Year 4
We've Got the Curriculum Covered
At TutorExel, our Year 4 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 & Decimals Foundation
S.No
Topic
What We Cover
1
Understanding Tenths and Hundredths
Students explore decimal place value by modelling tenths and hundredths using materials (decipipes, base-10 blocks, paper strips). They understand that decimals represent parts of a whole.
2
Reading and Writing Decimals in Context
Students practise reading, writing, and interpreting decimals in real-life situations such as money and measurement. They compare “two dollars seventy-five” and “two point seven five metres”.
3
Renaming Decimals (0.25 → 25 hundredths)
Students rename decimals using place value relationships: 1/10 = 0.1, 1/100 = 0.01, 0.25 = 25 hundredths. Use fraction–decimal links.
4
Decimal Number Lines (Tenths & Hundredths)
Students place decimals on number lines between 0 and 1, focusing on tenths and hundredths. They learn precision in identifying positions between whole numbers.
5
Odd and Even Numbers (Properties)
Identify odd/even numbers, explore patterns in their behaviour (odd+odd=even), and justify whether numbers can be shared evenly between 2.
6
Divisibility and Even Sharing
Apply algorithms/flowcharts to determine whether numbers are divisible by 2. Explore equal grouping concepts using materials.
7
Equivalent Fractions Using Models
Students build equivalent fractions using paper folding, pattern blocks, and capacity models (e.g., 1/2 = 2/4 = 4/8).
8
Fraction–Decimal Connections (¼ = 0.25)
Students relate fractions to decimals using measurement (metres, litres) and concrete models.
9
Counting by Fractions & Mixed Numerals
Students count in halves, quarters, thirds; learn improper ↔ mixed numerals; represent on number lines.
10
Multiplying & Dividing by 10 (Place Value Shift)
Students use place value charts to show how multiplying/dividing by 10 shifts digits left or right.
TERM 2 – Operations, Strategies & Modelling
S.No
Topic
What We Cover
1
Recall of 10×10 Facts & Related Division
Students consolidate fluency with multiplication facts to 10×10 and use inverse facts to solve divisions.
2
Efficient Addition & Subtraction Strategies
Students refine mental and written strategies: compensation, split strategy, bridging to tens, compatible numbers.
3
Arrays & Visual Models for Multiplication
Students use arrays, area models, and bar diagrams to represent multiplication and division situations.
4
Doubling, Halving & Associative Strategies
Students explore doubling, halving, and factor rearrangement (5×18 → 10×9).
5
Solving Unknowns in Addition & Subtraction
Students use inverse relationships to solve missing-number equations (e.g., 27 + □ = 63).
6
Unknowns in Multiplication & Division
Students use arrays & inverse operations to solve missing-number equations (e.g., □ × 4 = 28).
7
Estimation & Rounding for Reasonableness
Students round numbers and use front-end estimation to check if answers make sense, especially in money contexts.
8
Additive Problem Modelling
Students use bar models and diagrams to solve addition/subtraction real-life problems.
9
Multiplicative & Money Problem Modelling
Students solve multiplication/division real-life problems using bar models, arrays, and diagrams.
10
Algorithms for Number Patterns
Students create and follow algorithms that generate number patterns using repeated addition/multiplication.
TERM 3 – Measurement & Geometry Mastery
S.No
Topic
What We Cover
1
Pattern & Sequence Algorithms
Extend pattern recognition using rules combining addition or multiplication.
2
Reading Scales & Unmarked Units
Students practise reading unmarked increments on measuring tools (thermometers, jugs, rulers).
3
Using Scaled Instruments
Students interpret scales with part units (5.25 m, 1.75 L) and record precisely.
4
Duration Problems (AM/PM)
Students calculate elapsed time, starting/ending times, and compare durations.
5
Time Conversions
Convert between minutes ↔ hours; read timetables to solve problems.
6
Perimeter of Regular/Irregular Shapes
Students measure and calculate perimeter using standard units.
7
Area Using Unit Squares
Students determine area by counting grids and combining partial squares.
8
Comparing Area & Perimeter
Students compare shapes with equal area but different perimeters and vice versa.
9
Angle Types: Acute, Right, Obtuse
Identify angle types using comparisons to right angles; use corner templates.
10
Angles in Shapes & Turns
Identify angles in shapes; recognise quarter/half turns; understand direction (N, SW).
TERM 4 – Space, Graphs & Probability
S.No
Topic
What We Cover
1
Composite Shapes & Nets
Students break composite figures into familiar shapes and recognise simple nets.
2
3D Modelling Using Shapes
Build 3D objects using cubes; recognise real objects' shape components.
3
Grid References
Use grid references to locate objects in familiar maps.
4
Introductions to Coordinates
Students follow and give directions in a grid; move between locations.
5
Transformations (Slides, Flips, Turns)
Students perform translations, reflections, and rotations on shapes.
6
Symmetry in Patterns
Students identify lines of symmetry and create symmetrical figures.
7
Data Collection and Graphing
Collect categorical/numerical data; represent using column graphs, pictographs.
8
Comparing Data Displays
Evaluate how effective different graphs are and interpret distributions.
9
Statistical Investigations
Students plan, collect, analyse and present data from a real investigation.
10
Chance & Likelihood + Repeated Trials
Students describe likelihood (impossible → certain), compare outcomes, understand dependent/independent events, and perform repeated chance experiments.
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