Mathematics, Grade 4

Counts or recites counting rhymes involving natural numbers — counts forward or backward

I can count forward and backward.

Counts collections (using objects or drawings)

I can count collections (using objects or drawings).

Counts collections (using objects or drawings) — counts a collection by grouping or regrouping

I can count a collection by grouping or regrouping.

Reads and writes any natural number

I can read and write any natural number.

Represents natural numbers in different ways or associates a number with a set of objects or drawings

I can show natural numbers in different ways and match a number to a set of objects or drawings.

Composes and decomposes a natural number in a variety of ways

I can build and break apart a natural number in a variety of ways.

Identifies equivalent expressions

I can spot equivalent expressions.

Compares natural numbers

I can compare natural numbers.

Arranges natural numbers in increasing or decreasing order

I can put natural numbers in increasing or decreasing order.

Describes number patterns, using his/her own words and appropriate mathematical vocabulary

I can describe number patterns in my own words, using math words like square, prime and multiple.

Locates natural numbers using different visual aids

I can find natural numbers using different visual aids.

Identifies properties of natural numbers — square, prime or composite numbers

I can identify square, prime and composite numbers as properties of natural numbers.

Classifies natural numbers in various ways, based on their properties

I can sort natural numbers in various ways, based on their properties.

Approximates a collection, using objects or drawings

I can estimate a collection, using objects or drawings.

Represents a fraction in a variety of ways, based on a whole or a collection of objects

I can show 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

I can match a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa.

Identifies the different meanings of fractions (sharing, division, ratio)

I can spot the different meanings of fractions (sharing, division, ratio).

Distinguishes a numerator from a denominator

I can tell a numerator apart from a denominator.

Reads and writes a fraction

I can read and write a fraction.

Compares a fraction to 0, ½ or 1

I can compare a fraction to 0, ½ or 1.

Verifies whether two fractions are equivalent

I can verify whether two fractions are equivalent.

Matches a decimal or percentage to a fraction

I can match a decimal or percentage to a fraction.

Orders fractions with the same denominator

I can order fractions with the same denominator.

Represents decimals in a variety of ways (using objects or drawings)

I can represent decimals to the hundredths in different ways, using objects or drawings.

Identifies equivalent representations (using objects or drawings)

I can spot equivalent representations (using objects or drawings).

Reads and writes numbers written in decimal notation

I can read and write numbers written in decimal notation.

Understands the role of the decimal point

I can understand the role of the decimal point.

Composes and decomposes a decimal written in decimal notation

I can build and break apart a decimal written in decimal notation.

Recognizes equivalent expressions

I can recognize equivalent expressions.

Locates decimals on a number line

I can find decimals on a number line.

Compares two decimals

I can compare two decimals.

Approximates a decimal (estimates, rounds or truncates)

I can approximate a decimal by estimating it, rounding it to a given value, or truncating its decimal places.

Arranges decimals in increasing or decreasing order

I can put decimals in increasing or decreasing order.

Matches a fraction to its decimal

I can match a fraction to its decimal.

Represents integers in a variety of ways (using objects or drawings)

I can show integers in a variety of ways (using objects or drawings).

Determines the operation(s) to perform in a given situation

I can work out the operation(s) to perform in a given situation.

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)

I can use objects, diagrams or equations to represent a situation, and describe a situation shown that way, using the different meanings of the operations.

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, repeated addition, Cartesian product, area, volume, repeated subtraction, sharing, number of times x goes into y, and comparisons (using objects, diagrams or equations)

I can use objects, diagrams or equations to represent multiplication and division situations (arrays, repeated addition, area, sharing and comparison), and describe them.

Establishes equality relations between numerical expressions

I can show equality relations between numerical expressions.

Determines numerical equivalencies using operations and the commutative property

I can find numerical equivalencies using the relationships between the four operations and the commutative and associative properties.

Represents a situation with objects, diagrams or equations (addition and subtraction of decimals)

I can use objects, diagrams or equations to represent a situation, and describe a situation shown by objects, diagrams or equations.

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)

I can use objects, diagrams or equations to represent a situation, and describe a situation shown that way, using the different meanings of the operations.

Determines numerical equivalencies using relationships between operations

I can find numerical equivalencies with decimals using the link between addition and subtraction and the commutative and associative properties of addition.

Approximates the result of any of the four operations on natural numbers

I can estimate the result of any of the four operations on natural numbers before I compute it.

Develops processes for mental computation — uses his/her own processes to determine the product or quotient of two natural numbers

I can use my own processes to find the product or quotient of two natural numbers mentally.

Develops processes for written computation (addition and subtraction) — uses conventional processes to determine the sum of two natural numbers of up to four digits

I can use conventional processes to find the sum of two natural numbers of up to four digits.

Develops processes for written computation (addition and subtraction) — uses conventional processes to determine the difference between two natural numbers of up to four digits whose result is greater than 0

I can subtract two natural numbers of up to four digits in columns and check the answer.

Builds a repertoire of memorized multiplication and division facts

I can build a repertoire of memorized multiplication and division facts.

Develops processes for written computation (multiplication and division)

I can build up processes for written computation (multiplication and division).

Determines the missing term in an equation (relationships between operations) — a × b = □, a × □ = c, □ × b = c, a ÷ b = □, a ÷ □ = c, □ ÷ b = c

I can work out the missing term in an equation (relationships between operations): a × b = □, a × □ = c, □ × b = c, a ÷ b = □, a ÷ □ = c, □ ÷ b = c.

Decomposes a number into prime factors

I can break apart a number into prime factors.

Describes patterns in a series of numbers and a family of operations

I can describe, in my own words and with math language, a series of numbers and a family of operations.

Adds new terms to a series when the first three terms or more are given

I can add new terms to a series when the first three terms or more are given.

Uses a calculator: becomes familiar with its × and ÷ functions

I can use a calculator and its × and ÷ functions.

Generates a set of equivalent fractions

I can generate a set of equivalent fractions.

Approximates the result of an operation on decimals

I can estimate the result of an addition or a subtraction of decimals before I compute it.

Develops processes for mental computation

I can add and subtract decimals in my head with my own methods.

Develops processes for written computation

I can add and subtract decimals on paper when the result has no more than two decimal places.

Locates objects in a plane

I can find objects in a plane.

Locates objects on an axis (based on the types of numbers studied)

I can find objects on an axis (based on the types of numbers studied).

Locates points in a Cartesian plane

I can find points in a Cartesian plane.

Describes prisms and pyramids in terms of faces, vertices and edges

I can describe prisms and pyramids in terms of faces, vertices and edges.

Classifies prisms and pyramids

I can sort prisms and pyramids.

Constructs a net of a prism or pyramid

I can build a net of a prism or pyramid.

Matches the net of a solid to the corresponding solid

I can match the net of a prism or a pyramid to its solid, and a solid to its net.

Describes convex and non-convex polygons

I can describe convex and non-convex polygons using their straight sides.

Identifies and constructs parallel lines and perpendicular lines

I can spot and build parallel lines and perpendicular lines.

Describes quadrilaterals

I can describe quadrilaterals.

Classifies quadrilaterals

I can sort quadrilaterals.

Observes and produces patterns using geometric figures

I can observe and make patterns using geometric figures.

Observes and produces frieze patterns and tessellations

I can observe and make frieze patterns and tessellations.

Estimates and measures the dimensions of an object using conventional units — metre, decimetre, centimetre and millimetre

I can estimate and measure the dimensions of an object using conventional units — metre, decimetre, centimetre and millimetre.

Establishes relationships between units of measure for length

I can establish relationships between the units of measure for length.

Calculates the perimeter of plane figures

I can work out the perimeter of plane figures.

Estimates and measures surface area

I can estimate and measure surface area.

Estimates and measures volume

I can estimate and measure volume.

Compares angles

I can compare angles.

Estimates and measures capacity using unconventional units

I can estimate and measure capacity using unconventional units.

Estimates and measures capacity using conventional units

I can estimate and measure capacity using conventional units.

Estimates and measures mass using unconventional units

I can estimate and measure mass using unconventional units.

Estimates and measures mass using conventional units

I can estimate and measure mass using conventional units.

Estimates and measures time using conventional units

I can estimate and measure time using conventional units.

Establishes relationships between units of measure for time

I can establish relationships between the units of measure for time.

Estimates and measures temperature using conventional units

I can estimate and measure temperature using conventional units.

Formulates questions for a survey (based on age-appropriate topics, students’ language level, etc.)

I can make up clear, fair survey questions on a topic my classmates can answer.

Collects, describes and organizes data (classifies or categorizes) using tables

I can collect, describe and organize data in a table.

Interprets data using a table, a bar graph, a pictograph and a broken-line graph

I can interpret data from 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

I can display data in a table, a bar graph, a pictograph and a broken-line graph.

When applicable, recognizes variability in possible outcomes (uncertainty)

I can recognize that the outcome of a chance experiment can vary and is not certain.

When applicable, recognizes equiprobability

I can recognize when every outcome of a chance experiment is equally likely.

When applicable, becomes aware of the independence of events in an experiment

I can recognize that one result does not change what is likely to happen next.

Experiments with activities involving chance, using various objects

I can experiment with activities involving chance, using various objects.

Predicts qualitatively an outcome or several events using a probability line, among other things

I can predict qualitatively an outcome or several events using a probability line, among other things.

Distinguishes between prediction and outcome

I can tell a prediction apart from an outcome.

Uses tables or diagrams to collect and display the outcomes of an experiment

I can use tables or diagrams to collect and display the outcomes of an experiment.

Enumerates the possible outcomes of a random experiment using a table or tree diagram

I can list the possible outcomes of a random experiment using a table or a tree diagram.

Compares qualitatively the theoretical or experimental probability of events

I can compare qualitatively the theoretical or experimental probability of events.

Simulates random experiments with or without the use of technology

I can simulate random experiments with or without the use of technology.