A: Arithmetic

A.U: Understanding and writing numbers

A.U.A: Natural numbers less than 100 000

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)
Fractions Greater than One (Fraction Tiles)
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

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
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)
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 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
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 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)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

A.U.C: Decimals up to hundreths

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

Adding Whole Numbers and Decimals (Base-10 Blocks)
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)
Treasure Hunter (Decimals on the Number Line)

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

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

A.U.C.3: Reads and writes numbers written in decimal notation

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

A.U.C.4: Understands the role of the decimal point

Adding Whole Numbers and Decimals (Base-10 Blocks)
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)
Treasure Hunter (Decimals on the Number Line)

A.U.C.5: Composes and decomposes a decimal written in decimal notation

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

A.U.C.6: Recognizes equivalent expressions (e.g. 12 tenths is equivalent to 1 unit and 2 tenths; 0.5 is equivalent to 0.50)

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

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

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

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

Multiplying Decimals (Area Model)

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

Adding Whole Numbers and Decimals (Base-10 Blocks)
Fraction, Decimal, Percent (Area and Grid Models)
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.M: Meaning of operations involving numbers

A.M.A: Natural numbers less than 100 000

A.M.A.2: 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.A.2.a: transformation (adding, taking away), uniting, comparing

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Equivalent Fractions (Fraction Tiles)
Modeling Fractions (Area Models)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

A.M.A.2.b: composition of transformations: positive, negative

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Equivalent Fractions (Fraction Tiles)
Modeling Fractions (Area Models)
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)
Fraction, Decimal, Percent (Area and Grid Models)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)

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

A.M.A.5.b: operations (the four operations), the commutative property of addition and multiplication and the associative property

Factor Trees (Factoring Numbers)

A.M.B: Decimals up to hundreths

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

A.M.B.1.b: composition of transformations: positive, negative

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

A.M.B.2: 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: rectangular arrays, Cartesian product, area, volume, sharing, number of times x goes into y, and comparisons)

Multiplying Decimals (Area Model)

A.O: Operations involving numbers

A.O.A: Natural numbers

A.O.A.2: Builds a repertoire of memorized addition and subtraction facts

A.O.A.2.c: Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Equivalent Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

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)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

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

Factor Trees (Factoring Numbers)

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 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.A.14: Adds new terms to a series when the first three terms or more are given

Function Machines 1 (Functions and Tables)
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 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.C: 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)

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)

G: Geometry

G.A: Space

G.A.3: Locates objects on an axis (based on the types of numbers studied)

Elevator Operator (Line Graphs)

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

G.A.4.a: in the first quadrant

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

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.D: Frieze patterns and tessellations

G.D.1: Identifies congruent figures

Rock Art (Transformations)

G.D.2: Observes and produces patterns using geometric figures

Pattern Finder

M: Measurement

M.A: Lengths

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

M.A.4.b: metre, decimetre, centimetre and millimetre

Cannonball Clowns (Number Line Estimation)

M.A.5: Establishes relationships between units of measure for length

M.A.5.a: metre, decimetre, centimetre and millimetre

Cannonball Clowns (Number Line Estimation)

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

Fido's Flower Bed (Perimeter and Area)

M.C: Volumes

M.C.1: Estimates and measures volume

M.C.1.a: using unconventional units

Cannonball Clowns (Number Line Estimation)

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.G: Time

M.G.1: Estimates and measures time using conventional units

Elapsed Time

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

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

S.3: Interprets data using

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

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)

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.4: Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)

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

Graphing Skills
Spin the Big Wheel! (Probability)

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

Spin the Big Wheel! (Probability)