Lesson Plan –Area, Perimeter and Volume APP
Objectives and Habits of Mind
•Level 4 / 5 Produced a scale drawing of a Rectangular Design flowerbed, calculated the perimeter and
volume.
•Level 6c Produced a scale drawing of a Triangular Design flowerbed, calculated the perimeter and
volume.
•Level 6b/6 Produced a scale drawing of a Kite or Parallelogram Design flowerbed, calculated the
perimeter and volume.
•Level 7
Produced a scale drawing of a Circular or Trapezium Design flowerbed, calculated the
perimeter and volume.
Keywords
Cross Section, Dimension, Length, Width, Height, Prism
Mental and Oral Starter
Use mini white boards to ask pupils to calculate areas and dimensions of different shapes. Slides 6 –
9.
Main Activity
Explain to pupils that they work for a Landscape Gardening Company. Explain that their task is to
come up with two designs for a raised flower bed which has an area of 24cm2. Refer to the starter
activity as a reminder of how to do this. Give pupils the ‘Client’s Stipulations’ sheet with the
additional information about the cost of the wall and the soil. Also provide the step by step
instructions to break the task down for students. Students should produce two flower bed designs
clearly showing all their working out.
Plenary
Ask pupils to complete the pink APP sheets.
Probing Questions
Level 4
How do you go about finding the perimeter of a
shape?
Find areas by counting squares and
How are the perimeter of a shape and the area
part squares of shapes drawn on
of a shape different? How do you remember
squared paper.
which is which?
Level 5
Find any one of the area, width and
length of a rectangle, given the
other two.
Find the area and perimeter of simple
compound shapes made from
rectangles.
For a given area (e.g. 24cm2) find as many
possible rectangles with whole number
dimensions as you can? How did you do it?
Always true, sometimes or never true? ‘If one
rectangle has a larger perimeter than another
one, then it will also have a larger area.’
Level 6
The area of a triangle is 12cm2. What are the
possible lengths of the base and height?
Why do you have to multiply the base by the
perpendicular height to find the area of a
parallelogram? You can use a diagram to
explain your answer.
What other formulae for the area of 2D shapes
do you know? Is there a formula for the area of
every 2D shape?
Calculate the area of triangle and
parallelograms
Probing Questions
Level 7
The cross section of a skirting
board is the shape of a rectangle,
with a quadrant (quarter circle) on
the top. The skirting board is 1.5cm
thick and 6.5cm high. Lengths
totalling 120m are ordered. What
volume of wood is contained in the
order?
Talk me through the steps you took when
finding the surface area of this right prism.
If you know the height and volume of a
right prism, what else do you know? What
don’t you know?
How many different square-based right
prisms have a height of 10 cm and a
volume of 160 cm3? Why?
What do you need to know to be able the
find both the volume and surface area of a
cylinder?
LO To design a feature flower bed and calculate the cost
of the build
Formula, volume, area, perimeter, prism
Starter Activity
Complete the
never heard the
word grid
RAG
13-Apr-15
Key Words
Polygon
Length
Width
Height
Perimeter
Area
Formula
Circumference
Pi
Never
heard
before?
Heard of but not
sure what it
means?
Know what it means and can explain it in context
Jot down your ideas here...
8cm
4cm
80cm2
What’s my Area?
What are my dimensions?
5cm
30cm2
6cm
What’s my Area?
What are my dimensions?
3cm
100cm2
6cm
What’s my Area?
What are my dimensions?
4cm
What’s my Area?
What are my dimensions?
78.5cm2
LO To design a feature flower bed and calculate the cost
of the build
Formula, volume, area, perimeter, prism
RAG
13-Apr-15
Learning Objectives :• To produce a scale drawing
• To calculate perimeter, area and volume.
• To substitute values into a formula.
You will know that you have achieved this when .....
1. You have produced a scale drawing of your flower bed
2. You have calculated the length of the wall
3. You have calculated the amount of soil needed to fill the
flower bed
4. You have calculated the total cost.
•Level 4 / 5
A Rectangular Design
•Level 6c
A Triangular Design
•Level 6b/6a
A Kite or Parallelogram
•Level 7
A Semi Circle or Trapezium
The Task
You work as part of a landscape
gardening company.
A client has approached you to design
and give a quote for a raised flower
bed.
They have a few stipulations which you
need to follow.
In your pairs you need to come up with
two designs and give a quote for the
cost of materials for each one.
The Client’s Stipulations
• The flower bed must have an area of
24m2, but it can be any shape.
• The raised bed needs to be surrounded
by a brick wall.
• It needs to have a depth of 50cm (0.5m)
and be filled with soil.
The Client’s Stipulations:
• The flower bed must have
an area of 24m2.
• The raised bed needs to be
surrounded by a brick wall.
• It needs to have a depth of
50cm (0.5m) and be filled
with soil.
It costs £20
per metre for
a 50cm high
wall.
Soil costs £40 per
cubic metre.
What You Need To Do:
1. Come up with two designs for the
raised flower bed that are different
shapes. Draw a scale diagram of
each design with dimensions shown.
2. Calculate the length of wall that will
be required to go around the garden.
3. Using the information on your
information sheet calculate the cost
of the wall.
4. Calculate the volume of your raised
flower beds.
5. Give a quote for the cost of soil.
6. Present your two designs with final
quotes for each design on a poster
that could be presented to the client.
They are picky customers and will
want to see the calculations made.
Extension task. Use one of these
flower bed designs
24cm2
24cm2
24cm2
Today’s Task
Chose a shape for your flower bed which will have an area of 24m2
Draw a scale drawing of your flowerbed, showing all measurements.
Calculate the length of the wall of your flowerbed by finding the
perimeter.
Work out the cost of your wall.
Calculate the amount of soil needed by finding the volume of your
flowerbed.
Work out the cost of your soil.
Work out the total cost for the wall and the soil.
Do the same for a different shaped flowerbed..
Your will assess each others
work on:
• The presentation of their ideas and
designs.
• The presentation of their calculations
and results.
• The accuracy of their calculations.
Our Rectangle Design
Steps1 & 2 –
The design
Area
A =3x8
= 24m2
Steps 5 & 6 - The Soil
The volume of our garden:
V
= area x depth
= 24 x 0.5
= 12m3
Cost
= 12 x 40
= £480
Steps 7 - Total Cost
Steps3 & 4 - The Wall
The perimeter of my design:
P
=2x3+2x8
= 22m
Cost
= 20 x 22
= £440
Wall
£440
Soil
£480
TOTAL £920
Our first design is a rectangle shaped raised
garden. The final cost will be £920.
level
Shape/Space/Measure
8
I understand the difference between
formulae for area, perimeter and
volume by considering dimensions.
7
I can calculate volumes and surface
area of prisms and cylinders.
6
I can find the area of triangles, kites,
parallelograms, trapeziums and circles.
I can use formulae for the volume of
cuboids. I can find the volume and
surface area of cuboids.
5
I can find the area of rectangles,
squares and triangles using a formula.
4
I understand the difference between
area and perimeter and I can find the
area and perimeter of shapes by
counting squares.
3
I can find the perimeter of a shape by
counting squares.
Tips / Hints
My teachers comment ......
My teachers question is ......
My answer is ......
To be a better learner I could................
Less Helpful
More Helpful
Work Faster / do more
Stay on task.
Be neater
Clearly show my working out.
Try the harder ones
Put my hand up to ask a question when
I don’t understand.
Talk less
Make sure that when I am talking to the
people on my table, I am talking about
the Maths.
Listen more when the teacher is talking.
Contribute answers and questions
during the explanation part of the
lesson.