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YEAR 9 (ma3)
Geometrical
reasoning: lines angles and shapes
Top
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Y9
Objectives
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Resources
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Distinguish
conventions, facts, definitions and
derivations
Distinguish between
practical demonstration and proof
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P
P
z angles
P
angle rules
W
angle facts
P
W
estimating angles
P angle loop animation
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Find
interior and exterior angles of 4 to 6
sided shapes
Find
interior and exterior angles of
regular polygons
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Solve problems using
various shape properties
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Shape
dominoes
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W
P Rules
for angles
P shape
envelope
P
W
Tesselations
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Understand and apply
Pythagoras' theorem
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W Pythagoras
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Understand
congruence
Apply SSS,
SAS, ASA, RHS for congruence in
triangles
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Know conditions for
similarity
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Know
definition of circle and name its
parts
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Know
regular polygons can be constructed
from circles
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Know the
relationship between tangents and
radii
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Explain why
perpendicular from centre to a chord
bisects it
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Recognise/use
common 2-D represenations of 3-D
objects
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P
P
isometric grids
W cubes
P
P
drawing 3D shapes on isometric
paper
W
drawing 3D shapes problems
P
W
P
Nets
P
P
P
opening box 'flick'
P
rolling box 'flick'
P ideas
for more 'flicks'
W elevations
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Analyse
3-D shapes through 2-D projections
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Transformations
Top
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Y9
Objectives
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Resources
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Transform 2-D shapes by
combinations of transformations
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P
P
W
W
W
W
reflections
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lines of symmetry
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P Rangoli
patterns
P
rotating shapes
P rotating
about a point
P reflections
and rotations
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Identify
reflection symmetry in 3-D shapes
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P squared paper grid
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Mirror match
W Using
a mirror
P planes
of symmetry
P
W
rotational symmetry
P repeating
patterns
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Enlarge 2-D shapes, given
centre and positive scale factor
Enlarge 2-D shapes, given
fractional scale factor
Identify
scale factor of an enlargement
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W W
enlarging shapes
P enlargements
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Know which transformations
preserve length and angle
Implications
of enlargement for perimeter, area and volume
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Use
and interpret maps and scale drawings
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Co-ordinates
Top
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Y9
Objectives
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Resources
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Given the co-ords of A and
B, find the length of AB
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P
W
W co-ordinate
grids
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Construction
and loci
Top
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Y9
Objectives
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Resources
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Construct
triangles (RHS)
Know SSS, SAS, ASA, RHS
constructions are unique
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P spiral
patterns blanks
P
P
Kenny
W
Loci
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Find the locus of an object
moving according to a rule
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W
W
LOGO
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Use ICT to explore
constructions
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W
W
LOGO
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Extend to more complex
rules involving loci/constructions
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Measures and
mensuration
Top
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Y9
Objectives
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Resources
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Problems
involving a variety of contexts
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Estimating game
W
Units of length
W
Estimating area
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Convert
between area measures
Convert between volume measures
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W W
Collect a letter
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Recognise that measurement
is approximate
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Understand and use compound
measures (e.g. speed)
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P Speed,
distance, time graphs
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Deduce and use formula for
the circumference of circles
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P
Circumference deduction
W
Circles notes
W
circles
P P
P
P
P
W
Area and perimeter
P
compound perimeter
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Deduce and use formula for
the area of circles
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Solve problems involving
constant rates of change
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Calculate
s.area and volumes of right prisms
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W W
cubes
W
volume
P W
Prisms
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Calculate lengths, areas
and volumes in right prisms
Calculate lengths, areas
and volumes in cylinders
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Begin to use trigonometry
in 2-D
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P
investigating trigonometry
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