Download Unit 8 Geometry - internationalmaths0607

Unit 8 – Geometry (11 lessons)
Syllabus
Main Learning Objectives
Reference
Suggested Teaching Activities
Extra material
/resources
References from Haese and
Harris Cambridge
International Mathematics
2009
4.1
Paper 6
4.3
RECAP (A) Know the meaning of these
words with respect to Geometry. Acute,
obtuse, right angle, reflex, parallel,
perpendicular, equilateral, isosceles, regular,
pentagon, hexagon, octagon, rectangle,
square, kite, parallelogram, trapezium,
Congruent
NEW Know the meaning of these words
with respect to Geometry. Similar, rhombus.
Theory of Knowledge. Investigating the
Mobius Strip and the Four Colour
Problem
RECAP (A) Be able to measure and draw
angles in degrees.
4.4
RECAP Be able to calculate missing angles by knowing the
following angle properties.
Angles round a point add to 360o, angles on a straight line add to
180o, vertically opposite angles are equal, alternate angles on
parallel lines are equal, corresponding angles on parallel lines are
equal, co-interior angles on parallel lines are supplementary, angles
in a triangle add to 180o
4.4
RECAP Be able to calculate missing angles
Introduce the topic with reference
to the key words. Show-me
boards to check what they
remember, quiz etc
Extra exercise on
this on student CD
on Assumed
Knowledge
(Geometry)
B: Lines
C: Polygons
F: Congruence
Calculator/
Non calc.
activity
Non Calc
Worksheet plus
files on server
Suggest get students to draw
angles and get their partner to
estimate and then measure the
angle.
Extra exercise on
this on student CD
on Assumed
Knowledge
(Geometry) A:
Angles
Ex. 4A p. 96
Non Calc
Ex. 4B p. 99
Non Calc for
Non Calc
4.4
Paper 6
4.7
4.7
4.7
4.2
by knowing the angle sum of a triangle.
RECAP Be able to calculate missing angles
by knowing the sum of interior and exterior
angles of regular and irregular polygons.
Investigating –making a drawing, looking
for patterns, making predictions, testing
them, making generalisations
NEW Be able to calculate missing angles by
knowing that;
the angle in a semi-circle is 90o
the perpendicular from the centre of a circle
to a chord is 90o
the angle between a tangent and a radius of a
circle is 90o
tangents from an external point are equal in
length.
NEW Be able to calculate missing angles by
knowing that;
the angle at the centre of a circle is double
the angle at the circumference
angles subtended from the same arc are equal
NEW Be able to calculate missing angles by
knowing that
opposite angles in cyclic quadrilaterals are
supplementary
the exterior angle of a cyclic quadrilateral is
equal to the opposite interior angle
RECAP Be able to draw and describe the
symmetry of a 2D and 3D shape. Including
line and rotational symmetry.
Ex. 4C p. 102
Ex 4D p. 104
Ex 4E p. 107
simple cases
Inside Outside
Worksheet
ICT – mymaths – shape Circles - circle theorems
Links to Geometry package on
virtual textbook (p. 548) are quite
good.
Ex. 27A.1 p. 550
Non Calc for
simple cases
Links to Geometry package on
virtual textbook (p. 552) are quite
good.
Ex. 27A.2 p. 554
Non Calc for
simple cases
Ex. 27B.1 p. 558
Ex. 27B.2
Non Calc for
simple cases
2 dimensions:
Extra exercise on
this on student CD
on Assumed
Non Calc
Examples in nature?
2D
3D
Knowledge
(Geometry) D:
Symmetry
3 dimensions
Pimentell and Wall IGCSE
Mathematics
Paper 6
4.5
4.5
Paper 6
Investigating –being systematic, looking
for patterns, making predictions, testing
them, making generalisations
NEW Understand the meaning of
mathematical similarity. Find missing
lengths and angles in similar shapes.
Buses
NEW Use the relationships between the
areas and volumes of similar shapes to be
able to find missing dimensions. Find area
and volume of similar figures using scale
factor for area and volume.
Theory of Knowledge- Application of
volume scale factors to practical, real life
situation
Students can investigate the
relationship between scale factor
for length and resulting areas and
volumes.
What determines coin size?
Ex. 19.1 (p. 290)
Worksheet - Buses
Ex. 18A p. 369
Ex. 18B.1 p. 371
Ex. 18B.2 p. 372
Ex. 18C p. 374
Ex. 18D p. 378
Worksheet
Non Calc for
simple cases
Non Calc for
simple cases