Download 2017 Year9 Mathematics Course1 Program

Irene McCormack Catholic College
Mathematics Learning Area
Year 9 Mathematics
Course 1 Program
2017
Resource Materials
Assessments
SEMESTER ONE
TESTS (3)
24%
EPW (2)
16%
EXAM (Semester 1 Content Only)
8%
SUB TOTAL
48%
SEMESTER TWO
TESTS (3)
24%
EPW (2)
16%
EXAM (Semester 1 & 2 Content)
12%
SUB TOTAL
52%
YEAR TOTAL
100%
Year 9 Level Description
The proficiency strands Understanding, Fluency, Problem Solving and Reasoning are an integral part
of mathematics content across the three content strands: Number and Algebra, Measurement and
Geometry, and Statistics and Probability. The proficiencies reinforce the significance of working
mathematically within the content and describe how the content is explored or developed. They
provide the language to build in the developmental aspects of the learning of mathematics.
At this year level:
Understanding includes describing the relationship between graphs and equations, simplifying a
range of algebraic expressions, explaining the use of relative frequencies to estimate probabilities, and
the use of the trigonometric ratios for right-angle triangles
Fluency includes applying the index laws to expressions with integer indices, expressing numbers in
scientific notation, listing outcomes for experiments and developing familiarity with calculations
involving the Cartesian plane and calculating areas of shapes and surface areas of prisms
Problem Solving includes formulating, and modelling practical situations involving surface areas and
volumes of right prisms, applying ratio and scale factors to similar figures, solving problems involving
right-angle trigonometry, and collecting data from secondary sources to investigate an issue
Reasoning includes following mathematical arguments, evaluating media reports and using statistical
knowledge to clarify situations, developing strategies in investigating similarity and sketching linear
graphs
Year 9 Mathematics Course 1 Program
Term 1
Week
1
1- 4
Content
Probability
Review of
Probability from
year 8
Understanding
probability.
Probability
events.
Representing
probability
Venn diagrams
and Two-way
tables
Australian Curriculum Content
Descriptor
 Identify complementary events and use the sum of
probabilities to solve problems (ACMSP204)
 Describe events using language of 'at least', exclusive 'or'
(A or B but not both), inclusive 'or' (A or B or both) and
'and' (ACMSP205)
 List all outcomes for two-step chance experiments, both
with and without replacement using tree diagrams or
arrays. Assign probabilities to outcomes and determine
probabilities for events (ACMSP225)
 Represent events in two-way tables and Venn diagrams
and solve related problems (ACMSP292)
Exercises
and
Resources
Assessments
Week
5-6
Content
Financial
mathematics
Percentages
review.
Buying and
selling
7
810
1.5 Simple
interest
Pythagoras’
theorem
Pythagoras’
theorem and
right-angled
triangles
Australian Curriculum Content
Descriptor
Exercises
and
Resources
 Solve problems involving the use of percentages, including
percentage increases and decreases, with and without
digital technologies (ACMNA187)
 Solve problems involving profit and loss, with and without
digital technologies (ACMNA189)
Assessments
EPW 2:
Project, Cost
of Living
Test 1
(Week 5)
 Solve problems involving simple interest (ACMNA211)
 Investigate Pythagoras’ Theorem and its application to
solving simple problems involving right angled triangles
(ACMMG222)
Test 2
(Week 9)
Finding the
length of the
hypotenuse
Finding the
length of a
shorter side
Applications of
Pythagoras’
theorem
Term 2
Week
1-2
Content
Algebra
Introducing
index laws using
variables
More index laws
and index
properties
(Not negative or
fractional
indices)
Scientific
notation
including
negative indices
and time scales
Australian Curriculum Content
Descriptor
 Apply index laws to numerical expressions with integer
indices (ACMNA209)
 Express numbers in scientific notation (ACMNA210)
Exercises
and
Resources
Assessments
Project Due
Week
Content
Australian Curriculum Content
Descriptor
Exercises
and
Resources
Assessments
Past NAPLAN
papers &
texts
EPW 2:
Problem
solving
NAPLAN
2-4
Revise basic skill
for NAPLAN & do
practice
questions
Algebra
4
Expanding
brackets

5
Factorising using
common factors
 Factorise algebraic expressions by identifying numerical
factors (ACMNA191)
Apply the distributive law to the expansion of algebraic
expressions, including binomials, and collect like terms
where appropriate (ACMNA213)
Measurement
6
6-7
7-8
Area
Including
composites and
sectors
Surface area
(NO pyramids)
 Calculate the areas of composite shapes (ACMMG216)
 Calculate the surface area and volume of cylinders and
solve related problems (ACMMG217)
 Solve problems involving the surface area and volume of
right prisms (ACMMG218)
Test 3
(Week 6)
REVISION
8
EXAMS
EXAM
Measurement
9 - 10
Volume and
capacity
(No pyramids)
 Calculate the surface area and volume of cylinders and
solve related problems (ACMMG217)
 Solve problems involving the surface area and volume of
right prisms (ACMMG218)
4.4
Term 3
Week
Content
Australian Curriculum Content
Descriptor
Exercises
and
Resources
Assessments
Linear
relationships
1-3
Coordinate
geometry
 Find the distance between two points located on a
Cartesian plane using a range of strategies, including
graphing software (ACMNA214)
 Find the midpoint of a line segment (interval) on the
Test 4
Direct Proportion
4-5
Gradient
Sketching linear
graphs using the
gradient and yintercept
(Week 3/4)
Cartesian plane using a range of strategies, including
graphing software (ACMNA294)
 Solve problems involving direct proportion. Explore the
relationship between graphs and equations
corresponding to simple rate problems (ACMNA208)
 Find the gradient of a line on the Cartesian plane using a
range of strategies, including graphing software
(ACMNA294)
 Sketch linear graphs using the coordinates of two points
(ACMNA215)
Vertical and
horizontal
graphs
Trigonometry
6-7
Similarity and
similar triangles
Solving problems
using similar
triangles
8-9
10
 Use the enlargement transformation to explain similarity
and develop the conditions for triangles to be similar
(ACMMG220)
 Solve problems using ratio and scale factors in similar
figures (ACMMG221)
Using
trigonometry to
find side lengths
 Apply trigonometry to solve right-angled triangle
Using
trigonometry to
find angles
Applications of
trigonometry
 Apply trigonometry to solve right-angled triangle
EPW 3
Test 5
(Week 8/9)
problems (ACMMG224)
problems (ACMMG224)
Term 4
Week
Content
1
Statistics
Review of Basic
calculations
Australian Curriculum Content
Descriptor
 Calculate mean, median, mode and range for sets of
data. Interpret these statistics in the context of data
(ACMSP171)
 Describe and interpret data displays using median, mean
and range (ACMSP172)
Exercises
and
Resources
Assessments
1-2
Investigating
data
 Identify everyday questions and issues involving at least
one numerical and at least one categorical variable, and
collect data directly from secondary sources (ACMSP228)
EPW 4
Interpreting data
2-3
Statistics from
grouped data
Comparing data
sets
4-5
Non-linear
graphs
Quadratic:
Sketching
parabolas
 Construct back-to-back stem-and-leaf plots and
histograms and describe data, using terms including
‘skewed’, ‘symmetric’ and ‘bi modal’ (ACMSP282)
 Compare data displays using mean, median and range to
describe and interpret numerical data sets in terms of
location (centre) and spread (ACMSP283)
 Graph simple non-linear relations with and without the
use of digital technologies and solve simple related
equations (ACMNA296)
Test 6
Exponential:
Sketch Graphs
CAMINO CAMP WILL OCCUR IN WEEKS 6
7
REVISION
8-9
REVISION
EXAM
EXAM
Year 9 Achievement Standard
Number and Algebra
By the end of Year 9, students solve problems involving simple interest. Students apply the index laws to numbers and express
numbers in scientific notation. They expand binomial expressions. They find the distance between two points on the Cartesian
plane and the gradient and midpoint of a line segment. They sketch linear and non-linear relations.
Measurement and geometry
They interpret ratio and scale factors in similar figures. Students explain similarity of triangles. They recognise the connections
between similarity and the trigonometric ratios. Students calculate areas of shapes and the volume and surface area of right
prisms and cylinders. They use Pythagoras’ Theorem and trigonometry to find unknown sides of right-angled triangles.
Statistics and probability
Students compare techniques for collecting data in primary and secondary sources. They make sense of the position of the mean
and median in skewed, symmetric and bi-modal displays to describe and interpret data. Students calculate relative frequencies
to estimate probabilities, list outcomes for two-step experiments and assign probabilities for those outcomes. They construct
histograms and back-to-back stem-and-leaf plots.