Y7
SUPPORT
SUMMER TERM
UNIT: Geometry and Measures 5 - Geometrical Reasoning:
Lines, angles and shapes. Construction.
TIME ALLOCATION: 8 Hours
PRIOR KNOWLEDGE


Use angle measure;
distinguish between
and estimate the size
of acute, obtuse and
reflex angles.
Identify parallel and
perpendicular lines;
know the sum of angles
at a point, on a straight
line and in a triangle,
and recognise vertically
opposite angles.
KEY WORDS
STARTER
SAS, triangle, quadrilateral,
polygon, sketch, construct,
adjacent, opposite, parallel,
perpendicular, intersect,
symmetry, translate, reflect,
rotate, congruent
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.
Identifying quadrilaterals
given only their diagonals;
what quadrilaterals can be
drawn from diagonals that
are perpendicular
~ Hide and reveal shapes
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.
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.
 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.
ACTIVITIES
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.
ICT
SMILE (L4/5)
~ Polygon names
~ Quadrilateral names
~ Shape names
~ Wiggly tessellations
RESOURCES
ATM 40 Problems
~ p3 How many hexagons?
~ p5 Garden pond
KS3 Top-up Bring on the Maths
Lines and Angles: v2
MyMaths –
Shape/Constructions/Constructing
Triangles
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
Make boxes from nets.
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?
How would you draw a reflex angle, using a 180° protractor?