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Transcript of We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately...
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
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
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
5÷
2
7
2
3of £36
Find: 10% of £23
Write as a single power:3 ÷ 3 6 5 9 5
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
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?
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
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?
PLENARY ACTIVITY
TRUE FALSE
Stand Up Remain Seated
$60 in the ratio 5:1
Answer: $50 : $10
PLENARY ACTIVITY
Stand Up Remain Seated
TRUE FALSE
34kg in the ratio 4:3
Answer: 20kg : 15kg
PLENARY ACTIVITY
Stand Up Remain Seated
TRUE FALSE
99m in the ratio 6:5
Answer: 54cm : 45cm
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?
.
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