We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately...

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We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim high! LESSON OBJECTIVES Effective Participat or Self Manager Independen t Enquirer Creative Thinker Team Worker Reflectiv e Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curric ular links? www.mistrymaths.co.uk

Transcript of We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately...

Page 1: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

We are learning to:- Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (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

Page 2: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

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

As a creative thinker, develop your own Mathematical anagrams as above.

RUACBSTT

PMUTILLE

EGNTERI

EXAMPLEDITDIONA can be rearranged to make ADDITION

Subtract

Multiple

Integer

Page 3: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

Find 40% of 60km

STARTER

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

EXTENSION

TASK

Expand and simplify:

1) 2) 3) 4)

Write as a single power:9 x 9

5) 6) 7) Write 0.3 as a percentage

3t(t + 2) – 2t(t – 4)

-

= 3t + 6t

2 2t + 8t 2

= t + 14t

2

1

2

7

2

3of £36

Find: 10% of £23

Write as a single power:3 ÷ 3 6 5 9 5

Page 4: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?RATIO OF AMOUNTS

EXAMPLES(a) (b)Divide £32 in the ratio 5:3 Divide 77kg in the ratio 2:4:5

5 + 3Add parts = 8

5 8 of

: means ‘to’ in Mathematics

£32 =

÷

x

£20

Parts

3 8 of £32 =

÷

x

£12

Parts

2 + 4 + 5 Add parts = 11

2 11 of 77kg =

÷

x

14kg

4 11 of 77kg =

÷

x

28kg

5 11 of 77kg =

÷

x

35kg

Page 5: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?TASK 1 (GRADE C)

EXTENSION (GRADE C)

TASK 2 (GRADE C)

RATIO OF AMOUNTS

Divide the following amounts according to the given ratios.a) 400 g in the ratio 2 : 3 b) 280 kg in the ratio 2 : 5c) 500 in the ratio 3 : 7 d) 1 km in the ratio 19 : 1e) 5 hours in the ratio 7 : 5 f) £100 in the ratio 2 : 3 : 5g) £240 in the ratio 3 : 5 : 12h) 600 g in the ratio 1 : 5 : 6i) £5 in the ratio 7 : 10 : 8j) 200 kg in the ratio 15 : 9 : 1

Divide the following amounts according to the given ratios.a) 30 g in the ratio 2 : 3 b) 42 kg in the ratio 2 : 5c) 80 in the ratio 3 : 7 d) 40 km in the ratio 19 : 1e) 48 hours in the ratio 7 : 5 f) £100 in the ratio 2 : 3 : 5g) £140 in the ratio 3 : 5 : 12h) 96 g in the ratio 1 : 5 : 6i) 75 miles in the ratio 7 : 10 : 8j) 200 kg in the ratio 15 : 9 : 1

A supermarket aims to stock branded goods and their own goods in the ratio 2 : 3.They stock 500 kg of breakfast cereal.a) What percentage of the cereal stock is branded?b) How much of the cereal stock is their own?

Page 6: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?

MINI-PLENARY

RATIO OF AMOUNTS

The ratio of female to male members of a tennis club is about 2 : 7. The total number of members of the club is 108. How many members are

female and how many are male?Take the Maths out of the question

Divide 108 in the ratio 2:7

2 + 7Add parts = 9

2 9 of 108 =

÷

x

24 female

7 9 of 108 =

÷

x

84 male

Page 7: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

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 divide amounts into given ratios.

What grade are we

working at?

Page 8: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

PLENARY ACTIVITY

TRUE FALSE

Stand Up Remain Seated

$60 in the ratio 5:1

Answer: $50 : $10

Page 9: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

PLENARY ACTIVITY

Stand Up Remain Seated

TRUE FALSE

34kg in the ratio 4:3

Answer: 20kg : 15kg

Page 10: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

PLENARY ACTIVITY

Stand Up Remain Seated

TRUE FALSE

99m in the ratio 6:5

Answer: 54cm : 45cm

Page 11: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about dividing amounts into given ratios. 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?

Page 12: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

.

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

Page 13: We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

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