Year 7 |
Year 8 |
Year 9 |
Year 10 |
Year 11 |
Extension |
| Understand and use the language and notation associated with reflections, translations and rotations. |
|
|
|
|
|
| Recognise and visualise the symmetries of a 2-D shape.
Recognising rotational symmetry LOGO |
Identify all the symmetries of 2-D shapes. |
Identify reflection symmetry in 3-D shapes. |
|
|
|
Transform 2-D shapes by: • reflecting in given mirror lines
• rotating about a given point
• translating.
Reflections Excel
Rotations Excel
Enhancing understanding of reflection though the use of video |
Transform 2-D shapes by rotation, reflection and translation, on paper and using ICT.
GSP Making a Kaleidoscope
|
Recognise that translations, rotations and reflections preserve length and angle, and map objects on to congruent images. |
Transform 2-D shapes by combinations of translations, rotations and reflections, on paper and using ICT; use congruence to show that translations, rotations and reflections preserve length and angle.
Combinations of transformations |
|
|
| Explore these transformations and symmetries using ICT.
Symmetrical Pictures Excel |
Try out mathematical representations of simple combinations of these transformations.
Transformation golf |
Explore and compare mathematical representations of combinations of translations, rotations and reflections of 2-D shapes, on paper and using ICT.
Use geometric transformations to design a repeating pattern Geogebra |
Use any point as the centre of rotation; measure the angle of rotation, using fractions of a turn or degrees; understand that translations are specified by a vector. |
Understand and use vector notation to describe transformation of 2-D shapes by combinations of translations; calculate and represent graphically the sum of two vectors. |
Calculate and represent graphically the sum of two vectors, the difference of two vectors and a scalar multiple of a vector; calculate the resultant of two vectors. |
|
|
Devise instructions for a computer to generate and transform shapes. |
|
|
Understand and use the commutative and associative properties of vector addition. |
|
|
|
|
|
Solve simple geometrical problems in 2-D using vectors. |
|
Understand and use the language and notation associated with enlargement; enlarge 2-D shapes, given a centre of enlargement and a positive integer scale factor; explore enlargement using ICT.
Drawing enlargements
Enlargement GSP
Enlargement triangle GSP
|
Enlarge 2-D shapes, given a centre of enlargement and a positive integer 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.
Enlargements teaching tool
Enlargement Excel |
Enlarge 2-D shapes using positive, fractional and negative scale factors, on paper and using ICT; recognise the similarity of the resulting shapes; understand and use the effects of enlargement on perimeter. |
Understand and use the effects of enlargement on areas and volumes of shapes and solids. |
|
|
Make scale drawings. |
Use and interpret maps and scale drawings in the context of mathematics and other subjects.
Highway Link design |
|
|
|
| Use conventions and notation for 2-D coordinates in all four quadrants; find coordinates of points determined by geometric information. |
Find the midpoint of the line segment AB, given the coordinates of points A and B. |
Use the coordinate grid to solve problems involving translations, rotations, reflections and enlargements. |
Find the points that divide a line in a given ratio, using the properties of similar triangles; calculate the length of AB, given the coordinates of points A and B. |
|
|
