Transcript Problem Solving: Area and Perimeter with Money: pupils

Problem-Solving
Pupils’ Version
Bridging the Gap
Note to Pupils
… So you survived the
FRIENDLY PROBLEM-SOLVING AREA AND PERIMETER!
… You came out tops on the
FRIENDLY PROBLEM-SOLVING!!
BUT … are you ready to face THIS FIENDISH ACTIVITY???
This resource will help you to…
- Practise your expertise as a problem-cracker of brainfrying challenges about area AND perimeter AND money !
Remember ….
You can walk these challenges! Why?
Because you’ve learned the easy R U P C way to solve even
the hardest problem!
Content
 Slides 4 - 6 Recap of the R U PC method for easy problem-solving
 Slides 7 - 16 The Fiendish Problems!
 Slide 17
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Which One Are You ???
R U a Problem-Coward ?
… or …
PROBLEM!
R U a Problem-Cracker?
R U PC?
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
STEP 4
Calculate It !
?
How to become
a already checked
You have
out the basics in School
PROBLEM-CRACKER
Booster about: in 4 Easy Steps!
- Area of rectangles
- Perimeter of rectangles
- Money
RU PC?
Now you’re ready to try
about
Read it! … what’s it about? out someallproblems
three!
Underline it! … find the clues
Picture it! … add? subtract? multiply? divide?
… use a number line to help
Calculate it! … work it out !
Now Your Turn!
Senorita Rojo, the Head of Spanish, is organising a total
makeover of his Spanish classroom!
Flooring, roller blinds, wallpaper, and a brand new whiteboard!
Can you work out the total cost?
You will need to:
• Work out the cost for each item
• Work out the total at the end
• Get a pen and paper to keep track!
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
STEP 4
Calculate It !
?
Now Your Turn! 1
ITEM 1: Flooring
Laminate flooring is £7.50 per square
metre.
The classroom is 8 metres long and 4
metres wide and 2m high.
What is the cost of the flooring?
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
Flooring
Click
for
solution
to
problem
£240
STEP 4
Calculate It !
?
Now Your Turn! 2
ITEM 2: 3 LARGE WINDOW BLINDS
Each blind is £8 per square metre.
The 3 large windows are 500cm by
600cm each.
What is the cost of the three blinds?
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
Running Total
Click
Total was
£240
for
Large blinds
£720
solution
Total so far
£960
to
problem
STEP 4
Calculate It !
?
Now Your Turn! 3
ITEM 3: 2 SMALL WINDOW BLINDS
Each blind is £21 per square metre.
The 2 small windows are 200cm by
150cm each.
What is the cost of the two blinds?
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
Running Total
Click
Total was
£960
for
Small blinds
£126
solution
Total so far
£1086
to
problem
STEP 4
Calculate It !
?
Now Your Turn! 4
ITEM 4: PAINT FOR FRONT WALL
The front wall is 8m long and 2m high.
Deelux Matt Emulsion costs £10.25 per
tin. Each tin covers 5m² of wall.
How many tins? Total cost of paint?
(Remember – you have to buy whole tins of paint!)
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
Running Total
Click
Total was
£1086
for
Front wall paint £41
solution
Total so far
£1127
to
problem
STEP 4
Calculate It !
?
Now Your Turn! 5
ITEM 5: PAINT FOR 3 WALLS
The back wall is 8m long and 2m high.
Both side walls are 4m long and 2m high.
Cheepo Eggshell Emulsion costs £16.50 per
tin. Each tin covers 6m² of wall.
How many tins? Total cost of paint?
(Remember – you have to buy whole tins of paint!)
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
Running Total
Click
Total was
£1127
for
3 walls – paint £99
solution
Total so far
£ 1226
to
problem
STEP 4
Calculate It !
?
Now Your Turn! 6
ITEM 6: STORE CUPBOARD
A strong wall cupboard is built to house the
1m
classroom set of laptops:
It’s made from five
rectangular pieces of wood: 1m
-The front (for the 2 doors)
-The left and right sides
-The top and bottom
2.5m
The wood is £6 per square metre. The 30 screws
cost 5p each. The handles are £1.25 each.
What is the total cost of cupboard?
STEP 1
Read
? it !
STEP 2
Underline It !
?
Click
for £1226
Total was
Cupboard
£61
solution
Total so far
to £1287
problem
Running Total
STEP 3
Picture
? It! !
STEP 4
Calculate It !
?
Now Your Turn! 7
ITEM 7: THE WHITEBOARD
1 rectangular whiteboard (250cm x
150cm): £195.
Protective edging strip for whiteboard:
£4.25 per metre.
What is the total cost of the whiteboard
and strip?
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
Click
for £1287
Total was
Whiteboard
£228
solution
Total so to
far
£1515
problem
Running Total
STEP 4
Calculate It !
?
Now Your Turn! 8
ITEM 8: THE TABLES
Only £280 left! But Senor Rojo is
determined to buy 30 new chairs!
There are 3 special offers:
5 for £50
6 for £57
3 for £27.60
He can only order 30 chairs if it doesn’t
cost more than £280.
Can he afford the tables? If so, how
much does she spend?
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
Click
for £1515
Total was
Chairs
solution£276
Total so to
far
£1791
problem
Running Total
STEP 4
Calculate It !
?
Time to Total
TOTAL COST OF THE SPANISH ROOM
Running Total
There were 8 major items in this fiendish Flooring
Click £240
Large blinds
£720
challenge!
Did you work out their total?
If you were correct, then you are a FIENDISH PROBLEM-SOLVER WITH
MONEY, AREA AND PERIMETER!
STEP 1
Read
? it !
STEP 2
Underline It !
?
STEP 3
Picture
? It! !
for £126
solution £41
£99
£61
to £228
Problem£276
Small blinds
Front wall paint
3 walls – paint
Cupboard
Whiteboard
Chairs
Total
£1791
STEP 4
Calculate It !
?
Now U R PC with Area and
Perimeter and Money…
Why not have a go at
Revising Ratio and Proportion?
Or are you ready to try …
THE BUS STOP METHOD OF DIVISION?
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