Y7
CORE
SUMMER TERM
UNIT: Geometry 5 – Constructions and Loci
TIME ALLOCATION:
6 Hours
PRIOR KNOWLEDGE
Be able to measure and draw
lines accurately.
Be able to calculate scale
measurements
KEY WORDS
STARTER
SAS, triangle, quadrilateral,
polygon, sketch, construct,
adjacent, opposite, parallel,
perpendicular, intersect,
LEARNING OBJECTIVES
LEVEL 4
 Use a ruler and protractor to measure
and construct acute and obtuse angles to
the nearest degree.
 Use a ruler and protractor to construct
a triangle given two angles and the
included side (ASA) and given two sides
and the included angle (SAS); explore
using ICT.
MAP
~ Architects' plans and
elevations (scale drawings
too)
~ What Shape?
~ Visualisation
LEARNING OUTCOMES
1. To be able to construct acute and obtuse
angles, using a ruler and protractor (or angle
measurer).
Eg: construct: 6.5 cm 54º
9.8 cm
6.5 cm
2. To be able to construct a
triangle given ASA.
54º
9.8 cm
3. To use triangle constructions to construct
quadrilaterals: rectangles, parallelograms,
squares, rhombi, kites.
54º
54º
4. To be able to use labelling and notation
accurately for lines, angles and shapes.
Eg: line AB, angle Ŷ or XŶZ , triangle PQR.
 Begin to identify and use angle, side and
symmetry properties of triangles and
quadrilaterals; solve geometrical
problems involving these properties
Solve problems involving symmetry
properties.
To be able to construct triangles given SAS
or ASA.
Eg 1: Construct ΔABC, if A = 36, B = 58 &
AB = 7cm.
Eg 2: Construct ΔDEF, if DE = 6cm, EF = 5cm
& E = 75.
Identify nets for a closed cube.
To be able to construct the net for a solid of
specified dimensions.
Eg: Sketch, and construct the net of a
given pyramid.
To be able to identify parallel and
perpendicular lines.
To be able to identify and use geometric
properties of:
- triangles;
- quadrilaterals;
To be able to use these properties to solve
problems.
To be able to identify and use geometric
properties of polygons.
To be able to identify symmetries of
polygons.
To be able to identify and visualise
symmetries of triangles, quadrilaterals and
other polygons.
LEVEL 5



Construct the two possible nets for a regular
tetrahedron given the length of an edge
To use ICT to explore constructions
Use a ruler and protractor to construct
simple nets of 3-D shapes, e.g. cuboid,
regular tetrahedron, square-based
pyramid, triangular prism.
Construct on plain paper the net for a cuboid
Make simple scale drawings
with dimensions 2cm, 3cm, 4cm
LEVEL 6
 Use straight edge and compass to
construct the perpendicular from a
point to a line
 Use straight edge and compass to
construct the perpendicular from a
point to a line
 Be able to draw simple loci, on paper
and using ICT, to produce shapes and
paths, e.g. an equilateral triangle
ACTIVITIES
Design a coat of arms using
different constructions
Show construction lines
Visualise simple paths
e.g. Imagine a robot moving so that it is
always the same distance from a fixed point.
Describe the shape of the path the robot
makes
ICT
Use of logo to draw loci
RESOURCES
Cube Nets
Loci with ants (ppt)
Loci of a point (ppt)
Loci Puzzle worksheet
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
Make boxes from nets.
Design a kitchen
Looking at house plans
PLENARIES AND KEY QUESTIONS
Why is it important to estimate the size of an angle before measuring it?
What important tips would you give to someone about using a protractor?
For which constructions is it important to keep the same compass arc (distance between the
pencil and the point of your compasses)? Why?
How do you go about finding a locus?