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Bridging the Gap

L3. L4. Problem-Solving Teachers’ Version. Bridging the Gap . Problem-Solving: Area and Perimeter with Money . to. Teacher Notes This resource is …. A ‘Fiendish’ resource based on the two easier ‘Friendly’ resources - ‘Problem-Solving with Money’

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Bridging the Gap

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  1. L3 L4 Problem-SolvingTeachers’ Version Bridging the Gap Problem-Solving: Area and Perimeter with Money . to

  2. Teacher NotesThis resource is … • A ‘Fiendish’ resource based on the two easier ‘Friendly’ resources - ‘Problem-Solving with Money’ - ‘Problem-Solving with Area and Perimeter’. It is assumed that these 2 resources have already been worked through with the pupils and that the 4-step problem-solving approach, R U PC, has also been understood. The aim of this resource is to combine the two areas of area / perimeter and money in order to solve more complex problems than those offered in the separate resources. • A simple guide to problem-solving The easy 4-step approach to solving tricky problems about area and perimeter and also money comprises: 1. Read it! 2. Underline it! 3. Picture it! 4. Calculate it! • Flexible Suitable both for whole-class teaching and individual pupil revision. The mouse-activated steps allow time for whole-class interactions. • User-friendly Stepwise examples are included for interactive teaching and the mouse-controlled steps allow full control over the speed of working through the activity. • A pupils’ version is also available as a follow-up activity (see Main Menu).

  3. 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? (TO GO TO LINK: HOLD DOWN CONTROL AND CLICK ON YOUR CHOICE) How to use this resource You can control how fast or slow you go using: FORWARD: OR OR Enter OR Left-hand mouse BACK: OR OR Back Space TO START POWERPOINT: F5 OR Slide Show > View Show TO RETURN TO MENU: Escape

  4. Which One Are You ??? R U a Problem-Coward ? … or … R U a Problem-Cracker? PROBLEM!

  5. R U PC? Problem Cracker ? R U a Picture it Read it Underline it Calculate it STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Underline It ! Calculate It ! Picture It! ! Read it !

  6. 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! How to become aPROBLEM-CRACKERin 4 Easy Steps! R U P C ? Read it! … what’s it about? Underline it! … find the clues Picture it! … add? subtract? multiply? divide? … use a number line to help Calculate it! … work it out !

  7. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! • Senora Mendez, the Spanish teacher, has the worst room in the school! • The classroom is going to be renovated – carpet, blinds, paint, even a 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 ?

  8. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 1 ITEM 1: Floor Carpet Carpet roll is £4 per square metre. The classroom is 6 metres long and 5 metres wide and 2m high. What is the cost of the carpet? Carpet £120 Click for solution to problem R U P C ?

  9. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 2 ITEM 2: 2 LARGE WINDOW BLINDS Each blind is £15 per square metre. The 2 large windows are 400cm by 500cm each. What is the cost of the two blinds? Running Total Carpet £120 Large blinds £600 Total so far £720 Click for solution to problem R U P C ?

  10. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 3 ITEM 3: 2 SMALL WINDOW BLINDS Each blind is £9 per square metre. The 2 small windows are 200cm by 300cm each. What is the cost of the two blinds? Running Total Total was £720 Small blinds £108 Total so far £828 Click for solution to problem R U P C ?

  11. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 4 ITEM 4: PAINT FOR FRONT WALL The front wall is 6m long and 2m high. Deelux Matt Emulsion costs £18.50 per tin. Each tin covers 6m² of wall. How many tins? Total cost of paint? Running Total Total was £828 Front wall paint £37 Total so far £865 Click for solution to problem R U P C ?

  12. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 5 ITEM 5: PAINT FOR 3 WALLS The back wall is 6m long and 2m high. Both side walls are 5m long and 2m high. Cheepo Eggshell Emulsion costs £7 per tin. Each tin covers 8m² of wall. How many tins? Total cost of paint? Running Total Total was £865 3 walls – paint £28 Total so far £893 Click for solution to problem R U P C ?

  13. 1m 2m STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? 3m Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 6 • ITEM 6: STORE CUPBOARD • A corner cupboard is built to store the Spanish books and tapes: • There are 3 rectangular • pieces of wood: • The front (for the 2 doors) • The right side • The top • The wood is £4 per square metre. The 50 screws cost 5p each. The handles are 25p each. • What is the total cost of cupboard? Click for solution to problem Running Total Total was £893 Cupboard £47 Total so far £940 R U P C ?

  14. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 7 ITEM 7: THE WHITEBOARD 1 rectangular whiteboard (250cm x 100cm): £99. Protective edging strip for whiteboard: £9 per metre. What is the total cost of the whiteboard and strip? Click for solution to problem Running Total Total was £940 Whiteboard £162 Total so far £1102 R U P C ?

  15. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! Underline It ! Calculate It ! Picture It! ! Now Your Turn! 8 ITEM 8: THE TABLES Only £600 left! But Senora Mendez still needs new tables. There are 3 special offers: 5 for £105 10 for £220 15 for £300 The Head Teacher will only order 30 tables if they don’t cost more than £600. Can she afford the tables? If so, how much does she spend? Click for solution to problem Running Total Total was £1102 Tables £600 Total so far £1702 R U P C ?

  16. STEP 1 ? STEP 3 ? STEP 2 ? STEP 4 ? Read it ! 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 Carpet £120 Large blinds £600 Small blinds £108 Front wall paint £37 3 walls – paint £28 Cupboard £47 Whiteboard £162 Tables £600 Total £1702 R U P C ?

  17. 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

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