Progression of Learning
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)
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.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.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
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
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)
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
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.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.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
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.2: Identifies plane figures (square, rectangle, triangle, rhombus and circle)
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
M.A.6: Calculates the perimeter of plane figures
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles
M.D.2: Estimates and determines the degree measurement of angles
Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Polling: Neighborhood
Reaction Time 2 (Graphs and Statistics)
Describing Data Using Statistics
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots
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.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
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
Spin the Big Wheel! (Probability)
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
Independent and Dependent Events
Theoretical and Experimental Probability
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
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)
Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
Spin the Big Wheel! (Probability)
P.8.b: a random experiment, using a table, a tree diagram
Permutations and Combinations
Spin the Big Wheel! (Probability)
Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
Estimating Population Size
Independent and Dependent Events
Probability Simulations
Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
Geometric Probability
Independent and Dependent Events
Correlation last revised: 9/16/2020