -5x 4 x 4𝑥 > -20

x 8 x 8

𝑥 + 6 ≥ 24- 6 - 6𝑥 ≥ 180 1 2 3 4 5

0 1 2 3 4 5 -22 -21 -20 -19 -18 -17 17 18 19 20 21 225) 3( 𝑥 + 7) < 453𝑥 +21 < 45

-21 - 21

3 𝑥 < 24÷ 3 ÷ 3𝑥 < 8

4 5 6 7 8 9

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?TASK 1 (GRADE C)

TASK 2 (GRADE C)

SOLVING INEQUALITIES

Solve the following inequalities:

Solve the following inequalities and represent the solutions on a number line:

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?TASK 1 ANSWERS (GRADE C) TASK 2 ANSWERS (GRADE C)

SOLVING INEQUALITIES

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?EXTENSION (GRADE C)

SOLVING INEQUALITIES

Solve the following inequalities and represent the solutions on a number line:

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?EXTENSION ANSWERS (GRADE C)

SOLVING INEQUALITIES

Solve the following inequalities and represent the solutions on a number line:

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?MINI-PLENARY

- 3y - 3y

4𝑦

SOLVING INEQUALITIES

Solve the following inequality and represent the solution on a number line:

6 ÷ 4 ÷ 4𝑦 < 1.5

0 0.5 1 1.5 2 2.5

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 simple linear inequalities and represent them on a number line.

What grade are we

working at?

PLENARY ACTIVITY

Solve the following inequality and represent the solution on a number line:

GRADE B STYLE QUESTION(Moving from Foundation to Higher)

SPLIT THE INEQUALITY IN TWO

- 1 - 1

-6 < 2𝑥÷ 2 ÷ 2

-3 < 𝑥- 1 - 1

2 𝑥 11÷ 2 ÷ 2𝑥 5.5

-4 -2 0 2 4 6

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about solving simple linear inequalities and representing them on a number 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

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