Domain Curriculum Map Years 7-10
Domain Leader: Gary Hughes
Domain: Mathematics
Date: 17/9/13
Version 1 - draft 5
Broad Principles
This is a high level view of the Mathematics Curriculum at MGSC. Separate topic and lesson road maps are
prepared for more details on specific lesson foci, sequencing, AusVELS sub-strands/progression points,
resources, etc. The aim is to provide a challenging and engaging approach to achieving the best possible
Numeracy outcomes for all students in the College. This is therefore a living document that will reflect
continued improvements in teaching practice, the use of ICT and other resources and the levels of
engagement and differentiation.
Year 7
Term
1
Year 8
Year 9
Topics:
Representing & interpreting
data
Positive integers
Algebra
Topics:
Integers
Real numbers
Index laws
Applications of percentages
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Essential Questions:
Are you able to collect classify
and display different types of
data?
Can you use positive integers
in a range of problems types?
Do you understand the
purpose of algebra and how it
can be used to represent real
life situations?
Essential Questions:
Can you undertake a full set of
BODMAS operations on
integer and real numbers?
Can you determine
percentages and apply these
to real life situations?
Timeline:
See more detailed road maps
Essential Questions:
Are you able to use
Pythagoras’ Theorem to
determine the missing side
length in a variety of
problems?
Can you apply order of
operations and index laws to
whole numbers?
Can you use pronumerals to
assist in solving problems?
Timeline:
See more detailed road maps
Standards Addressed
AusVELS level 7.0 to 7.5
Timeline:
See more detailed road maps
Standards Addressed:
AusVELS level 6.0 to 6.5
Key skills/Knowledge
Standards Addressed
AusVELS level 8.0 to 8.5
Key skills/Knowledge
Statistics:
Classifying and displaying data
numerically & graphically
Analysing & comparing
measures of centre & spread
Positive Integers:
Place Value, addition &
subtraction, multiplication and
division, factors and multiples.
Algebra:
Using rules, formulae,
substitution, understanding
terms expressions and
equations
Distributive and associative
laws
Esther Weichert
Integers
Addition, subtraction,
multiplication and division of
integers
Mixed operations on integers
Real numbers
Addition, subtraction,
multiplication and division of
fractions and decimals
Terminating/recurring
decimals
Percentages, fractions and
decimals
Estimation
Index laws
Understanding index form
The index laws
Applications of percentages
Discount, profit and loss
estherweichert@gmail.com
Topic:
Pythagoras
Real Numbers
Algebra
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Key skills/Knowledge
Pythagoras
Identify the sides of a right
angled triangle
Use Pythagoras Theorem to
calculate the length of the
missing side
Recognise composite shapes
Determine Triples
Similarity of triangles
Number Skills
Order of operations
Index laws
Recognising surds, simplifying,
exact and approximate
answers
Algebra
Use pronumerals
Simplify algebraic expressions
Year 10
Topics:
Linear Algebra
Co-ordinate Geometry
Simultaneous equations &
inequations.
Surface Area and Volume
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Essential Questions:
Are you able to represent and
interpret linear equations,
inequations and simultaneous
equations on a cartesian
plane?
Can you calculate surface area
and volume of regular 3-D
shapes including spheres,
prisms and pyramids?
Timeline:
See more detailed road maps
Standards Addressed
AusVELS Levels 10.0 to 10A
Key skills/Knowledge
Linear Algebra
To plot a linear equation
identifying the gradient and y
intercept.
Simultaneous Equations.
To be able to plot
simultaneous linear equations
and inequations. To solve
simultaneous equations using
substitution, elimination and
the CAS.
Surface Area and Volume
To calculate surface area and
volume of regular 3-D shapes
including spheres, prisms and
pyramids
Assessment
Formative:
Classroom activities, progress
against lesson plan
Term
2
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Jacplus tests, assignment,
OnDemand assessment
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Jacplus tests, assignment,
OnDemand assessment
Translate real life problems
into algebraic equations
Expand brackets
Factorise expressions
Topics:
Measurement
3D shapes
Linear equations
Topics:
Algebra
Linear equations
Measurement
Topic:
Linear Equations
Linear Graphs
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Essential Questions:
Can you measure and convert
distance in different units?
Do you understand how to
determine the perimeter and
area of a range of geometric
shapes?
Can you construct and solve
linear equations?
Essential Questions:
Can you perform a full range
of algebraic operations?
Can you solve different types
of linear equations?
Do you understand how to
determine the perimeter, area
and volume of a range of
geometric shapes and solids?
Timeline:
See more detailed road maps
Timeline:
See more detailed road maps
Standards Addressed:
AusVELS level 6.0 to 6.5
Standards Addressed
AusVELS level 7.0 to 7.5
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Jacplus tests, assignment,
OnDemand assessment
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Essential Questions:
Can you work with using the
mathematical processes in
everyday situations with
competence and
understanding?
Can you use inverse
operations to solve for an
unknown value?
Timeline:
See more detailed road maps
Standards Addressed
AusVELS level 8.0 to 8.5
Key skills/Knowledge
Key skills/Knowledge
Key skills/Knowledge
Measurement:
Length, area, volume,
capacity, units and scales
Algebra
Understanding variables,
substitution, brackets,
Simplifying expressions
expanding brackets
Factorising
3D shapes
Scales, plans, house plans and
isometric drawings
Linear equations:
Building expressions and
solving linear equations using
flowcharts and the formal
method
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative
Jacplus tests, assignment,
OnDemand assessment
Linear equations
Identifying patterns
solving simple equations
solving equations with
unknown values on both sides
Measurement
Perimeter, circumference,
Area of regular shapes
Area of circles
Volumes of prisms and other
solids
Time, 12 hour and 24 hour
time zones
Assessment
Formative:
Classroom activities, progress
Esther Weichert
estherweichert@gmail.com
Linear Equations
Simplify algebraic expressions
by collecting like terms where
appropriate, backtracking,
inverse operations
Linear Graphs
Sketch linear graphs using the
coordinates of two points,
determine linear rules from
diagrams, tables of values and
graphs, and specify these rules
using words and algebra.
Graph simple non-linear
relations
Find the distance between two
points located on a Cartesian
plane using a range of
strategies
Find the midpoint and
gradient of a line segment
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Each topic has a written (tech
active) test. A measurement
project is incorporated.
OnDemand and JacPlus
testing, as required.
Topic:
Quadratic Equations
Quadratic Expressions
Financial Maths
Statistics
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Essential Questions:
Are you able to solve
quadratic equations using a
range of techniques?
Can you use a range of
mathematical calculations to
solve business maths
problems?
Can you use different
measures of central tendency
and spread to interpret data?
Timeline:
See more detailed road maps
Standards Addressed
AusVELS Level 10.0 to 10A
Key skills/Knowledge
Quadratic Expressions
Expansion, factorisation with
2,3 or 4 terms. Complete the
square.
Quadratic Equations
Solving quadratics, the
quadratic formula, and
discriminant and finding
solutions by inspection.
Financial Maths
Purchasing goods, buying on
terms, discounts, compound
interest, depreciation and loan
repayments.
Statistics
Central tendency, box and
whisker plots, standard
deviation, skewness,
scatterplots, populations and
samples, primary and
secondary data
Assessment
Term
3
Topics:
Rational numbers
Coordinates and the Cartesian
plane
Probability
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Essential Questions:
How do you perform different
operations using fractions?
Can you use coordinates to
locate map positions and
points on Cartesian plans and
interpret related graphs?
What is the meaning of chance
and probability and how can
this be measured and
represented?
Timeline:
See more detailed road maps
Standards Addressed:
AusVELS level 6.5 to 7.0
Key skills/Knowledge
Rational numbers
Identifying, simplifying, adding
and subtracting, multiplying
and dividing rational numbers.
Fractions as ratios.
Coordinates and the Cartesian
plane
Grid references on maps
The Cartesian plane
Plotting simple linear
relationships
Interpreting graphs
Probability
The language of chance,
sample space, simple
probability, the use of tables,
experimental probability
against lesson plan
Summative:
Jacplus tests, assignment,
OnDemand assessment
Summative:
Jacplus tests, assignment,
OnDemand assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Each topic has a written (tech
active) test. A statistics project
is incorporated. OnDemand
and JacPlus testing, as
required.
Topics
Coordinates and linear graphs
Congruence and
transformations
Topic:
Trigonometry
Quadratic Algebra
Topic:
Indices
Functions
Trigonometry
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Timeline:
See more detailed road maps
Essential Questions:
Can you apply the
Trigonometric algorithms for
Sine, Cosine and Tangent to
calculate a missing side or
angle in a range of problems?
Can you use a range of
strategies to factorise a
quadratic trinomial to
determine x & y intercepts
and the turning point?
Standards Addressed
AusVELS level 7.5 to 8.0
Timeline:
See more detailed road maps
Standards Addressed
AusVELS level 10.0 to 10A
Key skills/Knowledge
Standards Addressed
AusVELS level 8.0 to 8.5
Key skills/Knowledge
Essential Questions:
Can you represent a linear
equation graphically and
determine its key features?
Can you apply the principle of
congruence to triangles?
Coordinates and linear graphs
The Cartesian plane
Linear patterns
Plotting linear graphs
Extension: The y intercept and
the gradient
Extension”: Sketching linear
graphs
Congruence and
transformations
Congruent figures
Triangle constructions
Congruent triangles
Quadrilaterals
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative
Jacplus tests, assignment,
OnDemand assessment
Assessment
Formative:
Classroom activities, progress
against lesson plan
Key skills/Knowledge
Trigonometry
For a given angle identify the
adjacent, opposite and
hypotenuse on a right angled
triangle, determine the
appropriate algorithm to use
to calculate missing sides or
angles
Convert between true
bearings and compass
bearings, interpret worded
questions to formulate
equations that can be solved.
Quadratic Algebra
Factorise trinomials using a
range of strategies, sum and
product, recognising “Perfect
Squares” and “Difference of
Two Squares” and being able
to complete the square.
Transform a quadratic
between Trinomial, Factor and
Turning point form
Assessment:
Formative:
Summative
Esther Weichert
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
estherweichert@gmail.com
Essential Questions:
How do indices relate to very
small and very large numbers?
How do you apply parabolas
to trajectories and the use of
trigonometry in a range of
practical situations?
Timeline:
See more detailed road maps
Indices
Index laws
Negative Indices
Fractional Indices
Combining Index Laws
Functions
Plotting parabolas in a variety
of forms. Sketch exponential,
hyperbolic and circular
functions.
Trigonometry
Pythagoras’ Theorem in 2D
and 3D, Trig Ratios, angles of
elevation and depression,
compass directions.
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Written Test with an indices
task. On Demand and JacPlus
testing, as required.
Jacplus tests, assignment,
OnDemand assessment
Term
4
Topics:
Geometry
Money
Percentages
Transformations
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Classroom activities, progress
against lesson plan
Topics
Probability
Representing and interpreting
data
Ratio & rates
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Summative
Jacplus tests, assignment,
OnDemand assessment
Topic:
Quadratic Functions
Statistics
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Timeline:
see more detailed road maps
Essential Questions:
Can you factorise a quadratic
in each of the three forms in
order to determine the x & y
intercepts, turning point and
axis of symmetry?
Can you determine the
equation from the graph or a
set of points?
Can you compile raw data into
meaningful sets and
determine key measures of
average and spread to allow
comparison of data sets?
Timeline:
See more detailed road maps
Standards Addressed
AusVELS level 7.5 to 8.0
Standards Addressed
AusVELS level 8.0 to 8.5
Key skills/Knowledge
Key skills/Knowledge
Probability
Probability scales
Experimental probability
Sample spaces and theoretical
probability
Complementary events
Venn diagrams
Tree diagrams and two way
tables
Representing and interpreting
data
Samples and populations
Organising and displaying data
Measures of centre
Measures of spread
Analysing data
Quadratic Functions
Graph quadratic functions
from a table of values
Sketch a quadratic by
determining key points – x & y
intercepts and turning point
Determine the equation from
a graph
Transformations
Axis of symmetry
Translations
Reflections
Rotations and combined
transformations
Ratio & rates
Introduction of ratios
Simplifying ratios
Proportion
Comparing ratios
Dividing in a given ratio
Rates
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Jacplus tests, assignment,
OnDemand assessment
Assessment
Formative:
Classroom activities, progress
against lesson plan
Assessment
Formative:
Classroom activities, progress
against lesson plan
Essential Questions:
Can you identify the different
types of angles?
Can you describe the features
of a range of triangles and
quadrilaterals?
Can you determine
percentages and apply these
to problems with money?
Timeline:
see more detailed road maps
Standards Addressed:
AusVELS level 6.5 to7.0
Essential Questions:
Do you know how to
determine the probability of
random events and represent
possible outcomes?
Can you organise, display and
interpret data?
Do you understand how ratios
and proportions are related?
Topic:
Deductive Geometry
Matrices
Problem Solving
Probability
Big Ideas / Enduring
Understandings
Outcomes are documented in
the topic/student planning
documents
Essential Questions:
How are matrices used to
represent and solve real-life
problems?
Timeline:
See more detailed road maps
Standards Addressed
Ausvels Level 10.0 to 10A
Key skills/Knowledge
Matrices
Convert equations and
practical applications to
matrices, add & subtract
matrices and solve
simultaneous equations.
Key skills/Knowledge
Geometry
Measuring and constructing
angles
Identifying types of angles,
triangles, quadrilaterals
parallel and perpendicular
lines
Money
Money
Money & percentages
The unitary method
Percentages
Converting percentages,
fractions and decimals
Percentage of an amount
Common percentages
Esther Weichert
estherweichert@gmail.com
Statistics
Compile data into meaningful
displays of histograms, stem
and leaf or boxplots
Compare different data sets
using summary statistics
Deductive Geometry
Congruence, similarity and the
proof of quadrilaterals.
Problem Solving
To address a variety of
problem solving strategies
across all topics.
Assessment
Formative:
Classroom activities, progress
against lesson plan
Summative:
Deductive geometry test
(calculator and notes free).
Matrices Handout (worksheet
and assignment). A series of
problem solving tasks.
OnDemand and JacPlus
testing, as required.
Summative:
Jacplus tests, assignment,
OnDemand assessment
Summative:
Jacplus tests, assignment,
OnDemand assessment
-
Esther Weichert
End of Document -
estherweichert@gmail.com