Volumes of prisms grade C lesson

advertisement
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
Self
Manager
Team
Worker
Which ones are you using?
PLT Skills
LESSON OBJECTIVES
Always aim
high!
We are learning to:
- Be reflective learners on previous learning outcomes.
(Which PLT skills?)
- Accurately calculate the volume of prisms. (Grade C)
Where are we in
our journey?
AUTHOR
www.mistrymaths.co.uk
Real life
cross/curricular
links?
Creative
Thinker
Effective
Participator
Independent
Enquirer
STARTER
PLT Skills
Reflective
Learner
Self
Manager
Team
Worker
Which ones are you using?
TASK
Calculate the area for each of the shapes below:
1)
8cm
3cm
2cm
3)
2)
4cm
7cm
Area of rectangle = length x width
base x vertical height
Area =
Area of rectangle = 8cm x 3cm
2
7cm x 4cm
Area =
2
6cm
12cm
A
B
3cm
14cm
Area of A = 6cm x 2cm =
Area of B = 12cm x 3cm =
Total Area =
Total Area =
+
EXTENSION
Calculate the area of the compound shape below:
1)
Area of rectangle = 10cm x 5cm =
6cm
base x vertical height
2
10cm x 6cm
Area of triangle =
2
Area of triangle =
11cm
10cm
5cm
Total Area =
Total Area =
+
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
PLT Skills
VOLUME OF CUBOIDS
INTRODUCTION
VOLUME
CUBIC
CENTIMETRE
Self
Manager
Team
Worker
Which ones are you using?
AMOUNT OF SPACE INSIDE A SOLID
(3D SHAPE)
CUBE WHICH MEASURES 1CM IN ALL DIRECTIONS.
1cm
1cm
1cm
Creative
Thinker
Effective
Participator
PLT Skills
Independent
Enquirer
Reflective
Learner
VOLUME OF PRISMS
Self
Manager
Team
Worker
Which ones are you using?
INTRODUCTION
PRISM
3D SHAPE WHICH HAS THE SAME CROSS SECTION
RUNNING THROUGH IT.
FORMULA
GIVEN IN EXAM
See if you can name the following prisms and the shape of their cross sections:
Click to reveal
Click to reveal
Click to reveal
Click to reveal
Click to reveal
Click to reveal
Click to reveal
Click to reveal
Click to reveal
Click to reveal
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
Self
Manager
Team
Worker
Which ones are you using?
VOLUME OF PRISMS
VOLUME OF A PRISM = AREA OF CROSS SECTION X LENGTH
EXAMPLES
Find the volume of the prisms below:
1)
2)
11 cm
8 cm
Cross section
Cross
section
3 cm
5 cm
2 cm
3 cm
Volume = area of cross section x length
Volume = area of triangle x length
Volume = 30 x 4
Volume = area of cross section x length
Volume = 30 x 11
Creative
Thinker
Effective
Participator
Independent
Enquirer
Reflective
Learner
Self
Manager
Team
Worker
Which ones are you using?
PLT Skills
VOLUME OF PRISMS
TASK (GRADE C)
Calculate the volume for each of the prisms below:
1)
2)
3)
4)
5)
6)
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
VOLUME OF PRISMS
EXTENSION (GRADE C)
2)
1)
75000 litres
Self
Manager
Team
Worker
Which ones are you using?
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
VOLUME OF PRISMS
Self
Manager
Team
Worker
Which ones are you using?
MINI-PLENARY
Work out the volume of the shape below:
Volume = area of cross section x length
Volume = area of kite x length
Volume = half product of diagonals x length
Creative
Thinker
PLT Skills
Effective
Participator
Independent
Enquirer
Reflective
Learner
DISCOVERY
Self
Manager
Team
Worker
Which ones are you using?
LINK BACK TO OBJECTIVES
- Accurately calculate the volume of prisms.
What grade
are we
working at?
PLENARY ACTIVITY
Work out the volume of the trapezoidal prism below.
Write your answer in litres
a
h
b
Volume = area of cross section x length
Volume = area of trapezium x length
Volume = 28 x 5
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about
calculating the volume of prisms. It can be a skill or a reflection, or
something else that might be prominent in your brain.
Where are we
in our
journey?
What grade
are we
working at?
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
How well do you understand the task?
.
I don’t
understand
I nearly
understand
www.mistrymaths.co.uk
I fully
understand
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
www.mistrymaths.co.uk
Download