Small steps. Big understanding.

Suggested ages 6–7

1. 1Counting and ComparingFirst lesson ready＋

   Learning goals

   • Match each object to one count and state the total to 10
   • Represent numbers to 20 with objects and numerals
   • Compare two collections and justify more, fewer or equal
   • Locate and order numbers to 20 on a number line

   Planned application: Apply and explain: Counting and Comparing

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Addition and Part–Whole RelationshipsPlanned＋

   Learning goals

   • Split a quantity into two parts and recombine it
   • Model joining and increasing within 10
   • Use make-ten strategies for addition within 20
   • Explain two different representations of one addition

   Planned application: Apply and explain: Addition and Part–Whole Relationships

   This is a curriculum outline, not a released video or activity.

3. 3Subtraction, Difference and EqualityPlanned＋

   Learning goals

   • Represent taking away within 20
   • Represent comparison as a difference
   • Use addition to check subtraction
   • Complete missing numbers on either side of an equals sign

   Planned application: Apply and explain: Subtraction, Difference and Equality

   This is a curriculum outline, not a released video or activity.

4. 4Tens, Ones and Number PatternsPlanned＋

   Learning goals

   • Exchange ten ones for one ten without changing quantity
   • Build and read two-digit numbers to 100
   • Compare two-digit numbers using place value
   • Add or remove one or ten using models
   • Continue and describe simple counting patterns

   Planned application: Apply and explain: Tens, Ones and Number Patterns

   This is a curriculum outline, not a released video or activity.

5. 5Shapes and Spatial ReasoningPlanned＋

   Learning goals

   • Describe 2D shapes using sides and corners
   • Recognise 3D objects by faces and curved surfaces
   • Compose and partition shapes
   • Follow and describe positional instructions

   Planned application: Apply and explain: Shapes and Spatial Reasoning

   This is a curriculum outline, not a released video or activity.

6. 6Length, Time and Equal PartsPlanned＋

   Learning goals

   • Compare lengths by aligning endpoints
   • Measure using repeated equal units without gaps
   • Read analogue hours and half-hours
   • Partition a whole into equal halves and quarters

   Planned application: Apply and explain: Length, Time and Equal Parts

   This is a curriculum outline, not a released video or activity.

7. 7Sorting and Picture DataPlanned＋

   Learning goals

   • Sort a collection using one stated rule
   • Record one object per picture
   • Read totals and differences from a picture display

   Planned application: Apply and explain: Sorting and Picture Data

   This is a curriculum outline, not a released video or activity.

8. 8Number Decisions ProjectPlanned＋

   Learning goals

   • Identify known and unknown quantities in a short story
   • Choose an addition or subtraction model without keyword guessing
   • Create and explain a toy-stand quantity record
   • Check a result against the original story

   Planned application: Apply and explain: Number Decisions Project

   This is a curriculum outline, not a released video or activity.

Suggested ages 7–8

1. 1Place Value to 1,000First lesson ready＋

   Learning goals

   • Build hundreds from tens and ones
   • Read and partition three-digit numbers
   • Compare and order numbers to 1,000
   • Count forwards and backwards in ones, tens and hundreds

   Planned application: Apply and explain: Place Value to 1,000

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Addition with RegroupingPlanned＋

   Learning goals

   • Use efficient mental addition within 100
   • Add three-digit quantities with place-value models
   • Exchange ten ones or tens when adding
   • Connect the model to a written calculation and estimate

   Planned application: Apply and explain: Addition with Regrouping

   This is a curriculum outline, not a released video or activity.

3. 3Subtraction with RegroupingPlanned＋

   Learning goals

   • Subtract mentally using difference or taking away
   • Exchange a ten or hundred to subtract
   • Explain regrouping across a zero
   • Check subtraction with addition

   Planned application: Apply and explain: Subtraction with Regrouping

   This is a curriculum outline, not a released video or activity.

4. 4Equal Groups, Arrays and SharingPlanned＋

   Learning goals

   • Make and describe equal groups
   • Connect arrays with repeated addition
   • Share and group a collection equally
   • Explain even and odd using pairs

   Planned application: Apply and explain: Equal Groups, Arrays and Sharing

   This is a curriculum outline, not a released video or activity.

5. 5Shapes and Fractional PartsPlanned＋

   Learning goals

   • Classify polygons using sides and corners
   • Compare faces and edges of common solids
   • Make equal halves, thirds and quarters
   • Explain why equal parts need the same whole for comparison

   Planned application: Apply and explain: Shapes and Fractional Parts

   This is a curriculum outline, not a released video or activity.

6. 6Standard Length and MeasurementPlanned＋

   Learning goals

   • Choose and use centimetres and metres
   • Start a ruler measurement at the correct mark
   • Estimate and compare lengths
   • Solve addition/subtraction measurement problems

   Planned application: Apply and explain: Standard Length and Measurement

   This is a curriculum outline, not a released video or activity.

7. 7Time and Labelled MoneyPlanned＋

   Learning goals

   • Read analogue time to five minutes
   • Connect analogue and digital displays
   • Combine monetary values with an explicitly stated unit
   • Calculate simple whole-unit change

   Planned application: Apply and explain: Time and Labelled Money

   This is a curriculum outline, not a released video or activity.

8. 8Graphs and Measurement RecordsPlanned＋

   Learning goals

   • Collect and classify a small data set
   • Create a labelled bar or picture graph
   • Record lengths on a simple line plot
   • Compare groups using totals and differences

   Planned application: Apply and explain: Graphs and Measurement Records

   This is a curriculum outline, not a released video or activity.

9. 9Two-Step Planning ProjectPlanned＋

   Learning goals

   • Represent linked changes with a diagram
   • Choose the order of two calculations
   • Prepare a classroom-supplies quantity plan
   • Check calculations and explain the final decision

   Planned application: Apply and explain: Two-Step Planning Project

   This is a curriculum outline, not a released video or activity.

Suggested ages 8–9

1. 1Place Value, Rounding and CalculationFirst lesson ready＋

   Learning goals

   • Compare and partition numbers to 10,000
   • Round to a nearby ten or hundred using a number line
   • Choose a sensible mental or written addition/subtraction strategy
   • Use estimates to identify implausible answers

   Planned application: Apply and explain: Place Value, Rounding and Calculation

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Multiplication Structures and FactsPlanned＋

   Learning goals

   • Translate equal groups and arrays into multiplication
   • Derive 2, 5 and 10 facts from structure
   • Derive remaining facts through 10 × 10 using partitioning
   • Explain commutativity without changing group meaning

   Planned application: Apply and explain: Multiplication Structures and Facts

   This is a curriculum outline, not a released video or activity.

3. 3Division as Sharing and GroupingPlanned＋

   Learning goals

   • Distinguish number of groups from size of each group
   • Connect division to missing-factor multiplication
   • Calculate related division facts
   • Interpret a non-exact sharing situation with objects

   Planned application: Apply and explain: Division as Sharing and Grouping

   This is a curriculum outline, not a released video or activity.

4. 4Fractions on a Number LinePlanned＋

   Learning goals

   • Build unit fractions from equal wholes
   • Locate non-unit fractions on a number line
   • Represent fractions greater than one
   • Compare fractions with equal numerator or denominator
   • Recognise simple equivalent fractions with models

   Planned application: Apply and explain: Fractions on a Number Line

   This is a curriculum outline, not a released video or activity.

5. 5Area and PerimeterPlanned＋

   Learning goals

   • Measure area by covering without gaps or overlaps
   • Connect rectangular area to arrays
   • Calculate perimeter from side lengths
   • Compare shapes with equal area but different perimeter

   Planned application: Apply and explain: Area and Perimeter

   This is a curriculum outline, not a released video or activity.

6. 6Time, Mass and CapacityPlanned＋

   Learning goals

   • Read time to the nearest minute
   • Find elapsed time using a timeline
   • Choose sensible mass and capacity units
   • Solve one-step measurement problems with clear units

   Planned application: Apply and explain: Time, Mass and Capacity

   This is a curriculum outline, not a released video or activity.

7. 7Shape FamiliesPlanned＋

   Learning goals

   • Classify quadrilaterals by properties
   • Explain overlapping shape categories
   • Partition shapes into equal-area fractions

   Planned application: Apply and explain: Shape Families

   This is a curriculum outline, not a released video or activity.

8. 8Scaled Graphs and QuestionsPlanned＋

   Learning goals

   • Read and construct picture graphs with a stated key
   • Interpret bar scales larger than one
   • Solve comparison problems from graphs
   • Identify what data does not establish

   Planned application: Apply and explain: Scaled Graphs and Questions

   This is a curriculum outline, not a released video or activity.

9. 9Operation Choices ProjectPlanned＋

   Learning goals

   • Draw a model before choosing operations
   • Solve and check a two-step situation
   • Design a tiled play-space plan
   • Explain a solution using quantities and units

   Planned application: Apply and explain: Operation Choices Project

   This is a curriculum outline, not a released video or activity.

Suggested ages 9–10

1. 1Large Numbers and EstimationFirst lesson ready＋

   Learning goals

   • Represent and compare numbers to 1,000,000
   • Explain adjacent place-value relationships
   • Round numbers to a stated place
   • Add and subtract multi-digit quantities with checks

   Planned application: Apply and explain: Large Numbers and Estimation

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Multi-Digit MultiplicationPlanned＋

   Learning goals

   • Multiply two-digit quantities by one digit using partitioning
   • Extend to up to four digits by one digit
   • Multiply two two-digit numbers with an area model
   • Connect partial products to a written algorithm
   • Estimate and check a product

   Planned application: Apply and explain: Multi-Digit Multiplication

   This is a curriculum outline, not a released video or activity.

3. 3Division and RemaindersPlanned＋

   Learning goals

   • Divide multi-digit numbers by one digit using grouping
   • Connect partial quotients to a written method
   • Verify dividend = divisor × quotient + remainder
   • Interpret a remainder according to context

   Planned application: Apply and explain: Division and Remainders

   This is a curriculum outline, not a released video or activity.

4. 4Factors, Multiples and RulesPlanned＋

   Learning goals

   • Find factor pairs systematically
   • Distinguish factors from multiples
   • Classify primes and composites and explain why one is neither
   • Generate and describe numerical patterns

   Planned application: Apply and explain: Factors, Multiples and Rules

   This is a curriculum outline, not a released video or activity.

5. 5Equivalent Fractions and OrderingPlanned＋

   Learning goals

   • Generate equivalent fractions with partitioned models
   • Simplify fractions using shared factors
   • Compare unlike fractions using equivalence or benchmarks
   • Represent mixed and improper fractions

   Planned application: Apply and explain: Equivalent Fractions and Ordering

   This is a curriculum outline, not a released video or activity.

6. 6Fraction Operations with Like DenominatorsPlanned＋

   Learning goals

   • Add and subtract fractions with the same denominator
   • Compose and decompose mixed numbers
   • Multiply a fraction by a whole number using repeated quantities
   • Check results against a visual estimate

   Planned application: Apply and explain: Fraction Operations with Like Denominators

   This is a curriculum outline, not a released video or activity.

7. 7Tenths and HundredthsPlanned＋

   Learning goals

   • Connect decimal notation to tenths and hundredths
   • Represent decimals on grids and number lines
   • Compare decimals including trailing zeros
   • Solve simple decimal-value comparisons

   Planned application: Apply and explain: Tenths and Hundredths

   This is a curriculum outline, not a released video or activity.

8. 8Angles, Lines and SymmetryPlanned＋

   Learning goals

   • Identify parallel and perpendicular lines
   • Classify angles and measure with a protractor
   • Find unknown angles by addition
   • Classify triangles and quadrilaterals
   • Identify and justify lines of symmetry

   Planned application: Apply and explain: Angles, Lines and Symmetry

   This is a curriculum outline, not a released video or activity.

9. 9Measurement and Fractional DataPlanned＋

   Learning goals

   • Convert larger metric units to smaller units
   • Solve perimeter and area problems with consistent units
   • Read fractional measurement line plots
   • Answer total and difference questions from measured data

   Planned application: Apply and explain: Measurement and Fractional Data

   This is a curriculum outline, not a released video or activity.

10. 10Planning with ConstraintsPlanned＋

    Learning goals

    • Identify constraints and relevant quantities
    • Plan a multi-step calculation
    • Prepare a shared-activity materials plan
    • Explain and verify a feasible choice

    Planned application: Apply and explain: Planning with Constraints

    This is a curriculum outline, not a released video or activity.

Suggested ages 10–11

1. 1Powers of Ten and Whole-Number FluencyFirst lesson ready＋

   Learning goals

   • Explain multiplication and division by powers of ten through place value
   • Consolidate multi-digit multiplication
   • Divide whole numbers with two-digit divisors
   • Estimate and verify quotient and remainder

   Planned application: Apply and explain: Powers of Ten and Whole-Number Fluency

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Decimal Place Value and Additive OperationsPlanned＋

   Learning goals

   • Read and compare decimals to thousandths
   • Round a decimal to a stated place
   • Add and subtract decimals with aligned units
   • Estimate and interpret decimal results

   Planned application: Apply and explain: Decimal Place Value and Additive Operations

   This is a curriculum outline, not a released video or activity.

3. 3Adding and Subtracting Unlike FractionsPlanned＋

   Learning goals

   • Find a useful common denominator
   • Add unlike fractions using visual equivalence
   • Subtract unlike fractions including mixed numbers
   • Estimate with zero, one half and one

   Planned application: Apply and explain: Adding and Subtracting Unlike Fractions

   This is a curriculum outline, not a released video or activity.

4. 4Fraction Multiplication and Limited DivisionPlanned＋

   Learning goals

   • Interpret a fraction of a quantity
   • Multiply two fractions with an area model
   • Explain scaling by a factor below or above one
   • Divide a unit fraction by a whole number
   • Divide a whole number by a unit fraction

   Planned application: Apply and explain: Fraction Multiplication and Limited Division

   This is a curriculum outline, not a released video or activity.

5. 5Decimal Multiplication and DivisionPlanned＋

   Learning goals

   • Multiply decimal quantities using area and place-value models
   • Divide decimals by whole numbers
   • Explain equivalent quotients when scaling both terms
   • Calculate practical decimal quotients and check magnitude

   Planned application: Apply and explain: Decimal Multiplication and Division

   This is a curriculum outline, not a released video or activity.

6. 6Expressions, Patterns and CoordinatesPlanned＋

   Learning goals

   • Interpret numerical expressions with grouping symbols
   • Generate paired numerical patterns
   • Plot points in the first quadrant
   • Explain a rule using a table and coordinate pairs

   Planned application: Apply and explain: Expressions, Patterns and Coordinates

   This is a curriculum outline, not a released video or activity.

7. 7Volume and Three-Dimensional StructurePlanned＋

   Learning goals

   • Build volume from layers of unit cubes
   • Derive rectangular-prism volume
   • Find volumes of decomposed rectangular solids
   • Distinguish volume from surface coverage

   Planned application: Apply and explain: Volume and Three-Dimensional Structure

   This is a curriculum outline, not a released video or activity.

8. 8Shape Hierarchies and MeasurementPlanned＋

   Learning goals

   • Classify shapes using necessary properties
   • Explain nested quadrilateral categories
   • Convert metric units within a measurement type
   • Solve mixed-unit measurement problems

   Planned application: Apply and explain: Shape Hierarchies and Measurement

   This is a curriculum outline, not a released video or activity.

9. 9Fractional Measurement DataPlanned＋

   Learning goals

   • Construct a line plot with fractional units
   • Answer arithmetic questions from the distribution
   • Explain the effect of adding or removing a measurement

   Planned application: Apply and explain: Fractional Measurement Data

   This is a curriculum outline, not a released video or activity.

10. 10Storage Design ProjectPlanned＋

    Learning goals

    • Translate a storage problem into dimensions and quantities
    • Compare feasible designs
    • Document calculations and assumptions
    • Test and revise a proposed design

    Planned application: Apply and explain: Storage Design Project

    This is a curriculum outline, not a released video or activity.

Suggested ages 11–12

1. 1Factors, Multiples and Fraction DivisionFirst lesson ready＋

   Learning goals

   • Find common factors and common multiples
   • Interpret fraction division as grouping or missing multiplication
   • Derive an equivalent whole-number-divisor calculation
   • Calculate fraction quotients and check with multiplication

   Planned application: Apply and explain: Factors, Multiples and Fraction Division

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Ratio and Unit RatePlanned＋

   Learning goals

   • Distinguish part–part and part–whole comparisons
   • Generate equivalent ratios
   • Use double number lines and ratio tables
   • Calculate and compare unit rates

   Planned application: Apply and explain: Ratio and Unit Rate

   This is a curriculum outline, not a released video or activity.

3. 3Percentages and Linked RepresentationsPlanned＋

   Learning goals

   • Interpret percent as per hundred
   • Convert familiar fractions, decimals and percentages
   • Find a percentage of a quantity
   • Find a whole from a simple percentage relationship

   Planned application: Apply and explain: Percentages and Linked Representations

   This is a curriculum outline, not a released video or activity.

4. 4Signed Numbers and CoordinatesPlanned＋

   Learning goals

   • Represent negative values in context
   • Order signed rational numbers
   • Explain absolute value as distance from zero
   • Plot and interpret all four coordinate quadrants

   Planned application: Apply and explain: Signed Numbers and Coordinates

   This is a curriculum outline, not a released video or activity.

5. 5Expressions and Operation StructurePlanned＋

   Learning goals

   • Translate a situation into an expression
   • Evaluate expressions including positive whole-number exponents
   • Apply order of operations
   • Explain equivalent expressions using distributivity

   Planned application: Apply and explain: Expressions and Operation Structure

   This is a curriculum outline, not a released video or activity.

6. 6Equations, Inequalities and RulesPlanned＋

   Learning goals

   • Explain a solution as a value making an equation true
   • Solve one-step equations by balance
   • Represent simple inequalities on a number line
   • Relate two quantities with tables and rules

   Planned application: Apply and explain: Equations, Inequalities and Rules

   This is a curriculum outline, not a released video or activity.

7. 7Area, Nets and Surface AreaPlanned＋

   Learning goals

   • Derive triangle and parallelogram areas from rectangles
   • Decompose composite polygons
   • Build and interpret nets
   • Calculate surface area by summing faces

   Planned application: Apply and explain: Area, Nets and Surface Area

   This is a curriculum outline, not a released video or activity.

8. 8Volume and Coordinate GeometryPlanned＋

   Learning goals

   • Calculate prism volume with fractional dimensions
   • Draw polygons from coordinate points
   • Find axis-aligned side lengths and areas
   • Choose consistent units in spatial problems

   Planned application: Apply and explain: Volume and Coordinate Geometry

   This is a curriculum outline, not a released video or activity.

9. 9Statistical Questions and DistributionsPlanned＋

   Learning goals

   • Distinguish statistical questions from single-value questions
   • Build and interpret dot plots and histograms
   • Compare mean, median and range
   • Find quartiles and interquartile range using an explicitly stated convention
   • Describe variability and outlier effects

   Planned application: Apply and explain: Statistical Questions and Distributions

   This is a curriculum outline, not a released video or activity.

10. 10Evidence-Based Choice ProjectPlanned＋

    Learning goals

    • Define the quantities needed for a comparison
    • Build a rate or cost model
    • State assumptions and data limitations
    • Explain a recommendation with calculations

    Planned application: Apply and explain: Evidence-Based Choice Project

    This is a curriculum outline, not a released video or activity.

Suggested ages 12–13

1. 1Signed Rational ArithmeticFirst lesson ready＋

   Learning goals

   • Add and subtract signed numbers using directed models
   • Explain multiplication and division sign patterns
   • Calculate with signed fractions and decimals
   • Estimate and check a multi-operation result

   Planned application: Apply and explain: Signed Rational Arithmetic

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Proportional RelationshipsPlanned＋

   Learning goals

   • Identify constant unit rates in tables
   • Represent proportion with y = kx
   • Interpret proportional graphs through the origin
   • Distinguish proportional from additive relationships

   Planned application: Apply and explain: Proportional Relationships

   This is a curriculum outline, not a released video or activity.

3. 3Percentage Change and Financial ContextsPlanned＋

   Learning goals

   • Find increases and decreases using multipliers
   • Calculate simple discounts and stated charges
   • Recover an original value from a changed value
   • Explain successive changes with changing reference quantities

   Planned application: Apply and explain: Percentage Change and Financial Contexts

   This is a curriculum outline, not a released video or activity.

4. 4Expressions and Linear EquationsPlanned＋

   Learning goals

   • Collect like terms and expand a single bracket
   • Factorise a common factor
   • Solve two-step linear equations
   • Solve and interpret simple inequalities including reversal under negative scaling
   • Verify a contextual solution

   Planned application: Apply and explain: Expressions and Linear Equations

   This is a curriculum outline, not a released video or activity.

5. 5Scale Drawings and ConstructionsPlanned＋

   Learning goals

   • Interpret and use a stated drawing scale
   • Convert between diagram and actual lengths
   • Construct triangles from sufficient measurements
   • Test whether given side lengths can form a triangle

   Planned application: Apply and explain: Scale Drawings and Constructions

   This is a curriculum outline, not a released video or activity.

6. 6Angles and CirclesPlanned＋

   Learning goals

   • Use vertically opposite and supplementary angles
   • Explain the triangle angle sum
   • Relate circumference to diameter
   • Calculate circle area and distinguish it from circumference

   Planned application: Apply and explain: Angles and Circles

   This is a curriculum outline, not a released video or activity.

7. 7Solids and Composite MeasurementPlanned＋

   Learning goals

   • Interpret cross-sections of solids
   • Calculate surface area of right prisms
   • Calculate volumes of composite right prisms
   • Choose and check units and included faces

   Planned application: Apply and explain: Solids and Composite Measurement

   This is a curriculum outline, not a released video or activity.

8. 8Sampling and Comparing GroupsPlanned＋

   Learning goals

   • Distinguish population and sample
   • Identify biased selection methods
   • Compare centre and spread in two groups
   • Make cautious inferences supported by the sample design

   Planned application: Apply and explain: Sampling and Comparing Groups

   This is a curriculum outline, not a released video or activity.

9. 9Probability Models and ExperimentsPlanned＋

   Learning goals

   • Represent probability from zero to one
   • List equally likely outcomes systematically
   • Compare theoretical and experimental probabilities
   • Model simple compound events with lists or trees

   Planned application: Apply and explain: Probability Models and Experiments

   This is a curriculum outline, not a released video or activity.

10. 10Fair-Game InvestigationPlanned＋

    Learning goals

    • Define fairness using an explicit winning criterion
    • Predict outcomes from a probability model
    • Collect trials and compare results with predictions
    • Explain uncertainty and revise a game

    Planned application: Apply and explain: Fair-Game Investigation

    This is a curriculum outline, not a released video or activity.

Suggested ages 13–14

1. 1Exponents, Roots and Scientific NotationFirst lesson ready＋

   Learning goals

   • Derive laws of positive integer exponents
   • Explain zero and negative exponents for non-zero bases
   • Locate square roots and distinguish rational from irrational numbers
   • Convert and calculate with scientific notation

   Planned application: Apply and explain: Exponents, Roots and Scientific Notation

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Linear Equations and Solution TypesPlanned＋

   Learning goals

   • Solve equations with brackets
   • Solve equations with variables on both sides
   • Interpret equations with one, no or infinitely many solutions
   • Check a solution in the original statement

   Planned application: Apply and explain: Linear Equations and Solution Types

   This is a curriculum outline, not a released video or activity.

3. 3Functions, Slope and InterceptPlanned＋

   Learning goals

   • Distinguish a function from a relation with multiple outputs per input
   • Connect function rules, tables and graphs
   • Calculate and interpret a constant rate of change
   • Interpret slope and intercept in y = mx + b
   • Compare linear and non-linear patterns

   Planned application: Apply and explain: Functions, Slope and Intercept

   This is a curriculum outline, not a released video or activity.

4. 4Systems of Linear EquationsPlanned＋

   Learning goals

   • Interpret simultaneous solutions as intersections
   • Solve simple systems by graphing
   • Solve systems using substitution
   • Use elimination and verify both equations
   • Interpret parallel and coincident lines

   Planned application: Apply and explain: Systems of Linear Equations

   This is a curriculum outline, not a released video or activity.

5. 5Transformations, Congruence and SimilarityPlanned＋

   Learning goals

   • Describe translations, rotations and reflections
   • Identify properties preserved by rigid transformations
   • Describe enlargements using a scale factor
   • Justify congruence or similarity
   • Use parallel-line angles to support triangle reasoning

   Planned application: Apply and explain: Transformations, Congruence and Similarity

   This is a curriculum outline, not a released video or activity.

6. 6Pythagoras and DistancePlanned＋

   Learning goals

   • Explain the area relationship in a right triangle
   • Find a missing side and distinguish the hypotenuse
   • Use the converse to test a right angle
   • Find distances between coordinate points

   Planned application: Apply and explain: Pythagoras and Distance

   This is a curriculum outline, not a released video or activity.

7. 7Volumes of Curved SolidsPlanned＋

   Learning goals

   • Connect cylinder volume to circular layers
   • Compare cone and cylinder volume for matching base and height
   • Use sphere volume in context
   • Distinguish exact and approximate answers

   Planned application: Apply and explain: Volumes of Curved Solids

   This is a curriculum outline, not a released video or activity.

8. 8Bivariate Data and AssociationPlanned＋

   Learning goals

   • Construct and interpret scatter plots
   • Describe direction, form and unusual observations
   • Fit an informal line and interpret its predictions
   • Read two-way tables using appropriate relative frequencies
   • Distinguish association from causation

   Planned application: Apply and explain: Bivariate Data and Association

   This is a curriculum outline, not a released video or activity.

9. 9Comparing Models ProjectPlanned＋

   Learning goals

   • Choose variables and a meaningful domain
   • Build and compare two linear models
   • Check predictions against constraints or data
   • Communicate limitations and a justified decision

   Planned application: Apply and explain: Comparing Models Project

   This is a curriculum outline, not a released video or activity.

Suggested ages 14–15 · A transition level; Grade 9 is high school in some systems.

1. 1Real Numbers and Measurement AccuracyFirst lesson ready＋

   Learning goals

   • Use rational and irrational values in calculations
   • Extend exponent laws to variables with stated restrictions
   • Round to decimal places or significant figures
   • Calculate and interpret absolute and percentage measurement error

   Planned application: Apply and explain: Real Numbers and Measurement Accuracy

   Only the first lesson is available now. Further lessons in this unit are in preparation.

2. 2Algebraic Structure and FormulasPlanned＋

   Learning goals

   • Multiply two simple binomials with an area model
   • Factorise common factors and simple monic quadratics
   • Rearrange linear formulas with stated restrictions
   • Verify equivalent expressions using expansion rather than a single input

   Planned application: Apply and explain: Algebraic Structure and Formulas

   This is a curriculum outline, not a released video or activity.

3. 3Functions and Coordinate ConnectionsPlanned＋

   Learning goals

   • Compare linear and simple quadratic patterns in tables and graphs
   • Interpret zeros and turning behaviour in a contextual graph
   • Find midpoint and gradient between two points
   • Explore how a parameter changes a graph
   • compare simple exponential growth with linear growth

   Planned application: Apply and explain: Functions and Coordinate Connections

   This is a curriculum outline, not a released video or activity.

4. 4Equations, Inequalities and FeasibilityPlanned＋

   Learning goals

   • Model a constraint using an equation or inequality
   • Solve linear systems and interpret feasible solutions
   • Solve simple factorisable quadratics using the zero-product principle
   • Reject solutions that violate the original context
   • explore non-factorisable quadratics graphically

   Planned application: Apply and explain: Equations, Inequalities and Feasibility

   This is a curriculum outline, not a released video or activity.

5. 5Similarity and Right-Triangle TrigonometryPlanned＋

   Learning goals

   • Use similarity to justify constant side ratios for a fixed angle
   • Identify opposite, adjacent and hypotenuse relative to an angle
   • Use sine, cosine and tangent to find a side
   • Find an angle using an inverse trigonometric function
   • Check units, calculator mode and plausibility

   Planned application: Apply and explain: Similarity and Right-Triangle Trigonometry

   This is a curriculum outline, not a released video or activity.

6. 6Scale, Surface and Spatial ModelsPlanned＋

   Learning goals

   • Relate length scale to area and volume scale
   • Solve composite surface-area and volume problems
   • Choose an appropriate geometric approximation
   • Test a spatial result against measurements and assumptions

   Planned application: Apply and explain: Scale, Surface and Spatial Models

   This is a curriculum outline, not a released video or activity.

7. 7Data Quality and Compound ProbabilityPlanned＋

   Learning goals

   • Compare distributions and discuss outliers and sampling
   • Critique a misleading display or unsupported inference
   • List compound outcomes with and without replacement
   • Calculate dependent and independent event probabilities
   • Check a probability model with simulation

   Planned application: Apply and explain: Data Quality and Compound Probability

   This is a curriculum outline, not a released video or activity.

8. 8Community-Space Modelling ProjectPlanned＋

   Learning goals

   • Define a design question and measurable constraints
   • Build a geometric and cost model
   • Test sensitivity to one changed assumption
   • Evaluate survey evidence responsibly
   • Present and defend a feasible proposal

   Planned application: Apply and explain: Community-Space Modelling Project

   This is a curriculum outline, not a released video or activity.