We are learning to: - Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve one and two step equations. (Grades.

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

http://www.mistrymaths.co.uk/

BRAIN IN GEAR


Self Manager


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


Self Manager


Creative Thinker

Team Worker


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


Self Manager


Creative Thinker

Team Worker

Reflective Learner


using?SOLVING EQUATIONS INTRODUCTION

SALOON SNAP


Self Manager


Creative Thinker

Team Worker

Reflective Learner



YEE-HAA YEE-HAA oror YAHOOYAHOO-9 +9


Self Manager


Creative Thinker

Team Worker

Reflective Learner



YEE-HAA YEE-HAA oror YAHOOYAHOO

x8 √8


Self Manager


Creative Thinker

Team Worker

Reflective Learner



YEE-HAA YEE-HAA oror YAHOOYAHOO10 10


Self Manager


Creative Thinker

Team Worker

Reflective Learner




x6 -6


Self Manager


Creative Thinker

Team Worker

Reflective Learner




x3√x3


Self Manager


Creative Thinker

Team Worker

Reflective Learner



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


Self Manager


Creative Thinker

Team Worker

Reflective Learner


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


Self Manager


Creative Thinker

Team Worker

Reflective Learner



(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


Self Manager


Creative Thinker

Team Worker

Reflective Learner


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


Self Manager


Creative Thinker

Team Worker

Reflective Learner



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


Self Manager


Creative Thinker

Team Worker

Reflective Learner


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


Self Manager


Creative Thinker

Team Worker

Reflective Learner


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


Self Manager


Creative Thinker

Team Worker

Reflective Learner


using?MINI-PLENARY

SOLVING EQUATIONS

BETSY

Must add 1 on both sides

Must divide by 2 on both sides

DISCOVERY


Self Manager


Creative Thinker

Team Worker


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


TRUE FALSE

Solve: -2 + 7 = -3𝑥The answer is = -5 𝑥

PLENARY ACTIVITY


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


We are learning to: - Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve one and two step equations. (Grades.

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