#### 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

Region | Standard | Description | Level |
---|---|---|---|

Quebec | E1.A.MON.A.1 | Determines the operation(s) to perform in a given situation | Grade 1 |

Quebec | E1.A.MON.A.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 addition and subtraction): transformation (adding, taking away), uniting, comparing | Grade 1 |

Quebec | E1.A.MON.A.3a | 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, sharing, and number of times x goes into y (using objects and diagrams) | Grade 1 |

Quebec | E1.A.MON.A.5a | Determines numerical equivalencies using relationships between operations (addition and subtraction) and the commutative property of addition | Grade 1 |

Quebec | E1.A.MON.A.4 | Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1) | Grade 1 |

Quebec | E1.A.ON.A.2a | Builds 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 tables | Grade 1 |

Quebec | E1.A.ON.A.2b | 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 | Grade 1 |

Quebec | E1.A.ON.A.2c | Builds a repertoire of memorized addition and subtraction facts: Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts | Grade 1 |

Quebec | E1.A.ON.A.3a | Develops processes for mental computation: Uses his/her own processes to determine the sum or difference of two natural numbers | Grade 1 |

Quebec | E1.A.ON.A.4a | Develops 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 1000 | Grade 1 |

Quebec | E1.A.ON.A.5 | Determines the missing term in an equation (relationships between operations): a + b = ?, a + ? = c, ? + b = c, a - b = ?, a - ? = c, ? - b = c | Grade 1 |

Quebec | E1.A.ON.A.13 | 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) | Grade 1 |

Quebec | E1.A.UWN.A.1a | Counts or recites counting rhymes involving natural numbers: counts forward from a given number | Grade 1 |

Quebec | E1.A.UWN.A.1b | Counts or recites counting rhymes involving natural numbers: counts forward or backward | Grade 1 |

Quebec | E1.A.UWN.A.1c | Counts or recites counting rhymes involving natural numbers: skip counts (e.g. by twos) | Grade 1 |

Quebec | E1.A.UWN.A.2a | Counts 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 combinations | Grade 1 |

Quebec | E1.A.UWN.A.2b | Counts collections (using objects or drawings): counts from a given number | Grade 1 |

Quebec | E1.A.UWN.A.2c | Counts collections (using objects or drawings): counts a collection by grouping or regrouping | Grade 1 |

Quebec | E1.A.UWN.A.5 | Composes and decomposes a natural number in a variety of ways | Grade 1 |

Quebec | E1.A.UWN.A.6 | Identifies equivalent expressions | Grade 1 |

Quebec | E1.A.UWN.A.7 | Compares natural numbers | Grade 1 |

Quebec | E1.A.UWN.A.8 | Arranges natural numbers in increasing or decreasing order | Grade 1 |

Quebec | E1.A.UWN.A.10 | Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line) | Grade 1 |

Quebec | E1.M.G.1 | Estimates and measures time using conventional units | Grade 1 |

Quebec | E1.M.G.2 | Establishes relationships between units of measure | Grade 1 |

Quebec | E1.A.UWN.A.13 | Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value) | Grade 1 |

Quebec | E1.A.UWN.A.4a | 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 | Grade 1 |

Quebec | E2.A.MON.A.1 | Determines the operation(s) to perform in a given situation | Grade 2 |

Quebec | E2.A.MON.A.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 addition and subtraction): transformation (adding, taking away), uniting, comparing | Grade 2 |

Quebec | E2.A.MON.A.3a | 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, sharing, and number of times x goes into y (using objects and diagrams) | Grade 2 |

Quebec | E2.A.MON.A.5a | Determines numerical equivalencies using relationships between operations (addition and subtraction) and the commutative property of addition | Grade 2 |

Quebec | E2.A.MON.A.4 | Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1) | Grade 2 |

Quebec | E2.A.ON.A.2a | Builds 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 tables | Grade 2 |

Quebec | E2.A.ON.A.2b | 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 | Grade 2 |

Quebec | E2.A.ON.A.2c | Builds a repertoire of memorized addition and subtraction facts: Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts | Grade 2 |

Quebec | E2.A.ON.A.3a | Develops processes for mental computation: Uses his/her own processes to determine the sum or difference of two natural numbers | Grade 2 |

Quebec | E2.A.ON.A.4a | Develops 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 1000 | Grade 2 |

Quebec | E2.A.ON.A.5 | Determines the missing term in an equation (relationships between operations): a + b = ?, a + ? = c, ? + b = c, a - b = ?, a - ? = c, ? - b = c | Grade 2 |

Quebec | E2.A.ON.A.13 | 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) | Grade 2 |

Quebec | E2.A.UWN.A.1a | Counts or recites counting rhymes involving natural numbers: counts forward from a given number | Grade 2 |

Quebec | E2.A.UWN.A.1b | Counts or recites counting rhymes involving natural numbers: counts forward or backward | Grade 2 |

Quebec | E2.A.UWN.A.1c | Counts or recites counting rhymes involving natural numbers: skip counts (e.g. by twos) | Grade 2 |

Quebec | E2.A.UWN.A.2b | Counts collections (using objects or drawings): counts from a given number | Grade 2 |

Quebec | E2.A.UWN.A.2c | Counts collections (using objects or drawings): counts a collection by grouping or regrouping | Grade 2 |

Quebec | E2.A.UWN.A.4b | Represents 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 |

Quebec | E2.A.UWN.A.5 | Composes and decomposes a natural number in a variety of ways | Grade 2 |

Quebec | E2.A.UWN.A.6 | Identifies equivalent expressions | Grade 2 |

Quebec | E2.A.UWN.A.7 | Compares natural numbers | Grade 2 |

Quebec | E2.A.UWN.A.8 | Arranges natural numbers in increasing or decreasing order | Grade 2 |

Quebec | E2.A.UWN.A.10 | Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line) | Grade 2 |

Quebec | E2.M.G.1 | Estimates and measures time using conventional units | Grade 2 |

Quebec | E2.M.G.2 | Establishes relationships between units of measure | Grade 2 |

Quebec | E2.A.UWN.A.13 | Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value) | Grade 2 |

Quebec | E2.A.UWN.A.4a | 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 | Grade 2 |

Quebec | E3.S.3b | Interprets data using a table, a bar graph, a pictograph and a broken-line graph | Grade 3 |

Quebec | E3.S.4b | Displays data using table, a bar graph, a pictograph and a broken-line graph | Grade 3 |

Quebec | E3.M.A.6 | Calculates the perimeter of plane figures | Grade 3 |

Quebec | E3.A.MON.B.3a | Determines numerical equivalencies using the relationship between operations (addition and subtraction), the commutative property of addition and the associative property | Grade 3 |

Quebec | E3.A.MON.A.4 | Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1) | Grade 3 |

Quebec | E3.A.ON.C.2a | Develops processes for mental computation: adds and subtracts decimals | Grade 3 |

Quebec | E3.A.ON.C.3a | Develops processes for written computation: adds and subtracts decimals whose result does not go beyond the second decimal place | Grade 3 |

Quebec | E3.A.ON.B.1 | Generates a set of equivalent fractions | Grade 3 |

Quebec | E3.A.ON.A.2b | 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 | Grade 3 |

Quebec | E3.A.ON.A.2c | Builds a repertoire of memorized addition and subtraction facts: Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts | Grade 3 |

Quebec | E3.A.ON.A.3b | Develops processes for mental computation: Uses his/her own processes to determine the product or quotient of two natural numbers | Grade 3 |

Quebec | E3.A.ON.A.4b | Develops processes for written computation (addition and subtraction): Uses conventional processes to determine the sum of two natural numbers of up to four digits | Grade 3 |

Quebec | E3.A.ON.A.4c | 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 | Grade 3 |

Quebec | E3.A.ON.A.6a | Builds a repertoire of memorized multiplication and division facts: Builds a memory of multiplication facts and the corresponding division facts using objects drawings charts or tables | Grade 3 |

Quebec | E3.A.ON.A.6b | Builds a repertoire of memorized multiplication and division facts: Develops various strategies that promote mastery of number facts and relate them to the properties of multiplication | Grade 3 |

Quebec | E3.A.ON.A.6c | Builds a repertoire of memorized multiplication and division facts: Masters all multiplication facts and the corresponding division facts | Grade 3 |

Quebec | E3.A.ON.A.7a | Develops 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 context | Grade 3 |

Quebec | E3.G.C.6 | Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles) | Grade 3 |

Quebec | E3.G.C.7 | Classifies quadrilaterals | Grade 3 |

Quebec | E3.G.B.5 | Describes prisms and pyramids in terms of faces, vertices and edges | Grade 3 |

Quebec | E3.G.B.6 | Classifies prisms and pyramids | Grade 3 |

Quebec | E3.G.A.3 | Locates objects on an axis (based on the types of numbers studied) | Grade 3 |

Quebec | E3.G.A.4a | Locates points in a Cartesian plane in the first quadrant | Grade 3 |

Quebec | E3.M.G.2 | Establishes relationships between units of measure | Grade 3 |

Quebec | E3.A.UWN.C.1 | Represents decimals in a variety of ways (using objects or drawings) | Grade 3 |

Quebec | E3.A.UWN.C.2 | Identifies equivalent representations (using objects or drawings) | Grade 3 |

Quebec | E3.A.UWN.C.4 | Understands the role of the decimal point | Grade 3 |

Quebec | E3.A.UWN.C.5 | Composes and decomposes a decimal written in decimal notation | Grade 3 |

Quebec | E3.A.UWN.C.6 | Recognizes equivalent expressions | Grade 3 |

Quebec | E3.A.UWN.C.7a | Locates decimals on a number line between two consecutive natural numbers | Grade 3 |

Quebec | E3.A.UWN.C.8 | Compares two decimals | Grade 3 |

Quebec | E3.A.UWN.C.9 | Approximates (e.g. estimates, rounds to a given value, truncates decimal places) | Grade 3 |

Quebec | E3.A.MON.B.1a | 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): transformation (adding, taking away), uniting, comparing | Grade 3 |

Quebec | E3.A.MON.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) | Grade 3 |

Quebec | E3.A.UWN.B.2 | Represents a fraction in a variety of ways, based on a whole or a collection of objects | Grade 3 |

Quebec | E3.A.UWN.B.3 | Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa | Grade 3 |

Quebec | E3.A.UWN.B.4 | Identifies the different meanings of fractions (sharing, division, ratio) | Grade 3 |

Quebec | E3.A.UWN.B.5 | Distinguishes a numerator from a denominator | Grade 3 |

Quebec | E3.A.UWN.B.8 | Verifies whether two fractions are equivalent | Grade 3 |

Quebec | E3.A.UWN.A.2c | Counts collections (using objects or drawings): counts a collection by grouping or regrouping | Grade 3 |

Quebec | E3.A.UWN.A.2d | Counts collections (using objects or drawings): counts a pre-grouped collection | Grade 3 |

Quebec | E3.A.UWN.A.4b | Represents 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 |

Quebec | E3.A.UWN.A.5 | Composes and decomposes a natural number in a variety of ways | Grade 3 |

Quebec | E3.A.MON.A.3b | 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) | Grade 3 |

Quebec | E3.A.MON.A.5b | Determines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication and the associative property | Grade 3 |

Quebec | E3.A.UWN.A.4c | Represents 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 |

Quebec | E3.A.UWN.A.6 | Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12) | Grade 3 |

Quebec | E3.A.UWN.A.7 | Compares natural numbers | Grade 3 |

Quebec | E4.S.3b | Interprets data using a table, a bar graph, a pictograph and a broken-line graph | Grade 4 |

Quebec | E4.S.4b | Displays data using table, a bar graph, a pictograph and a broken-line graph | Grade 4 |

Quebec | E4.A.MON.B.3a | Determines numerical equivalencies using the relationship between operations (addition and subtraction), the commutative property of addition and the associative property | Grade 4 |

Quebec | E4.A.ON.C.2a | Develops processes for mental computation: adds and subtracts decimals | Grade 4 |

Quebec | E4.A.ON.C.3a | Develops processes for written computation: adds and subtracts decimals whose result does not go beyond the second decimal place | Grade 4 |

Quebec | E4.A.ON.B.1 | Generates a set of equivalent fractions | Grade 4 |

Quebec | E4.A.ON.A.3b | Develops processes for mental computation: Uses his/her own processes to determine the product or quotient of two natural numbers | Grade 4 |

Quebec | E4.A.ON.A.4b | Develops processes for written computation (addition and subtraction): Uses conventional processes to determine the sum of two natural numbers of up to four digits | Grade 4 |

Quebec | E4.A.ON.A.4c | 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 | Grade 4 |

Quebec | E4.A.ON.A.6a | Builds 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 tables | Grade 4 |

Quebec | E4.A.ON.A.6b | Builds a repertoire of memorized multiplication and division facts: Develops various strategies that promote mastery of number facts and relate them to the properties of multiplication | Grade 4 |

Quebec | E4.A.ON.A.6c | Builds a repertoire of memorized multiplication and division facts: Masters all multiplication facts (0 x 0 to 10 x 10) and the corresponding division facts | Grade 4 |

Quebec | E4.A.ON.A.7a | Develops 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 context | Grade 4 |

Quebec | E4.A.ON.A.9 | Decomposes a number into prime factors | Grade 4 |

Quebec | E4.A.ON.A.8 | Determines the missing term in an equation (relationships between operations): a + b = ?, a + ? = c, ? + b = c, a - b = ?, a - ? = c, ? - b = c | Grade 4 |

Quebec | E4.G.C.6 | Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles) | Grade 4 |

Quebec | E4.G.C.7 | Classifies quadrilaterals | Grade 4 |

Quebec | E4.G.B.5 | Describes prisms and pyramids in terms of faces, vertices and edges | Grade 4 |

Quebec | E4.G.B.6 | Classifies prisms and pyramids | Grade 4 |

Quebec | E4.G.A.3 | Locates objects on an axis (based on the types of numbers studied) | Grade 4 |

Quebec | E4.G.A.4a | Locates points in a Cartesian plane in the first quadrant | Grade 4 |

Quebec | E4.M.G.2 | Establishes relationships between units of measure | Grade 4 |

Quebec | E4.A.UWN.C.1 | Represents decimals in a variety of ways (using objects or drawings) | Grade 4 |

Quebec | E4.A.UWN.C.2 | Identifies equivalent representations (using objects or drawings) | Grade 4 |

Quebec | E4.A.UWN.C.4 | Understands the role of the decimal point | Grade 4 |

Quebec | E4.A.UWN.C.5 | Composes and decomposes a decimal written in decimal notation | Grade 4 |

Quebec | E4.A.UWN.C.6 | Recognizes equivalent expressions | Grade 4 |

Quebec | E4.A.UWN.C.7a | Locates decimals on a number line between two consecutive natural numbers | Grade 4 |

Quebec | E4.A.UWN.C.7b | Locates decimals on a number line between two decimals | Grade 4 |

Quebec | E4.A.UWN.C.8 | Compares two decimals | Grade 4 |

Quebec | E4.A.UWN.C.9 | Approximates (e.g. estimates, rounds to a given value, truncates decimal places) | Grade 4 |

Quebec | E4.A.MON.B.1a | Grade 4 | |

Quebec | E4.A.MON.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) | Grade 4 |

Quebec | E4.A.UWN.B.2 | Represents a fraction in a variety of ways, based on a whole or a collection of objects | Grade 4 |

Quebec | E4.A.UWN.B.3 | Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa | Grade 4 |

Quebec | E4.A.UWN.B.4 | Identifies the different meanings of fractions (sharing, division, ratio) | Grade 4 |

Quebec | E4.A.UWN.B.5 | Distinguishes a numerator from a denominator | Grade 4 |

Quebec | E4.A.UWN.B.8 | Verifies whether two fractions are equivalent | Grade 4 |

Quebec | E4.A.UWN.B.10 | Orders fractions with the same denominator | Grade 4 |

Quebec | E4.A.UWN.A.2c | Counts collections (using objects or drawings): counts a collection by grouping or regrouping | Grade 4 |

Quebec | E4.A.UWN.A.2d | Counts collections (using objects or drawings): counts a pre-grouped collection | Grade 4 |

Quebec | E4.A.UWN.A.4b | Represents 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 |

Quebec | E4.A.UWN.A.5 | Composes and decomposes a natural number in a variety of ways | Grade 4 |

Quebec | E4.A.MON.A.3b | 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) | Grade 4 |

Quebec | E4.A.MON.A.5b | Determines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication and the associative property | Grade 4 |

Quebec | E4.A.UWN.A.6 | Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12) | Grade 4 |

Quebec | E4.A.UWN.A.7 | Compares natural numbers | Grade 4 |

Quebec | E5.M.D.2 | Estimates and determines the degree measurement of angles | Grade 5 |

Quebec | E5.S.3c | Interprets data using a table, a bar graph, a pictograph, a broken-line graph and a circle graph | Grade 5 |

Quebec | E5.A.ON.C.1b | Approximates the result of a multiplication or division | Grade 5 |

Quebec | E5.A.ON.C.2b | Develops processes for mental computation: performs operations involving decimals (multiplication, division by a natural number) | Grade 5 |

Quebec | E5.A.ON.C.3b | Develops processes for written computation: multiplies decimals whose product does not go beyond the second decimal place | Grade 5 |

Quebec | E5.A.ON.C.3c | Develops processes for written computation: divides a decimal by a natural number less than 11 | Grade 5 |

Quebec | E5.A.ON.B.1 | Generates a set of equivalent fractions | Grade 5 |

Quebec | E5.A.ON.B.3 | Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s) | Grade 5 |

Quebec | E5.A.ON.B.4 | Multiplies a natural number by a fraction | Grade 5 |

Quebec | E5.A.ON.A.3b | Develops processes for mental computation: Uses his/her own processes to determine the product or quotient of two natural numbers | Grade 5 |

Quebec | E5.A.ON.A.6b | Builds a repertoire of memorized multiplication and division facts: Develops various strategies that promote mastery of number facts and relate them to the properties of multiplication | Grade 5 |

Quebec | E5.A.ON.A.6c | Builds a repertoire of memorized multiplication and division facts: Masters all multiplication facts (0 x 0 to 10 x 10) and the corresponding division facts | Grade 5 |

Quebec | E5.A.ON.A.7b | Develops 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 number | Grade 5 |

Quebec | E5.A.ON.A.7c | Develops 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 place | Grade 5 |

Quebec | E5.A.ON.A.9 | Decomposes a number into prime factors | Grade 5 |

Quebec | E5.A.ON.A.10 | Calculates the power of a number | Grade 5 |

Quebec | E5.A.ON.A.12 | Performs a series of operations in accordance with the order of operations | Grade 5 |

Quebec | E5.A.ON.A.8 | Grade 5 | |

Quebec | E5.G.C.8 | Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral triangles | Grade 5 |

Quebec | E5.G.C.9 | Classifies triangles | Grade 5 |

Quebec | E5.G.A.4b | Locates points in a Cartesian plane in all four quadrants | Grade 5 |

Quebec | E5.G.A.3 | Locates objects on an axis (based on the types of numbers studied) | Grade 5 |

Quebec | E5.M.G.2 | Establishes relationships between units of measure | Grade 5 |

Quebec | E5.A.UWN.C.1 | Represents decimals in a variety of ways (using objects or drawings) | Grade 5 |

Quebec | E5.A.UWN.C.2 | Identifies equivalent representations (using objects or drawings) | Grade 5 |

Quebec | E5.A.UWN.C.5 | Composes and decomposes a decimal written in decimal notation | Grade 5 |

Quebec | E5.A.UWN.C.6 | Recognizes equivalent expressions | Grade 5 |

Quebec | E5.A.UWN.C.7a | Locates decimals on a number line between two consecutive natural numbers | Grade 5 |

Quebec | E5.A.UWN.C.7b | Locates decimals on a number line between two decimals | Grade 5 |

Quebec | E5.A.MON.B.1a | Grade 5 | |

Quebec | E5.A.MON.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) | Grade 5 |

Quebec | E5.A.UWN.B.2 | Represents a fraction in a variety of ways, based on a whole or a collection of objects | Grade 5 |

Quebec | E5.A.UWN.B.8 | Verifies whether two fractions are equivalent | Grade 5 |

Quebec | E5.A.UWN.B.10 | Orders fractions with the same denominator | Grade 5 |

Quebec | E5.A.UWN.B.12 | Orders fractions with the same numerator | Grade 5 |

Quebec | E5.A.UWN.B.13 | Locates fractions on a number line | Grade 5 |

Quebec | E5.A.UWN.D.3 | Locates integers on a number line or Cartesian plane | Grade 5 |

Quebec | E5.A.UWN.D.4 | Compares integers | Grade 5 |

Quebec | E5.A.UWN.D.5 | Arranges integers in increasing or decreasing order | Grade 5 |

Quebec | E5.A.UWN.A.14 | Represents the power of a natural number | Grade 5 |

Quebec | E5.A.MON.A.5c | Determines 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 subtraction | Grade 5 |

Quebec | E5.A.MON.A.6 | Translates a situation using a series of operations in accordance with the order of operations | Grade 5 |

Quebec | E6.M.D.2 | Estimates and determines the degree measurement of angles | Grade 6 |

Quebec | E6.S.1 | Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.) | Grade 6 |

Quebec | E6.A.ON.C.1b | Approximates the result of a multiplication or division | Grade 6 |

Quebec | E6.A.ON.C.2b | Develops processes for mental computation: performs operations involving decimals (multiplication, division by a natural number) | Grade 6 |

Quebec | E6.A.ON.C.3b | Develops processes for written computation: multiplies decimals whose product does not go beyond the second decimal place | Grade 6 |

Quebec | E6.A.ON.C.3c | Develops processes for written computation: divides a decimal by a natural number less than 11 | Grade 6 |

Quebec | E6.A.ON.B.1 | Generates a set of equivalent fractions | Grade 6 |

Quebec | E6.A.ON.B.3 | Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s) | Grade 6 |

Quebec | E6.A.ON.B.4 | Multiplies a natural number by a fraction | Grade 6 |

Quebec | E6.A.ON.A.3b | Grade 6 | |

Quebec | E6.A.ON.A.7b | Develops 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 number | Grade 6 |

Quebec | E6.A.ON.A.7c | Develops 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 place | Grade 6 |

Quebec | E6.A.ON.A.9 | Decomposes a number into prime factors | Grade 6 |

Quebec | E6.A.ON.A.10 | Calculates the power of a number | Grade 6 |

Quebec | E6.A.ON.A.12 | Performs a series of operations in accordance with the order of operations | Grade 6 |

Quebec | E6.G.C.8 | Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral triangles | Grade 6 |

Quebec | E6.G.C.9 | Classifies triangles | Grade 6 |

Quebec | E6.G.A.4b | Locates points in a Cartesian plane in all four quadrants | Grade 6 |

Quebec | E6.G.A.3 | Locates objects on an axis (based on the types of numbers studied) | Grade 6 |

Quebec | E6.M.G.2 | Establishes relationships between units of measure | Grade 6 |

Quebec | E6.A.UWN.C.1 | Represents decimals in a variety of ways (using objects or drawings) | Grade 6 |

Quebec | E6.A.UWN.C.2 | Identifies equivalent representations (using objects or drawings) | Grade 6 |

Quebec | E6.A.UWN.C.5 | Composes and decomposes a decimal written in decimal notation | Grade 6 |

Quebec | E6.A.UWN.C.6 | Recognizes equivalent expressions | Grade 6 |

Quebec | E6.A.UWN.C.7a | Locates decimals on a number line between two consecutive natural numbers | Grade 6 |

Quebec | E6.A.UWN.C.7b | Locates decimals on a number line between two decimals | Grade 6 |

Quebec | E6.A.MON.B.1a | Grade 6 | |

Quebec | E6.A.MON.B.2 | Grade 6 | |

Quebec | E6.A.UWN.B.2 | Represents a fraction in a variety of ways, based on a whole or a collection of objects | Grade 6 |

Quebec | E6.A.UWN.B.8 | Verifies whether two fractions are equivalent | Grade 6 |

Quebec | E6.A.UWN.B.12 | Orders fractions with the same numerator | Grade 6 |

Quebec | E6.A.UWN.B.13 | Locates fractions on a number line | Grade 6 |

Quebec | E6.A.UWN.D.3 | Locates integers on a number line or Cartesian plane | Grade 6 |

Quebec | E6.A.UWN.D.4 | Compares integers | Grade 6 |

Quebec | E6.A.UWN.D.5 | Arranges integers in increasing or decreasing order | Grade 6 |

Quebec | E6.A.UWN.A.14 | Represents the power of a natural number | Grade 6 |

Quebec | E6.A.MON.A.5c | Determines 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 subtraction | Grade 6 |

Quebec | E6.A.MON.A.6 | Translates a situation using a series of operations in accordance with the order of operations | Grade 6 |

Quebec | S1.AG.ASAG.A.2 | Locates points in a Cartesian plane, based on the types of numbers studied (x- and y-coordinates of a point) | Grade 7 |

Quebec | S1.A.ORN.7a | Computes, 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 signs | Grade 7 |

Quebec | S1.A.ORN.6 | Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operations | Grade 7 |

Quebec | S1.A.ORN.7b | Computes, 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 diagrams | Grade 7 |

Quebec | S2.A.ORN.5 | Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operations | Grade 7 |

Quebec | S2.A.ORN.7b | Computes, 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 diagrams | Grade 7 |

Quebec | S1.A.ORN.8 | Computes, 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 |

Quebec | S1.G.SSAS.A.5 | Recognizes and names regular convex polygons | Grade 7 |

Quebec | S1.G.SSAS.D.3 | Recognizes the geometric transformation(s) linking a figure and its image | Grade 7 |

Quebec | S1.G.SSAS.C.3 | Identifies congruence (translation, rotation and reflection) between two figures | Grade 7 |

Quebec | S1.G.SSAS.C.4 | Constructs the image of a figure under a translation, rotation and reflection | Grade 7 |

Quebec | S1.G.SSAS.C.5 | Recognizes dilatation with a positive scale factor | Grade 7 |

Quebec | S1.G.SSAS.C.6 | Constructs the image of a figure under a dilatation with a positive scale factor | Grade 7 |

Quebec | S1.A.UAPS.1a | Calculates a certain percentage of a number | Grade 7 |

Quebec | S1.A.UAPS.1b | Calculates the value corresponding to 100 per cent | Grade 7 |

Quebec | S1.A.UAPS.2 | Recognizes ratios and rates | Grade 7 |

Quebec | S1.A.UAPS.3 | Interprets ratios and rates | Grade 7 |

Quebec | S1.A.UAPS.4 | Describes the effect of changing a term in a ratio or rate | Grade 7 |

Quebec | S1.A.UAPS.8 | Represents or interprets a proportional situation using a graph, a table of values or a proportion | Grade 7 |

Quebec | S1.A.UAPS.9 | Solves 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 |

Quebec | S1.AL.UMAE.B.1 | Calculates the numeric value of an algebraic expression | Grade 7 |

Quebec | S1.AL.UMAE.B.2 | Performs 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 monomials | Grade 7 |

Quebec | S1.AL.UMAE.B.3 | Factors out the common factor in numerical expressions (distributive property of multiplication over addition or subtraction) | Grade 7 |

Quebec | S1.AL.UMAE.C.9 | Uses 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 |

Quebec | S1.A.UORN.6 | Translates (mathematizes) a situation using a sequence of operations (no more than two levels of parentheses) | Grade 7 |

Quebec | S1.A.URN.10 | Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points) | Grade 7 |

Quebec | S1.A.URN.11c | Represents and writes numbers in exponential notation (integral exponent) | Grade 7 |

Quebec | S1.A.URN.15a | Compares and arranges in order numbers written in fractional or decimal notation | Grade 7 |

Quebec | S1.A.URN.15b | Compares and arranges in order numbers expressed in different ways (fractional, decimal, exponential [integral exponent], percentage, square root, scientific notation) | Grade 7 |

Quebec | S2.A.ORN.7a | Computes, 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 signs | Grade 8 |

Quebec | S2.A.ORN.6 | Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operations | Grade 8 |

Quebec | S2.G.SSAS.C.4 | Constructs the image of a figure under a translation, rotation and reflection | Grade 8 |

Quebec | S2.A.UAPS.1b | Calculates the value corresponding to 100 per cent | Grade 8 |

Quebec | S2.AL.UMAE.C.9 | Uses 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 |

Quebec | S2.AL.UMAE.D.4b | Solves a system involving various functional models (mostly graphical solutions) | Grade 8 |

Quebec | S2.AL.UMAE.D.2a | Translates a situation algebraically or graphically using a system of equations | Grade 8 |

Quebec | S2.AL.UMAE.B.1 | Calculates the numeric value of an algebraic expression | Grade 8 |

Quebec | S2.AL.UMAE.B.2 | Performs 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 monomials | Grade 8 |

Quebec | S2.AL.UMAE.B.6b | Factors polynomials by factoring by grouping (polynomials including decomposable second-degree trinomials) | Grade 8 |

Quebec | S2.AL.UMAE.B.6c | Factors polynomials by completing the square (factoring and switching from one type of notation to another) | Grade 8 |

Quebec | S2.A.URN.10 | Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points) | Grade 8 |

Quebec | S2.G.SSAS.C.3 | Identifies congruence (translation, rotation and reflection) between two figures | Grade 8 |

Quebec | S2.G.SSAS.C.5 | Recognizes dilatation with a positive scale factor | Grade 8 |

Quebec | S2.G.SSAS.C.6 | Constructs the image of a figure under a dilatation with a positive scale factor | Grade 8 |

Quebec | S2.G.SSAS.D.3 | Recognizes the geometric transformation(s) linking a figure and its image | Grade 8 |