|
|
|
|
What's
in a Label?
Present a labelled triangle ?ABC on board or OHT.
Â? C? BÂC? ?ABC?
AB? AC? BC?
Repeat for hexagon ABCDEF. |
|
- Use a ruler and
protractor to construct a triangle, given two sides
and the included angle (SAS)
- Construct a triangle given two angles and the
included side (ASA); explore these constructions
using ICT |
|
SAS
ASA
triangle
quadrilatera
lpolygon
sketch
construct
adjacent
opposite
parallel perpendicular intersect
symmetry
translate reflect
rotate
congruent |
|
Triangles
and Quadrilaterals
- Review how to construct an angle.
Eg:

- Demonstrate how to build on this to construct
a triangle.
Eg:
|
|
Practical challenges
involving:
1a) - triangle constructions given SAS;

1b) - constructing a triangle given ASA;

2. – using these to construct quadrilaterals:
rectangles, kites, parallelograms, squares, rhombi;

3. – and extending to regular polygons.
4. To be able to use labelling and notation accurately
for lines, angles and shapes.
Eg: line AB, angle Y or
XYZ, ? PQR. |
|
Draw a parallelogram
or kite, ABCD, including lengths and two interior
angles.
Size of each centre angle?
Interior angles? How might you construct this? Starting
point? Order?
How would you label this angle? This line …
? |
|
|
|
Present ?ABC on
board or OHT. - How
can you use two of these to make a kite? parallelogram?
isosceles triangle? -
Or 4 to make a rhombus?
- How do these help you to work out the order of
rotational symmetry of the final shapes?
OR
Sparks
19: Polygons |
|
Other
Polygons
- Demonstrate how to build on this to construct
a polygons.
Eg:

- Highlight need to be within 1º and 1mm; impact
on accuracy of pentagon made from 5 triangles. |
|
This is a regular
polygon.

- Name?
- Centre angle?
- Which eight isosceles triangles could be drawn
to make it?
- Name one (?ABO).
- How would you construct it?
- Symmetry properties?
- Side properties?
- Interior angles? |
|
|
|
OHS
S5/1: Net the Cuboid
Present a variety of 2-D nets (including red herrings)
and one 3-D cuboid. Which
net(s) can make this cuboid? Which nets are red
herrings? |
|
| - Use a ruler and
protractor to construct simple nets of 3-D shapes,
e.g. cuboid, regular tetrahedron, square-based pyramid,
triangular prism |
|
|

- Use a variety of real and drawn 3-D shapes to
review names, number of faces, edges and vertices
(corners).
- Ask pupils to visualise and sketch net of a large
cuboid box. (then other box shapes). More
than one net?
- Collect suggested visualisation strategies from
pupils.
(Eg: shade base square
fold up left & right, front & back, then
top.) |
|
1. Match nets to
corresponding 3-D shapes.
2. 2. Sketch nets for a variety of 3-D shapes.
3. Construct nets given dimensions of the 3-D solids.
Eg:

Extend to:
 |
|
Review
…
Ask pupils to identify three 3-D shapes from three
unknown nets.
and link …
Show three 3-D shapes in turn.
- Can you draw a sketch of a net for this 3-D shape?
- Can you name the shape of each face?
- Front elevation?
- Side elevation?
- Plan view? |
|
|