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Guess
the Shape 1
Present a variety of triangles and quadrilaterals
on board.
'I'm thinking of a 2-D shape. Which shape am I thinking
of?'
Round
1:
Pupils to set questions with Yes / No answers only,
eg: Does it have parallel
sides? Are opposite angles equal?(Score =
number of guesses.)
Subsequent
rounds: 3 to 6 pupils take turns to lead.
Lowest score wins. |
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- Begin to identify
and use angle, side and symmetry properties of triangles
and quadrilaterals
- Solve geometrical problems involving these properties,
using step-by-step deduction and explaining reasoning
with diagrams and text |
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adjacent
opposite
parallel perpendicular intersect
symmetry
polygon
sketch
construct
triangle
quadrilateral
square
rectangle
rhombus
parallelogram
kite
trapezium |
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Draw a square.
Use to draw up list of key properties for use with
other quadrilaterals, such as:
opposite
side parallel? …
opposite angles equal? …
order of rotational symmetry 2?
- Convert square to a rectangle or rhombus. Properties?
- Convert rectangle/rhombus to a parallelogram.
Properties?
- Convert rhombus to a kite. Properties?
Organise responses in table / set as task.
Emphasise connections:
- between shapes;
- between change in shape and change in properties. |
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Triangles
and Quadrilaterals
Activities on
- angle properties
- side properties
- symmetry properties
- aiming for pupils to eventually recognise 
use
apply to problems.
Eg: Investigate how many
different quadrilaterals you can make on a 3 x 3
pinboard. a) Names? b) Side properties? c) Angle
properties? d) Symmetry ? |
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Discuss shapes
found on 3 x 3 pinboard. Use to review:
- names;
- angle properties;
- side properties;- symmetry properties.
OR
'A shape from the pinboard
activity has 1 line of symmetry, 1 pair of opposite
angles equal, and 2 pairs of adjacent sides equal.
Which shape is it?' Repeat with other shapes. |
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- Begin to identify
and use angle, side and symmetry properties of other
polygons
- Solve geometrical problems involving these properties,
using step-by-step deduction and explaining reasoning
with diagrams and text |
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1. 'Visualise
4 wooden bars of equal length connected by hinges
to form a polygon. What shape is it? (square). Interior
angles? (90º)
2. Now open 1 hinge and
add a bar to form a new polygon. Name? Are new interior
angles larger or smaller? What about centre angles?
- lines of symmetry? - order of rotational symmetry?
3. Repeat step 2 until there are 8 sides.
Can collect responses in a table.
What
happens to interior angle as the number of sides
increases? Why? Centre angles? Why? |
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Other
Polygons
Activities on:
- angle properties
- side properties
- symmetry properties
so pupils can recognise
use
apply to problems.
Eg: Sketch hexagons with
1 line of symmetry; 2 line; 6 lines.
Order of rotational symmetry for each?
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- Begin to identify
and use angle, side and symmetry properties of triangles,
quadrilaterals and polygons
- Solve geometrical problems involving these properties,
using step-by-step deduction and explaining reasoning
with diagrams and text |
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Use a word problem
such as below to highlight:
- common misconceptions (eg: rotation v reflection);
- the need to remember shape names.
Eg:
A square can
be thought of as a special type of rectangle with
equal sides. Explain. Is it also a special type
of rhombus? Parallelogram? Other shapes? Represent
using Venn diagrams. |
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Triangles
,Quadrilaterals and Other Polygons
Problems requiring an understanding of:
- angle properties
- side properties
- symmetry properties |
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| ''I'm thinking of a hexagon
with only 1 line of symmetry. Two interior angles
are each 160º. The other four angles are identical.
What are they?' |
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