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

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

Geometric Probability

Independent and Dependent Events

Correlation last revised: 1/23/2020

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.