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Mathematics Scheme of Work for Key Stage 3 - Year 9
Year 9
Time 3-4 weeks
202217
Transformations
Shape, space and measures 3
Objectives from the Y9 teaching programme
Geometrical
Reasoning
Oxford Chap. 10
p163-176
Identify reflection symmetry in 3-D shapes.
Oxford Chap. 13
p214-215
187,
189,
242
–
247
Understand and use geometric proof.
Understand congruence.
191,
193
Activities and
resources
Transform 2-D shapes by combinations of
translations, rotations and reflections, on paper and
using ICT; know that translations, rotations and
reflections preserve length and angle and map
objects on to congruent images.
Enlarge 2-D shapes, given a centre of enlargement
and a whole-number scale factor, on paper and
using ICT; identify the scale factor of an enlargement
as the ratio of the lengths of any two corresponding
line segments; recognise that enlargements
preserve angle, but not length, and understand the
implications of enlargement for perimeter.
179
Objectives from the Y9 programme
for able pupils
Trigonometry
HGS Mathematics Department
Enlarge 2-D shapes, given a fractional
scale factor; recognise the similarity of
the resulting shapes; understand the
implications of enlargement for area
and volume.
Enlargement – 10 ticks
7/8 Pack 4 p34-36
Know that if two 2-D shapes are similar,
corresponding angles are equal and
corresponding sides are in the same
ratio.
Know from experience of constructing
them that triangles SSS, SAS, ASA or
RHS are unique, but that triangles given
SSA or AAA are not.
Similarity – 10 ticks
7/8 Pack 5 p27-28
Apply the condition SSS, SAS, ASA or
RHS to establish the congruence of
triangles.
Congruence – 10 ticks
7/8 Pack 5 p11-14
Revise Pythagoras’ Theorem.
Begin to use sine, cosine and tangent
in right-angles triangles to solve
problems in two dimensions.
ICT
Oxford Chap. 3
p50-53
Oxford Chap. 13
p216-221
Trigonometry 10 ticks
7/8 Pack 5 p31-36
Jan. 2011
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Mathematics Scheme of Work for Key Stage 3 - Year 9
PLTS
Reflective Self Managers
Creative Enquiry
Probing Questions
Beta C4, C7, C15 – SSS,SAS,ASA Congruence criteria
Gamma T13 – Similarity
Gamma T21 – Scale factors (length and area)
Gamma C13 – Similarity
Gamma C20 – Similarity and Trigonometry
NCETM Activities
Show me an example of:
A hypotenuse, opposite side, adjacent side
A problem that can be solved using trigonometry
A triangle in which the tangent of the angle is 2
A triangle in which the sine is 0.75
Effective Team Work
What is the same/different about three triangles with sides 3, 4, 5 and 6, 8,
10 and 5, 12, 13
Trigonometry Sequence Activity
Trigonometry Matching Activity
Given a triangle ABC, which combinations of sides and angles completely
determine the shape of the triangle?
Similar / Congruent Triangles sorting activity
Maths loops -
Trigonometry (Finding angles)
Trigonometry (Finding sides)
Solve problems in Trigonometry and Pythagoras
HGS Mathematics Department
Jan. 2011