Angle Geometry
Level
Level
Level
Level
2:
3:.
4: specify location, using bearings or grid references.
5: • use the angle properties of parallel lines and explain the reasoning involved; apply the symmetry and angle properties of polygons; use the angle between a
tangent and radius property, and the angle-in-a-semicircle; use the symmetry and angle properties of polygons to solve practical problems;
Level 6
Note: The Main and Extension Levels leave using the angle between a tangent and radius property, and the angle-in-a-semicircle until year 11.
Support
(Level 3-4)
Lesson 1
Lesson 2
LO:
LO:


Estimate, measure or draw a specified angle
Understand conventions for labelling angles
Revise “acute, obtuse, reflex”
Beta text p. 132-136

Lesson 3
revise basic angle facts
Angle round a point
Angle on straight line
Angle in triangle (incl. isosceles and equilateral)
Vertically opposite
Beta text p. 139-144
Main
(Level 5)
LO: (Revise)

Specify location using bearings and
distances
(use this to revise measurement of angles and
acute/obtuse/reflex)
Beta Text p. 137-138
10Ticks L6P2 p. 29-30
LO:

revise basic angle facts
Angle round a point
Angle on straight line
Angle in triangle (incl. isosceles and equilateral)
Vertically opposite
Beta text p. 139-144
Emphasise notation for labelling angles, lines
and polygons
Extension
(Level 5-6)
LO: (Revise)

revise angle facts

use the angle properties of parallel lines

apply the angle properties of a polygon
Angle round a point; Angle on straight line; Angle in triangle (incl. isosceles and equilateral); Vertically opposite
Corresponding; Alternate; Co-interior
Beta Text p. 145-149
Revision activity: “Matching cards – angle” (each group should have a set of 9 cards)
(Demonstrate the proof that angles in triangle add to 180)
Beta text p. 161-165
LO:

use the angle properties of parallel lines
Corresponding
Alternate
Co-interior
Beta Text p. 145-149
Revision activity: “Matching cards – angle” (each
group should have a set of 9 cards, 1 copy of first
sheet and half of second)
(Demonstrate the proof that angles in triangle add to
180)
LO:




Know the names for the parts of a
circle
Use angle properties associated
with radii
Use angle in semi-circle property
Use tangent/radius property
“The Language of Circles”
Beta Text Chapter 10
Lesson 4
Support
(Level 3-4)
LO:

Lesson 5
Specify location using bearings and
distances
“Bearings and scale drawings” (includes answers).
Draw a treasure map on a desert island, giving
bearings and distances to locate the hidden treasure.
Beta Text p. 137-138
Main
(Level 5)
Continue Lesson 4
LO: (Revise)

know that the exterior angles of a polygon
sum to 360

understand that the interior angles sum to
(n-2) x 180

calculate the interior/exterior angles of a
regular polygon
Beta text p. 159-165
Extension
(Level 5-6)
Continue Lesson 3
Lesson 6