angle, symmetry and transformation mth 4-19a
DESCRIPTION
I can create a design with rotational symmetry. Rotational symmetry challenge – fold squares of paper and cut them to make patterns with rotational symmetry of different orders (similar to line symmetry in snowflakes) http://www.adrianbruce.com/Symmetry/12.htm Key Learning Intentions I can identify examples of rotational symmetry in the environment. Fourth Level MTH 4-19a I can state the order of a shape. I can state whether a picture has half-turn symmetry, quarter- turn etc.TRANSCRIPT
Curriculum for Excellence Maths and Numeracy Experiences and Outcomes
Fourth LevelMTH 4-19a
Having investigated patterns in the environment, I can use appropriate mathematical vocabulary to discuss the rotational properties of shapes, pictures and patterns and can apply my understanding when completing or creating designs.
Key Learning Intentions
Learners’ Experiences / Possible ContextsConsider: collaborative learning, creativity, problem solving/investigative approaches, use of ICT, links across the curriculum etc.
Success Criteria Evaluation and Next
Steps
Rotational symmetry occurs in the environment (eg petals on flowers).
A shape, picture or pattern has rotational symmetry if it remains unchanged when it is turned less than 360 degrees about a fixed point.
A shape has half-turn symmetry if it fits in its outline two ways (similarly for third-turn, quarter-turn etc).
The order of a shape is the number of ways it fits in its outline.
A design with rotational symmetry must fit in its outline more than once.
Key Vocabulary:Rotational symmetry, half-turn, quarter-turn, order.
Rotational symmetry activities – alphabet, road signs, pentominoes http://www.numeracysoftware.com/Rotational%20Symmetry.pdf
Rotational symmetry challenge – can you make designs which have rotational symmetry of different orders (using rulers and compasses) http://www.adrianbruce.com/Symmetry/11.htm
Rotational symmetry challenge – fold squares of paper and cut them to make patterns with rotational symmetry of different orders (similar to line symmetry in snowflakes)http://www.adrianbruce.com/Symmetry/12.htm
Game practising line and rotation symmetry – reflect or rotate shapes to fit them in holes.http://www.mathsonline.co.uk/nonmembers/gamesroom/transform/postshape.html
Ask pupils to design a logo/sign which has rotational symmetry (order chosen by pupil, or even harder order chosen by you)
I can identify examples of rotational symmetry in the environment.
I can identify shapes, pictures and patterns which have rotational symmetry.
I can state whether a picture has half-turn symmetry, quarter-turn etc.
I can state the order of a shape.
I can create a design with rotational symmetry.
I can complete a design, given its order of symmetry.
Links to current PlannersE3.7
Angle, Symmetry and Transformation City of Edinburgh Council1