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WORK PROGRAM
Chapter 7 Geometry and measurement
Strands: Space and geometry, Measurement
Substrands and outcomes:
Angles
SGS4.2 Identifies and names angles formed by the intersection of straight lines, including those
related to transversals on sets of parallel lines, and makes use of the relationships between them
Properties of geometrical figures
SGS4.3 Classifies, constructs and determines the properties of triangles and quadrilaterals
Length
MS3.1 Selects and uses the appropriate unit and device to measure lengths, distances and perimeters
Perimeter and area
MS4.1 Uses formulae and Pythagoras’ theorem in calculating perimeter and area of circles and
figures composed of rectangles and triangles
Perimeter and area
MS5.1.1 Uses formulae to calculate the area of quadrilaterals and finds areas and perimeters of
simple composite figures
Perimeter and area
MS5.2.1 Finds areas and perimeters of composite figures
Surface area and volume
MS4.2 Calculates surface area of rectangular and triangular prisms and volume of right prisms and
cylinders
Section
Are you ready? (page 178)
GC tips, Investigations,
History of mathematics,
Maths Quest challenge,
10 Quick Questions,
Code puzzles,
Career profiles
SkillSHEETs,
WorkSHEETs,
Interactive games,
Test yourself, Topic tests
(CD-ROM)
SkillSHEETs (page 178)
7.4: More angle relations
7.5: Angles in a triangle
7.8: Converting units of
length
7.9: Perimeter of squares,
rectangles, triangles and
circles
7.10: Area of squares,
rectangles, triangles and
circles
7.14: Volume of cubes and
rectangular prisms
Technology applications
(CD-ROM)
Learning outcomes
SGS4.2
 identifying adjacent
angles, vertically
opposite angles,
straight angles and
angles of a complete
revolution, embedded
in a diagram
 establishing and using
the equality of
vertically opposite
angles
SGS4.3
1

applying geometric
facts, properties and
relationships to solve
numerical problems
such as finding
unknown angles in
diagrams (Applying
strategies)
 recognising and
classifying types of
triangles on the basis
of their properties
MS3.1
 calculating the
perimeters of squares,
rectangles and
triangles
MS4.1
 converting between
metric units of length
 using formulae to
calculate the
circumference of
circles in terms of
radius r or diameter d
 using formulae for the
area of a square and a
rectangle
 using the formula for
the area of a triangle
 using the formula
A  r 2 to calculate
the area of circles
MS4.2
 calculating the volume
2
Angle review (page 179)
WE 1a-b, 2a-b
Ex 7A Angle review
(page 183)
SkillSHEET 7.1: Naming
angles (page 183)
SkillSHEET 7.2:
Classifying angles
(page 183)
SkillSHEET 7.3:
Complementary and
supplementary angles
(page 183)
SkillSHEET 7.4: More
angle relations
(page 183)
SkillSHEET 7.5: Angles in
a triangle (page 184)
SkillSHEET 7.6: Angle
sum of a quadrilateral
(page 184)
of prisms with cross
sections that are
rectangular
Cabri geometry: Vertically SGS4.2
opposite angles (page
 labelling and naming
180)
angles using  A and
Mathcad: Angle review
 XYZ notation
(page 183)
 using the common
Mathcad: Angle sum
conventions to
(page 184)
indicate right angles
Cabri geometry: Angle
and equal angles on
sum of a triangle
diagrams
(page 184)
 identifying and
naming adjacent
angles, vertically
opposite angles,
straight angles and
angles of complete
revolution, embedded
in a diagram
 using the words
‘complementary’ and
‘supplementary’ for
angles adding to 90º
and 180º respectively,
and the terms
‘complement’ and
‘supplement’
 establishing and using
the equality of
vertically opposite
angles
 finding the unknown
angle in a diagram
using angle results,
3
Angles and parallel lines
(page 185)
WE 3a-b, 4
Ex 7B Angles and parallel
lines (page 187)
10 Quick Questions 1
(page 188)
SkillSHEET 7.7: Angles
and parallel lines
(page 187)
WorkSHEET 7.1
(page 187)
Cabri geometry: Parallel
lines (page 185)
Cabri geometry:
Corresponding angles
(page 185)
Cabri geometry: Alternate
giving reasons
(Applying strategies,
Reasoning)
SGS4.3
 using the common
conventions to mark
equal intervals on
diagrams
 recognising and
classifying types of
triangles on the basis
of their properties
 justifying informally
that the interior angle
sum of a triangle is
180º, and that any
exterior angle equals
the sum of the two
interior opposite
angles
 establishing that the
angle sum of a
quadrilateral is 360º
 using dynamic
geometry software to
investigate angle
relationships
(Applying strategies,
Reasoning)
SGS4.2
 identifying and naming
a pair of parallel lines
and a transversal
 using the common
conventions to indicate
4
angles (page 185)
Cabri geometry:
Co-interior angles
(page 185)
Metric units of length
(page 189)
WE 5a-b
Ex 7C Metric units of
length (page 190)
SkillSHEET 7.8:
Converting units of
length (page 190)
Mathcad: Metric units of
length (page 190)
Cabri geometry: Changing
units (page 190)
Excel: Length converter
(page 190)
parallel lines on
diagrams
 identifying, naming
and measuring the
alternate angle pairs,
the corresponding
angle pairs and the cointerior angle pairs for
two lines cut by a
transversal
 recognising the equal
and supplementary
angles formed when a
pair of parallel lines
are cut by a transversal
 using angle properties
to identify parallel
lines
 using angle
relationships to find
unknown angles in
diagrams
 using dynamic
geometry software to
investigate angle
relationships (Applying
strategies, Reasoning)
MS4.1
 interpreting the
meaning of the
prefixes ‘milli’, ‘centi’
and ‘kilo’
 converting between
metric units of length
 explaining the
5
Perimeter (page 192)
WE 6a-c, 7, 8
Ex 7D Perimeter
(page 194)
Maths Quest challenge
Q12 (page 196)
SkillSHEET 7.9: Perimeter
of squares, rectangles,
triangles and circles
(page 194)
GC program – Casio:
Measurement (page 194)
GC program – TI:
Measurement (page 194)
Mathcad: Perimeter
(page 194)
Excel: Length converter
(page 194)
Excel: Perimeter and area
Cabri geometry:
Circumference and area
of a circle (page 194)
Area (page 196)
WE 9a-b, 10a-b
Ex 7E Area (page 200)
10 Quick Questions 2
(page 203)
SkillSHEET 7.10: Areas of
squares, rectangles and
circles (page 200)
SkillSHEET 7.11:
Converting length and
Excel: Area converter
(DIY) (page 197)
Mathcad: Area (page 200)
GC program – Casio:
Measurement (page 201)
relationship between
the size of a unit and
the number of units
needed
(Communicating,
Reflecting)
 solving problems
involving different
units of length
(Applying strategies)
MS4.1
 finding the perimeter
of simple composite
figures
 explaining that
perimeters of squares,
rectangles and
triangles can be found
by finding the sum of
side lengths
(Communicating,
Reasoning)
MS5.1.1
 calculating the
perimeter of simple
composite figures
consisting of two
shapes including
quadrants and
semicircles
MS5.1.1
 developing and using
formulae to find the
area of quadrilaterals
(kite, rhombus,
6
area units (page 202)
Game time 001 (page 202)
WorkSHEET 7.2
(page 202)
Area and perimeter of a
sector (page 204)
WE 11, 12, 13
Ex 7F Area and perimeter
of a sector (page 205)
Surface area of rectangular
and triangular prisms
(page 208)
Investigation: Tethered
donkey (page 207)
GC program – TI:
Measurement (page 201)
Excel: Perimeter and area
(page 201)
Mathcad: Area of a sector
(page 205)
Cabri geometry: Area of a
sector (page 205)
SkillSHEET 7.12: Surface
are of cubes and
rectangular prisms
Excel: Surface area and
volume (page 211)
Mathcad: Surface area of
trapezium)
calculating the area of
simple composite
figures consisting of
two shapes including
quadrants and
semicircles
 selecting and using
the appropriate
formula to calculate
the area of a
quadrilateral
(Applying strategies)
 dissecting composite
shapes into simpler
shapes (Applying
strategies)
 solving practical
problems involving
area of quadrilaterals
and simple composite
figures (Applying
strategies)
MS5.2.1
 calculating the area
and perimeter of
sectors
 solving problems
involving perimeter
and area of composite
shapes (Applying
strategies)
MS4.2
 identifying the surface
area and edge lengths

7
WE 14, 15
Ex 7G Surface area of
rectangular and
triangular prisms
(page 211)
Volume of prisms and
cylinders (page 214)
WE 16, 17, 18
Ex 7H Volume of prisms
and cylinders (page 218)
Investigation: Maintaining
an Olympic pool
(page 221)
Code puzzle (page 222)
(page 211)
SkillSHEET 7.13: Surface
area of triangular prisms
(page 211)
rectangular and triangular
prisms (page 211)
GC program – Casio:

Measurement (page 211)
GC program – TI:
Measurement (page 211)
of rectangular and
triangular prisms
finding the surface
area of rectangular
and triangular prisms
by practical means eg
from a net
 calculating the surface
area of rectangular
and triangular prisms
 solving problems
involving surface area
of rectangular and
triangular prisms
(Applying strategies)
MS4.2
 converting between
units of volume
 using the kilolitre as a
unit in measuring
large volumes
 constructing and
drawing various
prisms from a given
cross-sectional
diagram
 identifying and
drawing the crosssection of a prism
 developing the
formula for volume of
prisms by considering
the number and
volume of layers of
identical shape
SkillSHEET 7.14: Volume
of cubes and rectangular
prisms (page 218)
SkillSHEET 7.15: Volume
of triangular prisms
(page 219)
SkillSHEET 7.16: Volume
of cylinders (page 219)
Game time 002 (page 221)
WorkSHEET 7.3
(page 221)
Excel: Volume (page 218)
Mathcad: Volume of a
rectangular or triangular
prism (page 218)
GC program – Casio:
Measurement (page 218)
GC program – TI:
Measurement (page 218)
8





Summary (page 223)
Chapter review (page 224)
calculating the volume
of a prism given its
perpendicular height
and the area of its
cross-section
calculating the volume
of prisms with crosssections that are
rectangular and
triangular
calculating the volume
of prisms with crosssections that are
simple composite
figures that may be
dissected into
rectangles and
triangles
developing and using
the formula to find the
volume of cylinders
solving problems
involving volume and
capacity of right
prisms and cylinders
(Applying strategies)
‘Test yourself’ multiple
choice questions
Topic tests (2)
9