Download Syllabus grid

MATHS QUEST FOR QUEENSLAND
Maths Quest for Queensland Book 1, Maths Quest for Queensland Book 2, Maths Quest for Queensland Book 3
Syllabus Grid
Strand: Number
Topic: Number concepts
Core Learning
Outcome
Core content
N 4.1
Students compare
and order whole
numbers and
common and
decimal fractions
of any size, make
connections
between key
percentages and
fractions and
describe how a
range of factors
influence financial
decisions
Numeration
 whole numbers
 decimal fractions
 key percentages (100%, 50%, 25%, 20%,
10%, 1%)
 fractions
o common fractions format
 terms (vinculum,
numerator, denominator)
o decimal fractions format
o percentage format
o equivalence
 square and cubic notation
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
1A The need for numbers
(Q1-4)
1B Place value (Q1-9)
1H Subsets of numbers (Q15, 13-20)
2A Understanding common
fractions (Q1-12)
2B Simplifying common
fractions (Q1-6)
2C Improper fractions and
mixed numbers (Q1-15)
You want more pizza?
3A Place value (Q1-13)
3B Comparing decimal
fractions (Q1-5)
3C Converting decimal
fractions to common
fractions (Q1-5)
3D Rounding (Q1-11)
4A Integers on the number
line (Q1)
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Using expanding formulas to
square large numbers
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
To order: Contact your local bookseller
Enquiries: Madonna Cavalliotis, Regional Sales Manager, Mobile: 0410 550 728, Phone: 07 3859 9683, Email: [email protected]
Number sense
 position and order of numbers
 connections between key percentages, unit
fractions and decimal fractions
 sensible adjustments of numbers
 everyday representation of numbers
 subsets of whole numbers
o prime and composite
o square
o triangular
Money
 financial decisions
o purchases (best buys, discounts)
o advertising (for purchases)
o methods of payment
o budgets for specific events
 key percentages
o simple interest
o discounts
o cashless transactions (cheques,
money orders, EFTPOS, store
cards)
1A The need for numbers
(Q1-4)
1B Place value (Q1-9)
Numbers as identifiers
1G Estimation (Q2-5)
1H Subsets of numbers (Q15, 13-20)
Book numbers
The sieve of Eratosthenes
1K Prime and composite
numbers (Q1-13)
2A Understanding common
fractions (Q1-12)
3A Place value (Q1-13)
3B Comparing decimal
fractions (Q1-5)
The javelin event
3D Rounding (Q1-11)
4A Integers on the number
line (Q1)
4B Positive integers and
zero on the number plane
(Q1-4)
3J Money (Q1-13)
Sale time – spending time!
The bagels game
What numbers are in my
list?
N 5.1
Students compare
and order integers,
use and interpret
index notation,
rates and ratios
and analyse
options and make
informed financial
decisions about
saving, credit and
debit.
Numeration
 integers
 index notation (whole numbers indices only)
 square root
 percentage
o whole percentages
o fractional
o greater than 100%
1H Subsets of numbers (Q612, 21, 22)
1I Index notation (Q1-12)
Finding square roots and
cube roots without a
calculator
3I Percentages (Q1-16)
4A Integers on the number
line (Q2-12)
Number sense
 position and order of numbers including
integers
 connections between squares and square
roots
 connections between percentages and
fractions
 sensible adjustments of numbers
3I Percentages (Q1-16)
4A Integers on the number
line (Q2-12)
Comparing temperatures
4C Integers on the number
plane (Q1-12)
Mountain climbing
4I Directed numbers on the
number line (Q1-4)
4J Directed numbers on the
number plane (Q1-11)
2A Introduction to ratios
(Q1-9)
2B Simplifying ratios (Q1-8)
2C Direct proportion (Q1-8)
2D Comparing ratios (Q110)
Cordial mixing
2E Increasing and
decreasing in a given ratio
(Q1-11)
2F Dividing in a given ratio
(Q1-12)
How high is that tree?
2G Speed (Q1-10)
Travelling speeds
3A What are indices? (Q1,
2)
3B powers and bases (Q1-7)
Patterns with indices
3C Multiplication using
indices (Q1-6)
3D Division using indices
(Q1-6)
3E Zero index (Q1-7)
3F Raising a power to
another power (Q1-6)
3G Square and cube roots
(Q1-3)
The chessboard problem
3G Square and cube roots
(Q1-3)
2F Review of index laws
(Q1-7)
Converting recurring
decimal fractions to common
fractions
Percentages in tests
Money
 financial decisions
o credit and debit transactions
o charges/fees (including GST)
o advertising (of financial services
o short term benefits and/or long term
consequences
o methods of saving
 cashless transactions (direct debit, BPAY)
 percentages
o interest
o discounts
Sale time – spending time!
1A Money (Q1-14)
How much is one million
dollars?
Movie munchies
1C Discount (Q1-14)
Successive discounts
1D Profit and loss (Q1-14)
1E Simple interest (Q1-13)
Money transactions
1G Calculating GST and
VAT (Q1-11)
N 6.1
Students compare
and order rational
numbers, interpret
and use scientific
notation, and
analyse options
and make
informed personal
budgeting and
other financial
decisions.
Numeration
 rational numbers
 index notation (integer indices)
 scientific notation (positive and negative
powers of 10)
Number sense
 position and order within the set of rational
numbers
 connections between scientific notation and
other representations of numbers
 sensible adjustment of numbers
3A What are indices? (Q1,
2)
3B Powers and bases (Q1-7)
Patterns with indices
3C Multiplication using
indices (Q1-6)
3D Division using indices
(Q1-6)
3E Zero index (Q1-7)
3F Raising a power to
another power (Q1-6)
3G Square and cube roots
(Q4-7)
The chessboard problem
2J Scientific notation (Q110)
Alpha Centauri
2J Scientific notation (Q110)
Alpha Centauri
Money
 financial decisions and budgeting
o income: gross, net
o expenditure
o saving for a purpose
o borrowing
o savings plan
o planning for an event
o consequences of over-commitment
 percentages
o compound growth
 cashless transactions (internet and phone
banking)
 comparisons of rates, fees and charges
N DB 6.1a
Students interpret
and use the
various sets of real
numbers and
integer and unit
fractional powers.
N DB 6.1b
Students make
informed decisions
with regard to
earning, spending
and saving money,
with reference to
schedules of
government and
business charges.
1A Wages and salaries (Q110)
1B Working overtime (Q111)
1C Piecework (Q1-12)
1D Commission and
royalties (Q1-14)
Earning money
1E Gross and net pay (Q112)
1F Budgeting (Q1-12)
Understanding percentages
1H Compound interest (Q116)
Compound interest
spreadsheets
2A Irrational numbers (Q111)
Plotting irrational numbers
on the number line
2B Simplifying surds (Q1-7)
Braking distances
2G Negative indices (Q1-5)
2H Fractional indices (Q110)
Standard paper sizes
2I Further use of index laws
(Q1-9)
Investigating government
payments
Examining bank fees and
taxes
Strand: Number
Topic: Addition and subtraction
Core Learning
Outcome
Core content
N 4.2
Students identify
and solve
addition and
subtraction
problems
involving any
whole numbers
and decimal
fractions,
selecting from a
range of
computation
methods,
strategies and
known number
facts.
Addition and Subtraction
 whole numbers
 decimal fractions including with different
numbers of decimal places
 laws of operation for addition
 Connections
o Inverse (backtracking)
Mental computation strategies
 for whole numbers and decimal fractions
o making numbers manageable
o count on and back
o doubling
o changing operations
Computation methods
 mental computations
o exact
o approximate
 written recordings
o student-generated
o traditional methods
o calculators, computers
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
1C Adding and subtracting
whole numbers (Q1-17)
Consecutive whole numbers
Going dotty with dice
1F Order of operations (Q16)
Darts competition
1G Estimation (Q2-4, 6, 7)
Averages and fractions
3E Adding and subtracting
decimal fractions (Q1-16)
Palindromic decimals
1C Adding and subtracting
whole numbers (Q1-17)
1F Order of operations (Q16)
1G Estimation (Q2-4, 6, 7)
3E Adding and subtracting
decimal fractions (Q1-16)
1C Adding and subtracting
whole numbers (Q1-17)
1F Order of operations (Q16)
1G Estimation (Q2-4, 6, 7)
3E Adding and subtracting
decimal fractions (Q1-16)
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
N 5.2
Students identify
and solve
addition and
subtraction
problems
involving
positive rational
numbers using a
range of
computation
methods and
strategies.
N 6.2
Students identify
and solve
addition and
subtraction
problems
Addition and subtraction
 positive rational numbers
o whole numbers
o decimal fractions
o common fractions
 related denominators
 Connections
o inverse (backtracking)
2D Adding and subtracting
common fractions (Q1-20)
Egyptian fractions
Musical fractions
Averages and fractions
2G Mixed operations with
common fractions (Q1-3)
Mental computation strategies
 relevant to whole numbers, common
fractions and decimal fractions
 generalisations about addition and
subtraction
2D Adding and subtracting
common fractions (Q1-20)
Computation methods
 mental computations
o exact
o approximate
 written recordings
o student-generated
o traditional methods
 calculators, computers
2D Adding and subtracting
common fractions (Q1-20)
2G Mixed operations with
common fractions (Q1-3)
Addition and subtraction
 rational numbers
 Connections
o inverse (backtracking)
4D Addition of integers
(Q1-11)
4E Subtraction of integers
(Q1-9)
4H Combined operations
(Q1-4)
1A Wages and salaries (Q110)
1B Working overtime (Q111)
1C Piecework (Q1-12)
1D Commission and
royalties (Q1-14)
Earning money
1E Gross and net pay (Q112)
1A Wages and salaries (Q110)
1B Working overtime (Q111)
1C Piecework (Q1-12)
1D Commission and
royalties (Q1-14)
Earning money
1E Gross and net pay (Q112)
1A Wages and salaries (Q110)
1B Working overtime (Q111)
1C Piecework (Q1-12)
1D Commission and
royalties (Q1-14)
Earning money
1E Gross and net pay (Q112)
involving
rational numbers
using a range of
computation
methods and
strategies.
N DB 6.2
Students identify
and solve
addition and
subtraction
problems
involving real
numbers using a
range of
computation
methods and
strategies.
Mental computation strategies
 relevant to integers and whole numbers,
common fractions and decimal fractions
 generalisations about addition and
subtraction
4D Addition of integers
(Q1-11)
4E Subtraction of integers
(Q1-9)
Computation methods
 mental computations
o exact
o approximate
 written recording
o student-generated
o traditional methods
 calculators, computers
4D Addition of integers
(Q1-11)
4E Subtraction of integers
(Q1-9)
4H Combined operations
(Q1-4)
2C Addition and subtraction
of surds (Q1-5)
Strand: Number
Topic: Multiplication and division
Core Learning
Outcome
Core content
N 4.3
Students identify
and solve
multiplication and
division problems
involving whole
numbers, decimal
fractions, common
fractions,
percentages and
rates, selecting
from a range of
computation
methods,
strategies and
known number
facts.
Multiplication and Division
 Multiplication
o whole numbers
o decimal fractions to hundredths
o recall multiplication facts to 9  9
o laws of operation for multiplication
 commutative
 associative
 distributive
 Division
o whole number
o decimal fractions to hundredths
o recall division facts
 Connections
o relationships between division and
common fractions
o inverse (backtracking)
Fractions and proportions
 Fractions
o unit fractions as operators
o vinculum for division
o links between key percentages,
unit fractions and decimal fractions
 Rates
o simple everyday rates such as
kilometres per hour
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
1D Multiplying whole
numbers (Q1-22)
1E Dividing whole numbers
(Q1-16)
1F Order of operations (Q16)
1G Estimation (Q1-7)
How many tiles?
2E Multiplying common
fractions (Q1-4, 7)
2F Dividing common
fractions (Q1-5)
3F Multiplying decimal
fractions (Q1-20)
3G Dividing decimal
fractions (Q1-14)
3H Converting common
fractions to decimal
fractions (Q1-4)
Common fractions to
decimal fractions
2E Multiplying common
fractions (Q1-4, 7)
2F Dividing common
fractions (Q1-5)
2H Rates (Q1-17)
3H Converting common
fractions to decimal
fractions (Q1-4)
Common fractions to
decimal fractions
Mountain climbing
Wet or dry reunion?
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
Mental computation strategies
 for beyond basic facts
o recall all multiplication and
division facts to 9  9
o doubling
o halving
o build up, build down
o student-generated
o place value
o adjusting numbers
Computation methods
 mental computations
o exact
o approximate
 written recordings
o student-generated
o traditional methods (one and two
digit multipliers; single digit whole
number divisors)
 formats for recording division
o

13/4, 13  4, 4 13 ,
calculators, computers
13
4
1D Multiplying whole
numbers (Q1-22)
1E Dividing whole numbers
(Q1-16)
1F Order of operations (Q16)
1G Estimation (Q1-7)
1J Multiples and factors
(Q20-29)
2E Multiplying common
fractions (Q1-4, 7)
2F Dividing common
fractions (Q1-5)
3F Multiplying decimal
fractions (Q1-20)
3G Dividing decimal
fractions (Q1-14)
1D Multiplying whole
numbers (Q1-22)
1E Dividing whole numbers
(Q1-16)
1F Order of operations (Q16)
1G Estimation (Q1-7)
1J Multiples and factors
(Q20-29)
2E Multiplying common
fractions (Q1-4, 7)
2F Dividing common
fractions (Q1-5)
3F Multiplying decimal
fractions (Q1-20)
3G Dividing decimal
fractions (Q1-14)
3H Converting common
fractions to decimal
fractions (Q1-4)
Common fractions to
decimal fractions
N 5.3
Students identify
and solve
multiplication and
division problems
involving positive
rational numbers,
rates, ratios and
direct proportions
using a range of
computation
methods and
strategies.
Multiplication and division
 Multiplication
o positive rational numbers
 whole numbers
 common fractions
 decimal fractions
 numbers with indices
 Division
o positive rational numbers
 whole numbers
 common fractions
 decimal fractions
 Connections
o inverse (backtracking)
Fractions and proportions
 Fractions
o percentages, common fractions,
decimal fractions
 Rates
o calculations involving everyday
rates such as mobile phone charges
 Ratios
o simple everyday ratios such as 1
part juice concentrate to 4 parts
water
o symbol for ratio ( : )
 Direct proportion
o calculations with direct proportion
(including graphical
representations)
2E Multiplying common
fractions (Q5, 6, 8-14)
2F Dividing common
fractions (Q6-9)
2G Mixed operations with
common fractions (Q1-3)
Movie munchies
1B Common percentages
and shortcuts (Q1-15)
2E Multiplying common
fractions (Q5, 6, 8-14)
2F Dividing common
fractions (Q6-9)
3I Percentages (Q1-16)
Movie munchies
1B Common percentages
and shortcuts (Q1-15)
1C Discount (Q1-14)
Successive discounts
1D Profit and loss (Q1-14)
1E Simple interest (Q1-13)
Money transactions
2A Introduction to ratios
(Q1-9)
2B Simplifying ratios (Q18)
2C Direct proportion (Q112)
2D Comparing ratios (Q110)
Cordial mixing
2E Increasing and
decreasing in a given ratio
(Q1-11)
2F Dividing in a given ratio
(Q1-12)
How high is that tree?
2G Speed (Q1-11)
Travelling speeds
1A Wages and salaries (Q110)
1B Working overtime (Q111)
1C Piecework (Q1-12)
1D Commission and
royalties (Q1-14)
Earning money
1E Gross and net pay (Q112)
1F Budgeting (Q1-12)
Understanding percentages
1H Compound interest (Q116)
Compound interest
spreadsheets
Percentages in tests
Musical notes
Mental computation strategies
 relevant to whole numbers, common
fractions and decimal fractions
 generalisations about multiplication and
division
2E Multiplying common
fractions (Q5, 6, 8-14)
2F Dividing common
fractions (Q6-9)
Movie munchies
1B Common percentages
and shortcuts (Q1-15)
1C Discount (Q1-14)
Successive discounts
1D Profit and loss (Q1-14)
1E Simple interest (Q1-13)
Money transactions
2A Introduction to ratios
(Q1-9)
2B Simplifying ratios (Q18)
2C Direct proportion (Q112)
2D Comparing ratios (Q110)
Cordial mixing
2E Increasing and
decreasing in a given ratio
(Q1-11)
2F Dividing in a given ratio
(Q1-12)
How high is that tree?
2G Speed (Q1-11)
Travelling speeds
1A Wages and salaries (Q110)
1B Working overtime (Q111)
1C Piecework (Q1-12)
1D Commission and
royalties (Q1-14)
Earning money
1E Gross and net pay (Q112)
1F Budgeting (Q1-12)
Understanding percentages
1H Compound interest (Q116)
Compound interest
spreadsheets
Percentages in tests
Musical notes
N 6.3
Students identify
and solve
multiplication and
division problems
involving rational
numbers, rates,
ratios and direct
Computation methods
 mental computations
o exact
o approximate
 written recordings
o student-generated
o traditional methods
 calculators, computers
2E Multiplying common
fractions (Q5, 6, 8-14)
2F Dividing common
fractions (Q6-9)
2G Mixed operations with
common fractions (Q1-3)
Multiplication and division
 Multiplication
o Rational numbers
 negative numbers (with
calculator)
 Connections
o inverse (backtracking)
4F Multiplication of
integers (Q1-8)
Number pattern table
4G Division of integers
(Q1-5)
4H Combined operations
(Q1-4)
Movie munchies
1B Common percentages
and shortcuts (Q1-15)
1C Discount (Q1-14)
Successive discounts
1D Profit and loss (Q1-14)
1E Simple interest (Q1-13)
Money transactions
2A Introduction to ratios
(Q1-9)
2B Simplifying ratios (Q18)
2C Direct proportion (Q112)
2D Comparing ratios (Q110)
Cordial mixing
2E Increasing and
decreasing in a given ratio
(Q1-11)
2F Dividing in a given ratio
(Q1-12)
How high is that tree?
2G Speed (Q1-11)
Travelling speeds
1A Wages and salaries (Q110)
1B Working overtime (Q111)
1C Piecework (Q1-12)
1D Commission and
royalties (Q1-14)
Earning money
1E Gross and net pay (Q112)
1F Budgeting (Q1-12)
Understanding percentages
1H Compound interest (Q116)
Compound interest
spreadsheets
Percentages in tests
Musical notes
and inverse
proportions using
a range of
computation
methods and
strategies.
A fair price for a pizza
Maintaining an Olympic
pool
Fractions and proportions
 Fractions
o fractional percentages of numbers
 Rates
o comparisons of rates expressed in
various forms
 Ratio and proportion
o as direct proportion
o as inverse proportion
Mental computation strategies
 relevant to rational numbers
 generalisations about multiplication and
division
4F Multiplication of
integers (Q1-8)
4G Division of integers
(Q1-5)
4H Combined operations
(Q1-4)
Braking distances
3A Direct proportion (Q1-7)
3B Direct proportion – the
constant of proportionality
(Q1-12)
3C Direct proportion and
ratio or rate (Q1-9)
Leonardo’s observations
3D Partial proportion (Q19)
3E Inverse proportion (Q111)
The building problem
3F Identifying the type of
proportion (Q1)
SOS!
Braking distances
3A Direct proportion (Q1-7)
3B Direct proportion – the
constant of proportionality
(Q1-12)
3C Direct proportion and
ratio or rate (Q1-9)
Leonardo’s observations
3D Partial proportion (Q19)
3E Inverse proportion (Q111)
The building problem
3F Identifying the type of
proportion (Q1)
SOS!
Computation methods
 mental computations
o exact
o approximate
 written recordings
o student-generated
o traditional methods
 calculators, computers
N DB 6.3a
Students multiply
and divide rational
numbers and
calculate rates of
change from
graphs.
N DB 6.3b
Students identify
and solve
multiplication
problems
involving real
numbers using a
range of
computation
methods and
strategies.
4F Multiplication of
integers (Q1-8)
4G Division of integers
(Q1-5)
4H Combined operations
(Q1-4)
Braking distances
3A Direct proportion (Q1-7)
3B Direct proportion – the
constant of proportionality
(Q1-12)
3C Direct proportion and
ratio or rate (Q1-9)
Leonardo’s observations
3D Partial proportion (Q19)
3E Inverse proportion (Q111)
The building problem
3F Identifying the type of
proportion (Q1)
SOS!
What’s our money worth
overseas?
Focus on variation
Compound interest
spreadsheets
2D Multiplication and
division of surds (Q1-9)
2E Writing surd fractions
with a rational denominator
(Q1-6)
Many hands make light
work!
Strand: Patterns and Algebra
Topic: Patterns and functions
Core Learning
Outcome
Core content
PA 4.1 Students
identify and create
representations of
patterns and
functions and
apply backtracking
to solve simple
equations that
involve
combinations of
the four
operations.
Patterns
 rules based on the position of terms –
combinations of operations
 calculators
 ordered pairs and graphs (with discrete data
only)
Functions
 input  output – with combinations of
operations
 rules relating two sets of data
 backtracking (inverse)
o with combinations of operations
 representations of relationships
o ordered pairs
o tables, line graphs, equations (number
sentences)
o trends
o discrete and continuous data
o electronic and, or manual
Maths Quest for Queensland
Book 1
Exercises and Investigations /
Enrichment activities
5A Number patterns (Q1-5)
5B Geometric patterns (Q1-4)
Even number triangle
5B Geometric patterns (Q1-4)
6A Using inverse operations
(Q3-6)
6B Building up expressions
(Q1-3)
6C Solving equations using
backtracking (Q1-5)
Maths Quest for Queensland
Book 2
Exercises and Investigations /
Enrichment activities
Patterns with indices
The chessboard problem
Pascal’s triangle
Maths Quest for Queensland
Book 3
Exercises and Investigations /
Enrichment activities
PA 5.1 Students
interpret and
compare different
representations of
linear and simple
non-linear
functions and
solve the related
problems.
Functions
 ordered pairs – four quadrants
 representations of variables
o words
o symbols
 linear
o representations – tables, line graphs,
linear equations, proportion equations
o dependent and independent variables
o discrete and continuous
o trends
 non-linear models
o dependent and independent variables
o discrete and continuous
o representations – tables, line graphs
o trends
 electronic and manual representations
5C Graphing number patterns
and geometric patterns (Q1-11)
5D Writing and finding
formulas (Q1-12)
Predicting values
5E Using formulas (Q1-3)
Rules of thumb
Nutrition panels
5F Problem solving using
algebra (Q1-7)
How high will it grow?
5G Terms, expressions and
equations (Q1-5)
2C Direct proportion (Q9-12)
2G Speed Q11
6A Plotting linear graphs (Q14)
6G Plotting points to draw
graphs of quadratic functions
(Q1-6)
PA 6.1
Students create
mathematical
models of realistic
situations and use
interpretations of
the models to draw
conclusions or
make decisions.
PA DB 6.1a
Students interpret
and model trends
in data and solve
problems using
graphs, formulae
and equations.
PA DB 6.1b
Students identify
and interpret the
properties of
various families of
functions.
PA DB 6.1c
Students specify
the domain of a
function using
inequality
symbols.
Functions
 linear model
o equations
o representations – tables, graphs
o trends
 non-linear models
o representations – tables, graphs
o trends
 electronic and manual representations
6B General equation of a
straight line (Q1-9)
6C Sketching linear graphs
(Q1-6)
6D Determining linear rules
(Q1-8)
6E Applications of linear
graphs (Q1-10)
Families of curves
Profit or loss
6F Key features of the graph of
a quadratic function (Q1-5)
6G Plotting points to draw
graphs of quadratic functions
(Q1-6)
Filling containers
6H Sketching parabolas of the
form y = ax2 (Q1-7)
What is the effect of changing
a?
What have radio telescopes got
to do with parabolas?
6D Plotting parabolas (Q1-12)
Finding intercepts and turning
points using a graphics
calculator
Catch this!
The game of golf
Bicycle helmets
6E Sketching parabolas using
the basic graph of y = x2 (Q17)
6F Sketching parabolas of the
form y = x2 + bx + c (Q1-6)
5E Solving linear inequations
(Q1-9)
Strand: Patterns and Algebra
Topic: Equivalence and equations
Core Learning
Outcome
Core content
PA 4.2 Students
create and
interpret equations
containing
unknowns, explain
the effect of order
of operations, and
justify solutions to
the equations
Equivalence
 order convention
 methods for solving equations
o balance
o guess and check
Representations
 symbols
o equals, =
o not equals, 
o brackets
 unknowns
o shapes, boxes
o question marks
 arrow diagrams
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
6A Using inverse operations
(Q1, 2)
6B Building up expressions
(Q4, 5)
6C Solving equations using
backtracking (Q6, 7)
Mystical powers
6A Using inverse operations
(Q1, 2)
6B Building up expressions
(Q4, 5)
6C Solving equations using
backtracking (Q6, 7)
Mystical powers
6D Checking solutions (Q13, 6)
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
PA 5.2
Students interpret
and solve linear
equations related
to realistic
problems using
algebraic and
graphical
methods.
Equivalence
 methods for solving equations
o substitution
o balance
o backtracking
o guess and check
o graphical displays
o tabular data
Representations
 variable
o words
o letter symbols
 algebraic conventions
o implied multiplication (3t)
o



implied division (
a
)
3
o computer format (*, /)
arrow diagrams
linear
proportion equations
6D Checking solutions (Q4,
5, 7, 8)
6E Keeping equations
balanced (Q1-9)
6F Doing the same to both
sides (Q1-8)
6G Solving word problems
(Q1-21)
Kids’ hotline walk-a-thon
5I Multiplying and dividing
pronumerals (Q1-6)
6D Checking solutions (Q4,
5, 7, 8)
6E Keeping equations
balanced (Q1-9)
Mobiles
Number game
6F Doing the same to both
sides (Q1-8)
6G Solving word problems
(Q1-21)
Kids’ hotline walk-a-thon
5A Solving equations with
the pronumeral on one side
(Q1-11)
5B Solving equations with
the pronumeral on both side
(Q1-5)
Musical notes
Converting recurring
decimal fractions to
common fractions
5A Solving equations with
the pronumeral on one side
(Q1-11)
5B Solving equations with
the pronumeral on both side
(Q1-5)
Musical notes
Converting recurring
decimal fractions to
common fractions
PA 6.2
Students interpret
and solve
mathematical
models of realistic
situations using
algebraic,
graphical and
electronic
methods.
Equivalence
 methods for solving equations
o graphical methods
o substitution
o balance
o backtracking
o guess and check
 simplifying
 collecting like terms
 expanding
5H Simplifying expressions
(Q1-6)
5J Expanding and
simplifying (Q1-3)
4A Expanding single
brackets (Q1-3)
Oops! Any errors?
4B Expanding two brackets
(Q1-3)
4C Expanding pairs of
brackets (Q1-4)
What has area got to do
with expanding?
4D Expansion patterns (Q14)
Using expanding formulas
to square large numbers
4E More complicated
expansions (Q1-30)
Pascal’s triangle
Billboard costs
4F Factorising using the
highest common factor (Q18)
4G Factorising using the
difference of two squares
rule (Q1-6)
What has area got to do
with factorising?
4H Simplifying algebraic
fractions (Q1-6)
5C Solving equations with
brackets (Q1-6)
5D Solving problems with
linear equations (Q1-11)
5E Solving linear
inequations (Q1-9)
Rearranging formulas
5F Rearranging formulas
(Q1-4)
Maximum viewing area
Steps and stairs
4A Expanding algebraic
expressions (Q1-12)
4B Factorising using
common factors (Q1-5)
4C Factorising expressions
with two or four terms (Q113)
4D Factorising expressions
with three terms (Q1-50)
Mouse pad dimensions
4E Factorising more
complex expressions with
three terms (Q1-3)
4F Mixed factorising
practice (Q1-40)
4G Simplifying algebraic
fractions (Q1-3)
What’s the problem?
5A Graphical solution of
simultaneous equations (Q17)
How many cockatoos and
kangaroos?
Cat and mouse problem
Representations
 linear, proportion equations
 life-related non-linear models
 algebraic conventions
o logical setting out
 models
5H Simplifying expressions
(Q1-6)
5J Expanding and
simplifying (Q1-3)
4A Expanding single
brackets (Q1-3)
Oops! Any errors?
4B Expanding two brackets
(Q1-3)
4C Expanding pairs of
brackets (Q1-4)
What has area got to do
with expanding?
4D Expansion patterns (Q14)
Using expanding formulas
to square large numbers
4E More complicated
expansions (Q1-30)
Pascal’s triangle
Billboard costs
4F Factorising using the
highest common factor (Q18)
4G Factorising using the
difference of two squares
rule (Q1-6)
What has area got to do
with factorising?
4H Simplifying algebraic
fractions (Q1-6)
5C Solving equations with
brackets (Q1-6)
5D Solving problems with
linear equations (Q1-11)
5E Solving linear
inequations (Q1-9)
Rearranging formulas
5F Rearranging formulas
(Q1-4)
Maximum viewing area
Steps and stairs
4A Expanding algebraic
expressions (Q1-12)
4B Factorising using
common factors (Q1-5)
4C Factorising expressions
with two or four terms (Q113)
4D Factorising expressions
with three terms (Q1-50)
Mouse pad dimensions
4E Factorising more
complex expressions with
three terms (Q1-3)
4F Mixed factorising
practice (Q1-40)
4G Simplifying algebraic
fractions (Q1-3)
What’s the problem?
5A Graphical solution of
simultaneous equations (Q17)
How many cockatoos and
kangaroos?
Cat and mouse problem
Chords and triangles in
circles
PA DB 6.2
Students
manipulate
expressions and
solve equations
including
simultaneous and
quadratic
equations.
4G Simplifying algebraic
fractions (Q1-3)
Equal or not equal?
4H Adding and subtracting
algebraic fractions (Q1-7)
4I Algebraic applications
(Q1-8)
5B Algebraic solutions of
simultaneous equations –
elimination method (Q1-5)
Simultaneous equations in 3
unknowns
5C Algebraic solutions of
simultaneous equations –
substitution method (Q1-3)
Cramer’s rule for
simultaneous equations
5D Problem solving using
simultaneous equations (Q118)
Concert hall seating
6A Solving quadratic
equations by factorising
(Q1-16)
6B Solving quadratic
equations using the
quadratic formula (Q1-6)
6C Using the discriminant
(Q1-6)
Flying dolphin
Satellite height
Strand: Measurement
Topic: Length, mass, area and volume
Core Learning
Outcome
Core content
M 4.1
Students choose
appropriate units
when estimating
and measuring and
explain
relationships
between
dimensions when
investigating
areas, volumes and
lengths of
boundaries of
rectangles and
prisms.
Measurement terms and attributes
 perimeter
 circumference
 square and cubic units
Units of measure
 millimetres (mm), centimetres (cm), metres
(m) and kilometres (km)
 tonnes (t) and kilograms (kg)
 square metre (m2)
 square centimetre (cm2)
 cubic centimetre (cm3)
 cubic metre (m3)
 measuring instruments
 related historical units of measure
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
7C Perimeter (Q1-20)
Measuring curves
Maximise the perimeter
Cost of a new fence
7D Metric units of area (Q17, 9-12)
7G Volume and capacity
(Q1, 2, 13-26)
7A Metric units of length
(Q1-14)
Measuring lengths
7D Metric units of area (Q17, 9-12)
7G Volume and capacity
(Q1, 2, 13-26)
8G Mass (Q1-17)
Estimating length and mass
Comparing mass
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
How much is one million
dollars?
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
Relationships
 the larger the unit the fewer required and vice
versa
o metres, centimetres and millimetres
o kilograms and tonnes
 square centimetres and square metres
 relationships between:
o length, width and area of rectangle
o length, width and height and volume
of prism
o length of side and perimeter
M 5.1
Students develop
formulae to
calculate areas,
volumes and
lengths of
boundaries where
the relationships
between
dimensions are
known and
Measurement terms and attributes
 perimeter
 circumference
 diameter
 radius
 pi
Units of measure
 square metre (m2)
 hectares (ha) and square kilometres (km2)
 measuring instruments
 historical units of measure
7B Converting units of
length (Q1-23)
A metric unit converter
7C Perimeter (Q1-20)
7D Metric units of area (Q17, 9-12)
Investigating the area of a
rectangle
What area does your hand
cover?
The size of tangram pieces
Volume of a rectangular
prism
7G Volume and capacity
(Q1, 2, 13-26)
8G Mass (Q1-17)
Estimating length and mass
Comparing mass
7A Perimeter (Q1-15)
7D Metric units of area Q8
7A Perimeter (Q1-7)
investigate a range
of other shapes to
explain the
relationships
between
dimensions.
Relationships
 the larger the unit the fewer required and vice
versa
o millilitres and cubic centimetres
o hectares and square metres
 relationships between:
o diameter and circumference of circle
(pi)
o length and width (height), and areas
of triangles and parallelograms
o areas of triangles and areas of
parallelograms (same length, same
width or height)
o area of circles and irregular shapes
 formulae
o area of rectangle
o volume of prism
o perimeter of rectangles including
squares
7E Area of rectangles and
triangles (Q1-22)
7F Area of composite
shapes (Q1-10)
7G Volume and capacity
(Q3-12, 27-30)
Around the house
What has area got to do
with expanding?
What has area got to do
with factorising?
Maximum viewing area
7A Perimeter (Q1-15)
7B Area of a parallelogram
(Q1-8)
Area of a parallelogram
7C Area of a trapezium
(Q1-7)
Area of a trapezium
7F Surface area of
rectangular and triangular
prisms (Q1-12)
Painting cubes
7H Volume and capacity of
prisms (Q1-4, 8, 10, 11, 13,
14)
Maintaining an Olympic
pool
Volume and capacity
M 6.1
Students interpret,
analyse and solve
measurement
problems and
justify selections
and applications of
formulae.
Measurement terms and attributes
 Pythagoras
 tangent
 opposite and adjacent sides
 hypotenuse
Relationships
 within right-angled triangles
o Pythagoras’ Theorem
o tangent ratio
 formulae
o circumference of circle
o area of circle
o area of triangle
o volume of cylinder
o volumes of pyramids and cones
 compound shapes and objects
8A Pythagoras’ theorem
(Q1-11)
Pythagoras’ theorem)
8B Finding the length of a
shorter side (Q1-13)
8C Composite shapes (Q127)
8D Naming the sides of a
right-angled triangle (Q1-6)
The tangent ratio
8E The tangent ratio (Q1-9)
8F Finding side lengths
(Q1-8)
8G Finding the size of an
angle (Q1-7)
Using an inclinometer to
measure inaccessible
heights
8H Applications of
Pythagoras’ theorem and
trigonometry (Q1-10)
Length of shadows
7A Perimeter (Q3-15)
The diameter of a circle and
its circumference – any
connection?
7D Area of a circle (Q1-14)
Area of a circle
A fair price for a pizza
7E Composite shapes (Q110)
Designing a one-bedroom
unit
7G Surface area of a
cylinder (1-6)
7H Volume and capacity of
prisms (Q 5-7, 9, 12, 15, 16)
8A Trigonometric ratios
(Q1-7)
11A Circles, chords and
tangents (Q3-8)
7A Perimeter (Q1-7)
7B Area (Q1-6)
7C Total surface area (Q1-7)
7D Volume and capacity
(Q1-8)
Comparing volumes of
pyramids and prisms
7E Length, area and volume
changes with dilations (Q4,
6-16)
8A Trigonometric ratios
(Q1-7)
11A Circles, chords and
tangents (Q3-8)
11D Great circles (Q1-10)
SOS!
How big is our Earth?
M DB 6.1a
Students use
combinations of
procedures and
formulae to solve
multi-step
problems.
Shortest path
Will the house stand up?
Ernie’s didgeridoo
Electrical cable
Tethered donkey
M DB 6.1b
Students apply
trigonometric
ratios to particular
situations
involving
triangles.
Tethered donkey
7A Perimeter (Q8-15)
7B Area (Q7-10)
Teardrops
7C Total surface area (Q812)
7D Volume and capacity
(Q9-15)
Water tank worries
Satellite height
8G Graphs of y = sin θ and
y = cos θ (Q1-11)
Investigating the graphs of
y = sin θ and y = cos θ
8A Trigonometric ratios
(Q1-7)
The cosine ratio
8B Using a calculator to
calculate trigonometric ratios
(Q1-13)
8C Using trigonometric
ratios to find side lengths
(Q1-8)
8D Using trigonometric
ratios to find angles (Q1-8)
8E Applications of
trigonometry (Q1-20)
Satellite height
Patchwork sewing
8F Trigonometry and
bearings (Q5-12)
Which way do I go?
8G Graphs of y = sin θ and
y = cos θ (Q1-11)
Investigating the graphs of
y = sin θ and y = cos θ
Strand: Measurement
Topic: Time
Core Learning
Outcome
Core content
M 4.2
Students read,
record and
calculate with 24hour time and
develop timetables
and calendars to
plan and organise
events or
activities.
Units and conventions
 units
o decade
o century
 24-hour time
 personal timetables, diaries (electronic or
manual)
 timelines
 calendars
Relationships
 days, weeks, months and years
 hour and minutes
 decade and century
 24 hour time and 12 hour time
 duration
o time calculations
Units and conventions
 Australian time zones
o daylight saving time
 timetables
Relationships
 decimal representations of time units
 duration
o time calculations
o timetables of more than one week
duration
M 5.2
Students interpret
and solve realistic
problems related
to time
management and
time zones within
Australia.
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
8A Time calculations (Q12,
16-23)
8B 24-hour clock (Q1-13)
Using 24-hour time
8C The calendar (Q1-16)
8D Time lines (Q1-11)
8A Time calculations (Q12,
16-23)
8B 24-hour clock (Q1-13)
8C The calendar (Q1-16)
8D Time lines (Q1-11)
8E Timetables (Q1-20)
8F Time zones and flight
schedules (Q1-23)
Up, up and away!
8E Timetables (Q1-20)
8F Time zones and flight
schedules (Q1-23)
Up, up and away!
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
M 6.2
Students analyse
and use a variety
of timetables to
justify time
management
decisions and
interpret and solve
realistic problems
involving
international time
zones.
Units and conventions
 international zones
o Greenwich Mean Time
o International Date Line
 timetables
8E Timetables (Q1-20)
8F Time zones and flight
schedules (Q1-23)
Up, up and away!
Greenwich Mean Time
Relationships
 time zones, latitude and longitude
 synchronisation of events
 duration
o time calculations
8E Timetables (Q1-20)
8F Time zones and flight
schedules (Q1-23)
Up, up and away!
SOS!
Strand: Chance and Data
Topic: Chance
Core Learning
Outcome
Core content
CD 4.1
Students analyse
experimental data
and compare
numerical results
with predicted
results to inform
judgments about
the likelihood of
particular
outcomes.
Likelihood
 language of chance
o frequency table
o relative frequency
 probability values
o impossible to certain, 0 to 1, key
percentages between 0% to 100%
o relate colloquialisms to probability
values
Judgements
 subjective and numerical judgments
o comparisons and predictions based
on experimental and given data
o fairness of rules
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
9A The language of chance
(Q1-7)
Parachute landing
Petals
9A The language of chance
(Q1-7)
I win!
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
CD 5.1
Students model
and determine
probabilities for
single events to
justify statements
and decisions.
Likelihood
 language of chance
o theoretical probability (of a single
event)
 probability models
o lists, tables, tree diagrams
o computer simulations
o experiments
Judgements
 quantitative judgements
o probability of events with equally
likely outcomes
o fair, unfair and biased judgements
o probability to support statements
and decisions (single events)
o experimental and theoretical
probability links
o extrapolations from simplified
explorations
9B The sample space (Q1-7)
9C Simple probability (Q19)
Parachute landing
9D Using tables to show
sample spaces (Q1-10)
9E Experimenting with
chance (Q1-6)
Petals
9F Fair games (Q1-5)
9B The sample space (Q1-7)
9C Simple probability (Q19)
Parachute landing
9D Using tables to show
sample spaces (Q1-10)
9E Experimenting with
chance (Q1-6)
Petals
9F Fair games (Q1-5)
10A Probability scale (Q15)
10A Probability of single
events (Q1-18)
10B Complementary events
(Q1-12)
10B Experimental
probability (Q1-13)
Rock, paper, scissors
10C Sample spaces and
theoretical probability (Q118)
In the long run – tossing a
coin
10D Simulations (Q1, 2, 11)
Simulation
Dice game
10A Probability of single
events (Q1-18)
10B Complementary events
(Q1-12)
CD 6.1
Students model
and determine
probabilities for
multi-outcome
and compound
events and justify
decisions.
Likelihood
 language of chance
o multi-outcomes events
o compound events
o conditional probability (replacement
or non-replacement)
 theoretical probability of multi-outcome and
compound events
 probability models
o lists, tables, tree diagrams
o computer simulations
o experiments
Judgements
 quantitative judgements
o predictions and justifications
o experimental and theoretical
probability links
o extrapolations from simplified
explorations
CD DB 6.1
Students design
simulations and
use addition and
multiplication
properties to assist
in finding
probabilities.
Drink flavours
10D Simulations (Q3-10)
10E Tree diagrams and twoway tables (Q1-14)
Green is for go, red is for
stop!
10C Mutually exclusive
events (Q1-10)
10D Two-way tables and
tree diagrams
10E Independent and
dependent events (Q1-13)
Footy card collecting
Hit or sit?
10F Subjective probability
(Q1-4)
Explain these tricks
Footy card collecting
Hit or sit?
10C Mutually exclusive
events (Q1-10)
10D Two-way tables and
tree diagrams
10E Independent and
dependent events (Q1-13)
Footy card collecting
Hit or sit?
Strand: Chance and Data
Topic: Data
Core Learning
Outcome
Core content
CD 4.2
Students plan and
carry out data
collections using
their own data
record templates,
choose or
construct
appropriate
displays and make
comparisons about
the data based on
the displays and
measures of
location.
Collecting and handling data
 planning of data collection methods
o design data record templates
o data entry into spreadsheets
o extraction of data from other sources
 classifying and checking data
 discrete data
o categorical data
o count data
 continuous data
Exploring and presenting data
 displays
o pie charts
o bar graphs
o dot-plots
o line graphs
o two-way tables
o lists
Identifying and interpreting variation
 features of data
o measures of location (central
tendency)
 mean
 median
 mode
 limitations of measures of location
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
10A Collecting and
classifying data (Q1-9)
Bias
Collecting data for surveys
and questionnaires
How many red smarties are
in a pack?
10B Displaying data in
tables (Q1-11)
10C Understanding
graphical displays (Q1-8)
10D Displaying data as
graphs (Q1-22)
Walking billboard
Pictographs
Families
10E Summary statistics
(Q1-19)
Families
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
CD 5.2
Students plan
investigations
involving discrete
and continuous
data, produce and
compare data
displays involving
grouping, and
compare measures
of location.
CD 6.2
Students use and
interpret crosssectional data and
data collected over
time to identify
the nature of
variations and
relationships.
Collecting and handling data
 studies involving observations, experiments
and surveys
 templates for recording data
 spreadsheets
 consistency of units and conditions
 detecting errors
 discrete data
 continuous data
 groups (bins)
Exploring and presenting data
 displays
o two-way tables
o compound graphs
o histograms
o stem and leaf plots
Collecting data for surveys
and questionnaires
Identifying and interpreting variation
 features of data
o spread (shape)
o range
o measures of location (central
tendency) and limitations
 histograms and stem and leaf plots as
picture estimates
Collecting and handling data
 cross-sectional data
 data over time
 census data
 sample data
10E Summary statistics
(Q20-25)
Families
Exploring and presenting data
 displays
o plots over time
o scatterplots
o histograms
o stem and leaf plots
Obtaining your own data
9C Representing grouped
data into class intervals (Q15)
Conducting a statistical
inquiry
9A Histograms and
frequency polygons (Q1-10)
Histograms
9B Stem and leaf plots (Q110)
9B Presenting categorical
and discrete data (Q1-14)
9C Measures of central
tendency (Q1-18)
9D Measure of spread (Q16)
What numbers are in my
list?
9F Analysing data (Q1-4)
9D Measures of central
tendency (Q1-10)
9F Analysing data (Q5-6)
9A Collecting data (Q1-8)
Problems collating data
Non-random sampling
A pulsating problem
Footy season
Conducting a statistical
inquiry
Who owns the gold coins?
9F Bivariate data (Q1-11)
9G Lines of best fit (Q1-8)
A pulsating problem
Misuse of graphs
9E Measures of spread (Q18)
Standard deviation
Identifying and interpreting variation
 comparative features of graphs and plots
 relationships between variables
CD DB 6.2
Students interpret
box and whisker
plots and use them
to compare sets of
data.
9E Boxplots (Q1-9)
Academy award winners
9E Measures of spread (Q68)
Conducting a statistical
inquiry
Who owns the gold coins?
Strand: Space
Topic: Shape and line
Core Learning
Outcome
Core content
S 4.1
Students analyse
the geometric
properties of a
range of 2D and
3D shapes to
classify shapes into
subgroups of
families and justify
reasoning.
3D shapes and objects and 2D shapes
 circle, ellipse, semi circle, quadrant,
concentric circles
 parallelograms
 polygons – regular and irregular
(quadrilaterals, triangles, pentagons,
hexagons, octagons, dodecagons)
 Platonic solids (cube, tetrahedron,
octahedron, dodecahedron, icosahedron)
 triangular prisms and hexagonal prisms
 square-based pyramids, tetrahedrons
Geometric terms and properties
 perpendicular faces, perpendicular lines
 congruence (same shape and size)
 symmetry
 rotational symmetry
 shapes embedded within other shapes
 sum of internal angles of shapes
Visualisations and representations
 3D shapes from different viewpoints
 2D shapes in different orientations
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
11E Triangles (Q1-19)
Properties of triangles
11F Quadrilaterals (Q1-18)
Design for a front gate
Constructing quadrilaterals
11G Polygons (Q1-7)
In search of polygons
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
11E Triangles (Q1-19)
Sum of angles in a triangle
Properties of triangles
Sum of angles in a
quadrilateral
11F Quadrilaterals (Q1-18)
Design for a front gate
11G Polygons (Q1-7)
In search of polygons
12A Symmetry (Q1-10)
12B Transformations (Q115)
Braille
Transformation design
12C Tessellations (Q1-11)
Designing a paved outdoor
area
Tiling an area with
tessellating patterns
12D Views of threedimensional shapes (Q1-8)
11E Triangles (Q1-19)
Properties of triangles
11F Quadrilaterals (Q1-18)
Design for a front gate
11G Polygons (Q1-7)
In search of polygons
Maths Quest for Queensland
Book 3
Exercises and Investigations
/ Enrichment activities
Lines and angles
 degrees
 intersecting lines
 diagonal lines
 perpendicular lines
 geometric tools
o 360 degrees protractor
o pair of compasses
S 5.1
Students analyse
the relationships
between the
properties of
shapes, lines and
angles to explain
similarity and
congruence and to
create
representations of
geometric objects
that satisfy design
specifications.
3D shapes and objects and 2D shapes
 plans and elevations
 compound shapes
 embedded shapes
Geometric terms and properties
 similarity
 similar shapes – reductions and enlargements
 scale plans
 congruence
o symbol for labelling
Visualisations and representations
 conventions for representing 3D shapes
(perspective)
 sections and cross sections
11A Measuring and
constructing angles with a
protractor (Q1-7)
Estimating the size of an
angle
11B Classifying and naming
angles (Q8-11)
11E Triangles (Q1-19)
11F Quadrilaterals (Q1-18)
Design for a front gate
Constructing quadrilaterals
The Bicentennial symbol
Painting cubes
11D Sketching and
constructing twodimensional shapes (Q1-16)
Fractals
12E Polyhedra, nets and
Euler’s rule (Q1-13)
Packaging and nets
The net of a cube
11E Congruent figures (Q12)
Congruent triangles
11F Similar figures (Q1-2)
Similar triangles
Parliamentary question time
Tiling an area with
tessellating patterns
12D Views of threedimensional shapes (Q9-13)
Cross-sections of 3-D solids
7E Length, area and volume
changes with dilations (Q1-3,
5)
11B Angles in a circle (Q3)
Lines and angles
 external angles
 simple constructions using geometric tools
o perpendicular line
o angle of 60 degrees
o bisect a line
S 6.1
Students use
deductive
reasoning to
generalise about
the properties of
shapes, lines and
angles referring to
relationships
between these
properties to justify
arguments.
11D Constructing angles
with a pair of compasses
(Q1-8)
Copying triangles
3D shapes and objects and 2D shapes
 generalisations relating to 2D shapes
 relationships between 2D and 3D shapes
Geometric terms and properties
 general patterns of triangles, quadrilaterals,
parallel and intersecting lines
 scale factor
Visualisations and representations
 embedded shapes, lines and angles
11C Angle relationships
(Q1-10)
Lines and angles
 letter conventions
 angles produced when a transversal crosses
parallel lines
 generalisations relating angles
o vertically opposite
o at a point
o in a triangle
o in a quadrilateral
11C Angle relationships
(Q1-10)
11A Angle review (Q1-3)
Angles in polygons
11B Exterior angles of a
triangle (Q1-4)
Exterior angles of a triangle
Regular polygons
Angle relationships with
parallel lines
Parallels, perpendiculars
and skews
Angles in polygons
Cross-sections of 3-D solids
The net of a cube
11A Angle review (Q4-11)
11B Exterior angles of a
triangle (Q5-11)
11C Angles and parallel lines
(Q1-14)
11A Angle review (Q4-11)
11B Exterior angles of a
triangle (Q5-11)
11C Angles and parallel lines
(Q1-14)
11E Congruent figures (Q38)
11F Similar figures (Q3-15)
11A Angle review (Q4-11)
11B Exterior angles of a
triangle (Q5-11)
11C Angles and parallel lines
(Q1-14)
11E Congruent figures (Q38)
11F Similar figures (Q3-15)
Cat and mouse problem
Constructing a tangent
Angles in a circle
Quadrilaterals in circles
Chords and triangles in
circles
Chords and triangles in
circles
7E Length, area and volume
changes with dilations (Q1-3,
5)
S DB 6.1
Students use
deductive
reasoning to
establish theorems
associated with
circles and
quadrilaterals.
11A Circles, chords and
tangents (Q1-8)
Angles in a circle
11B Angles in a circle (Q18)
Quadrilaterals in circles
11C Cyclic quadrilaterals
(Q1-5)
How big is our Earth?
Strand: Space
Topic: Location, direction and movement
Core Learning
Outcome
Core content
S 4.2
Students interpret
maps and plans
with reference to
conventions,
describe the
effects of
changes in
latitude and
longitude and
describe
movements using
compass points
and distance.
Location and movement
 conventions
o simple scale on maps (linear form
or 1 cm : 1 km)
o coordinates
 grid references
 movement between
grid reference points
 latitude and longitude
o key lines of reference (prime
meridian, equator)
o polar limits
 plans
Direction and angle
 eight compass points: N, NE, E, SE, S, SW,
W, NW
 connection between the eight compass
points and the amount of turn
 angle as a difference in direction
 estimation and measurement of angles in
degrees
Maths Quest for Queensland
Book 1
Exercises and Investigations
/ Enrichment activities
12A Interpreting maps –
scale (Q3, 5, 6, 9, 11-14)
12B Location on earth (Q3,
4)
Parallels of latitude and
meridians of longitude
12C Maps, bearings and
plans (Q5a, b, 7, 9, 11, 13)
Our national capital
Suncorp stadium
12C Maps, bearings and
plans (Q5a, b, 7, 9, 11, 13)
The Bicentennial symbol
Our national capital
Maths Quest for Queensland
Book 2
Exercises and Investigations
/ Enrichment activities
Maths Quest for Queensland
Book 3
Exercises and Investigations /
Enrichment activities
S 5.2
Students interpret
maps and globes
referring to
latitude and
longitude,
interpret and
describe plans
that use scale and
describe
movements using
compass bearings
and distance.
Location and movement
 conventions
o scale on maps expressed as a
simple ratio
o coordinates
 latitude and longitude
expressed in whole
degrees
 location of points and
places using latitude and
longitude
o distance and bearing
 maps
o flat maps
o globes
 simple floor plans with scale
Direction and angle
 bearings in whole degrees (measured
clockwise from North)
 estimation of bearings in degrees
 application of scales to maps to find actual
distances
12A Interpreting maps –
scale (Q1, 2, 4, 7, 8, 10)
12B Location on earth (Q1,
2)
12C Maps, bearings and
plans (Q1-4, 5c, 6, 8, 10-22)
Our national capital
12C Maps, bearings and
plans (Q1-4, 5c, 6, 8, 10-22)
Our national capital
Steps and stairs
S 6.2
Students identify
lines of latitude
and longitude to
explain time
differences
between major
locations,
provide
directions based
on bearings and
distance and
interpret plans
and maps using
standard
conventions.
Location and movement
 conventions
o scale on maps expressed as ratio
o coordinates
 latitude and longitude
expressed in degrees and
parts of degrees
 latitude and longitude
expressed in degrees and
minutes
o scale on floor plans expressed in
millimetres
 maps
o flat maps, including world, atlas,
street directory, and orthophoto
o globes
 key referents for international time zones
o Greenwich Mean Time (GMT)/ or
Universal Time Coordinates (UTC)
o International Date Line
 link between longitude and time
 fractions of degrees expressed as minutes
(mentally and on scientific calculators)
 distance and bearing
Direction and angle
 maps (local environment) with a given scale
 navigational instructions based on distance
and bearings (using protractors)
8F Time zones and flight
schedules (Q1-23)
Up, up and away!
Designing a one-bedroom
unit
8F Trigonometry and
bearings (Q1-12)
Which way do I go?
11D Great circles (Q1-10)
SOS!
How big is our Earth?
Greenwich Mean Time
Tourist attractions
Four colour problem
8F Trigonometry and
bearings (Q1-12)
Which way do I go?
S DB 6.2
Students analyse
simple network
diagrams to
determine
optimal pathways
in a system.
12A What is a network?
(Q1-10)
12B Basic properties of
networks (Q1-13)
Traversable or not
traversable?
12C Application of networks
to problem solving (Q1-2)
How many paths in a
network?
12D Paths and circuits – part
I (Q1-8)
12E Paths and circuits – part
II (Q1-7)
Sprouts
The bridge of Konigsberg
12F Networks and maps
(Q1-5)
Tourist attractions