YEAR 9 (ma3)
Geometrical
reasoning: lines angles and shapes
Top
Y9
Objectives

Resources

Distinguish
conventions, facts, definitions and
derivations
Distinguish between
practical demonstration and proof

P
P
z angles
P
angle rules
W
angle facts
P
W
estimating angles
P angle loop animation

Find
interior and exterior angles of 4 to 6
sided shapes
Find
interior and exterior angles of
regular polygons


Solve problems using
various shape properties

W
Shape
dominoes
P
W
P Rules
for angles
P shape
envelope
P
W
Tesselations

Understand and apply
Pythagoras' theorem

W Pythagoras

Understand
congruence
Apply SSS,
SAS, ASA, RHS for congruence in
triangles


Know conditions for
similarity


Know
definition of circle and name its
parts


Know
regular polygons can be constructed
from circles


Know the
relationship between tangents and
radii


Explain why
perpendicular from centre to a chord
bisects it


Recognise/use
common 2D represenations of 3D
objects

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

Analyse
3D shapes through 2D projections


Transformations
Top
Y9
Objectives

Resources

Transform 2D shapes by
combinations of transformations

P
P
W
W
W
W
reflections
P
lines of symmetry
W
P Rangoli
patterns
P
rotating shapes
P rotating
about a point
P reflections
and rotations

Identify
reflection symmetry in 3D shapes

P squared paper grid
W
Mirror match
W Using
a mirror
P planes
of symmetry
P
W
rotational symmetry
P repeating
patterns

Enlarge 2D shapes, given
centre and positive scale factor
Enlarge 2D shapes, given
fractional scale factor
Identify
scale factor of an enlargement

W W
enlarging shapes
P enlargements

Know which transformations
preserve length and angle
Implications
of enlargement for perimeter, area and volume


Use
and interpret maps and scale drawings


Coordinates
Top
Y9
Objectives

Resources

Given the coords of A and
B, find the length of AB

P
W
W coordinate
grids

Construction
and loci
Top
Y9
Objectives

Resources

Construct
triangles (RHS)
Know SSS, SAS, ASA, RHS
constructions are unique

P spiral
patterns blanks
P
P
Kenny
W
Loci

Find the locus of an object
moving according to a rule

W
W
LOGO

Use ICT to explore
constructions

W
W
LOGO

Extend to more complex
rules involving loci/constructions


Measures and
mensuration
Top
Y9
Objectives

Resources

Problems
involving a variety of contexts

W
Estimating game
W
Units of length
W
Estimating area

Convert
between area measures
Convert between volume measures

W W
Collect a letter

Recognise that measurement
is approximate


Understand and use compound
measures (e.g. speed)

P Speed,
distance, time graphs

Deduce and use formula for
the circumference of circles

P
Circumference deduction
W
Circles notes
W
circles
P P
P
P
P
W
Area and perimeter
P
compound perimeter

Deduce and use formula for
the area of circles

Solve problems involving
constant rates of change


Calculate
s.area and volumes of right prisms

W W
cubes
W
volume
P W
Prisms

Calculate lengths, areas
and volumes in right prisms
Calculate lengths, areas
and volumes in cylinders


Begin to use trigonometry
in 2D

P
investigating trigonometry

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