Download Chapter 8 Work program

1
WORK PROGRAM
Chapter 8 Geometry
Cluster: Space
Suggested time: 3 weeks
Section
Are you ready? (page 330)
GC tips, Investigations,
Rich tasks, History of
mathematics, Maths
Quest challenge,
10 Quick Questions,
Code puzzles
SkillSHEETs,
WorkSHEETs,
Interactive games,
Test yourself, Topic tests
(CD-ROM)
SkillSHEETs (page 330)
8.1: Naming angles
8.2: Classifying angles
8.3: Complementary and
supplementary angles
8.4: More angle relations
8.5 Angles and parallel
lines
8.6: Angles in a triangle
Technology applications
(CD-ROM)
Learning outcomes
S 16.4 Reason geometrically
Describes and compares
figures using conventional
geometric criteria.
S 16.6 Reason geometrically
Analyses, describes and applies
properties of, and relationships
between, the classes of figures
that can be reasoned about in
terms of the properties of
triangles and parallel and
intersecting lines.
2
Angles (page 331)
WE 1a–b, 2, 3, 4, 5, 6a–b,
7
Ex 8A Angles (page 339)
Investigation: Exterior
angles of a triangle
(page 334)
Investigation: Sum of
interior angles in a
polygon (page 336)
Maths Quest challenge:
Q1–2 (page 343)
Code puzzle (page 344)
10 Quick Questions 1
(page 345)
SkillSHEET 8.1: Naming
angles (page 339)
SkillSHEET 8.2:
Classifying angles
(page 339)
SkillSHEET 8.3:
Complementary and
supplementary angles
(page 339)
SkillSHEET 8.4: More
angle rations (page 340)
SkillSHEET 8.5: Angles
and parallel lines
(page 340)
SkillSHEET 8.6: Angles in
a triangle (page 341)
SkillSHEET 8.7: Angle
sum of a quadrilateral
(page 342)
SkillSHEET 8.8: Angle
sum of a polygon
(page 342)
Game time 001 (page 343)
Cabri geometry: Vertically
opposite angles (page 332)
Cabri geometry: Parallel lines
(page 333)
Cabri geometry:
Corresponding angles
(page 333)
Cabri geometry: Alternate
angles (page 333)
Cabri geometry: Co-interior
angles (page 333)
Cabri geometry: Angle sum of
a triangle (page 333)
Cabri geometry: Exterior
angles of a triangle
(page 334)
Cabri geometry: Angle sum of
a quadrilateral (page 336)
Mathcad: Angle review
(page 339)
Mathcad: Angle sum
(page 341)
Mathcad: Exterior angles of a
triangle (page 341)
Cabri geometry: Exterior
angles of a triangle
(page 341)
Mathcad: Angles in polygons
(page 342)
Cabri geometry: Internal angle
of a polygon (page 342)
Cabri geometry: Star polygons
(page 342)
S 16.6 Reason geometrically
Analyses, describes and applies
properties of, and relationships
between, the classes of figures
that can be reasoned about in
terms of the properties of
triangles and parallel and
intersecting lines.
S 16.5 Reason geometrically
Analyses, describes and applies
distinguishing features of
common classes of
mathematical figures.
WM 3.5 Mathematical
strategies
Uses problem-solving
strategies that include those
based on developing
systematic approaches.
3
Sketching and constructing Maths Quest challenge:
2-dimensional shapes
Q1 (page 352)
(page 346)
Rich task: Fractals
WE 8, 9, 10, 11, 12, 13
(page 353)
Ex 8B Sketching and
constructing
2-dimensional shapes
(page 351)
SkillSHEET 8.9:
Constructing angles
with a protractor
(page 351)
WorkSHEET 8.1
(page 352)
Cabri geometry: Exterior
angles of a polygon
(page 342)
Cabri geometry: Angle sum of
a polygon (page 342)
Cabri geometry: Regular
polygons (page 343)
GC program — Casio: Regular
polygons (page 343)
GC program — TI: Regular
polygons (page 343)
Cabri geometry: Constructing
a triangle given 2 sides and
an angle between them
(page 351)
S 15b.6 Represent shape
Interprets and meets
specifications requiring the
accurate construction of
figures.
WM 3.5 Mathematical
strategies
Uses problem-solving
strategies that include those
based on developing
systematic approaches.
WM 4.5 Apply and verify
Checks working and reasoning
and whether answers fit
specifications and make sense
in the original situation.
4
Drawing 3-dimensional
solids (page 354)
WE 14, 15, 16a–c, 17, 18,
19
Ex 8C Drawing
3-dimensional solids
(page 363)
Investigation: Packaging
and nets (page 362)
Nets, polyhedra
construction and
Euler’s rule (page 366)
WE 20, 21, 22
Ex 8D Nets, polyhedra
construction and
Euler’s rule (page 370)
Investigation: Polyhedra
construction (page 367)
Investigation: Faces, edges
and vertices of solid
shapes (page 369)
10 Quick Questions 2
(page 373)
Congruent figures
(page 373)
WE 23, 24, 25, 26
Ex 8E Congruent figures
(page 377)
Investigation: Congruent
triangles (page 374)
WorkSHEET 8.2
(page 365)
Cabri geometry: Oblique
drawing of a cuboid
(page 358)
Cabri geometry: Perspective
drawing (page 358)
Cabri geometry: Perspective
drawing with 2 vanishing
points (page 359)
Poly (page 367)
Poly (page 368)
Poly (page 370)
Mathcad: Euler’s rule
(page 372)
S 15b.4 Represent shape
Attends to the shape and
placement of parts when
matching, making and drawing
things, and using some basic
conventions for drawing them.
S 15b.5 Represent shape
Visualises and makes models
of 3D shapes and produces
conventional mathematical
drawings of them.
S 15b.5 Represent shape
Visualises and makes models
of 3D shapes and produces
conventional mathematical
drawings of them.
S 16.5 Reason geometrically
Analyses, describes and applies
distinguishing features of
common classes of
mathematical objects.
S 16.6 Reason geometrically
Analyses, describes and applies
properties of, and relationships
between, the classes of figures
that can be reasoned about in
terms of the properties of
triangles.
5
Similar figures (page 380)
WE 27, 28, 29, 30
Ex 8F Similar figures
(page 386)
Summary (page 389)
Chapter review (page 390)
Investigation: Similar
triangles (page 382)
Investigation:
Parliamentary question
time (page 388)
SkillSHEET 8.10: Finding
the scale factor
(page 387)
Game time 002 (page 388)
WorkSHEET 8.3
(page 388)
‘Test yourself’ multiple
choice questions
(page 394)
Topic tests (2)
Cabri geometry: Similar
triangles (page 380)
Cabri geometry: Similar
triangles (page 386)
S 15c.6 Represent
transformations
Visualises, produces and
accurately describes specific
dilations.
S 16.6 Reason geometrically
Analyses, describes and applies
properties of, and relationships
between, the classes of figures
that can be reasoned about in
terms of the properties of
triangles.