Welcome Bert

I do not understand

the objective

I understand the objective but

could not attempt it on my own

I think I could complete this

objective on my own

I can do this easily, here is an example

Generate formulas in context

Find the volume of a selection of pyramids

Find the volume of compound shapes made from cuboids

Find the volume of a cuboid using the formula

Draw the net of a cuboid

We are hoping to cover these objectives today.Can you put a cross/example within the table to show how confident you are.

We are hoping to cover these objectives today.Can you put a cross/example within the table to show how confident you are.

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

Volume Volume

Key words7 Generate formulas in context

7 Find the volume of a selection of pyramids

6 Find the volume of compound shapes made from cuboids

5 Find the volume of a cuboid using the formula

5 Draw the net of a cuboid

How can we store grain for transport?

3 minutes, to create some notes

Lets explore possible containers

15 minutes

You task is to create a cuboid from a flat piece of paper.

Once you have created a storage container you need to measure how much grain it will hold and

see if you can discover any relationships between its volume

and the dimensions of your cuboid

You task is to create a cuboid from a flat piece of paper.

Once you have created a storage container you need to measure how much grain it will hold and

see if you can discover any relationships between its volume

and the dimensions of your cuboid

Once you have completed the above task ask for the extension work

Share Ideas: Pros and cons

Volume of cuboids

Volume of container

5m

4m10m

We are hoping to cover these objectives today.Can you put a cross/example within the table to show how confident you are.

We are hoping to cover these objectives today.Can you put a cross/example within the table to show how confident you are.

I do not understand

the objective

I understand the objective but

could not attempt it on my own

I think I could complete this

objective on my own

I can do this easily, here is an example

Generate formulas in context

Find the volume of a selection of pyramids

Find the volume of compound shapes made from cuboids

Find the volume of a cuboid using the formula

Draw the net of a cuboid

1 minutes silent thinking

We now want to store grain in large quantity's on the farm.

What do you have?

Hoppers

Generalising

Going into business as a hopper designer.

Class effort

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 whole at the bottom that allows an opening

166.7m3166.7m3

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?

1a) 249.6m3

b) £37441a) 249.6m3

b) £3744

2a) 3mb) 2052m3

2a) 3mb) 2052m3

Star questions to explore.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?

What mathematics have we used?What skills have you practised?

Do you think there where any other intended learning objectives?

What mathematics have we used?What skills have you practised?

Do you think there where any other intended learning objectives?

We are hoping to cover these objectives today.Can you put a cross/example within the table to show how confident you are.

We are hoping to cover these objectives today.Can you put a cross/example within the table to show how confident you are.

I do not understand

the objective

I understand the objective but

could not attempt it on my own

I think I could complete this

objective on my own

I can do this easily, here is an example

Generate formulas in context

Find the volume of a selection of pyramids

Find the volume of compound shapes made from cuboids

Find the volume of a cuboid using the formula

Draw the net of a cuboid

Intended objectives:

• To measure the volume of simple shapes (Level 3)• To design different nets (Level 5)• To calculate volume of simple shapes using a formula

(Level 5)• To use formula (Level 5-6)• To calculate volume of complex shapes (Level 6-7)• To create formula (Level 6)• To generate formula in context (Level 7)• To consider functionality and apply mathematics to real

life problems. (Level 3-8)