1. http://www.youtube.com/watch?v=0PADeY4GVmo&fe ature=related

2. How to store grain?

3. Lets explore some possible containers 15 minutes Once you have decided on a container. You need to measure how much grain it can hold. Once you have decided on a container. You need to measure how much grain it can hold.

4. Share Ideas: Pros and cons

5. Hoppers

6. What do you have?

7. Generalising

8. Going into business as a hopper designer. Class effort Farmer Doyle has the cuboid section of his hopper which holds 125m 3 of wheat. He wants to add this funnel section to the cuboid section. How much wheat will the total hopper hold? Ignoring the small how at the bottom that allowing an opening 166.7m 3

9. Going into business as a hopper designer. 1) This hopper is waiting in the warehouse to be sold. a) What is the volume of the hopper? b) The price of this hopper is £15 for every m 2 of grain the hopper can contain how much should this hopper be sold for? 2) a) What is the clearance of the hopper outlet to the ground? b) The hopper has a width of 12m. The cuboid section can how 1800m 3 of flour, what amount of the flour can the hopper hold in total? 1a) 249.6m 3 b) £3744 1a) 249.6m 3 b) £3744 2a) 3m b) 2052m 3 2a) 3m b) 2052m 3

10. Going into business as a hopper designer. Farmer Giles wants the pyramid section of his square based hopper to hold 561cm 3 what dimensions could the hopper be? Flo the flour farmer wants her hopper to be no taller than 20metres so that it is not taller than her barn but she needs it to hold 895m 3. what dimensions could the hopper be?

11. What mathematics have we used? What skills have you practised? What do you think where the intended learning objectives?

12. Intended objectives: To design different nets To calculate volume of simple shapes To calculate volume of complex shapes To use formula To create formula To solve complex geometrical problems To use trial and error To consider functionality and apply mathematics to real life problems.

13. Can we gernalise that? We know how to generalise for the volume of cuboids. Lets explore the a prism shape.

14. You have done so well in inventing a gernal formula, a company is willing to pay to desgn hoppers,

15. Rough lesson plan. Introduce idea of a hopper. How to find its volume. Why is it pointed?? Why do we need to know it volume???? Splitting it up into lots of trapezoidal prisms. The smaller the trapezium the more accurate we can be. Can we generalise this........... Not really......why would we need to generalise??? New approach we know how to calculate the volume of a cuboids how does that compare to a pyramid. (or cylinder and cone) experiment trial and error. Compare the formula. Can we generalise...........

17. Tank Connection Liquid Hopper Bottom Storage Capacity Calculator PROGRAM INPUT EnglishMetric Diameter:ftm Eave Height:ftm Hopper:° Outlet:incm Outlet Length: incm Clearance:ftm Freeboard:incm

18. Mechanical parts A general term for a chute with additional width and depth for temporary storagechute Hopper (particulate collection container)Hopper (particulate collection container), a large container used for dust collection Part of a combine harvestercombine harvester A storage container used to dispense granular materials through the use of gravity, sometimes assisted by mechanical agitation, an example is a paintball loaderpaintball loader Tank Capacity Calculators for finding Tank Volume and Tank Size Dry BulkDry Bulk - Tank Capacity Calculator for figuring the tank size and tank volume of dry bulk storage tanks including: skirted tanks with door access, drive through skirted silo, elevated tanks with leg support and elevated tanks with structure support. Liquid Flat BottomLiquid Flat Bottom - Capacity Calculator for figuring the tank size and tank volume of Liquid Flat Bottom Tanks. Liquid Slope Bottom - Capacity Calculator for figuring the tank size and tank volume of Liquid Slope Bottom Storage Tanks. Liquid Slope Bottom Liquid Hopper BottomLiquid Hopper Bottom - Capacity Calculator for figuring the tank size and tank volume of Liquid Hopper Bottom Storage Tanks. Horizontal TankHorizontal Tank - Capacity Calculator for figuring the tank size and tank volume of Horizontal Storage Tanks. Liquid Dish Bottom - Capacity Calculator for figuring the tank size and tank volume of Liquid Dish Bottom Storage Tanks. Liquid Dish Bottom