Year 6
We've Got the Curriculum Covered
At TutorExel, our Year 6 Mathematics program builds a strong foundation in key skills. Lessons are tailored to your child’s pace and aligned with the Australian National Curriculum.
Tutoring is delivered through 1-on-1 or group online sessions, guided by expert tutors who focus on real progress.
TERM 1 – Number & Fractions Foundations
S.No
Topic
What We Cover
1
Understanding Integers
Extend number line to negatives; compare −2 < 0 < 2; recognise positions around zero.
2
Integers in Everyday Contexts
Apply integers to profit/loss, temperatures, elevations and distances above/below sea level.
3
Coordinates and Directions
Locate integers as coordinates in four quadrants; interpret sign and direction.
4
Prime & Composite Numbers
Distinguish prime, composite and square numbers; understand why 1 is not prime.
5
Factorisation & Squares
Express numbers as products of factors and prime factors; simplify calculations; identify squares.
6
Fraction Equivalence
Use factors/multiples to find equivalent fractions; compare halves, thirds, quarters on a number line.
7
Ordering Fractions on a Number Line
Represent fractions together; justify order using benchmark fractions.
8
Adding & Subtracting Fractions (Concepts)
Understand common denominators using prime/composite knowledge; model on number lines.
9
Adding & Subtracting Fractions (Application)
Apply to recipes and measurement problems; develop methods for unrelated denominators.
10
Term 1 Review & Assessment
Integrate integers, primes and fractions; diagnostic tasks and group problems.
TERM 2 – Decimals, Percentages & Financial Modelling
S.No
Topic
What We Cover
1
Place Value in Decimals
Extend place value to thousandths; represent with money and measurements.
2
Adding & Subtracting Decimals
Use estimation, rounding and alignment of decimal places to check answers.
3
Decimals in Measurement
Apply decimal addition/subtraction to lengths and distances in real-life contexts.
4
Multiplying & Dividing by 10, 100, 1000
Use place value concepts to multiply/divide decimals by powers of 10 without a calculator.
5
Connecting Fractions, Decimals and Percentages
Convert between forms; explain equivalence (½ = 0.5 = 50%).
6
Finding Fractions & Percentages of Quantities
Calculate common fractions and % of amounts using mental and digital methods.
7
Discounts & Financial Applications
Investigate sales discounts, savings and profit/loss through modelling.
8
Estimation & Reasonableness with %
Approximate using 10%, 25%, 50% benchmarks; justify estimates.
9
Mathematical Modelling Projects
Create budgets or trip plans using spreadsheets and percentage calculations.
10
Term 2 Review & Assessment
Summative project combining fractions, decimals and financial decision-making.
TERM 3 – Algebra & Measurement
S.No
Topic
What We Cover
1
Visual and Number Patterns
Explore growing geometric and number patterns; describe rules in words and numbers.
2
Creating Rules and Sequences
Generate additive and multiplicative patterns using rational numbers and digital tools.
3
Brackets & Order of Operations
Apply BODMAS; evaluate and construct expressions with brackets.
4
Solving for Unknown Values
Use inverse operations to find missing numbers in equations.
5
Algorithms & Input–Output Machines
Design algorithms and function machines; identify emerging patterns and relationships.
6
Designing & Interpreting Number Algorithms
We will design algorithms to model number patterns and explain emerging relationships.
7
Metric Conversions
Convert between length, mass and capacity units; recognise metric prefixes.
8
Discovering Area of Rectangles
Derive A = l × w from array models and grids; record data in tables.
9
Solving Area & Perimeter Problems
Compare rectangles with same/different area and perimeter; apply formulas.
10
Angles and Relationships
Identify and measure angles; use supplementary, complementary, and vertically opposite relationships.
11
Interpreting Timetables & Itineraries
Read and construct timetables; determine durations and plan journeys.
TERM 4 – Space,Statistics & Probability
S.No
Topic
What We Cover
1
Exploring 3D Objects & Cross-Sections
Slice objects to observe cross-sections; connect to right prisms and real structures.
2
Plotting on the Cartesian Plane
Locate points in 4 quadrants; describe movement and coordinate changes.
3
Transformations & Tessellations
Combine translations, rotations and reflections to create patterns; use digital tools.
4
Introducing Data & Variables
Distinguish nominal, ordinal and numerical data; collect simple class data.
5
Comparing Data Sets
Use side-by-side column graphs and dot plots; interpret mode and range.
6
Analysing Media Statistics
Identify misleading data representations in media and discuss bias.
7
Conducting a Statistical Investigation (I)
Pose a question, collect data using surveys or spreadsheets.
8
Conducting a Statistical Investigation (II)
Analyse and interpret collected data; present graphs and findings.
9
Understanding Probability Scales
Represent probabilities on 0–1 or 0–100% scales using fractions, decimals and percentages.
10
Chance Experiments & Simulations
Conduct and simulate coin/dice experiments; compare observed vs expected results; term review.
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