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Innovative lessons for key K-8 math concepts and skills

The essential knowledge in mathematics put forth by the Quebec Education Program “hinges on the development of competencies by students, with the goal of using knowledge effectively in carrying out tasks and real-life activities.” To provide students with the foundation for deep, fundamental mathematical understanding, DreamBox is aligned to support student proficiency in the following concepts: Algebra, Arithmetic, Geometry, Measurement, and Statistics.

Lessons by Standards

RegionStandardDescriptionLevel
QuebecE1.A.MON.A.1Determines the operation(s) to perform in a given situationGrade 1
QuebecE1.A.MON.A.2Uses 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): transformation (adding, taking away), uniting, comparingGrade 1
QuebecE1.A.MON.A.3aUses 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, sharing, and number of times x goes into y (using objects and diagrams)Grade 1
QuebecE1.A.MON.A.5aDetermines numerical equivalencies using relationships between operations (addition and subtraction) and the commutative property of additionGrade 1
QuebecE1.A.MON.A.4Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)Grade 1
QuebecE1.A.ON.A.2aBuilds a repertoire of memorized addition and subtraction facts: Builds a memory of addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts, using objects, drawings, charts or tablesGrade 1
QuebecE1.A.ON.A.2bBuilds a repertoire of memorized addition and subtraction facts: Develops various strategies that promote mastery of number facts and relates them to the properties of additionGrade 1
QuebecE1.A.ON.A.2cBuilds a repertoire of memorized addition and subtraction facts: Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction factsGrade 1
QuebecE1.A.ON.A.3aDevelops processes for mental computation: Uses his/her own processes to determine the sum or difference of two natural numbersGrade 1
QuebecE1.A.ON.A.4aDevelops processes for written computation (addition and subtraction): Uses his/her own processes as well as objects and drawings to determine the sum or difference of two natural numbers less than 1000Grade 1
QuebecE1.A.ON.A.5Determines the missing term in an equation (relationships between operations): a + b = ?, a + ? = c, ? + b = c, a - b = ?, a - ? = c, ? - b = cGrade 1
QuebecE1.A.ON.A.13Using 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)Grade 1
QuebecE1.A.UWN.A.1aCounts or recites counting rhymes involving natural numbers: counts forward from a given numberGrade 1
QuebecE1.A.UWN.A.1bCounts or recites counting rhymes involving natural numbers: counts forward or backwardGrade 1
QuebecE1.A.UWN.A.1cCounts or recites counting rhymes involving natural numbers: skip counts (e.g. by twos)Grade 1
QuebecE1.A.UWN.A.2aCounts collections (using objects or drawings): matches the gesture to the corresponding number word; recognizes the cardinal aspect of a number and the conservation of number in various combinationsGrade 1
QuebecE1.A.UWN.A.2bCounts collections (using objects or drawings): counts from a given numberGrade 1
QuebecE1.A.UWN.A.2cCounts collections (using objects or drawings): counts a collection by grouping or regroupingGrade 1
QuebecE1.A.UWN.A.5Composes and decomposes a natural number in a variety of waysGrade 1
QuebecE1.A.UWN.A.6Identifies equivalent expressionsGrade 1
QuebecE1.A.UWN.A.7Compares natural numbersGrade 1
QuebecE1.A.UWN.A.8Arranges natural numbers in increasing or decreasing orderGrade 1
QuebecE1.A.UWN.A.10Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line)Grade 1
QuebecE1.M.G.1Estimates and measures time using conventional unitsGrade 1
QuebecE1.M.G.2Establishes relationships between units of measureGrade 1
QuebecE1.A.UWN.A.13Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)Grade 1
QuebecE1.A.UWN.A.4aRepresents 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 materialsGrade 1
QuebecE2.A.MON.A.1Determines the operation(s) to perform in a given situationGrade 2
QuebecE2.A.MON.A.2Uses 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): transformation (adding, taking away), uniting, comparingGrade 2
QuebecE2.A.MON.A.3aUses 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, sharing, and number of times x goes into y (using objects and diagrams)Grade 2
QuebecE2.A.MON.A.5aDetermines numerical equivalencies using relationships between operations (addition and subtraction) and the commutative property of additionGrade 2
QuebecE2.A.MON.A.4Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)Grade 2
QuebecE2.A.ON.A.2aBuilds a repertoire of memorized addition and subtraction facts: Builds a memory of addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts, using objects, drawings, charts or tablesGrade 2
QuebecE2.A.ON.A.2bBuilds a repertoire of memorized addition and subtraction facts: Develops various strategies that promote mastery of number facts and relates them to the properties of additionGrade 2
QuebecE2.A.ON.A.2cBuilds a repertoire of memorized addition and subtraction facts: Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction factsGrade 2
QuebecE2.A.ON.A.3aDevelops processes for mental computation: Uses his/her own processes to determine the sum or difference of two natural numbersGrade 2
QuebecE2.A.ON.A.4aDevelops processes for written computation (addition and subtraction): Uses his/her own processes as well as objects and drawings to determine the sum or difference of two natural numbers less than 1000Grade 2
QuebecE2.A.ON.A.5Determines the missing term in an equation (relationships between operations): a + b = ?, a + ? = c, ? + b = c, a - b = ?, a - ? = c, ? - b = cGrade 2
QuebecE2.A.ON.A.13Using 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)Grade 2
QuebecE2.A.UWN.A.1aCounts or recites counting rhymes involving natural numbers: counts forward from a given numberGrade 2
QuebecE2.A.UWN.A.1bCounts or recites counting rhymes involving natural numbers: counts forward or backwardGrade 2
QuebecE2.A.UWN.A.1cCounts or recites counting rhymes involving natural numbers: skip counts (e.g. by twos)Grade 2
QuebecE2.A.UWN.A.2bCounts collections (using objects or drawings): counts from a given numberGrade 2
QuebecE2.A.UWN.A.2cCounts collections (using objects or drawings): counts a collection by grouping or regroupingGrade 2
QuebecE2.A.UWN.A.4bRepresents natural numbers in different ways or associates a number with a set of objects or drawings: emphasis on exchanging apparent, non-accessible groupings, using structured materials (e.g. base ten blocks, number tables)Grade 2
QuebecE2.A.UWN.A.5Composes and decomposes a natural number in a variety of waysGrade 2
QuebecE2.A.UWN.A.6Identifies equivalent expressionsGrade 2
QuebecE2.A.UWN.A.7Compares natural numbersGrade 2
QuebecE2.A.UWN.A.8Arranges natural numbers in increasing or decreasing orderGrade 2
QuebecE2.A.UWN.A.10Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line)Grade 2
QuebecE2.M.G.1Estimates and measures time using conventional unitsGrade 2
QuebecE2.M.G.2Establishes relationships between units of measureGrade 2
QuebecE2.A.UWN.A.13Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)Grade 2
QuebecE2.A.UWN.A.4aRepresents 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 materialsGrade 2
QuebecE3.S.3bInterprets data using a table, a bar graph, a pictograph and a broken-line graphGrade 3
QuebecE3.S.4bDisplays data using table, a bar graph, a pictograph and a broken-line graphGrade 3
QuebecE3.M.A.6Calculates the perimeter of plane figuresGrade 3
QuebecE3.A.MON.B.3aDetermines numerical equivalencies using the relationship between operations (addition and subtraction), the commutative property of addition and the associative propertyGrade 3
QuebecE3.A.MON.A.4Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)Grade 3
QuebecE3.A.ON.C.2aDevelops processes for mental computation: adds and subtracts decimalsGrade 3
QuebecE3.A.ON.C.3aDevelops processes for written computation: adds and subtracts decimals whose result does not go beyond the second decimal placeGrade 3
QuebecE3.A.ON.B.1Generates a set of equivalent fractionsGrade 3
QuebecE3.A.ON.A.2bBuilds a repertoire of memorized addition and subtraction facts: Develops various strategies that promote mastery of number facts and relates them to the properties of additionGrade 3
QuebecE3.A.ON.A.2cBuilds a repertoire of memorized addition and subtraction facts: Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction factsGrade 3
QuebecE3.A.ON.A.3bDevelops processes for mental computation: Uses his/her own processes to determine the product or quotient of two natural numbersGrade 3
QuebecE3.A.ON.A.4bDevelops processes for written computation (addition and subtraction): Uses conventional processes to determine the sum of two natural numbers of up to four digitsGrade 3
QuebecE3.A.ON.A.4cDevelops 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 0Grade 3
QuebecE3.A.ON.A.6aBuilds a repertoire of memorized multiplication and division facts: Builds a memory of multiplication facts and the corresponding division facts using objects drawings charts or tablesGrade 3
QuebecE3.A.ON.A.6bBuilds a repertoire of memorized multiplication and division facts: Develops various strategies that promote mastery of number facts and relate them to the properties of multiplicationGrade 3
QuebecE3.A.ON.A.6cBuilds a repertoire of memorized multiplication and division facts: Masters all multiplication facts and the corresponding division factsGrade 3
QuebecE3.A.ON.A.7aDevelops processes for written computation (multiplication and division): 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 contextGrade 3
QuebecE3.G.C.6Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)Grade 3
QuebecE3.G.C.7Classifies quadrilateralsGrade 3
QuebecE3.G.B.5Describes prisms and pyramids in terms of faces, vertices and edgesGrade 3
QuebecE3.G.B.6Classifies prisms and pyramidsGrade 3
QuebecE3.G.A.3Locates objects on an axis (based on the types of numbers studied)Grade 3
QuebecE3.G.A.4aLocates points in a Cartesian plane in the first quadrantGrade 3
QuebecE3.M.G.2Establishes relationships between units of measureGrade 3
QuebecE3.A.UWN.C.1Represents decimals in a variety of ways (using objects or drawings)Grade 3
QuebecE3.A.UWN.C.2Identifies equivalent representations (using objects or drawings)Grade 3
QuebecE3.A.UWN.C.4Understands the role of the decimal pointGrade 3
QuebecE3.A.UWN.C.5Composes and decomposes a decimal written in decimal notationGrade 3
QuebecE3.A.UWN.C.6Recognizes equivalent expressionsGrade 3
QuebecE3.A.UWN.C.7aLocates decimals on a number line between two consecutive natural numbersGrade 3
QuebecE3.A.UWN.C.8Compares two decimalsGrade 3
QuebecE3.A.UWN.C.9Approximates (e.g. estimates, rounds to a given value, truncates decimal places)Grade 3
QuebecE3.A.MON.B.1aUses 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): transformation (adding, taking away), uniting, comparingGrade 3
QuebecE3.A.MON.B.2Uses 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)Grade 3
QuebecE3.A.UWN.B.2Represents a fraction in a variety of ways, based on a whole or a collection of objectsGrade 3
QuebecE3.A.UWN.B.3Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versaGrade 3
QuebecE3.A.UWN.B.4Identifies the different meanings of fractions (sharing, division, ratio)Grade 3
QuebecE3.A.UWN.B.5Distinguishes a numerator from a denominatorGrade 3
QuebecE3.A.UWN.B.8Verifies whether two fractions are equivalentGrade 3
QuebecE3.A.UWN.A.2cCounts collections (using objects or drawings): counts a collection by grouping or regroupingGrade 3
QuebecE3.A.UWN.A.2dCounts collections (using objects or drawings): counts a pre-grouped collectionGrade 3
QuebecE3.A.UWN.A.4bRepresents natural numbers in different ways or associates a number with a set of objects or drawings: emphasis on exchanging apparent, non-accessible groupings, using structured materials (e.g. base ten blocks, number tables)Grade 3
QuebecE3.A.UWN.A.5Composes and decomposes a natural number in a variety of waysGrade 3
QuebecE3.A.MON.A.3bUses 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)Grade 3
QuebecE3.A.MON.A.5bDetermines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication and the associative propertyGrade 3
QuebecE3.A.UWN.A.4cRepresents natural numbers in different ways or associates a number with a set of objects or drawings: emphasis on place value in non-apparent, non-accessible groupings, using materials for which groupings are symbolic (e.g. abacus, money)Grade 3
QuebecE3.A.UWN.A.6Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12)Grade 3
QuebecE3.A.UWN.A.7Compares natural numbersGrade 3
QuebecE4.S.3bInterprets data using a table, a bar graph, a pictograph and a broken-line graphGrade 4
QuebecE4.S.4bDisplays data using table, a bar graph, a pictograph and a broken-line graphGrade 4
QuebecE4.A.MON.B.3aDetermines numerical equivalencies using the relationship between operations (addition and subtraction), the commutative property of addition and the associative propertyGrade 4
QuebecE4.A.ON.C.2aDevelops processes for mental computation: adds and subtracts decimalsGrade 4
QuebecE4.A.ON.C.3aDevelops processes for written computation: adds and subtracts decimals whose result does not go beyond the second decimal placeGrade 4
QuebecE4.A.ON.B.1Generates a set of equivalent fractionsGrade 4
QuebecE4.A.ON.A.3bDevelops processes for mental computation: Uses his/her own processes to determine the product or quotient of two natural numbersGrade 4
QuebecE4.A.ON.A.4bDevelops processes for written computation (addition and subtraction): Uses conventional processes to determine the sum of two natural numbers of up to four digitsGrade 4
QuebecE4.A.ON.A.4cDevelops 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 0Grade 4
QuebecE4.A.ON.A.6aBuilds a repertoire of memorized multiplication and division facts: Builds a memory of multiplication facts (0 x 0 to 10 x 10) and the corresponding division facts using objects drawings charts or tablesGrade 4
QuebecE4.A.ON.A.6bBuilds a repertoire of memorized multiplication and division facts: Develops various strategies that promote mastery of number facts and relate them to the properties of multiplicationGrade 4
QuebecE4.A.ON.A.6cBuilds a repertoire of memorized multiplication and division facts: Masters all multiplication facts (0 x 0 to 10 x 10) and the corresponding division factsGrade 4
QuebecE4.A.ON.A.7aDevelops processes for written computation (multiplication and division): 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 contextGrade 4
QuebecE4.A.ON.A.9Decomposes a number into prime factorsGrade 4
QuebecE4.A.ON.A.8Determines the missing term in an equation (relationships between operations): a + b = ?, a + ? = c, ? + b = c, a - b = ?, a - ? = c, ? - b = cGrade 4
QuebecE4.G.C.6Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)Grade 4
QuebecE4.G.C.7Classifies quadrilateralsGrade 4
QuebecE4.G.B.5Describes prisms and pyramids in terms of faces, vertices and edgesGrade 4
QuebecE4.G.B.6Classifies prisms and pyramidsGrade 4
QuebecE4.G.A.3Locates objects on an axis (based on the types of numbers studied)Grade 4
QuebecE4.G.A.4aLocates points in a Cartesian plane in the first quadrantGrade 4
QuebecE4.M.G.2Establishes relationships between units of measureGrade 4
QuebecE4.A.UWN.C.1Represents decimals in a variety of ways (using objects or drawings)Grade 4
QuebecE4.A.UWN.C.2Identifies equivalent representations (using objects or drawings)Grade 4
QuebecE4.A.UWN.C.4Understands the role of the decimal pointGrade 4
QuebecE4.A.UWN.C.5Composes and decomposes a decimal written in decimal notationGrade 4
QuebecE4.A.UWN.C.6Recognizes equivalent expressionsGrade 4
QuebecE4.A.UWN.C.7aLocates decimals on a number line between two consecutive natural numbersGrade 4
QuebecE4.A.UWN.C.7bLocates decimals on a number line between two decimalsGrade 4
QuebecE4.A.UWN.C.8Compares two decimalsGrade 4
QuebecE4.A.UWN.C.9Approximates (e.g. estimates, rounds to a given value, truncates decimal places)Grade 4
QuebecE4.A.MON.B.1aUses 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): transformation (adding, taking away), uniting, comparingGrade 4
QuebecE4.A.MON.B.2Uses 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)Grade 4
QuebecE4.A.UWN.B.2Represents a fraction in a variety of ways, based on a whole or a collection of objectsGrade 4
QuebecE4.A.UWN.B.3Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versaGrade 4
QuebecE4.A.UWN.B.4Identifies the different meanings of fractions (sharing, division, ratio)Grade 4
QuebecE4.A.UWN.B.5Distinguishes a numerator from a denominatorGrade 4
QuebecE4.A.UWN.B.8Verifies whether two fractions are equivalentGrade 4
QuebecE4.A.UWN.B.10Orders fractions with the same denominatorGrade 4
QuebecE4.A.UWN.A.2cCounts collections (using objects or drawings): counts a collection by grouping or regroupingGrade 4
QuebecE4.A.UWN.A.2dCounts collections (using objects or drawings): counts a pre-grouped collectionGrade 4
QuebecE4.A.UWN.A.4bRepresents natural numbers in different ways or associates a number with a set of objects or drawings: emphasis on exchanging apparent, non-accessible groupings, using structured materials (e.g. base ten blocks, number tables)Grade 4
QuebecE4.A.UWN.A.5Composes and decomposes a natural number in a variety of waysGrade 4
QuebecE4.A.MON.A.3bUses 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)Grade 4
QuebecE4.A.MON.A.5bDetermines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication and the associative propertyGrade 4
QuebecE4.A.UWN.A.6Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12)Grade 4
QuebecE4.A.UWN.A.7Compares natural numbersGrade 4
QuebecE5.M.D.2Estimates and determines the degree measurement of anglesGrade 5
QuebecE5.S.3cInterprets data using a table, a bar graph, a pictograph, a broken-line graph and a circle graphGrade 5
QuebecE5.A.ON.C.1bApproximates the result of a multiplication or divisionGrade 5
QuebecE5.A.ON.C.2bDevelops processes for mental computation: performs operations involving decimals (multiplication, division by a natural number)Grade 5
QuebecE5.A.ON.C.3bDevelops processes for written computation: multiplies decimals whose product does not go beyond the second decimal placeGrade 5
QuebecE5.A.ON.C.3cDevelops processes for written computation: divides a decimal by a natural number less than 11Grade 5
QuebecE5.A.ON.B.1Generates a set of equivalent fractionsGrade 5
QuebecE5.A.ON.B.3Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s)Grade 5
QuebecE5.A.ON.B.4Multiplies a natural number by a fractionGrade 5
QuebecE5.A.ON.A.3bDevelops processes for mental computation: Uses his/her own processes to determine the product or quotient of two natural numbersGrade 5
QuebecE5.A.ON.A.6bBuilds a repertoire of memorized multiplication and division facts: Develops various strategies that promote mastery of number facts and relate them to the properties of multiplicationGrade 5
QuebecE5.A.ON.A.6cBuilds a repertoire of memorized multiplication and division facts: Masters all multiplication facts (0 x 0 to 10 x 10) and the corresponding division factsGrade 5
QuebecE5.A.ON.A.7bDevelops processes for written computation (multiplication and division): Uses conventional processes to determine the product of a three-digit natural number and a two-digit natural numberGrade 5
QuebecE5.A.ON.A.7cDevelops processes for written computation (multiplication and division): Uses conventional processes to determine the quotient of a four-digit natural number and a two-digit natural number, expresses the remainder of a division as a decimal that does not go beyond the second decimal placeGrade 5
QuebecE5.A.ON.A.9Decomposes a number into prime factorsGrade 5
QuebecE5.A.ON.A.10Calculates the power of a numberGrade 5
QuebecE5.A.ON.A.12Performs a series of operations in accordance with the order of operationsGrade 5
QuebecE5.A.ON.A.8Determines the missing term in an equation (relationships between operations): a + b = ?, a + ? = c, ? + b = c, a - b = ?, a - ? = c, ? - b = cGrade 5
QuebecE5.G.C.8Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral trianglesGrade 5
QuebecE5.G.C.9Classifies trianglesGrade 5
QuebecE5.G.A.4bLocates points in a Cartesian plane in all four quadrantsGrade 5
QuebecE5.G.A.3Locates objects on an axis (based on the types of numbers studied)Grade 5
QuebecE5.M.G.2Establishes relationships between units of measureGrade 5
QuebecE5.A.UWN.C.1Represents decimals in a variety of ways (using objects or drawings)Grade 5
QuebecE5.A.UWN.C.2Identifies equivalent representations (using objects or drawings)Grade 5
QuebecE5.A.UWN.C.5Composes and decomposes a decimal written in decimal notationGrade 5
QuebecE5.A.UWN.C.6Recognizes equivalent expressionsGrade 5
QuebecE5.A.UWN.C.7aLocates decimals on a number line between two consecutive natural numbersGrade 5
QuebecE5.A.UWN.C.7bLocates decimals on a number line between two decimalsGrade 5
QuebecE5.A.MON.B.1aUses 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): transformation (adding, taking away), uniting, comparingGrade 5
QuebecE5.A.MON.B.2Uses 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)Grade 5
QuebecE5.A.UWN.B.2Represents a fraction in a variety of ways, based on a whole or a collection of objectsGrade 5
QuebecE5.A.UWN.B.8Verifies whether two fractions are equivalentGrade 5
QuebecE5.A.UWN.B.10Orders fractions with the same denominatorGrade 5
QuebecE5.A.UWN.B.12Orders fractions with the same numeratorGrade 5
QuebecE5.A.UWN.B.13Locates fractions on a number lineGrade 5
QuebecE5.A.UWN.D.3Locates integers on a number line or Cartesian planeGrade 5
QuebecE5.A.UWN.D.4Compares integersGrade 5
QuebecE5.A.UWN.D.5Arranges integers in increasing or decreasing orderGrade 5
QuebecE5.A.UWN.A.14Represents the power of a natural numberGrade 5
QuebecE5.A.MON.A.5cDetermines numerical equivalencies using 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 subtractionGrade 5
QuebecE5.A.MON.A.6Translates a situation using a series of operations in accordance with the order of operationsGrade 5
QuebecE6.M.D.2Estimates and determines the degree measurement of anglesGrade 6
QuebecE6.S.1Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)Grade 6
QuebecE6.A.ON.C.1bApproximates the result of a multiplication or divisionGrade 6
QuebecE6.A.ON.C.2bDevelops processes for mental computation: performs operations involving decimals (multiplication, division by a natural number)Grade 6
QuebecE6.A.ON.C.3bDevelops processes for written computation: multiplies decimals whose product does not go beyond the second decimal placeGrade 6
QuebecE6.A.ON.C.3cDevelops processes for written computation: divides a decimal by a natural number less than 11Grade 6
QuebecE6.A.ON.B.1Generates a set of equivalent fractionsGrade 6
QuebecE6.A.ON.B.3Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s)Grade 6
QuebecE6.A.ON.B.4Multiplies a natural number by a fractionGrade 6
QuebecE6.A.ON.A.3bDevelops processes for mental computation: Uses his/her own processes to determine the product or quotient of two natural numbersGrade 6
QuebecE6.A.ON.A.7bDevelops processes for written computation (multiplication and division): Uses conventional processes to determine the product of a three-digit natural number and a two-digit natural numberGrade 6
QuebecE6.A.ON.A.7cDevelops processes for written computation (multiplication and division): Uses conventional processes to determine the quotient of a four-digit natural number and a two-digit natural number, expresses the remainder of a division as a decimal that does not go beyond the second decimal placeGrade 6
QuebecE6.A.ON.A.9Decomposes a number into prime factorsGrade 6
QuebecE6.A.ON.A.10Calculates the power of a numberGrade 6
QuebecE6.A.ON.A.12Performs a series of operations in accordance with the order of operationsGrade 6
QuebecE6.G.C.8Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral trianglesGrade 6
QuebecE6.G.C.9Classifies trianglesGrade 6
QuebecE6.G.A.4bLocates points in a Cartesian plane in all four quadrantsGrade 6
QuebecE6.G.A.3Locates objects on an axis (based on the types of numbers studied)Grade 6
QuebecE6.M.G.2Establishes relationships between units of measureGrade 6
QuebecE6.A.UWN.C.1Represents decimals in a variety of ways (using objects or drawings)Grade 6
QuebecE6.A.UWN.C.2Identifies equivalent representations (using objects or drawings)Grade 6
QuebecE6.A.UWN.C.5Composes and decomposes a decimal written in decimal notationGrade 6
QuebecE6.A.UWN.C.6Recognizes equivalent expressionsGrade 6
QuebecE6.A.UWN.C.7aLocates decimals on a number line between two consecutive natural numbersGrade 6
QuebecE6.A.UWN.C.7bLocates decimals on a number line between two decimalsGrade 6
QuebecE6.A.MON.B.1aUses 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): transformation (adding, taking away), uniting, comparingGrade 6
QuebecE6.A.MON.B.2Uses 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)Grade 6
QuebecE6.A.UWN.B.2Represents a fraction in a variety of ways, based on a whole or a collection of objectsGrade 6
QuebecE6.A.UWN.B.8Verifies whether two fractions are equivalentGrade 6
QuebecE6.A.UWN.B.12Orders fractions with the same numeratorGrade 6
QuebecE6.A.UWN.B.13Locates fractions on a number lineGrade 6
QuebecE6.A.UWN.D.3Locates integers on a number line or Cartesian planeGrade 6
QuebecE6.A.UWN.D.4Compares integersGrade 6
QuebecE6.A.UWN.D.5Arranges integers in increasing or decreasing orderGrade 6
QuebecE6.A.UWN.A.14Represents the power of a natural numberGrade 6
QuebecE6.A.MON.A.5cDetermines numerical equivalencies using 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 subtractionGrade 6
QuebecE6.A.MON.A.6Translates a situation using a series of operations in accordance with the order of operationsGrade 6
QuebecS1.AG.ASAG.A.2Locates points in a Cartesian plane, based on the types of numbers studied (x- and y-coordinates of a point)Grade 7
QuebecS1.A.ORN.7aComputes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations: numbers written in decimal notation, using rules of signsGrade 7
QuebecS1.A.ORN.6Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operationsGrade 7
QuebecS1.A.ORN.7bComputes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations: positive numbers written in fractional notation, with or without the use of objects or diagramsGrade 7
QuebecS2.A.ORN.5Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operationsGrade 7
QuebecS2.A.ORN.7bComputes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations: positive numbers written in fractional notation, with or without the use of objects or diagramsGrade 7
QuebecS1.A.ORN.8Computes, in writing, sequences of operations (numbers written in decimal notation) in accordance with the order of operations, using equivalent ways of writing numbers and the properties of operations (with no more than two levels of parentheses)Grade 7
QuebecS1.G.SSAS.A.5Recognizes and names regular convex polygonsGrade 7
QuebecS1.G.SSAS.D.3Recognizes the geometric transformation(s) linking a figure and its imageGrade 7
QuebecS1.G.SSAS.C.3Identifies congruence (translation, rotation and reflection) between two figuresGrade 7
QuebecS1.G.SSAS.C.4Constructs the image of a figure under a translation, rotation and reflectionGrade 7
QuebecS1.G.SSAS.C.5Recognizes dilatation with a positive scale factorGrade 7
QuebecS1.G.SSAS.C.6Constructs the image of a figure under a dilatation with a positive scale factorGrade 7
QuebecS1.A.UAPS.1aCalculates a certain percentage of a numberGrade 7
QuebecS1.A.UAPS.1bCalculates the value corresponding to 100 per centGrade 7
QuebecS1.A.UAPS.2Recognizes ratios and ratesGrade 7
QuebecS1.A.UAPS.3Interprets ratios and ratesGrade 7
QuebecS1.A.UAPS.4Describes the effect of changing a term in a ratio or rateGrade 7
QuebecS1.A.UAPS.8Represents or interprets a proportional situation using a graph, a table of values or a proportionGrade 7
QuebecS1.A.UAPS.9Solves proportional situations (direct or inverse variation) by using different strategies (e.g. unit-rate method, factor of change, proportionality ratio, additive procedure, constant product [inverse variation])Grade 7
QuebecS1.AL.UMAE.B.1Calculates the numeric value of an algebraic expressionGrade 7
QuebecS1.AL.UMAE.B.2Performs the following operations on algebraic expressions, with or without objects or diagrams: addition and subtraction, multiplication and division by a constant, multiplication of first-degree monomialsGrade 7
QuebecS1.AL.UMAE.B.3Factors out the common factor in numerical expressions (distributive property of multiplication over addition or subtraction)Grade 7
QuebecS1.AL.UMAE.C.9Uses different methods to solve first-degree equations with one unknown of the form ax + b = cx + d : trial and error, drawings, arithmetic methods (inverse or equivalent operations), algebraic methods (balancing equations or hidden terms)Grade 7
QuebecS1.A.UORN.6Translates (mathematizes) a situation using a sequence of operations (no more than two levels of parentheses)Grade 7
QuebecS1.A.URN.10Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points)Grade 7
QuebecS1.A.URN.11cRepresents and writes numbers in exponential notation (integral exponent)Grade 7
QuebecS1.A.URN.15aCompares and arranges in order numbers written in fractional or decimal notationGrade 7
QuebecS1.A.URN.15bCompares and arranges in order numbers expressed in different ways (fractional, decimal, exponential [integral exponent], percentage, square root, scientific notation)Grade 7
QuebecS2.A.ORN.7aComputes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations: numbers written in decimal notation, using rules of signsGrade 8
QuebecS2.A.ORN.6Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operationsGrade 8
QuebecS2.G.SSAS.C.4Constructs the image of a figure under a translation, rotation and reflectionGrade 8
QuebecS2.A.UAPS.1bCalculates the value corresponding to 100 per centGrade 8
QuebecS2.AL.UMAE.C.9Uses different methods to solve first-degree equations with one unknown of the form ax + b = cx + d : trial and error, drawings, arithmetic methods (inverse or equivalent operations), algebraic methods (balancing equations or hidden terms)Grade 8
QuebecS2.AL.UMAE.D.4bSolves a system involving various functional models (mostly graphical solutions)Grade 8
QuebecS2.AL.UMAE.D.2aTranslates a situation algebraically or graphically using a system of equationsGrade 8
QuebecS2.AL.UMAE.B.1Calculates the numeric value of an algebraic expressionGrade 8
QuebecS2.AL.UMAE.B.2Performs the following operations on algebraic expressions, with or without objects or diagrams: addition and subtraction, multiplication and division by a constant, multiplication of first-degree monomialsGrade 8
QuebecS2.AL.UMAE.B.6bFactors polynomials by factoring by grouping (polynomials including decomposable second-degree trinomials)Grade 8
QuebecS2.AL.UMAE.B.6cFactors polynomials by completing the square (factoring and switching from one type of notation to another)Grade 8
QuebecS2.A.URN.10Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points)Grade 8
QuebecS2.G.SSAS.C.3Identifies congruence (translation, rotation and reflection) between two figuresGrade 8
QuebecS2.G.SSAS.C.5Recognizes dilatation with a positive scale factorGrade 8
QuebecS2.G.SSAS.C.6Constructs the image of a figure under a dilatation with a positive scale factorGrade 8
QuebecS2.G.SSAS.D.3Recognizes the geometric transformation(s) linking a figure and its imageGrade 8