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http://www.youtube.com/watch?v=0PADeY4GVmo&feature=related. How to store grain?. Lets explore some possible containers. Once you have decided on a container. You need to measure how much grain it can hold. 15 minutes. Share Ideas: Pros and cons. Hoppers. What do you have?. Generalising.

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

  2. How to store grain?

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

  4. Share Ideas: Pros and cons

  5. Hoppers

  6. What do you have?

  7. Generalising

  8. Going into business as a hopper designer. Farmer Doyle has the cuboid section of his hopper which holds 125m3 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 166.7m3 Class effort

  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 m2 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 1800m3 of flour, what amount of the flour can the hopper hold in total? 2a) 3m b) 2052m3 1a) 249.6m3 b) £3744

  10. Going into business as a hopper designer. • Farmer Giles wants the pyramid section of his square based hopper to hold 561cm3 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 895m3. 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. ..........

  16. Mechanical parts A general term for a chute with additional width and depth for temporary storage Hopper (particulate collection container), a large container used for dust collection Part of a combine harvester A storage container used to dispense granular materials through the use of gravity, sometimes assisted by mechanical agitation, an example is a paintball loader Tank Capacity Calculators for finding Tank Volume and Tank Size Dry 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 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 Hopper Bottom - Capacity Calculator for figuring the tank size and tank volume of Liquid Hopper Bottom Storage Tanks. Horizontal 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.

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