Y7
SUPPORT
AUTUMN TERM
UNIT: Geometry and Measures 2 - Geometrical reasoning: lines,
angles and shapes; Coordinates
TIME ALLOCATION: 6 Hours
PRIOR KNOWLEDGE
KEY WORDS
STARTER
line segment (parallel,
perpendicular, vertical,
horizontal, diagonal, opposite,
intersection,), angles
(vertically opposite, acute,
obtuse, reflex, base angles),
triangles (equilateral,
isosceles, scalene),
quadrilateral (square,
rectangle, rhombus,
parallelogram, kite,
arrowhead), grid (x-axis, yaxis, x- & y-coordinates,
quadrant).
LEARNING OBJECTIVES
LEVEL 3
 Recognise properties of rectangles.
Classify triangles (isosceles,
equilateral, scalene), using criteria such
as equal sides, equal angles, lines of
symmetry.
LEVEL 4
 Read and plot coordinates in the first
quadrant. Use correctly the vocabulary,
notation and labelling conventions for
lines, angles and shapes.

SMILE
~ Imaginings
~ Find the shapes (describing
shapes for others to draw)
~ Hide and reveal shapes
~ Estimating angles shown on
large cards; whiteboard
responses; 5 points within 5
degrees, 10 points spot on, 1
point within 10 degrees .
Draw me a shape that has....
using whiteboards
~ Things to do with dotty
paper.
~ Angle chanting / using
spokes OHTs
~ Triangle triples – find the
last angle of the triangle, if
the first two are…30 and 40;
50 and 60; 70 and 80; 14 and
26 etc….
LEARNING OUTCOMES
Given 3 coordinates of a rectangle, can you
find the other?
How many squares can you draw whose
corners have coordinates (1, 1) & (1, 5)……….?
What about (1, 1) & (3, 3)?
Use angle measure; distinguish between Which angle is obtuse / right / acute?
and estimate the size of acute, obtuse Practicals – Estimate / Measure / draw &

and reflex angles.
label given 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.
Show a diagram of a set of parallel lines with
one or more transversals and use tracing
paper to copy one of the angles. Find all the
angles on the diagram that are equal to that
angle. Which angles involve turning the
tracing paper and which angles don't?
Investigate cutting out the corners of
different-sized triangles and demonstrating
that the three corners fit on a straight line
regardless of the size or shape of the
triangle.
LEVEL 5
 Recognise positions; read and plot
coordinates in the all four quadrants;
find coordinates of points determined
by geometric information.
ACTIVITIES
3x3, 4x4, 5x5 dotty paper
activities
What shapes can you draw on
4x4 dotty paper, using only
perpendicular lines?
Find the perimeters of your
shapes.
Using 5x5 dotty paper, how
many different squares can
you draw?
~ Find the triominoes,
tetrominoes, pentominoes,
hexominoes; make a rectangle
from the 12 pentominoes;
find their lines of symmetry.
~ Triangles on isometric
paper - how many different
Read and position the numbers on the axes
accurately, using a scale when appropriate and
keeping consistency through zero.
The points (–1, 1), (2, 5) and (6, 2) are three
of the four vertices of a square. Work out
the coordinates of the fourth vertex.
ICT
Y7 Bring on the Maths
Lines and Angles: v1, v2
KS3 Top-up Bring on the
Maths
Lines and Angles: v1
SMILE
~ Angle fit
~ Polygon names
~ Quadrilateral names
~ Shape names
~ Wiggly tessellations
~ 2D quiz / 3D quiz
~ Angle 90°
~ Angle 360°
~ Snooker
~ Pilot
~ Coordinates package
RESOURCES
ATM Mathematical puzzles
~ Five piece puzzle
ATM (We can work it out)
~ 2 Shape arrangement
ATM For the classroom
~ Polygon rings
~ Convex tangram shapes
(Maths from around the
world)
~ Squares
KS3 Targeting L4
~ S2.2, S2.3, S2.4; S3.2, S3.3
L4,
~ Mathematics challenge 8
~ KS3 consolidation lessons 9
& 10
angles can you make? What is
the sum of the angles?
~ Triangles on squared dotty
paper - make several
different triangles - what is
the sum of all their angles?
Visualisation exercises
E.g.: Imagine a square with 1
corner cut off; draw 1
possible shape (whiteboards).
Try 2 corners, 3 corners..
MyMaths – Shape/
Co-ordinates/Co-ordinates 1
and Connect 4
Shape/Angles/Angle Sums
ITP fixpoints (useful for
constructing shapes and
measuring angles).
Labelling axes, what’s wrong?
(ppt)
Shapes and properties from
paper folding (ppt)
Get pupils to work in pairs.
One pupil draws a shape on a
coordinate grid – the shape
must have at least one vertex
in each of the quadrants.
They tell their partner the
name of the shape. The
second pupil has to identify
all the coordinates of the
vertices of the shape by
asking questions with a 'yes'
or 'no' answer.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES AND KEY QUESTIONS
Tell me some facts about rectangles.
Give me some instructions to help me to draw a rectangle.
Can parallel lines be curved?
How would you check whether two lines are parallel, or perpendicular?
Give me some examples of shapes that have pairs of parallel lines.
What do you understand by perpendicular lines? Can a triangle have sides that are a pair of
perpendicular lines? Why?
Can you have an obtuse / reflex angle in a triangle?
Find a pair of points with a mid-point of (1,4:) and another… and another
Find a point which is a three units from (1,4): and another… and another
A square has sides parallel to the x and y axes. What relationships exist between the
coordinates of the four corners?
Is it always possible to find the coordinates of the third and fourth corners of a square if
you know the first and second? Is there a unique answer?
What is the same about a square and a rectangle? What might be different?
I'm thinking of coordinates of a point that I want you to plot. I can only answer 'yes' and
'no'. Ask me some questions to find out the coordinates so that you can plot it.
How do you use the scales on the axes to help you read the coordinates of a point that has
been plotted?
How do you use the scales on the axes to help you to plot a point accurately from its
coordinates?
Is it possible to draw a triangle with:
 One acute angle?
 Two acute angles?
 One obtuse angle?
 Two obtuse angles? Why?
Give an example of each triangle, suggesting the sizes of the three angles, if it is possible. If
it is impossible, explain why.
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?