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Mathematics Tower

Year 3 Mathematics

Professor Max turns every Year 3 maths idea into something to build, test and explore. Each unit is a floor of the Mathematics Tower, with its own adventure theme.

Strands
6
Units
13
Lessons planned
40
Available in prototype
4

Number

The Sky Gondolas

Multiplication and Division

Equal groups, arrays, multiplication facts and sharing — the gondolas only run when every car is loaded equally!

7 lessons planned · 4 available in the prototype

  1. Understanding Equal Groups✓ Available in prototypeFree preview

    See multiplication as equal groups and write it as a number sentence. Presented by Professor Max.

  2. Arrays: Rows and Columns✓ Available in prototype

    Arrange equal groups in rows and columns and see that 3 × 4 = 4 × 3. Presented by Professor Max.

  3. Multiplying by 5 and 10✓ Available in prototype

    Skip count and use patterns to recall the 5 and 10 times facts. Presented by Professor Max.

  4. Multiplying by 3 and 4In production

    Build the 3 and 4 times facts from doubles and patterns. Presented by Professor Max.

  5. Sharing and Grouping: Division✓ Available in prototype

    Divide by sharing equally and by making groups, and record it with ÷. Presented by Professor Max.

  6. Fact FamiliesIn production

    Connect multiplication and division: one array, four number sentences. Presented by Professor Max.

  7. Solving Multiplication ProblemsIn production

    Choose the operation and solve multi-step problems, including money. Presented by Professor Max.

The Great Number Bridge

Place Value

Thousands, hundreds, tens and ones — cross the bridge by building numbers block by block.

4 lessons planned

  1. Thousands, Hundreds, Tens and OnesIn production

    Represent four-digit numbers with blocks, expanders and words.

  2. Partitioning NumbersIn production

    Split numbers in standard and non-standard ways (e.g. 352 = 30 tens + 52).

  3. Comparing and Ordering NumbersIn production

    Use place value to compare and order numbers; place them on a number line.

  4. Big Numbers Beyond 10 000In production

    Read and write numerals beyond 10 000 using naming conventions.

The Gearworks

Addition and Subtraction

Partitioning, jump strategies and the vertical algorithm keep the academy's gears turning.

4 lessons planned

  1. Mental Strategies for AddingIn production

    Use jump, split and bridge-to-ten strategies with two-digit numbers.

  2. Adding Three-Digit NumbersIn production

    Add using place value, including regrouping.

  3. Subtracting Three-Digit NumbersIn production

    Subtract using place value, including trading.

  4. Checking with the InverseIn production

    Use addition to check subtraction and vice versa.

The Fraction Gardens

Fractions

Share the garden beds fairly: halves, thirds, quarters, fifths and tenths.

4 lessons planned

  1. Unit FractionsIn production

    Recognise one equal part of a whole: 1/2, 1/3, 1/4, 1/5, 1/10.

  2. More Than One PartIn production

    Count unit fractions: 2/4, 3/5, 7/10.

  3. Making a WholeIn production

    Combine fractions with the same denominator to complete the whole.

  4. Fractions on a Number LineIn production

    Place unit fractions and their multiples between 0 and 1.

The Market Square

Money and Problem Solving

Run a stall at the academy market: count money, give change and solve real problems.

3 lessons planned

  1. Counting MoneyIn production

    Count collections of Australian coins and notes.

  2. Giving ChangeIn production

    Calculate change using counting on and subtraction.

  3. Market Day ProblemsIn production

    Model and solve practical problems with all four operations.

Algebra

The Pattern Workshop

Patterns and Number Sentences

Spot the rule, continue the pattern and find the mystery number.

3 lessons planned

  1. Number PatternsIn production

    Describe and continue patterns that grow and shrink.

  2. Mystery NumbersIn production

    Find unknown values in number sentences like 23 + ? = 50.

  3. Addition and Subtraction FactsIn production

    Use known facts to 20 to work out harder ones.

Measurement

The Measuring Lab

Length, Mass and Capacity

Rulers, scales and jugs: measure the academy's strangest objects.

3 lessons planned

  1. Metres and CentimetresIn production

    Measure and compare lengths in m and cm.

  2. Kilograms and GramsIn production

    Measure mass using scales.

  3. Litres and MillilitresIn production

    Measure capacity and read scales on jugs.

The Clock Tower

Time

Fix the academy clock: tell the time to the minute.

2 lessons planned

  1. Time to the MinuteIn production

    Read analogue and digital clocks to the minute.

  2. Units of TimeIn production

    Seconds, minutes, hours, days, weeks, months and years.

The Turning Turret

Angles

Angles are turns: compare every angle to the corner of a page.

1 lesson planned

  1. Angles as TurnsIn production

    Identify angles and compare them with a right angle.

Space

The Shape Gallery

Shapes and Objects

Build and sort 2D shapes and 3D objects in the gallery.

2 lessons planned

  1. Features of 2D ShapesIn production

    Compare and classify shapes by sides and corners.

  2. Making 3D ObjectsIn production

    Make and describe objects by faces, edges and vertices.

The Map Room

Maps and Position

Read the academy's treasure maps and draw your own.

2 lessons planned

  1. Reading MapsIn production

    Interpret simple maps and describe paths.

  2. Grid ReferencesIn production

    Locate places with grid references and create a map.

Statistics

The Data Observatory

Data

Collect data about the academy and turn it into graphs.

3 lessons planned

  1. Collecting DataIn production

    Ask questions and record data in tally tables.

  2. Column GraphsIn production

    Display and interpret data in column graphs.

  3. Our InvestigationIn production

    Run a small investigation and report what the data shows.

Probability

The Chance Carnival

Chance

Spinners, dice and coins: how likely is it?

2 lessons planned

  1. The Language of ChanceIn production

    Describe events as certain, likely, unlikely or impossible.

  2. Chance ExperimentsIn production

    Conduct experiments and compare results with predictions.

Your Learning Adventure Starts Here.

Watch. Learn. Play. Master. A Year 3 learning adventure your child can take at their own pace.