Transcript
Page 1: Bridging the Gap Problem-Solving Pupils’ Version

Bridging the Gap Bridging the Gap

Problem-SolvingProblem-SolvingPupils’ VersionPupils’ Version

Page 2: Bridging the Gap Problem-Solving Pupils’ Version

Note to PupilsNote to Pupils… … So you survived the So you survived the

FRIENDLY PROBLEM-SOLVING AREA AND PERIMETER!FRIENDLY PROBLEM-SOLVING AREA AND PERIMETER!

… … You came out tops on theYou came out tops on theFRIENDLY PROBLEM-SOLVING!!FRIENDLY PROBLEM-SOLVING!!

BUT …BUT … are you ready to face are you ready to face THIS FIENDISH ACTIVITY??? THIS FIENDISH ACTIVITY???

This resource will help you to…This resource will help you to…- 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!

Page 3: Bridging the Gap Problem-Solving Pupils’ Version

How to use this resourceHow to use this resourceYou can control how fast or slow you go using:

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ContentContent

Slides 4 - 6 Recap of the R U PC method for easy problem-solvingSlides 7 - 16 The Fiendish Problems!

Slide 17 Where To Next?

(TO GO TO LINK: HOLD DOWN CONTROL AND CLICK ON YOUR CHOICE)

Page 4: Bridging the Gap Problem-Solving Pupils’ Version

Which One Are You ???Which One Are You ???

R UR U a a PProblemroblem-C-Coward oward ??… … or …or …

R UR U a a PProblemroblem-C-Crackerracker??

PROBLEM!

Page 5: Bridging the Gap Problem-Solving Pupils’ Version

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Read it ! Underline It !

Picture It! !

Calculate It !

R U PC?R U PC?

Page 6: Bridging the Gap Problem-Solving Pupils’ Version

R U P CR U P C ? ?RRead it! ead it! … what’s it about?… what’s it about?

UUnderline it! nderline it! … find the clues… find the clues

PPicture it! icture it! … add? subtract? multiply? divide?… add? subtract? multiply? divide?

… … use a number line to helpuse a number line to help

CCalculate it! alculate it! … work… work it out ! it out !

How to become How to become aa PROBLEM-CRACKERPROBLEM-CRACKER

inin 4 Easy Steps! 4 Easy Steps!You have already checked out the basics in School Booster about: -

- Area of rectangles - Perimeter of rectangles - Money

Now you’re ready to try out some

problems about all three!

Page 7: Bridging the Gap Problem-Solving Pupils’ Version

Senorita Rojo, the Head of Spanish, is organising a total Senorita Rojo, the Head of Spanish, is organising a total makeover of his Spanish classroom! makeover of his Spanish classroom!

Flooring, roller blinds, wallpaper, and a brand new Flooring, roller blinds, wallpaper, and a brand new whiteboard! whiteboard!

Can you work out the total cost?Can you work out the total cost?

You will need to:You will need to:

• Work out the cost for each itemWork out the cost for each item• Work out the total at the endWork out the total at the end• Get a pen and paper to keep track!Get a pen and paper to keep track!

Now Your Turn!Now Your Turn!

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

Page 8: Bridging the Gap Problem-Solving Pupils’ Version

ITEM 1: FlooringITEM 1: Flooring

Laminate flooring is £7.50 per Laminate flooring is £7.50 per square metre. square metre.

The classroom is 8 metres long and The classroom is 8 metres long and 4 metres wide and 2m high.4 metres wide and 2m high.

What is the cost of the flooring?What is the cost of the flooring?

Now Your Turn! 1Now Your Turn! 1

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

Flooring£240Click

for solution

to problem

Page 9: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Total was £240Large blinds £720

Total so far £960

Now Your Turn! 2Now Your Turn! 2

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

Click for

solution to

problem

ITEM 2: 3 LARGE WINDOW BLINDSITEM 2: 3 LARGE WINDOW BLINDS

Each blind is £8 per square metre. Each blind is £8 per square metre.

The 3 large windows are 500cm by The 3 large windows are 500cm by 600cm each.600cm each.

What is the cost of the three blinds?What is the cost of the three blinds?

Page 10: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Total was £960Small blinds £126

Total so far £1086

Now Your Turn! 3Now Your Turn! 3

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

Click for

solution to

problem

ITEM 3: 2 SMALL WINDOW BLINDSITEM 3: 2 SMALL WINDOW BLINDS

Each blind is £21 per square metre. Each blind is £21 per square metre.

The 2 small windows are 200cm by The 2 small windows are 200cm by 150cm each.150cm each.

What is the cost of the two blinds?What is the cost of the two blinds?

Page 11: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Total was £1086Front wall paint

£41

Total so far £1127

Click for

solution to

problem

Now Your Turn! 4Now Your Turn! 4

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

ITEM 4: PAINT FOR FRONT WALLITEM 4: PAINT FOR FRONT WALL

The front wall is 8m long and 2m The front wall is 8m long and 2m high. high.

Deelux Matt Emulsion costs £10.25 Deelux Matt Emulsion costs £10.25 per tin. Each tin covers 5m² of wall. per tin. Each tin covers 5m² of wall.

How many tins? Total cost of paint?How many tins? Total cost of paint? (Remember – you have to buy whole tins of paint!)

Page 12: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Total was £11273 walls – paint £99

Total so far £ 1226

Click for

solution to

problem

Now Your Turn! 5Now Your Turn! 5

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

ITEM 5: PAINT FOR 3 WALLSITEM 5: PAINT FOR 3 WALLS

The back wall is 8m long and 2m high.The back wall is 8m long and 2m high.Both side walls are 4m long and 2m Both side walls are 4m long and 2m

high.high.

Cheepo Eggshell Emulsion costs £16.50 Cheepo Eggshell Emulsion costs £16.50 per tin. Each tin covers 6m² of wall. per tin. Each tin covers 6m² of wall.

How many tins? Total cost of paint?How many tins? Total cost of paint? (Remember – you have to buy whole tins of

paint!)

Page 13: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Total was £1226Cupboard £61

Total so far £1287

Click for

solution to

problem

Now Your Turn! 6Now Your Turn! 6

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

ITEM 6: STORE CUPBOARDITEM 6: STORE CUPBOARD

A strong wall cupboard is built to house A strong wall cupboard is built to house the classroom set of laptops:the classroom set of laptops:

It’s made from fiveIt’s made from fiverectangular pieces of wood:rectangular pieces of wood:-The front (for the 2 doors)The front (for the 2 doors)-The left and right sides-The top and bottom

The wood is £6 per square metre. The 30 The wood is £6 per square metre. The 30 screws cost 5p each. The handles are screws cost 5p each. The handles are £1.25 each.£1.25 each.

What is the total cost of cupboard?What is the total cost of cupboard?

2.5m

1m

1m

Page 14: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Total was £1287Whiteboard £228

Total so far £1515

Click for

solution to

problem

Now Your Turn! 7Now Your Turn! 7

STEP 1

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STEP 2

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STEP 3

?

STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

ITEM 7: THE WHITEBOARDITEM 7: THE WHITEBOARD

1 rectangular whiteboard (250cm x 1 rectangular whiteboard (250cm x 150cm): £195.150cm): £195.

Protective edging strip for Protective edging strip for whiteboard: £4.25 per metre. whiteboard: £4.25 per metre.

What is the total cost of the What is the total cost of the whiteboard and strip?whiteboard and strip?

Page 15: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Total was £1515Chairs £276

Total so far £1791

Click for

solution to

problem

ITEM 8: THE TABLESITEM 8: THE TABLES

Only £280 left! But Senor Rojo is Only £280 left! But Senor Rojo is determined to buy 30 new chairs!determined to buy 30 new chairs!

There are 3 special offers:There are 3 special offers:5 for £50 6 for £57 3 for £27.605 for £50 6 for £57 3 for £27.60

He can only order 30 chairs if it He can only order 30 chairs if it doesn’t cost more than £280. doesn’t cost more than £280.

Can he afford the tables? If so, how Can he afford the tables? If so, how much does she spend?much does she spend?

Now Your Turn! 8Now Your Turn! 8

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

Page 16: Bridging the Gap Problem-Solving Pupils’ Version

Running Total

Flooring£240

Large blinds £720Small blinds £126Front wall paint

£413 walls – paint £99Cupboard £61Whiteboard £228Chairs £276

Total £1791

Click for

solution to

Problem

TOTAL COST OF THE SPANISH ROOMTOTAL COST OF THE SPANISH ROOM

There were 8 major items in this There were 8 major items in this fiendish challenge!fiendish challenge!

Did you work out their total?Did you work out their total?

If you were correct, then you are a - If you were correct, then you are a -

FIENDISH PROBLEM-SOLVER WITH FIENDISH PROBLEM-SOLVER WITH MONEY, AREA AND PERIMETER!MONEY, AREA AND PERIMETER!

Time to TotalTime to Total

STEP 1

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STEP 2

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STEP 3

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STEP 4

?Underline It !

Picture It! ! Calculate It !

Read it !

Page 17: Bridging the Gap Problem-Solving Pupils’ Version

Now U R PC with Area and Now U R PC with Area and Perimeter and Money…Perimeter and Money…

Why not have a go at Why not have a go at Revising Ratio and Proportion?Revising Ratio and Proportion?

Or are you ready to try …Or are you ready to try … THE BUS STOP METHOD OF DIVISION? THE BUS STOP METHOD OF DIVISION?

PRESS ESCAPE TO RETURN TO MENUPRESS ESCAPE TO RETURN TO MENU


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