Year 9 curriculum
Space

Use the enlargement transformation to explain similarity and develop the
conditions for triangles to be similar


Solve problems using ratio and scale factors in similar figures
Networks
Assumed knowledge:
Know how to identify angles (corresponding, alternate, co-interior)
Know that angle sum of triangles is 1800 and quadrilaterals is 3600.
Be able to find missing angles in triangles and quadrilaterals.
Understand factors and multiples (in order to find ratios)
Know how to name angles eg. <AOB
Common misconceptions:
Assuming diagrams in textbook are drawn to scale
Sum of angles inside a quadrilateral is 1800
Key terminology:
Angle
Acute
Obtuse
Right
Reflex
Straight
Revolution
Complementary
Supplementary
Adjacent
Vertically opposite
Parallel
Transversal
Corresponding
Alternate
Co-interior
Polygon
Exterior angle
Quadrilateral
Pronumeral
Sum
Size
Interior angle
Pentagon
Hexagon
Octagon
Congruent figures
Identical
Reflection
Rotation
Translation
Hypotenuse
Scale factor
Networks
Vertices
Faces
Nodes
Traversable
Circuit
Path
Key understanding:
Be able to use their knowledge of sum of interior angles to find unknown angles
Know that congruent figures are identical figures; that is, they have exactly the
same shape and size.
Know that congruent figures often result from reflections, rotations or
translations.
Know similar figures have identical shape but different size. The corresponding
angles in similar figures are equal in size and the corresponding sides are in the
same ratio, called a scale factor.
Know that networks are a type of map that show the relationship between
elements of the map. The elements of a network are called vertices or nodes.
The lines that join adjacent vertices are called sides. The regions enclosed by
sides are called faces.
Know that a network is traversable if you can trace it from start to finish
without lifting your pen or going over any side twice. A network is traversable
if it contains only even vertices or exactly two odd vertices.
Know that a circuit is a path that begins and ends at the same vertex. An Euler
circuit uses every side once, passes through every vertex and ends at the same
vertex from which it started. A network that contains an Euler path or circuit is
traversable.
Key skills:
Students should be able to name angles
Be able to recognise different types of angles
Be able to calculate unknown angles using knowledge of sum of interior angles
Be able to write congruence statements eg ABC A′B′C′ and ABCDE
PQRST
Be able to recognize corresponding angles in order to establish congruence and
similarity
Be able to come up with a scale factor for use with similar figures
Be able to test triangles for similarity
Be able to draw Networks
Be able to explain why it is not possible to create a network with only one odd
vertex
Be able to identify an Euler path
Be able to identify a circuit