Title: We are learning to:
1Which ones are you using?
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT Skills
LESSON OBJECTIVES
- We are learning to
- Finding connections between different words.
- (Which PLT skills?)
- Accurately calculate the circumference of a
circle. (Grades D)
Always aim high!
AUTHOR
2Which ones are you using?
BRAIN IN GEAR
Effective Participator
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Creative Thinker
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Reflective Learner
PLT Skills
EXAMPLE DITDIONA can be rearranged to make
ADDITION
TASK
Work out the following Mathematical anagrams
OCHDR
TAGTENN
CAR
Chord
Tangent
Arc
EXTENSION
Develop your own Mathematical anagrams as above
as a creative thinker.
3Which ones are you using?
Effective Participator
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Reflective Learner
NAMING CIRCLE PARTS
PLT Skills
TASK
MATCH THE CARDS AT THE BOTTOM WITH THE EMPTY BOXES
CHORD
TANGENT
CIRCUMFERENCE
SECTOR
RADIUS
DIAMETER
SEGMENT
4Which ones are you using?
Effective Participator
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NAMING CIRCLE PARTS ANSWERS
PLT Skills
RADIUS
SECTOR
DIAMETER
CIRCUMFERENCE
SEGMENT
TANGENT
CHORD
5Which ones are you using?
Effective Participator
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Reflective Learner
STARTER
PLT Skills
TASK
1)
2)
3)
Estimate the area below
Find the area of the triangle below
Estimate the area below
6cm
10cm
Count the approximate amount of shaded squares
Count the approximate amount of shaded squares
Estimated Area
Estimated Area
4)
Find the area of the compound shape below
6cm
Area of rectangle A length x width
Rectangle A
Area of rectangle A 6cm x 4cm
4cm
Area of rectangle B length x width
Rectangle B
6cm
Area of rectangle B 20cm x 6cm
20cm
EXTENSION
1)
Find the area shaded black below
Area of rectangle length x width
BLACK AREA 150 - 40
Area of rectangle 15cm x 10cm
10cm
5cm
Area of parallelogram base x height
8cm
Area of parallelogram 8cm x 5cm
15cm
6Which ones are you using?
Effective Participator
Self Manager
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Team Worker
Reflective Learner
PLT Skills
CIRCUMFERENCE OF CIRCLES
EXAMPLES
(a)
(b)
Find the circumference of the circle
Find the circumference of the circle
8cm
11m
x
x
3.14
Circumference of a circle
3.14
22
Circumference of a circle
8
Circumference of a circle
69.1
(1d.p.)
Circumference of a circle
25.1
(1d.p.)
m
cm
7Which ones are you using?
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT Skills
CIRCUMFERENCE OF CIRCLES
TASK (GRADE D)
EXTENSION (GRADE C)
1)
Calculate the circumference of the circles
1)
Find the perimeter of the semi-circles
(a)
(b)
(c)
(b)
(a)
(d)
Calculate the circumference of the circles
2)
(c)
(a)
(b)
(c)
2)
Calculate the perimeter of the quadrant below
3)
Find the circumference of one face of the
following coins. Give your answers to one decimal
place. a) 1p coin, diameter 2 cm b) 2p coin,
diameter 6 cm c) 5p coin, radius 0.85 cm d) 10p
coin, radius 1.2 cm
8Which ones are you using?
Effective Participator
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PLT Skills
CIRCUMFERENCE OF CIRCLES
MINI-PLENARY
A point B moves so that it is always a distance
of 3cm from a fixed point A. Draw the locus and
calculate the circumference.
x
3.14
6
Circumference of a circle
Circumference of a circle
18.8
cm
(1d.p.)
9Which ones are you using?
Effective Participator
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DISCOVERY
PLT Skills
10PLENARY ACTIVITY
FUNCTIONAL MATHS QUESTION (GRADE D)
The diagram represents a race track on a school
playing field. The diameter of each circle is
shown.
In a race with four runners, each runner starts
and finishes on the same inner circle of their
lane after completing one circuit. How much
further than A does D have to run?
Extra Distance
207.24m 188.4m
x
3.14
x
Circumference of A
60
Circumference of D
3.14
66
Extra Distance
m
Circumference of A
188.4
Circumference of D
207.24
m
(1d.p.)
18.8m
11What have you learnt?
Draw your brain
In your brain, write or draw everything you can
remember about calculating the circumference of
circles. It can be a skill or a reflection, or
something else that might be prominent in your
brain.
12Creative Entrepreneur
Responsible Citizen
Independent Learner
Positive Thinker
Team Worker
Reflective Learner
SELF ASSESSMENT
Enterprise Skills
Which ones are you using?
Plenary Activity
How well do you understand the task?
.
I dont understand
I nearly understand
I fully understand
13Creative Entrepreneur
Responsible Citizen
Independent Learner
Positive Thinker
Team Worker
Reflective Learner
SELF ASSESSMENT
Enterprise Skills
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.