149 nodes · one prerequisite graph
Learning map
Grade bands are filters, not walls. Open any skill, inspect prerequisites, and practice exactly where you are.
149 skills
P1 · NUM.COUNT.20
123
0%
Count to 20
Number · 0 prerequisites
P1 · NUM.COMPARE.20
123
0%
Compare numbers to 20
Number · 1 prerequisites
P1 · NUM.ADD.WITHIN20
123
0%
Add within 20
Number · 1 prerequisites
P1 · NUM.SUB.WITHIN20
123
0%
Subtract within 20
Number · 1 prerequisites
P1 · NUM.PLACE.100
123
0%
Place value to 100
Number · 1 prerequisites
P1 · NUM.ADD.WITHIN100
123
0%
Add within 100
Number · 2 prerequisites
P1 · NUM.SUB.WITHIN100
123
0%
Subtract within 100
Number · 2 prerequisites
P1 · NUM.DOUBLE.HALF
123
0%
Double and halve
Number · 1 prerequisites
P1 · NUM.SKIP.COUNT
123
0%
Skip count
Number · 1 prerequisites
P1 · MEAS.MONEY.CHF.BASIC
↗
0%
Use francs and centimes
Applied mathematics · 1 prerequisites
P1 · MEAS.TIME.BASIC
↗
0%
Time and duration basics
Applied mathematics · 1 prerequisites
P1 · GEO.SHAPES.BASIC
△
0%
Recognise and describe basic shapes
Geometry · 0 prerequisites
P1 · DATA.TABLE.BASIC
μ
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Read simple tables and pictograms
Statistics · 1 prerequisites
P2A · NUM.PLACE.1000
123
0%
Place value to 1000
Number · 1 prerequisites
P2A · NUM.ADD.WRITTEN
123
0%
Written addition
Number · 2 prerequisites
P2A · NUM.SUB.WRITTEN
123
0%
Written subtraction
Number · 2 prerequisites
P2A · NUM.MULT.CONCEPT
123
0%
Multiplication as groups and arrays
Number · 1 prerequisites
P2A · NUM.MULT.FACTS
123
0%
Multiplication facts
Number · 1 prerequisites
P2A · NUM.DIV.CONCEPT
123
0%
Division as sharing and grouping
Number · 1 prerequisites
P2A · NUM.DIV.FACTS
123
0%
Basic division facts
Number · 2 prerequisites
P2A · NUM.ROUND.ESTIMATE
123
0%
Round and estimate
Number · 1 prerequisites
P2A · FRAC.PART.WHOLE
½
0%
Fraction as part of a whole
Fractions & decimals · 1 prerequisites
P2A · FRAC.UNIT
½
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Understand unit fractions
Fractions & decimals · 1 prerequisites
P2A · FRAC.COMPARE.SAME_DEN
½
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Compare fractions with same denominator
Fractions & decimals · 1 prerequisites
P2A · MEAS.LENGTH.MASS.CAPACITY
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0%
Measure length, mass and capacity
Applied mathematics · 1 prerequisites
P2A · GEO.PERIMETER
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0%
Calculate perimeter
Geometry · 2 prerequisites
P2A · GEO.AREA.RECT
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0%
Area of rectangle and square
Geometry · 2 prerequisites
P2A · DATA.BAR.CHART
μ
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Read and create bar charts
Statistics · 1 prerequisites
P2B · NUM.MULT.MULTIDIGIT
123
0%
Multi-digit multiplication
Number · 2 prerequisites
P2B · NUM.DIV.LONG
123
0%
Long division
Number · 2 prerequisites
P2B · NUM.ORDER.OPERATIONS
123
0%
Order of operations
Number · 2 prerequisites
P2B · NUM.NEGATIVE.INTRO
123
0%
Negative numbers basics
Number · 1 prerequisites
P2B · FRAC.EQUIVALENT
½
0%
Equivalent fractions
Fractions & decimals · 1 prerequisites
P2B · FRAC.COMPARE
½
0%
Compare and order fractions
Fractions & decimals · 1 prerequisites
P2B · FRAC.ADD.SUB
½
0%
Add and subtract fractions
Fractions & decimals · 2 prerequisites
P2B · FRAC.MULT
½
0%
Multiply fractions
Fractions & decimals · 2 prerequisites
P2B · FRAC.DIV
½
0%
Divide fractions
Fractions & decimals · 2 prerequisites
P2B · DEC.PLACE
½
0%
Decimals and place value
Fractions & decimals · 2 prerequisites
P2B · DEC.OPERATIONS
½
0%
Operate with decimals
Fractions & decimals · 2 prerequisites
P2B · PCT.CONCEPT
½
0%
Percent as hundredths
Fractions & decimals · 2 prerequisites
P2B · RATIO.CONCEPT
½
0%
Understand ratios
Fractions & decimals · 2 prerequisites
P2B · PROP.UNIT.RATE
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Unit rate and proportional relationships
Functions · 2 prerequisites
P2B · GEO.AREA.TRI
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0%
Area of triangles
Geometry · 1 prerequisites
P2B · GEO.VOLUME.RECTPRISM
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0%
Volume of rectangular prisms
Geometry · 2 prerequisites
P2B · GEO.COORD.INTRO
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0%
Coordinate plane basics
Geometry · 1 prerequisites
P2B · PROB.BASIC
P
0%
Basic probability
Probability · 1 prerequisites
P2B · STAT.MEAN.MEDIAN
μ
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Mean and median
Statistics · 2 prerequisites
S1 · NUM.INTEGER.OP
123
0%
Operate with integers
Number · 2 prerequisites
S1 · NUM.RATIONAL.OP
123
0%
Operate with rational numbers
Number · 4 prerequisites
S1 · PCT.APPLICATION
↗
0%
Percentage applications
Applied mathematics · 2 prerequisites
S1 · ALG.VAR.TERM
x
0%
Variables and expressions
Algebra · 1 prerequisites
S1 · ALG.LIKE.TERMS
x
0%
Combine like terms
Algebra · 2 prerequisites
S1 · ALG.DISTRIBUTE
x
0%
Apply distributive property
Algebra · 2 prerequisites
S1 · ALG.EQ.ONE_STEP
x
0%
Solve one-step equations
Algebra · 2 prerequisites
S1 · ALG.EQ.LINEAR.BASIC
x
0%
Solve basic linear equations
Algebra · 3 prerequisites
S1 · FUNC.REPRESENTATIONS.INTRO
ƒ
0%
Connect table, graph and formula
Functions · 2 prerequisites
S1 · FUNC.LINEAR.PROP
ƒ
0%
Proportional functions
Functions · 2 prerequisites
S1 · GEO.ANGLES
△
0%
Angle relationships
Geometry · 1 prerequisites
S1 · GEO.TRIANGLES
△
0%
Classify and construct triangles
Geometry · 1 prerequisites
S1 · GEO.PYTH.INTRO
△
0%
Pythagorean theorem basics
Geometry · 2 prerequisites
S1 · STAT.SPREAD.INTRO
μ
0%
Spread and quartiles basics
Statistics · 1 prerequisites
S2 · ALG.POWER.LAWS
x
0%
Laws of exponents
Algebra · 2 prerequisites
S2 · ALG.ROOTS
x
0%
Roots and square roots
Algebra · 1 prerequisites
S2 · ALG.FACTOR.COMMON
x
0%
Factor out common factor
Algebra · 2 prerequisites
S2 · ALG.BINOMIAL
x
0%
Binomial identities
Algebra · 2 prerequisites
S2 · ALG.EQ.VAR.BOTH_SIDES
x
0%
Linear equations with variable on both sides
Algebra · 2 prerequisites
S2 · ALG.EQ.FRACTIONAL
x
0%
Linear equations with fractional coefficients
Algebra · 2 prerequisites
S2 · ALG.SYSTEM.2X2
x
0%
Solve 2×2 linear systems
Algebra · 2 prerequisites
S2 · ALG.INEQ.LINEAR
x
0%
Linear inequalities
Algebra · 2 prerequisites
S2 · FUNC.LINEAR
ƒ
0%
Linear functions
Functions · 2 prerequisites
S2 · FUNC.LINEAR.MODEL
ƒ
0%
Linear modelling from contexts
Functions · 2 prerequisites
S2 · GEO.SIMILARITY
△
0%
Similarity and scale
Geometry · 2 prerequisites
S2 · GEO.PYTH
△
0%
Apply Pythagorean theorem
Geometry · 2 prerequisites
S2 · TRIG.RIGHT.INTRO
θ
0%
Sine, cosine and tangent in right triangles
Trigonometry · 2 prerequisites
S2 · PROB.TREE
P
0%
Probability trees and multi-stage probability
Probability · 2 prerequisites
S2 · STAT.SCATTER
μ
0%
Scatter plots and association
Statistics · 2 prerequisites
S3 · ALG.POLY.OP
x
0%
Operate with polynomials
Algebra · 2 prerequisites
S3 · ALG.FACTOR.QUADRATIC
x
0%
Factor quadratic expressions
Algebra · 2 prerequisites
S3 · ALG.EQ.QUADRATIC
x
0%
Solve quadratic equations
Algebra · 2 prerequisites
S3 · FUNC.QUADRATIC
ƒ
0%
Quadratic functions
Functions · 2 prerequisites
S3 · FUNC.TRANSFORM
ƒ
0%
Basic function transformations
Functions · 2 prerequisites
S3 · FUNC.EXP.INTRO
ƒ
0%
Exponential functions basics
Functions · 2 prerequisites
S3 · TRIG.RIGHT.SOLVE
θ
0%
Solve right triangles with trigonometry
Trigonometry · 2 prerequisites
S3 · GEO.CIRCLE
△
0%
Circle geometry
Geometry · 2 prerequisites
S3 · VEC.INTRO
→
0%
Vectors basics
Vectors · 2 prerequisites
S3 · PROB.CONDITIONAL.INTRO
P
0%
Conditional probability basics
Probability · 1 prerequisites
S3 · STAT.BIVARIATE.INTRO
μ
0%
Bivariate data and regression basics
Statistics · 2 prerequisites
SEC2_BM · ALG.REAL.NUMBERS
x
0%
Real numbers and intervals
Algebra · 2 prerequisites
SEC2_BM · ALG.POWER.RATIONAL
x
0%
Rational exponents
Algebra · 2 prerequisites
SEC2_BM · ALG.LOG
x
0%
Logarithms and logarithm laws
Algebra · 2 prerequisites
SEC2_BM · ALG.EQ.EXP.LOG
x
0%
Exponential and logarithmic equations
Algebra · 2 prerequisites
SEC2_BM · ALG.SYSTEM.ADV
x
0%
Advanced linear systems
Algebra · 1 prerequisites
SEC2_BM · FUNC.POLYNOMIAL
ƒ
0%
Polynomial functions
Functions · 2 prerequisites
SEC2_BM · FUNC.RATIONAL
ƒ
0%
Rational functions basics
Functions · 2 prerequisites
SEC2_BM · FUNC.EXP
ƒ
0%
Exponential functions and models
Functions · 2 prerequisites
SEC2_BM · FUNC.LOG
ƒ
0%
Logarithmic functions
Functions · 2 prerequisites
SEC2_BM · APPL.FINANCE.INTEREST
↗
0%
Simple and compound interest
Applied mathematics · 2 prerequisites
SEC2_BM · APPL.MODELLING
↗
0%
Evaluate and interpret mathematical models
Applied mathematics · 2 prerequisites
SEC2_BM · STAT.DESCRIPTIVE
μ
0%
Advanced descriptive statistics
Statistics · 2 prerequisites
SEC2_BM · PROB.COMBINATORICS.INTRO
P
0%
Combinatorics basics
Probability · 1 prerequisites
SEC2_GYM · FUNC.COMPOSITION.INVERSE
ƒ
0%
Composition and inverse functions
Functions · 3 prerequisites
SEC2_GYM · TRIG.UNIT_CIRCLE
θ
0%
Unit circle and general trigonometric functions
Trigonometry · 2 prerequisites
SEC2_GYM · TRIG.IDENTITIES
θ
0%
Trigonometric identities
Trigonometry · 2 prerequisites
SEC2_GYM · TRIG.EQUATIONS
θ
0%
Trigonometric equations
Trigonometry · 2 prerequisites
SEC2_GYM · VEC.OPERATIONS
→
0%
Vector operations
Vectors · 1 prerequisites
SEC2_GYM · VEC.DOT
→
0%
Dot product and angles
Vectors · 2 prerequisites
SEC2_GYM · VEC.LINES.PLANES
→
0%
Lines and planes in space
Vectors · 2 prerequisites
SEC2_GYM · CALC.LIMIT.INTRO
∫
0%
Limits basics
Calculus · 2 prerequisites
SEC2_GYM · CALC.DERIV.CONCEPT
∫
0%
Derivative as local rate of change
Calculus · 2 prerequisites
SEC2_GYM · CALC.DERIV.RULES
∫
0%
Differentiation rules
Calculus · 2 prerequisites
SEC2_GYM · CALC.DERIV.APPLICATIONS
∫
0%
Curve analysis and optimisation
Calculus · 2 prerequisites
SEC2_GYM · CALC.INTEGRAL.CONCEPT
∫
0%
Integral as accumulation and area
Calculus · 1 prerequisites
SEC2_GYM · CALC.INTEGRAL.BASIC
∫
0%
Basic definite and indefinite integrals
Calculus · 2 prerequisites
SEC2_GYM · PROB.COMBINATORICS
P
0%
Combinatorics
Probability · 2 prerequisites
SEC2_GYM · PROB.CONDITIONAL
P
0%
Conditional probability and Bayes
Probability · 2 prerequisites
SEC2_GYM · PROB.BINOMIAL
P
0%
Binomial distribution
Probability · 2 prerequisites
SEC2_GYM · STAT.NORMAL
μ
0%
Normal distribution basics
Statistics · 2 prerequisites
UNI_BRIDGE · PROOF.LOGIC.INTRO
∴
0%
Logic and quantifiers
Proof & logic · 1 prerequisites
UNI_BRIDGE · PROOF.SETS
∴
0%
Sets, functions and relations
Proof & logic · 2 prerequisites
UNI_BRIDGE · PROOF.DIRECT
∴
0%
Direct proof
Proof & logic · 1 prerequisites
UNI_BRIDGE · PROOF.CONTRA
∴
0%
Contradiction and contrapositive
Proof & logic · 1 prerequisites
UNI_BRIDGE · PROOF.INDUCTION
∴
0%
Mathematical induction
Proof & logic · 2 prerequisites
UNI_BRIDGE · SEQ.INTRO
∫
0%
Sequences and recurrences
Calculus · 2 prerequisites
UNI_BRIDGE · COMPLEX.INTRO
123
0%
Complex numbers basics
Number · 2 prerequisites
UNI_BRIDGE · MATRIX.INTRO
A
0%
Matrices basics
Linear algebra · 1 prerequisites
UNI_FOUNDATION · ANALYSIS.LIMIT.RIGOR
∫
0%
Limits and continuity, rigorous foundation
Calculus · 2 prerequisites
UNI_FOUNDATION · ANALYSIS.DERIV
∫
0%
Differential calculus
Calculus · 2 prerequisites
UNI_FOUNDATION · ANALYSIS.INTEGRAL
∫
0%
Integral calculus
Calculus · 2 prerequisites
UNI_FOUNDATION · ANALYSIS.SEQUENCES
∫
0%
Convergence of sequences
Calculus · 2 prerequisites
UNI_FOUNDATION · ANALYSIS.SERIES
∫
0%
Series and convergence
Calculus · 1 prerequisites
UNI_FOUNDATION · LA.GAUSSIAN
A
0%
Gaussian elimination
Linear algebra · 2 prerequisites
UNI_FOUNDATION · LA.VECTOR_SPACE
A
0%
Vector spaces and subspaces
Linear algebra · 2 prerequisites
UNI_FOUNDATION · LA.LINEAR_MAP
A
0%
Linear transformations
Linear algebra · 2 prerequisites
UNI_FOUNDATION · LA.BASIS.DIM
A
0%
Basis, dimension and rank
Linear algebra · 2 prerequisites
UNI_FOUNDATION · LA.DETERMINANT
A
0%
Determinants
Linear algebra · 1 prerequisites
UNI_FOUNDATION · LA.EIGEN
A
0%
Eigenvalues and eigenvectors
Linear algebra · 2 prerequisites
UNI_FOUNDATION · LA.ORTHOGONAL
A
0%
Orthogonality and projection
Linear algebra · 2 prerequisites
UNI_FOUNDATION · DISC.COUNTING
G
0%
Advanced counting principles
Discrete mathematics · 2 prerequisites
UNI_FOUNDATION · DISC.GRAPHS
G
0%
Graph theory basics
Discrete mathematics · 1 prerequisites
UNI_FOUNDATION · DISC.RECURRENCE
G
0%
Recurrences
Discrete mathematics · 2 prerequisites
UNI_FOUNDATION · PROB.AXIOMS
P
0%
Probability spaces basics
Probability · 2 prerequisites
UNI_FOUNDATION · PROB.RANDOM_VAR
P
0%
Random variables
Probability · 2 prerequisites
UNI_FOUNDATION · PROB.EXPECTATION
P
0%
Expectation and variance
Probability · 2 prerequisites
UNI_FOUNDATION · STAT.SAMPLING
μ
0%
Sampling and estimation basics
Statistics · 2 prerequisites
UNI_ADVANCED · CALC.MULTIVARIABLE.INTRO
∫
0%
Multivariable calculus basics
Calculus · 2 prerequisites
UNI_ADVANCED · ODE.INTRO
∫
0%
Ordinary differential equations basics
Calculus · 2 prerequisites
UNI_ADVANCED · NUMERICAL.INTRO
↗
0%
Numerical methods basics
Applied mathematics · 2 prerequisites
UNI_ADVANCED · ABSTRACT.ALGEBRA.INTRO
x
0%
Abstract algebra basics
Algebra · 2 prerequisites
UNI_ADVANCED · OPTIMISATION.INTRO
↗
0%
Optimisation basics
Applied mathematics · 2 prerequisites