A: Arithmetic

A.U: Understanding and writing numbers

A.U.A: Natural numbers less than 1 000 000

A.U.A.9: Describes number patterns, using his/her own words and appropriate mathematical vocabulary (e.g. even numbers, odd numbers, square numbers, triangular numbers, prime numbers, composite numbers)

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

A.U.A.11: Identifies properties of natural numbers

A.U.A.11.b: square, prime or composite numbers

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)

A.U.B: Fractions (using objects or drawings)...

A.U.B.2: Represents a fraction in a variety of ways, based on a whole or a collection of objects

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.3: Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.4: Identifies the different meanings of fractions (sharing, division, ratio)

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.5: Distinguishes a numerator from a denominator

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.6: Reads and writes a fraction

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.7: Compares a fraction to 0, ½ or 1

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.8: Verifies whether two fractions are equivalent

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.9: Matches a decimal or percentage to a fraction

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

A.U.B.10: Orders fractions with the same denominator

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.11: Orders fractions where one denominator is a multiple of the other(s)

Factor Trees (Factoring Numbers)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

A.U.B.12: Orders fractions with the same numerator

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.B.13: Locates fractions on a number line

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

A.U.C: Decimals up to thousandths

A.U.C.1: Represents decimals in a variety of ways (using objects or drawings)

Comparing and Ordering Decimals
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Sums and Differences with Decimals
Treasure Hunter (Decimals on the Number Line)

A.U.C.2: Identifies equivalent representations (using objects or drawings)

Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)

A.U.C.7: Locates decimals on a number line

A.U.C.7.b: between two decimals

Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)

A.U.C.8: Compares two decimals

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

A.U.C.9: Approximates (e.g. estimates, rounds to a given value, truncates decimal places)

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

A.U.C.10: Arranges decimals in increasing or decreasing order

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

A.U.C.11: Matches

A.U.C.11.a: a fraction to its decimal

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

A.U.C.11.b: a fraction or percentage to its decimal

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

A.U.D: Integers

A.U.D.3: Locates integers on a number line or Cartesian plane

Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

A.M: Meaning of operations involving numbers

A.M.A: Natural numbers less than 1 000 000

A.M.A.1: Determines the operation(s) to perform in a given situation

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

A.M.A.3: Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of multiplication and division)

A.M.A.3.b: rectangular arrays, repeated addition, Cartesian product, area, volume, repeated subtraction, sharing, number of times x goes into y, and comparisons (using objects, diagrams or equations)

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

A.M.A.5: Determines numerical equivalencies using relationships between

A.M.A.5.c: operations (the four operations), the commutative property of addition and multiplication, the associative property and the distributive property of multiplication over addition or subtraction

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

A.M.B: Decimals up to thousandths

A.M.B.1: Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of addition and subtraction)

A.M.B.1.a: transformation (adding, taking away), uniting, comparing

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Sums and Differences with Decimals

A.M.B.3: Determines numerical equivalencies

A.M.B.3.b: relationships between operations (the four operations), the commutative property of addition and multiplication, the associative property and the distributive property of multiplication over addition or subtraction

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

A.O: Operations involving numbers

A.O.A: Natural numbers

A.O.A.1: Approximates the result of

A.O.A.1.b: any of the four operations involving natural numbers

Factor Trees (Factoring Numbers)

A.O.A.3: Develops processes for mental computation

A.O.A.3.b: Uses his/her own processes to determine the product or quotient of two natural numbers

Factor Trees (Factoring Numbers)

A.O.A.6: Builds a repertoire of memorized multiplication and division facts

A.O.A.6.c: Masters all multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts

Critter Count (Modeling Multiplication)

A.O.A.9: Decomposes a number into prime factors

Factor Trees (Factoring Numbers)

A.O.A.11: Determines the divisibility of a number by 2, 3, 4, 5, 6, 8, 9, 10

Factor Trees (Factoring Numbers)

A.O.A.12: Performs a series of operations in accordance with the order of operations

Order of Operations

A.O.A.13: Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes

A.O.A.13.a: non-numerical patterns (e.g. series of colours, shapes, sounds, gestures)

Pattern Finder
Pattern Flip (Patterns)

A.O.A.13.b: numerical patterns (e.g. number rhymes, tables and charts)

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

A.O.A.13.c: series of numbers and family of operations

Pattern Flip (Patterns)

A.O.B: Fractions (using objects or diagrams)

A.O.B.1: Generates a set of equivalent fractions

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.O.B.2: Reduces a fraction to its simplest form (lowest terms)

Factor Trees (Factoring Numbers)
Fraction Artist 2 (Area Models of Fractions)

A.O.B.3: Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s)

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

A.O.B.4: Multiplies a natural number by a fraction

Multiplying Fractions

A.O.C: Decimals

A.O.C.1: Approximates the result of

A.O.C.1.a: an addition or a subtraction

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

A.O.C.1.b: a multiplication or division

Multiplying Decimals (Area Model)
Multiplying with Decimals

A.O.C.2: Develops processes for mental computation

A.O.C.2.a: adds and subtracts decimals

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

A.O.C.3: Develops processes for written computation

A.O.C.3.a: adds and subtracts decimals whose result does not go beyond the second decimal place

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

A.O.C.3.b: multiplies decimals whose product does not go beyond the second decimal place

Multiplying Decimals (Area Model)
Multiplying with Decimals

A.O.D: Using Numbers

A.O.D.1: Expresses a decimal as a fraction, and vice versa

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

A.O.D.2: Expresses a decimal as a percentage, and vice versa

Fraction, Decimal, Percent (Area and Grid Models)

A.O.D.3: Expresses a fraction as a percentage, and vice versa

Fraction, Decimal, Percent (Area and Grid Models)

A.O.D.4: Chooses an appropriate number form for a given context

Fraction, Decimal, Percent (Area and Grid Models)

G: Geometry

G.A: Space

G.A.4: Locates points in a Cartesian plane

G.A.4.b: in all four quadrants

City Tour (Coordinates)
Points in the Coordinate Plane

G.C: Plane figures

G.C.2: Identifies plane figures (square, rectangle, triangle, rhombus and circle)

Classifying Quadrilaterals

G.C.3: Describes plane figures (square, rectangle, triangle and rhombus)

Classifying Quadrilaterals

G.C.6: Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)

Classifying Quadrilaterals

G.C.7: Classifies quadrilaterals

Classifying Quadrilaterals

G.C.8: Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral triangles

Classifying Triangles

G.C.9: Classifies triangles

Classifying Triangles

M: Measurement

M.A: Lengths

M.A.4: Estimates and measures the dimensions of an object using conventional units

M.A.4.c: metre, decimetre, centimetre, millimetre and kilometre

Cannonball Clowns (Number Line Estimation)

M.A.6: Calculates the perimeter of plane figures

Fido's Flower Bed (Perimeter and Area)

M.D: Angles

M.D.1: Compares angles

Classifying Quadrilaterals

M.E: Capacities

M.E.1: Estimates and measures capacity using unconventional units

Cannonball Clowns (Number Line Estimation)

M.E.2: Estimates and measures capacity using conventional units

Cannonball Clowns (Number Line Estimation)

M.F: Masses

M.F.1: Estimates and measures mass using unconventional units

Cannonball Clowns (Number Line Estimation)

M.F.2: Estimates and measures mass using conventional units

Cannonball Clowns (Number Line Estimation)

S: Statistics

S.1: Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

S.2: Collects, describes and organizes data (classifies or categorizes) using tables

Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

S.3: Interprets data using

S.3.c: a table, a bar graph, a pictograph, a broken-line graph and a circle graph

Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

S.4: Displays data using

S.4.b: a table, a bar graph, a pictograph and a broken-line graph

Distance-Time Graphs - Metric
Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

S.5: Understands and calculates the arithmetic mean

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

P: Probability

P.1: When applicable, recognizes variability in possible outcomes (uncertainty)

Spin the Big Wheel! (Probability)

P.2: When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])

Spin the Big Wheel! (Probability)

P.5: Predicts qualitatively an outcome or several events using a probability line, among other things

P.5.a: certain, possible or impossible outcome

Spin the Big Wheel! (Probability)

P.5.b: more likely, just as likely, less likely event

Spin the Big Wheel! (Probability)

P.6: Distinguishes between prediction and outcome

Spin the Big Wheel! (Probability)

P.7: Uses tables or diagrams to collect and display the outcomes of an experiment

Spin the Big Wheel! (Probability)

P.8: Enumerates possible outcomes of

P.8.b: a random experiment, using a table, a tree diagram

Spin the Big Wheel! (Probability)

P.9: Compares qualitatively the theoretical or experimental probability of events

Spin the Big Wheel! (Probability)

P.10: Recognizes that a probability is always between 0 and 1

Spin the Big Wheel! (Probability)

P.12: Compares the outcomes of a random experiment with known theoretical probabilities

Spin the Big Wheel! (Probability)