We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately calculate with ratios when only one part of the information

We are learning to:- Finding connections between different words. (Which PLT skills?) -Accurately calculate with ratios when only one part of the information is known. (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

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

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

SLIME

PUTIN

TOOR

EXAMPLEDITDIONA can be rearranged to make ADDITION

Miles

Input

Root

Find 80% of 20km

STARTER


Self Manager


Creative Thinker

Team Worker


using?PLT Skills

EXTENSION

TASK

Expand and simplify:

1) 2) 3) 4)

Write as a single power:9 x 9

5) 6) 7) Write 0.1 as a percentage

4t(t + 3) – 2t(t – 5)

-

= 4t + 12t

2 2t + 10t 2

= 2t + 22t

2

1

4÷

2

5

3

8of £32

Find: 10% of £92

Write as a single power:3 ÷ 3 -2 7 -4 5


Self Manager


Creative Thinker

Team Worker

Reflective Learner


using?CALCULATING WITH RATIO EXAMPLES(a)A fruit drink is made by mixing lemon squash with water in the ratio 4:5.

How much water needs to be added to 28cl of lemon squash to make the drink?

(b)To make Squirrel Grey paint, you need to mix Snow White and Beetle Black together in a ratio of 3:2. How much Snow White will you need if you’re using 18 litres of Beetle Black?

x 75

4

SQUASH : WATER

28cl x 7

:

: ?35cl

Therefore, 35cl of water needs to be added to make the drink.

x 92

3

WHITE : BLACK

18litres

x 9:

: ?27litres

Therefore, 27litres of Snow White needs to be mixed to make Squirrel Grey.


Self Manager


Creative Thinker

Team Worker

Reflective Learner


using?TASK 1 (GRADE C) EXTENSION (GRADE C)1) In a room, the ratio of men to women is 4:1. If there are 20 men, how many women are there? 2) In a box, the ratio of nails to screws is 5:3. If there are 15 nails, how many screws are there? 3) An alloy consists of copper, zinc and tin in the ratios 1:3:4. If there is 10g of copper in the alloy, find the weights of zinc and tin. 4) In a shop the ratio of oranges to apples is 2:5. If there are 60 apples, how many oranges are there? 5) In a train the ratio of adults to children is 7:2. If there are 126 adults, how many children are there?

CALCULATING WITH RATIO

1) The ratio of male to female spectators at ice hockey games is 4 : 5. At the Steelers’ last match, 4500 men watched the match. What was the total attendance at the game?2) A teacher always arranged the content of each of his lessons to Year 10 as ‘teaching’ and ‘practising learnt skills’ in the ratio 2 : 3.a) If a lesson lasted 35 minutes, how much teaching would he do?b) If he decided to teach for 30 minutes, how long would the lesson be?3) A ‘good’ children’s book is supposed to have pictures and text in the ratio 17 : 8. In a book I have just looked at, the pictures occupy 23 pages.a) Approximately how many pages of text should this book have to be deemed a ‘good’children’s book?b) What percentage of a ‘good’ children’s book will be text?


Self Manager


Creative Thinker

Team Worker

Reflective Learner


using?

MINI-PLENARY

RATIO OF AMOUNTS

The ratio of female to male members of a tennis club is 3 : 8. The total number of females in the club is 51. How many members are male?

x 178

3

FEMALE : MALE

51 x 17

:

: ?136

Therefore, 136 members of the tennis club are male.

DISCOVERY


Self Manager


Creative Thinker

Team Worker


using?PLT Skills

LINK BACK TO OBJECTIVES

- Accurately calculate with ratios when only one part of the information is known.

What grade are we

working at?

PLENARY ACTIVITY

TRUE FALSE

Stand Up Remain Seated

In a room, the ratio of men to women is 7:2. If there are 42 men,

there are 12 women.

PLENARY ACTIVITY


TRUE FALSE

In a box, the ratio of nails to screws is 8:5. If there are 16 screws, there

are 10 nails?

PLENARY ACTIVITY


TRUE FALSE

An alloy consists of copper, zinc and tin in the ratios 2:3:5. If there is 20g of copper, there are 30g of

tin and 50g of zinc.

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about calculating with ratios when only one part of the information is known. 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


Documents

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately calculate with ratios when only one part of the information