Lesson 5 - Circumference 2

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Lesson Plan – Lesson 4 Circumference 2
Objectives and Habits of Mind
•To identify the radius, diameter and circumference of a circle (Level 3/ 4)
•To find a rough estimate for the circumference of a circle (Level 4/5)
•To find the circumference of a circle and the perimeter of a semi circle using Pi (Level 6)
•To work well in a group, listening attentively and taking on different roles when needed.
•To negotiate and follow ground rules, to ensure fairness and cooperation when working with
others.
•To identify the best information to help complete a task and put it into my own words.
Keywords
Radius, Diameter, Circumference, Pi
Mental and Oral Starter
Using the mini white boards ask pupils the circumference questions to recap what they learnt last
lesson.
Main Activity
Task One – Pupils to work in pairs to complete the missing measurements in the table. They then
share their working out and answers with the other pair in the group.
Task Two – In groups pupils work on the London Eye questions.
Plenary
Pupils to reflect on the success criteria.
LO To calculate the circumference of circles and semi
circles.
Perimeter, Circumference, Radius, Diameter, Pi
Starter Activity
Mini white boards ready.
RAG
13/04/2015
Level
3
4
5
6
7 /8
Shape
Space
Measure
I can
accurately
measure
using a tape
measure.
I can roughly
estimate the
(circumferenc
e) of a circle.
I can more
accurately
estimate the
perimeter
(circumference )
of a circle.
I can calculate the
radius, diameter or
circumference of
circles and semi circles
when given one other
measurement.
I can calculate
volumes and
surface area of
cylinders.
I am starting the lesson on level _____________________
By the end of this lesson I want to be able to _____________________
When we watched the dots move we realised that the
circumference is not exactly 3 x bigger than the
diameter.
Once across
twice across
three times across
and a bit further!
The Circumference is a bit more than 3
times bigger it is x bigger.
Without using a
calculator, roughly
how big is the
Circumference of
this circle?
Using a calculator
give me a more
accurate answer.
Without using a
calculator, roughly
how big is the
Circumference of
this circle?
Using a calculator
give me a more
accurate answer.
Without using a
calculator, roughly
how big is the
Circumference of
this circle?
Using a calculator
give me a more
accurate answer.
Without using a
calculator, roughly
how big is the
Circumference of
this circle?
Using a calculator
give me a more
accurate answer.
If the Circumference
is 90m, without using
a calculator tell me
roughly how big the
diameter is ?
Using a calculator
give me a more
accurate answer.
How could we find the perimeter of this
semi-circle
13 cm
Task Specific Roles
Facilitator
• Makes sure that the task is completed
on time.
• Makes sure that all members of the
group have a circle or semi circle to
calculate the perimeter /
circumference of.
Resource Manager
Learning Coordinator
Recorder / Reporter
• Makes sure that all members of the
group know how to find a rough
estimate for circumference of a circle.
Makes sure that all working out is
recorded.
• Can ask the teacher for help but only
when all members of the group have
been consulted.
• Makes sure that the group has all the
necessary equipment.
Maths – Learning Outcomes
Level 3 - 4
To identify the radius, diameter and
circumference of a circle.
Level 4 - 5
To know that the circumference of a circle is
roughly 3 x bigger than the diameter and to
use this to find a rough estimate for the
circumference of a circle.
Level 6 – 7
To find the circumference of circles and
semi-circle using Pi (Level 6)
We will be using these Habits of Mind
•I can work well in a group, listening
attentively and taking on different roles
when needed.
•I can negotiate and follow ground rules, to
ensure fairness and cooperation when
working with others.
C
B
A
6cm
25.12cm
Using pi = 3.14
In your groups complete the table below.
Make sure that you discuss your methods
with one another.
Circle /
semi circle
Radius
Diameter
D
Circumference /
Perimeter
14 cm
E
130 cm
Task Two
The London Eye is 135 metres tall.
How far do you travel if the wheel
turns once? You must show all your
working out.
The wheel turns 50 times a day.
How far does it go in a year?
Maths Outcomes – Success Criteria
Level 3 - 4
I identified the radius, diameter and
circumference of circles.
Level 4 - 5
I know that the circumference of a circle is
roughly 3 x bigger than the diameter and I
used this to find a rough estimate for the
circumference of a circle.
Level 6 – 7
I found the circumference of circles and
semi-circles using Pi (Level 6)
We will be using these Habits of Mind
•I worked well in a group, listening
attentively and taking on different roles
when needed.
•I negotiated and follow ground rules, to
ensure fairness and cooperation when
working with others.
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