We are hoping to cover these objectives today.
Can you put a cross/example within the table to show how confident you are.
I understand the I think I could
I do not
objective but
complete this
understand could not attempt objective on my
the objective it on my own
own
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
I can do this easily, here is an
example
http://www.youtube.com/watch?v=0PADeY4GVmo&fe
ature=related
Volume
7
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
Key words
How can we store grain for transport?
3 minutes, to create some notes
Lets explore possible containers
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
15 minutes
Share Ideas: Pros and cons
Volume of cuboids
Volume of container
5m
10m
4m
We are hoping to cover these objectives today.
Can you put a cross/example within the table to show how confident you are.
I understand the I think I could
I do not
objective but
complete this
understand could not attempt objective on my
the objective it on my own
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.
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
3
166.7m
Class effort
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?
1a) 249.6m3
b) £3744
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
3
b) 2052m
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?
We are hoping to cover these objectives today.
Can you put a cross/example within the table to show how confident you are.
I understand the I think I could
I do not
objective but
complete this
understand could not attempt objective on my
the objective it on my own
own
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
I can do this easily, here is an
example
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)