A: Arithmetic

A.U: Understanding and writing numbers

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

A.U.A.4: Represents natural numbers in different ways or associates a number with a set of objects or drawings emphasis on apparent, accessible groupings using objects, drawings or unstructured materials (e.g. tokens, nesting cubes, groups of ten objects placed inside a bag and ten of these bags placed inside another container)

A.U.A.4.c: emphasis on place value in non-apparent, non-accessible groupings, using materials for which groupings are symbolic (e.g. abacus, money)

Number Systems

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)

Finding Patterns
Function Machines 1 (Functions and Tables)

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)
Finding Factors with Area Models
Square Roots

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)
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions with Unlike Denominators
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)
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)

Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Percents, Fractions, and Decimals
Toy Factory (Set Models of Fractions)

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

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
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

Fraction Artist 1 (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)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Rational Numbers, Opposites, and Absolute Values
Toy Factory (Set Models of Fractions)

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

Adding 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)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Rational Numbers, Opposites, and Absolute Values
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)
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)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Rational Numbers, Opposites, and Absolute Values

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)
Percents, Fractions, and Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

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

Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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)
Rational Numbers, Opposites, and Absolute Values
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)
Rational Numbers, Opposites, and Absolute Values
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)

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)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals
Treasure Hunter (Decimals on the Number Line)

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)
Rational Numbers, Opposites, and Absolute Values
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

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)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

A.U.D: Integers

A.U.D.1: Represents integers in a variety of ways (using objects or drawings) (e.g. tokens in two different colours, number line, thermometer, football field, elevator, hot air balloon)

Adding and Subtracting Integers

A.U.D.2: Reads and writes integers

Integers, Opposites, and Absolute Values

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

Adding and Subtracting Integers
Adding on the Number Line
Elevator Operator (Line Graphs)
Integers, Opposites, and Absolute Values
Points in the Coordinate Plane
Points, Lines, and Equations
Rational Numbers, Opposites, and Absolute Values

A.U.D.4: Compares integers

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

A.U.D.5: Arranges integers in increasing or decreasing order

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

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)
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)
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

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Chocomatic (Multiplication, Arrays, and Area)
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Square Roots
Using Algebraic Equations

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.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)

Solving Equations on the Number Line

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

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Chocomatic (Multiplication, Arrays, and Area)
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Square Roots
Using Algebraic Equations

A.M.C: Fractions

A.M.C.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, subtraction and multiplication by a natural number)

Solving Equations on the Number Line

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.8: Determines the missing term in an equation (relationships between operations): a × b = __, a × __ = c, __ × b = c, a ÷ b = __, a ÷ __ = c,__ ÷ b = c

Solving Two-Step Equations

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

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

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

Finding Patterns
Function Machines 1 (Functions and Tables)

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

Arithmetic Sequences
Geometric Sequences

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

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

Adding 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)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
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)
Multiplying 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)
Sums and Differences with Decimals

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

Multiplying Decimals (Area Model)
Multiplying with Decimals
Square Roots

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)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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

Percents, Fractions, and Decimals

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

Percents, Fractions, and Decimals

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

Estimating Population Size
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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.B: Solids

G.B.4: Identifies and represents the different faces of a prism or pyramid

Surface and Lateral Areas of Pyramids and Cones

G.B.6: Classifies prisms and pyramids

Pyramids and Cones

G.B.7: Constructs a net of a prism or pyramid

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

G.C: Plane figures

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

Classifying Triangles

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

Perimeter and Area of Rectangles

G.C.5: Identifies and constructs parallel lines and perpendicular lines

Constructing Parallel and Perpendicular Lines
Parallel, Intersecting, and Skew Lines

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

Classifying Triangles
Isosceles and Equilateral Triangles

G.C.9: Classifies triangles

Classifying Triangles

M: Measurement

M.A: Lengths

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

Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

M.D: Angles

M.D.2: Estimates and determines the degree measurement of angles

Triangle Angle Sum

S: Statistics

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

Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Polling: Neighborhood
Reaction Time 2 (Graphs and Statistics)

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

Describing Data Using Statistics
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

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)

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
Histograms
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

S.5: Understands and calculates the arithmetic mean

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

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])

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

P.3: When applicable, becomes aware of the independence of events in an experiment

Independent and Dependent Events
Theoretical and Experimental 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)

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental 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

Independent and Dependent Events
Spin the Big Wheel! (Probability)

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

Independent and Dependent Events
Spin the Big Wheel! (Probability)

P.6: Distinguishes between prediction and outcome

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental 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

Permutations and Combinations
Spin the Big Wheel! (Probability)

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

P.11: Uses fractions, decimals or percentages to quantify a probability

Estimating Population Size
Independent and Dependent Events
Probability Simulations

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

P.13: Simulates random experiments with or without the use of technology

Geometric Probability
Independent and Dependent Events