Bridging the Gap Problem-Solving Teachers’ Version

Teacher Notes This 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).

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 Content  Slides 4 - 6Recap of the R U PC method for easy problem-solving Slides  Slides The Fiendish Problems! Slides  Slide 17Where To Next? Slide 17 (TO GO TO LINK: HOLD DOWN CONTROL AND CLICK ON YOUR CHOICE)

Which One Are You ??? R U a P roblem -C oward ? … or … R U a P roblem -C racker ? PROBLEM !

STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Read it ! Underline It ! Picture It! ! Calculate It ! R U PC?

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 ! How to become a PROBLEM-CRACKER in 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!

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 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! STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it !

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? Now Your Turn! 1 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Carpet£120 Click for solution to problem

Running Total Carpet£120 Large blinds£600 Total so far£720 Now Your Turn! 2 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to problem 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 Total was£720 Small blinds£108 Total so far£828 Now Your Turn! 3 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to problem 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£828 Front wall paint £37 Total so far£865 Now Your Turn! 4 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to problem 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£865 3 walls – paint £28 Total so far£893 Now Your Turn! 5 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to problem 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£893 Cupboard £47 Total so far£940 Now Your Turn! 6 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to problem 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? 3m 1m 2m

Running Total Total was£940 Whiteboard£162 Total so far £1102 Now Your Turn! 7 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to problem 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?

Running Total Total was £1102 Tables£600 Total so far £1702 ITEM 8: THE TABLES Only £600 left! But Senora Mendez still needs new tables. There are 3 special offers: 5 for £ for £ 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? Now Your Turn! 8 STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to problem

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 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! Time to Total STEP 1 ? STEP 2 ? STEP 3 ? STEP 4 ? Underline It ! Picture It! ! Calculate It ! Read it ! Click for solution to Problem

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