Bridging the Gap

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Problem-solving with money and area and perimeter - PowerPoint PPT Presentation

L3. L4. Problem-Solving Pupils’ Version. Bridging the Gap . Problem-Solving: Area and Perimeter with Money . to. Note to Pupils. … So you survived the FRIENDLY PROBLEM-SOLVING AREA AND PERIMETER! … You came out tops on the FRIENDLY PROBLEM-SOLVING!!

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Presentation Transcript

L3

L4

Problem-SolvingPupils’ Version

Bridging the Gap

Problem-Solving: Area and Perimeter with Money .

to

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???

• Practise your expertise as a problem-cracker of brain-frying 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 Where To Next?

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How to use this resource

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Which One Are You ???

R U a Problem-Coward ?

… or …

R U a Problem-Cracker?

PROBLEM!

R U PC?

Problem

Cracker ?

R

U

a

Picture it

Underline it

Calculate it

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

You have already checked out the basics in School

- Area of rectangles

- Perimeter of rectangles

- Money

How to become aPROBLEM-CRACKERin 4 Easy Steps!

R U P C ?

Underline it! … find the clues

Picture it! … add? subtract? multiply? divide?

… use a number line to help

Calculate it! … work it out !

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

• 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!

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

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?

Flooring £240

Click

for

solution

to

problem

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

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?

Running Total

Total was £240

Large blinds £720

Total so far £960

Click

for

solution

to

problem

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

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?

Running Total

Total was £960

Small blinds £126

Total so far £1086

Click

for

solution

to

problem

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

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!)

Running Total

Total was £1086

Front wall paint £41

Total so far £1127

Click

for

solution

to

problem

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

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!)

Running Total

Total was £1127

3 walls – paint £99

Total so far £ 1226

Click

for

solution

to

problem

R U P C ?

1m

1m

2.5m

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

• ITEM 6: STORE CUPBOARD
• A strong wall cupboard is built to house the classroom set of laptops:
• rectangular pieces of wood:
• The front (for the 2 doors)
• The left and right sides
• The top and bottom
• 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?

Click

for

solution

to

problem

Running Total

Total was £1226

Cupboard £61

Total so far £1287

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

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?

Click

for

solution

to

problem

Running Total

Total was £1287

Whiteboard £228

Total so far £1515

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

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?

Click

for

solution

to

problem

Running Total

Total was £1515

Chairs £276

Total so far £1791

R U P C ?

STEP 1

?

STEP 3

?

STEP 2

?

STEP 4

?

Underline It !

Calculate It !

Picture It! !

Time to Total

Click

for

solution

to

Problem

TOTAL COST OF THE SPANISH ROOM

There were 8 major items in this fiendish challenge!

Did you work out their total?

If you were correct, then you are a -

FIENDISH PROBLEM-SOLVER WITH MONEY, AREA AND PERIMETER!

Running Total

Flooring £240

Large blinds £720

Small blinds £126

Front wall paint £41

3 walls – paint £99

Cupboard £61

Whiteboard £228

Chairs £276

Total £1791

R U P C ?

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?PRESS ESCAPE TO RETURN TO MENU