Estimates and measures the dimensions of an object using conventional units metre, decimetre, centimetre and millimetre
Establishes relationships between units of measure for length using metre, decimetre, centimetre and millimetre
Calculates the perimeter of plane figures
Estimates and measures surface area using unconventional units
Estimates and measures volume using unconventional units
Compares angles
Estimates and measures capacity using unconventional units
Estimates and measures capacity using conventional units
Estimates and measures mass using unconventional units
Estimates and measures mass using conventional units
Estimates and measures time using conventional units
Establishes relationships between units of measure
Estimates and measures temperature using conventional units
Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)
Collects, describes and organizes data (classifies or categorizes) using tables
Interprets data using a table, a bar graph, a pictograph and a broken-line graph
Displays data using a table, a bar graph, a pictograph and a broken-line graph
Locates objects in a plane
Locates objects on an axis (based on the types of numbers studied)
Locates points in a Cartesian plane in the first quadrant
Compares objects or parts of objects in the environment with solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
Compares and constructs solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
Identifies the main solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
Identifies and represents the different faces of a prism or pyramid
Describes prisms and pyramids in terms of faces, vertices and edges
Classifies prisms and pyramids
Constructs a net of a prism or pyramid
Matches the net of a prism to the corresponding prism and vice versa
Matches the net of a pyramid to the corresponding pyramid and vice versa
Identifies plane figures (square, rectangle, triangle, rhombus and circle)
Describes plane figures (square, rectangle, triangle and rhombus)
Identifies and constructs parallel lines and perpendicular lines
Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)
Identifies congruent figures
Observes and produces patterns using geometric figures
Observes and produces frieze patterns and tessellations using reflections
When applicable, recognizes variability in possible outcomes (uncertainty)
Simulates random experiments with or without the use of technology
Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)
When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])
When applicable, becomes aware of the independence of events in an experiment
Predicts qualitatively an outcome or several events using a probability line, among other things
Predicts certain, possible or impossible outcome
Predicts more likely, just as likely, less likely event
Distinguishes between prediction and outcome
Uses tables or diagrams to collect and display the outcomes of an experiment
Enumerates possible outcomes of a random experiment, using a table, a tree diagram
Compares qualitatively the theoretical or experimental probability of events
Determines the operation(s) to perform in a given situation
Uses objects, diagrams or equations to represent and describe transformations of numbers up to 100000: adding, taking away, uniting, comparing
Uses objects, diagrams or equations to represent and describe the composition of transformations (positive or negative) of numbers up to 100000
Uses objects, diagrams or equations to represent and describe rectangular arrays, repeated addition, Cartesian product, area, volume, repeated subtraction, sharing, number of times x goes into y, and comparisons.
Multiplication Sentences
Relate Addition and Multiplication
Multiplication with Pictures
Multiplication Input/Output Tables
Multiplication
Division: Complete the Table
Division with Divisors Up to 10
Compare Area and Perimeter of Two Figures
Area with Unit Squares and Units
Area with Unit Squares
Area of Rectangles
Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)
Determines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication and the associative property.
Simplify Expressions
Properties of Addition
Solve Using Properties of Addition
Factors of Multiplication
Choose Properties of Multiplication
Properties of Multiplication with Factors Up to 12
Solve Using Properties of Multiplication with Factors Up to 12
Relate Multiplication and Division with Factors Up to 12
Uses objects, diagrams or equations to represent and describe transformations with decimals to the hundredth place value: adding, taking away, uniting, comparing
Uses objects, diagrams or equations to represent and describe the composition of transformations (positive or negative) with decimals to the hundreth place value.
Uses objects, diagrams or equations to represent and describe rectangular arrays, repeated addition, Cartesian product, area, volume, repeated subtraction, sharing, number of times x goes into y, and comparisons, with decimals to the hundreth place value.
Determines numerical equivalencies using the relationship between operations (the four operations), the commutative property of addition and multiplication and the associative property with decimals up to the hundreth place value.
Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line)
Identifies properties of natural numbers up to 100000 as odd or even numbers
Identifies properties of natural numbers up to 100000 as square, prime, or composite numbers
Classifies natural numbers in various ways, based on their properties (e.g. even numbers, composite numbers)
Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)
Counts or recites counting rhymes involving natural numbers up to 100000
counts forward or backward up to 100000
skip counts (e.g. by twos) up to 100000
Counts collections (using objects or drawings)
counts a collection by grouping or regrouping up to 100000
Reads and writes any natural number up to 100000
Represents natural numbers in different ways or associates a number with a set of objects or drawings with emphasis on exchanging apparent, non-accessible groupings, using structured materials (e.g. base ten blocks, number tables) up to 100000
emphasis on place value in non-apparent, non-accessible groupings, using materials for which groupings are symbolic (e.g. abacus, money)
Composes and decomposes a natural number in a variety of ways (e.g. 123 = 100 + 23, 123 = 100 + 20 + 3, 123 = 50 + 50 + 20 + 3)
Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12, 52 = 104 ÷ 2)
Compares natural numbers up to 100000
Arranges natural numbers up to 100000 in increasing or decreasing
Describes number patterns up to 100000, using his/her own words and appropriate mathematical vocabulary (e.g. even numbers, odd numbers, square numbers, triangular numbers, prime numbers, composite numbers)
Represents a fraction in a variety of ways, based on a whole or a collection of objects
Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa
counts a pre-grouped collection up to 100000
Identifies the different meanings of fractions (sharing, division, ratio)
Distinguishes a numerator from a denominator
Reads and writes a fraction
Compares a fraction to 0, 1/2 or 1
Verifies whether two fractions are equivalent
Represents decimals in a variety of ways (using objects or drawings) and identifies equivalent representations to hundredths.
Arranges decimals in increasing or decreasing order to the hundredths place.
Matches a fraction to its decimal
Identifies equivalent representations (using objects or drawings)
Reads and writes numbers written in decimal notation to hundredths.
Understands the role of the decimal point
Composes and decomposes a decimal written in decimal notation to hundredths
Recognizes equivalent expressions (e.g. 12 tenths is equivalent to 1 unit and 2 tenths; 0.5 is equivalent to 0.50) Identifies properties of natural numbers to the hundreths place value.
Locates decimals on a number line between two consecutive natural numbers to the hundredths place
Compares two decimals to the hundredths place.
Approximates (e.g. estimates, rounds to a given value, truncates decimal places)
Adds new terms to a series when the first three terms or more are given
Uses a calculator and becomes familiar with its basic functions (+, -, =, 0 to 9 number keys, all clear, clear)
Uses a calculator and becomes familiar with its × and ÷ functions
Approximates the result of an addition or subtraction involving natural numbers up to 100000
Approximates the result of any of the four operations involving natural numbers 100000
Builds a repertoire of memorized addition and subtraction facts
Develops various strategies that promote mastery of number facts and relates them to the properties of addition
Add Two Numbers Up to 1000
Add Three Digit Numbers Ending in Zero Up to 1000
Addition Patterns Over Increasing Place Values
Increasing Addition Patterns
Add Two Numbers Up to 5000000
Adding Three or More Numbers
Adding Three or More Numbers with One or Two Digits
Complete the Equation with Numbers Up to 1000
Subtract Two Numbers Up to 1000
Increasing Subtraction Patterns
Subtraction with Numbers Up to 5000000
Fill in the Missing Digits
Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts
Related Addition Equations Up to 10
Choose Addition Pictures Up to 10
How to Make a Number with Single Digits Up to 10
How to Make a Number - Values Up to 100
How to Make a Number - Sums and Numbers Up to 10
Addition with Single Digit Numbers with Sums Up to 20
Addition Input/Output Tables with Sums Up to 20
Choose Subtraction Pictures with Numbers Up to 10
Related Subtraction Equations Up to 10
Subtraction with Pictures Up to 10
Subtract Two Numbers Up to 18
Develops processes for mental computation: Uses their own processes to determine the sum or difference of two natural numbers
Develops processes for mental computation: Uses their own processes to determine the product or quotient of two natural numbers
Uses conventional processes to determine the sum of two natural numbers up four digits
Uses conventional processes to determine the difference between two natural numbers of up to four digits whose result is greater than 0
Determines the missing term in an equation (relationships between operations): a + b =__, a + __ = c, __ + b = c, a - b = __, a - __= c, __ - b = c
Builds a memory of multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts, using objects, drawings, charts or tables
Develops various strategies that promote mastery of number facts and relate them to the properties of multiplication
Masters all multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts
Uses his/her own processes as well as materials and drawings to determine the product or quotient of a three-digit natural number and a one-digit natural number, expresses the remainder of a division as a fraction, depending on the context
Determines the missing term in an equation (relationships between operations): a+b = _, a+_=c, a-b=_ a-_=c _-b = c
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes non-numerical patterns (e.g. series of colours, shapes, sounds, gestures)
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes numerical patterns (e.g. number rhymes, tables and charts)
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes series of numbers and family of operations
Generates a set of equivalent fractions
Approximates the result of an addition or a subtraction with decimals
Develops processes for mental computation: adds and subtracts decimals
Develops processes for written computation: adds and subtracts decimals whose result does not go beyond the second decimal place