Transcript Ratio one known part C grade

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PLT Skills
LESSON OBJECTIVES
Always aim
high!
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)
Where are we in
our journey?
AUTHOR
www.mistrymaths.co.uk
Real life
cross/curricular
links?
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BRAIN IN GEAR
PLT Skills
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EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
SLIME
Miles
PUTIN
Input
TOOR
Root
EXTENSION
As a creative thinker, develop your own Mathematical anagrams
as above.
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STARTER
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TASK
1) 1
4
5) 3
8
÷
2
2) Write as a
5
of £32
single power:
-2
9 x 97
Expand and simplify:
4t(t + 3) – 2t(t – 5)
2
4t 2 + 12t - 2t + 10t
2t2 + 22t
4) Find:
single power:
3 -4 ÷ 35
6) Find 80% of 20km
EXTENSION
=
=
3) Write as a
10% of £92
7) Write 0.1 as a
percentage
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PLT Skills CALCULATING WITH RATIO Which ones are you using?
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?
SQUASH : WATER
x7
: 5
4
?
28cl : 35cl
x7
Therefore, 35cl of water needs to be added 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?
WHITE : BLACK
x9
: 2
3
: 18litres
27litres
?
x9
Therefore, 27litres of Snow White needs to be mixed to make Squirrel Grey.
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Learner
Self
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PLT Skills CALCULATING WITH RATIO Which ones are you using?
EXTENSION (GRADE C)
TASK 1 (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?
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?
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RATIO OF AMOUNTS
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MINI-PLENARY
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?
FEMALE : MALE
x 17
3
51
: 8
: 136
?
x 17
Therefore, 136 members of the tennis club are male.
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DISCOVERY
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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
In a room, the ratio of men to women
is 7:2. If there are 42 men, there are
12 women.
TRUE
Stand Up
FALSE
Remain Seated
PLENARY ACTIVITY
In a box, the ratio of nails to screws
is 8:5. If there are 16 screws, there
are 10 nails?
TRUE
Stand Up
FALSE
Remain Seated
PLENARY ACTIVITY
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.
TRUE
Stand Up
FALSE
Remain Seated
What have you learnt?
Draw your brain
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.
Where are we
in our
journey?
What grade
are we
working at?
Positive
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Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
How well do you understand the task?
.
I don’t
understand
I nearly
understand
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I fully
understand
Positive
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Independent
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Responsible
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Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
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