Lesson Plan - APP Area and Perimeter
Objectives
To pupils to self assess their understanding of area and perimeter. For teacher to carry out an
assessment using probing questions.
Keywords : Area, Perimeter, Formula
Mental and Oral Starter
Pupils to complete a ‘Heard the Word’ grid and compare it to grid they completed at the start of
the unit.
Main
Show the pupils the assessment criteria (slide 5) and ask them to reflect on what they have done
over the last few lessons. This will give pupils an idea about which challenge they should try to
complete. Ask pupils to select an appropriate challenge. Explain that the purpose of this lesson is
to assess their understanding so although they can ask a friend for help they must be honest
when they come to self assess at the end of the lesson. Explain that if they find their chosen
challenge either too hard or too easy they should swap for a different challenge. Ensure that
pupils are aware that they only have this lesson to complete their chosen challenge so they must
stay on task and work to the best of their ability to be able to accurately assess themselves.
Plenary
Print off slides 12 and 13 two to a page on pink A4 paper. Ask pupils to look at their assessment
sheet and colour in all the levels they feel that they achieved independently. Explain to pupils that
you will be marking their work and completing the ‘my teacher’s question’ box. Remind students
that next lesson for the starter activity they must come in and look for the question you have set
and respond either by answering it or by explaining why the question is too hard for them to
answer.
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
For a given area (e.g. 24cm2) find as many
possible rectangles with whole number
Find any one of the area, width and
dimensions as you can? How did you do it?
length of a rectangle, given the
Always true, sometimes or never true? ‘If one
other two.
rectangle has a larger perimeter than another
Find the area and perimeter of simple one, then it will also have a larger area.’
compound shapes made from
rectangles.
Level 6
Calculate the area of triangle and
parallelograms
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?
LO To design a classroom and calculate the perimeter and
area of each desk.
Key Words: Perimeter, Area, Formula
9-Apr-15
RAG
Starter Activity
Complete the ‘Heard the
Word Grid’ and compare it
to the one you completed at
the start of the module.
Are there any key words
that you have learnt or have
a better understanding of
than you did before?
Key Words
Polygon
Length
Width
Height
Perimeter
Area
Formula
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...
Level
3
4
5
6
7
8
Shape
Space
Measure
I understand
and can
explain the
difference
between
area and
perimeter.
I can find the
area and
perimeter of
shapes by
counting
squares.
I can find the
area of
rectangles and
squares using a
formula.
I can find the area of
triangles, kites,
parallelogram
trapeziums and circles.
I can use formulae for
the volume of cuboids.
I can find the volume
and surface area of
cuboids.
I can calculate
volumes and
surface area of
prisms and
cylinders.
I understand
the difference
between
formulae for
area,
perimeter and
volume by
considering
dimensions.
I started this unit of work on level _____ I knew how to
………………………………………………………………………………
I know that I have made progress because now I can
…………………………………………………………………………………
………………………………………………………………………
LO To design a classroom and calculate the perimeter and
area of each desk.
Key Words: Perimeter, Area, Formula
9-Apr-15
RAG
Today’s Task :• Produce a drawing of a classroom
containing 5 different sized / shaped desks to
seat 30 pupils.
• Calculate the perimeter and area of each
desk top and provide a quote for the cost of
the desks for the client.
Assessment Criteria
To produced a drawing of a classroom and calculate the area and perimeter
of the desks. You should show how you worked out the area and perimeter.
Level 4 Challenge
Design a classroom with 5 different sized rectangular desks, drawn on
squared paper. (1cm = 1m) Calculate the perimeter and area of the desks
by counting squares.
Level 5 Challenge
Design a classroom with 5 different sized rectangular desks. Do not use
squared paper. Write on the measurements of the sides of each desk.
Calculate the perimeter and the area of the desks using formula. You must
show all your working out.
Level 6 Challenge
Design a classroom which has 5 different shaped desks, a rectangle, a
triangle, a parallelogram, a trapezium and a kite. Write on the
measurements of the sides of each desk. Do not use squared paper.
Calculate the area and the perimeter of each desk using formula. You must
show all your working out.
The Task
You work as part of a classroom design
company.
A client has approached you to design and
give a quote for classroom furniture.
They have a few stipulations which you need
to follow.
You will need to provide a quote for the cost
of the desks, you can either choose which
type of desk to supply or you can provide
more than one quote.
The Client’s Stipulations
• The desks can be any shape but they must
be large enough to seat pupils in groups, so
more than one pupil at every desk.
• There must be 5 desks in the room.
• 30 pupils must be seated around these 5
desks, however, group sizes can change so
you could have a smaller desk seating 2 or 3
pupils and larger desks seating 4 or more
pupils.
Providing a quote for the
client
• Economy desk tops costs £5 per metre2.
• Standard desk tops costs £7.50 per metre2.
• Luxury desk tops costs £11.75 per metre2.
You must round to the nearest whole metre
when calculating cost.
Your work will be assessed on:
• The accuracy of your calculations.
• The presentation of your ideas and
designs.
• The presentation of your calculations
and results.
Level
3
4
5
6
7
8
Shape
Space
Measure
I understand
and can
explain the
difference
between
area and
perimeter.
I can find the
area and
perimeter of
shapes by
counting
squares.
I can find the
area of
rectangles and
squares using a
formula.
I can find the area of
triangles, kites,
parallelogram
trapeziums and circles.
I can use formulae for
the volume of cuboids.
I can find the volume
and surface area of
cuboids.
I can calculate
volumes and
surface area of
prisms and
cylinders.
I understand
the difference
between
formulae for
area,
perimeter and
volume by
considering
dimensions.
I started this unit of work on level _____ I knew how to
………………………………………………………………………………
I know that I have made progress because now I can
…………………………………………………………………………………
………………………………………………………………………
My teachers probing question
My answer
What I will do to act upon my ‘Even Better If’’ comment
Strategy
Complete a mymaths lesson or booster pack
Use a revision guide or text book
Ask my teacher to explain during a lesson
Ask a peer to explain during a lesson
Ask someone at home to help
Attend a revision session at school
Attend homework club
Something else (describe your strategy.)
Tick