Transcript Constructions perpendicular and angle bisectors level

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Enterprise Skills
LESSON OBJECTIVES
Always aim
high!
We are learning to:
- Enhance our Mathematical learning skills.
(Which Enterprise skills?)
- Accurately construct angles bisectors and
perpendicular bisectors. (Level 6)
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our journey?
AUTHOR
www.mistrymaths.co.uk
Real life
cross/curricular
links?
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Enterprise Skills LEARNING JOURNEY Which ones are you using?
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BRAIN IN GEAR
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EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
DEARPERPNICUL
Perpendicular
RISTEOBC
Bisector
SOEMSCPAS
Compasses
EXTENSION
Develop your own Mathematical anagrams as above as a
creative entrepreneur.
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STARTER
Reflective
Learner
TASK
1) Work out:
3
2
(c)
(b) 2
(a) 4
= 4 x 4 = 2 x 2 x 2 = 6 and -6
= 16
=8
2)Circle the prime numbers below:
1, 2, 7, 9, 12, 15, 21, 23, 26, 29
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EXTENSION
1) Write 90 as product of
prime factors.
90
10
3)Find the nth term of the sequence:
1, 5, 9, 13, 17, …..
= 4n - 3
4) Work out:
(a) 4 x -5 (b) -15 ÷ -3 (c) -5 - 3
= -8
=5
= -20
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5
9
2
3
3
2
=2x3 x5
2)
42°
Alternate angles
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PERPENDICULAR
BISECTOR
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CONSTRUCTION
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ANGLE BISECTOR
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CONSTRUCTION
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CONSTRUCTION
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THE PERPENDICULAR
FROM A POINT TO A LINE
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CONSTRUCTIONWhich ones are you using?
THE
PERPENDICULAR
THROUGH A
POINT ON A LINE
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CONSTRUCTION
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TASK (LEVEL 6)
1) Draw a line AB 10cm in length. Using compasses, construct the
perpendicular bisector.
2) Draw a line CD of any length. Using compasses, construct the
perpendicular bisector of the line.
3) Using a protractor, draw an angle of 80°. Using compasses,
construct the angle bisector of this angle. Measure the two
angles formed to check they are both 40°
4) Using a protractor, draw and angle of 140°. Using compasses,
construct the angle bisector of this angle. Measure the two
angles formed to check that they are both 70°.
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EXTENSION (LEVEL 6)
1)To construct the inscribed circle of a triangle
Draw a triangle ABC with sides
of any length. Construct the
angle bisectors for each of the
three angles. The three angle
bisectors will meet at a point O
in the centre of the triangle.
Using O as the centre, draw a
circle to touch the three sides of
the triangle.
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Worker
MINI-PLENARY ACTIVITY – EXAM QUESTION
L
equidistant from two fixed points.
M
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DISCOVERY
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LINK BACK TO OBJECTIVES
- Accurately construct angles bisectors
and perpendicular bisectors.
What level
are we
working at?
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PLENARY ACTIVITY
Using your enterprise skills, see if you can discover how to draw an
equilateral triangle using a ruler and compasses.
EQUILATERAL TRIANGLE
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about finding
angle and perpendicular bisectors. 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 level
are we
working at?
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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
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I fully
understand
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Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
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