PPEDMASStart Free Placement

The PEDMAS Curriculum

Grades 1–12, organized as Grade → Strand → Skill. Every skill has five progression stages and clear prerequisites — students move through it at their own pace, strand by strand.

1
Grade 1
6 strands · 51 skills
Number Sense
  • Counting
  • Number Recognition
  • Number Writing
  • One-to-One Correspondence
  • Comparing Numbers
  • Ordering Numbers
  • Number Lines
  • More and Less
  • Odd and Even Numbers
  • Place Value
  • Tens and Ones
  • Composing Numbers
  • Decomposing Numbers
Addition & Subtraction
  • Addition Within 5
  • Addition Within 10
  • Addition Within 20
  • Subtraction Within 5
  • Subtraction Within 10
  • Subtraction Within 20
  • Fact Families
  • Missing Addends
  • Addition Strategies
  • Subtraction Strategies
  • Mental Addition
  • Mental Subtraction
Patterns
  • Repeating Patterns
  • Growing Patterns
  • Number Patterns
  • Missing Numbers
  • Pattern Rules
Measurement
  • Comparing Length
  • Measuring Length
  • Non-standard Units
  • Centimetres
  • Time to the Hour
  • Time to the Half Hour
  • Calendar
  • Money
Geometry
  • 2D Shapes
  • 3D Shapes
  • Shape Attributes
  • Sides
  • Vertices
  • Sorting Shapes
  • Composing Shapes
  • Decomposing Shapes
Data
  • Sorting Data
  • Categories
  • Picture Graphs
  • Bar Graphs
  • Reading Graphs
2
Grade 2
8 strands · 58 skills
Number Sense
  • Counting to 1,000
  • Place Value
  • Hundreds Tens and Ones
  • Expanded Form
  • Comparing Three-digit Numbers
  • Ordering Numbers
  • Number Lines
  • Even and Odd Numbers
  • Skip Counting
  • Mental Math
Addition & Subtraction
  • Addition Within 100
  • Addition Within 1,000
  • Regrouping
  • Subtraction Within 100
  • Subtraction Within 1,000
  • Regrouping in Subtraction
  • Missing Numbers
  • Fact Families
  • Mental Addition
  • Mental Subtraction
Multiplication & Division Foundations
  • Equal Groups
  • Repeated Addition
  • Arrays
  • Skip Counting
  • Multiplication by 2
  • Multiplication by 5
  • Multiplication by 10
  • Equal Sharing
  • Introduction to Division
Fractions
  • Equal Parts
  • Halves
  • Thirds
  • Fourths
  • Unit Fractions
  • Identifying Fractions
  • Fractions on Number Lines
  • Comparing Simple Fractions
Measurement
  • Length
  • Centimetres
  • Metres
  • Time
  • Elapsed Time
  • Money
  • Counting Coins
  • Counting Bills
Geometry
  • 2D Shapes
  • 3D Shapes
  • Sides
  • Vertices
  • Angles
  • Symmetry
  • Partitioning Shapes
Data
  • Picture Graphs
  • Bar Graphs
  • Line Plots
Patterns
  • Number Patterns
  • Shape Patterns
  • Pattern Rules
3
Grade 3
8 strands · 63 skills
Number Sense
  • Place Value
  • Rounding
  • Comparing Numbers
  • Number Lines
  • Multiples
  • Factors
  • Even and Odd Numbers
Addition & Subtraction
  • Multi-digit Addition
  • Multi-digit Subtraction
  • Regrouping
  • Estimation
  • Mental Math
  • Missing Numbers
Multiplication
  • Multiplication Concepts
  • Arrays
  • Multiplication by 2
  • Multiplication by 3
  • Multiplication by 4
  • Multiplication by 5
  • Multiplication by 6
  • Multiplication by 7
  • Multiplication by 8
  • Multiplication by 9
  • Multiplication by 10
  • Multiplication Fluency
Division
  • Division Concepts
  • Equal Groups
  • Division Facts
  • Division by 2
  • Division by 3
  • Division by 4
  • Division by 5
  • Division by 6
  • Division by 7
  • Division by 8
  • Division by 9
  • Division by 10
  • Remainders
Fractions
  • Unit Fractions
  • Equivalent Fractions
  • Comparing Fractions
  • Fractions on Number Lines
  • Numerators
  • Denominators
  • Fraction of a Set
  • Simple Fraction Addition
  • Simple Fraction Subtraction
Measurement & Geometry
  • Length
  • Mass
  • Capacity
  • Time
Measurement & Geometry
  • Area
  • Perimeter
  • Angles
  • Right Angles
  • Quadrilaterals
  • Triangles
  • Symmetry
Data
  • Bar Graphs
  • Line Plots
  • Scaled Graphs
  • Reading Data
  • Comparing Data
4
Grade 4
7 strands · 47 skills
Number Sense
  • Large Numbers
  • Place Value
  • Expanded Form
  • Rounding
  • Comparing Numbers
  • Factors
  • Multiples
  • Prime Numbers
  • Composite Numbers
Operations
  • Multi-digit Addition
  • Multi-digit Subtraction
  • Multi-digit Multiplication
  • Long Division
  • Estimation
  • Mental Math
  • Order of Operations Introduction
Fractions
  • Fraction Equivalence
  • Simplifying Fractions
  • Comparing Fractions
  • Ordering Fractions
  • Fractions on Number Lines
  • Addition with Same Denominators
  • Subtraction with Same Denominators
  • Mixed Numbers Introduction
Decimals
  • Decimal Place Value
  • Tenths
  • Hundredths
  • Comparing Decimals
  • Ordering Decimals
  • Decimal Addition
  • Decimal Subtraction
Geometry
  • Angles
  • Angle Measurement
  • Triangles
  • Quadrilaterals
  • Symmetry
  • Lines
  • Parallel Lines
  • Perpendicular Lines
Measurement
  • Area
  • Perimeter
  • Volume
  • Unit Conversion
Data
  • Line Plots
  • Bar Graphs
  • Data Tables
  • Interpreting Data
5
Grade 5
9 strands · 55 skills
Number Sense
  • Place Value
  • Rounding
  • Factors
  • Multiples
  • Prime Factorization
  • Greatest Common Factor
  • Least Common Multiple
Operations
  • Multi-digit Addition
  • Multi-digit Subtraction
  • Multi-digit Multiplication
  • Long Division
  • Order of Operations
  • Estimation
  • Mental Math
Fractions
  • Equivalent Fractions
  • Simplifying Fractions
  • Comparing Fractions
  • Ordering Fractions
  • Common Denominators
  • Addition of Fractions
  • Subtraction of Fractions
  • Addition of Mixed Numbers
  • Subtraction of Mixed Numbers
  • Multiplication of Fractions
  • Multiplication of Mixed Numbers
  • Division of Fractions
  • Fraction of a Number
Decimals
  • Decimal Place Value
  • Decimal Addition
  • Decimal Subtraction
  • Decimal Multiplication
  • Decimal Division
  • Comparing Decimals
  • Rounding Decimals
Percent
  • Meaning of Percent
  • Percent as a Fraction
  • Percent as a Decimal
  • Finding a Percentage
  • Finding a Percent of a Number
Ratios
  • Understanding Ratios
  • Equivalent Ratios
  • Ratio Tables
  • Unit Rates
Geometry & Measurement
  • Classifying Triangles
  • Classifying Quadrilaterals
  • Coordinate Plane
  • Symmetry
  • Area
  • Volume
Geometry & Measurement
  • Unit Conversion
Data
  • Mean
  • Median
  • Mode
  • Line Plots
  • Data Interpretation
6
Grade 6
8 strands · 50 skills
Number Sense
  • Whole Numbers
  • Integers
  • Absolute Value
  • Rational Numbers
  • Number Lines
  • Factors
  • Prime Factorization
Operations
  • Integer Addition
  • Integer Subtraction
  • Integer Multiplication
  • Integer Division
  • Rational Number Operations
  • Order of Operations
Fractions
  • Fraction Addition
  • Fraction Subtraction
  • Fraction Multiplication
  • Fraction Division
  • Mixed Number Operations
  • Complex Fractions
Decimals & Percent
  • Decimal Operations
  • Decimal Conversion
  • Percent of a Number
  • Finding the Whole
  • Percent Increase
  • Percent Decrease
Ratios & Proportions
  • Ratios
  • Equivalent Ratios
  • Unit Rates
  • Rates
  • Proportional Relationships
  • Solving Proportions
Algebra Foundations
  • Variables
  • Expressions
  • Evaluating Expressions
  • Properties of Operations
  • One-step Equations
  • One-step Inequalities
Geometry
  • Area
  • Triangles
  • Quadrilaterals
  • Circles
  • Surface Area
  • Volume
  • Coordinate Plane
Statistics & Probability
  • Mean
  • Median
  • Mode
  • Range
  • Data Displays
  • Simple Probability
7
Grade 7
6 strands · 42 skills
Number & Rational Numbers
  • Integers
  • Rational Numbers
  • Absolute Value
  • Rational Number Comparison
  • Rational Number Operations
Ratios & Proportions
  • Ratios
  • Rates
  • Unit Rates
  • Proportional Relationships
  • Solving Proportions
  • Scale Drawings
  • Similar Figures
Percent
  • Percent of a Number
  • Percent Increase
  • Percent Decrease
  • Discounts
  • Markups
  • Tax
  • Simple Interest
Algebra
  • Variables
  • Expressions
  • Combining Like Terms
  • Distributive Property
  • One-step Equations
  • Two-step Equations
  • Inequalities
  • Algebraic Expressions
Geometry
  • Angle Relationships
  • Triangles
  • Quadrilaterals
  • Circles
  • Area
  • Surface Area
  • Volume
  • Scale Drawings
Statistics & Probability
  • Mean
  • Median
  • Range
  • Data Distributions
  • Sampling
  • Simple Probability
  • Compound Probability
8
Grade 8
6 strands · 37 skills
Number Systems
  • Rational Numbers
  • Irrational Numbers
  • Real Numbers
  • Square Roots
  • Cube Roots
Exponents
  • Integer Exponents
  • Exponent Rules
  • Scientific Notation
  • Powers of Ten
Algebra
  • Expressions
  • Combining Like Terms
  • Distributive Property
  • Linear Equations
  • Variables on Both Sides
  • Linear Inequalities
  • Systems Introduction
Linear Relationships
  • Coordinate Plane
  • Ordered Pairs
  • Tables
  • Graphs
  • Slope
  • Rate of Change
  • Slope-intercept Form
  • Graphing Linear Equations
Geometry
  • Transformations
  • Translations
  • Reflections
  • Rotations
  • Congruence
  • Similarity
  • Pythagorean Theorem
  • Volume
  • Surface Area
Statistics
  • Scatter Plots
  • Correlation
  • Line of Best Fit
  • Data Interpretation
9
Grade 9
7 strands · 40 skills
Number Systems
  • Real Numbers
  • Rational Numbers
  • Irrational Numbers
  • Radicals
  • Exponents
Algebra
  • Algebraic Expressions
  • Combining Like Terms
  • Distributive Property
  • Polynomial Addition
  • Polynomial Subtraction
  • Polynomial Multiplication
  • Exponent Laws
  • Factoring Introduction
Linear Equations
  • One-step Equations
  • Multi-step Equations
  • Equations with Fractions
  • Equations with Decimals
  • Inequalities
Linear Relations
  • Slope
  • Rate of Change
  • Slope-intercept Form
  • Point-slope Form
  • Graphing Lines
  • Parallel Lines
  • Perpendicular Lines
Systems
  • Graphical Solutions
  • Substitution
  • Elimination
  • Applications
Geometry
  • Pythagorean Theorem
  • Similar Triangles
  • Coordinate Geometry
  • Distance
  • Midpoint
  • Transformations
Probability & Statistics
  • Simple Probability
  • Compound Probability
  • Data Distributions
  • Correlation
  • Statistical Reasoning
10
Grade 10
7 strands · 45 skills
Algebra
  • Polynomial Operations
  • Exponent Laws
  • Rational Expressions
  • Radical Expressions
  • Simplifying Radicals
Factoring
  • Common Factors
  • Difference of Squares
  • Trinomials
  • Perfect Square Trinomials
  • Factoring by Grouping
Quadratics
  • Quadratic Expressions
  • Quadratic Equations
  • Factoring Quadratics
  • Completing the Square
  • Quadratic Formula
  • Vertex Form
  • Standard Form
  • Factored Form
  • Quadratic Graphs
  • Vertex
  • Axis of Symmetry
  • Roots / Zeros
Systems
  • Linear Systems
  • Substitution
  • Elimination
  • Graphical Solutions
  • Linear-Quadratic Systems
Functions
  • Relations
  • Function Notation
  • Domain
  • Range
  • Evaluating Functions
  • Transformations
Trigonometry
  • Right Triangles
  • Sine
  • Cosine
  • Tangent
  • Inverse Trigonometry
  • Solving Right Triangles
  • Angles of Elevation
  • Angles of Depression
Financial Mathematics
  • Simple Interest
  • Compound Interest
  • Percent Change
  • Growth and Decay
11
Grade 11
10 strands · 61 skills
Functions
  • Function Notation
  • Domain
  • Range
  • Function Composition
  • Inverse Functions
  • Transformations
  • Piecewise Functions
Quadratic Functions
  • Vertex Form
  • Standard Form
  • Factored Form
  • Transformations
  • Maximum and Minimum
  • Quadratic Inequalities
Polynomial Functions
  • Polynomial Operations
  • Polynomial Factoring
  • Polynomial Zeros
  • Polynomial Graphs
  • End Behaviour
  • Multiplicity
Rational Functions
  • Rational Expressions
  • Simplification
  • Restrictions
  • Rational Equations
  • Graphs
  • Asymptotes
Radical Functions
  • Square Root Functions
  • Radical Equations
  • Radical Expressions
  • Radical Graphs
Exponential Functions
  • Exponential Growth
  • Exponential Decay
  • Exponential Equations
  • Exponential Graphs
  • Transformations
Logarithms
  • Meaning of Logarithms
  • Common Logarithms
  • Natural Logarithms
  • Logarithm Laws
  • Exponential Equations
  • Logarithmic Equations
  • Logarithmic Graphs
Sequences & Series
  • Arithmetic Sequences
  • Geometric Sequences
  • Recursive Sequences
  • Explicit Form
  • Arithmetic Series
  • Geometric Series
Trigonometry
  • Unit Circle
  • Exact Trigonometric Values
  • Trigonometric Functions
  • Trigonometric Graphs
  • Trigonometric Identities
  • Trigonometric Equations
  • Angle Sum Identities
  • Double Angle Identities
Counting & Probability
  • Fundamental Counting Principle
  • Permutations
  • Combinations
  • Conditional Probability
  • Independent Events
  • Binomial Probability
12
Grade 12
10 strands · 85 skills
Advanced Functions
  • Function Composition
  • Inverse Functions
  • Function Transformations
  • Domain and Range
  • Function Behaviour
Polynomial Functions
  • Polynomial Operations
  • Polynomial Division
  • Synthetic Division
  • Factor Theorem
  • Remainder Theorem
  • Polynomial Zeros
  • Multiplicity
  • Polynomial Graphs
  • End Behaviour
Rational Functions
  • Rational Expressions
  • Rational Equations
  • Restrictions
  • Vertical Asymptotes
  • Horizontal Asymptotes
  • Holes
  • Rational Graphs
Radical Functions
  • Radical Expressions
  • Radical Equations
  • Radical Functions
  • Radical Graphs
Exponential Functions
  • Exponential Growth
  • Exponential Decay
  • Transformations
  • Exponential Equations
  • Applications
Logarithmic Functions
  • Logarithm Laws
  • Natural Logarithms
  • Common Logarithms
  • Logarithmic Equations
  • Logarithmic Inequalities
  • Logarithmic Graphs
  • Logarithmic Applications
Trigonometry
  • Unit Circle
  • Exact Values
  • Trigonometric Functions
  • Trigonometric Graphs
  • Transformations
  • Trigonometric Identities
  • Trigonometric Equations
  • Compound Angle Identities
  • Double Angle Identities
  • Inverse Trigonometric Functions
Sequences & Series
  • Arithmetic Sequences
  • Geometric Sequences
  • Recursive Sequences
  • Arithmetic Series
  • Geometric Series
  • Infinite Geometric Series
  • Binomial Expansion
  • Binomial Theorem
Vectors
  • Vector Representation
  • Vector Addition
  • Vector Subtraction
  • Scalar Multiplication
  • Vector Magnitude
  • Unit Vectors
  • Vector Components
  • Dot Product
  • Angle Between Vectors
  • Applications
Calculus
  • Limits
  • Evaluating Limits
  • Continuity
  • Derivative Concept
  • Derivative from First Principles
  • Power Rule
  • Product Rule
  • Quotient Rule
  • Chain Rule
  • Derivatives of Exponential Functions
  • Derivatives of Logarithmic Functions
  • Derivatives of Trigonometric Functions
  • Increasing and Decreasing Functions
  • Critical Points
  • Maximum and Minimum
  • Optimization
  • Antiderivatives
  • Definite Integrals
  • Area Under Curves
  • Fundamental Theorem of Calculus

Not sure where to start?

You don’t have to be. The adaptive placement finds the right level in each strand for you.