Download Chapter 2 Angles

1
WORK PROGRAM
Chapter 2 Angles
Strand: Space and geometry
Substrands and outcomes:
Two-dimensional space
SGS3.2b Measures, constructs and classifies angles
Position
SGS3.3 Uses a variety of mapping skills
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
Section
Are you ready? (page 46)
GC tips, Investigations,
History of mathematics,
Maths Quest challenge,
10 Quick Questions,
Code puzzles
SkillSHEETS,
Technology applications
WorkSHEETS,
(CD-ROM)
Interactive games,
Test yourself, Topic tests
(CD-ROM)
SkillSHEETS (page 46)
2.1: Reading the scale on a
protractor
2.2: Comparing the sizes
of angles
2.3: Estimating the size of
an angle
2.4: Measuring angles with
a protractor
2.5: Constructing angles
with a protractor
2.6: Classifying angles
2.7: Naming angles
Learning outcomes
SGS3.2b
 using the symbol for
degrees ()
 using a protractor to
construct an angle of a
given size and to
measure angles
 estimating and
measuring angles in
degrees
 classifying angles as
right, acute, obtuse,
reflex, straight or a
revolution
SGS4.2
 labelling and naming
angles using A and
XYZ notation
2
Measuring angles
(page 47)
WE 1a-c, 2, 3
Ex 2A Measuring angles
(page 51)
Constructing angles with a
protractor (page 56)
WE 4a-b, 5
Ex 2B Constructing angles
with a protractor
(page 58)
Maths Quest challenge:
Q1–5 (page 53)
Code puzzle (page 54)
Investigation: Estimating
the size of an angle
(page 55)
SkillSHEET 2.1: Reading
the scale on a protractor
(page 51)
SkillSHEET 2.2:
Comparing the sizes of
angles (page 51)
SkillSHEET 2.3:
Estimating the size of
an angle (page 51)
SkillSHEET 2.4:
Measuring angles with
a protractor (page 51)
Game time 001 (page 53)
Cabri Geometry: Angles
(page 51)
SkillSHEET 2.5:
Constructing angles
with a protractor
(page 58)
GC program – Casio:
Constructing angles
(page 58)
GC program – TI:
Constructing angles
(page 58)
Excel: Constructing angles
SGS3.2b
 recognising the need
for a formal unit for
the measurement of
angles
 using the symbol for
degrees ()
 using a protractor to
construct an angle of a
given size and to
measure angles
 estimating and
measuring angles in
degrees
 describing angles
found in their
environment
(Communicating,
Reflecting)
SGS4.2
 Using dynamic
geometry software to
investigate angle
relationships (Applying
strategies, Reasoning)
SGS3.2b
 using a protractor to
construct an angle of a
given size and to
measure angles
3
Types of angles (page 59)
WE 6a-c
Ex 2C Types of angles
(page 60)
Naming angles (page 63)
WE 7a-b, 8
Ex 2D Naming angles
(page 64)
10 Quick Questions 1
(page 62)
SkillSHEET 2.6:
Classifying angles
(page 60)
Game time 002 (page 62)
SkillSHEET 2.7: Naming
angles (page 64)
WorkSHEET 2.1 (page 65)
(page 58)
Cabri Geometry: Types of
angles (page 60)
Cabri Geometry: Naming
and measuring angles
(page 64)
SGS3.2b
 classifying angles as
right, acute, obtuse,
reflex, straight or a
revolution
 identifying angle types
at intersecting lines
 describing angles
found in their
environment
(Communicating,
Reflecting)
SGS4.2
 using the common
convention to indicate
right angles
 using dynamic
geometry software to
investigate angle
relationships (Applying
strategies, Reasoning)
SGS4.2
 labelling the vertex
and arms of an angle
with capital letters
 labelling and naming
angles using A and
XYZ notation
4
Calculating the size of
angles (page 65)
WE 9, 10, 11a-b, 12a-b,
13a-c, 14
Ex 2E Calculating the size
of angles (page 69)
Maths Quest challenge:
Q1–3 (page 72)
10 Quick Questions 2
(page 72)
WorkSHEET 2.2 (page 71)
Mathcad: Finding the
complement (page 69)
Mathcad: Finding the
supplement (page 69)
Cabri Geometry:
Complementary angles
(page 69)
Cabri Geometry:
Supplementary angles
(page 69)
SGS4.2
 identifying and naming
adjacent angles (two
angles with a common
vertex and a common
arm), vertically
opposite angles,
straight angles and
angles of complete
revolution, embedded
in a diagram
 using the words
‘complementary’ and
‘supplementary’ for
angles adding to 90
and 180 respectively,
and the terms
‘complement’ and
‘supplement’
 establishing and using
the equality of
vertically opposite
angles
 using angle
relationships to find
unknown angles in
diagrams
 finding the unknown
angle in a diagram
using angle results,
giving reasons
(Applying strategies,
5
Bearings (page 73)
WE 15a-c, 16a-c
Ex 2F Bearings (page 77)
Summary (page 81)
Chapter review (page 83)
Investigation: Angles and
more angles (page 79)
WorkSHEET 2.3 (page 78)
‘Test yourself’ multiple
choice questions
(page 84)
Topic tests (2)
Cabri Geometry: True
bearings (pages 76, 77)
Excel: True  compass
bearings (page 77)
Excel: Compass  true
bearings (page 78)
Reasoning)
 using dynamic
geometry software to
investigate angle
relationships (Applying
strategies, Reasoning)
SGS3.3
 locating a place on a
map which is a given
direction from a town
or landmark
SGS4.2
 using dynamic
geometry software to
investigate angle
relationships (Applying
strategies, Reasoning)