Gizmos for Quebec - Mathematics: Elementary Cycle 3 Year 2 (Progression of Learning adopted 2009)

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

A: : Arithmetic

A.U: : Understanding and writing numbers

A.U.A: : Natural numbers less than 1 000 000

A.U.A.4: : Represents natural numbers in different ways or associates a number with a set of objects or drawings emphasis on apparent, accessible groupings using objects, drawings or unstructured materials (e.g. tokens, nesting cubes, groups of ten objects placed inside a bag and ten of these bags placed inside another container)

A.U.A.4.c: : emphasis on place value in non-apparent, non-accessible groupings, using materials for which groupings are symbolic (e.g. abacus, money)

A.U.A.9: : Describes number patterns, using his/her own words and appropriate mathematical vocabulary (e.g. even numbers, odd numbers, square numbers, triangular numbers, prime numbers, composite numbers)

A.U.A.11: : Identifies properties of natural numbers

A.U.A.11.b: : square, prime or composite numbers

A.U.B: : Fractions (using objects or drawings)...

A.U.B.2: : Represents a fraction in a variety of ways, based on a whole or a collection of objects

A.U.B.3: : Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa

A.U.B.4: : Identifies the different meanings of fractions (sharing, division, ratio)

A.U.B.5: : Distinguishes a numerator from a denominator

A.U.B.6: : Reads and writes a fraction

A.U.B.7: : Compares a fraction to 0, ½ or 1

A.U.B.8: : Verifies whether two fractions are equivalent

A.U.B.9: : Matches a decimal or percentage to a fraction

A.U.B.10: : Orders fractions with the same denominator

A.U.B.11: : Orders fractions where one denominator is a multiple of the other(s)

A.U.B.12: : Orders fractions with the same numerator

A.U.B.13: : Locates fractions on a number line

A.U.C: : Decimals up to thousandths

A.U.C.1: : Represents decimals in a variety of ways (using objects or drawings)

A.U.C.2: : Identifies equivalent representations (using objects or drawings)

A.U.C.7: : Locates decimals on a number line

A.U.C.7.b: : between two decimals

A.U.C.8: : Compares two decimals

A.U.C.9: : Approximates (e.g. estimates, rounds to a given value, truncates decimal places)

A.U.C.10: : Arranges decimals in increasing or decreasing order

A.U.C.11: : Matches

A.U.C.11.a: : a fraction to its decimal

A.U.C.11.b: : a fraction or percentage to its decimal

A.U.D: : Integers

A.U.D.1: : Represents integers in a variety of ways (using objects or drawings) (e.g. tokens in two different colours, number line, thermometer, football field, elevator, hot air balloon)

A.U.D.2: : Reads and writes integers

A.U.D.3: : Locates integers on a number line or Cartesian plane

A.U.D.4: : Compares integers

A.U.D.5: : Arranges integers in increasing or decreasing order

A.M: : Meaning of operations involving numbers

A.M.A: : Natural numbers less than 1 000 000

A.M.A.1: : Determines the operation(s) to perform in a given situation

A.M.A.3: : Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of multiplication and division)

A.M.A.3.b: : rectangular arrays, repeated addition, Cartesian product, area, volume, repeated subtraction, sharing, number of times x goes into y, and comparisons (using objects, diagrams or equations)

A.M.A.5: : Determines numerical equivalencies using relationships between

A.M.A.5.c: : operations (the four operations), the commutative property of addition and multiplication, the associative property and the distributive property of multiplication over addition or subtraction

A.M.B: : Decimals up to thousandths

A.M.B.1: : Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of addition and subtraction)

A.M.B.1.a: : transformation (adding, taking away), uniting, comparing

A.M.B.2: : Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of multiplication and division: rectangular arrays, Cartesian product, area, volume, sharing, number of times x goes into y, and comparisons)

A.M.B.3: : Determines numerical equivalencies

A.M.B.3.b: : relationships between operations (the four operations), the commutative property of addition and multiplication, the associative property and the distributive property of multiplication over addition or subtraction

A.M.C: : Fractions

A.M.C.1: : Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of addition, subtraction and multiplication by a natural number)

A.O: : Operations involving numbers

A.O.A: : Natural numbers

A.O.A.1: : Approximates the result of

A.O.A.1.b: : any of the four operations involving natural numbers

A.O.A.3: : Develops processes for mental computation

A.O.A.3.b: : Uses his/her own processes to determine the product or quotient of two natural numbers

A.O.A.8: : Determines the missing term in an equation (relationships between operations): a × b = __, a × __ = c, __ × b = c, a ÷ b = __, a ÷ __ = c,__ ÷ b = c

A.O.A.9: : Decomposes a number into prime factors

A.O.A.11: : Determines the divisibility of a number by 2, 3, 4, 5, 6, 8, 9, 10

A.O.A.12: : Performs a series of operations in accordance with the order of operations

A.O.A.13: : Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes

A.O.A.13.a: : non-numerical patterns (e.g. series of colours, shapes, sounds, gestures)

A.O.A.13.b: : numerical patterns (e.g. number rhymes, tables and charts)

A.O.A.13.c: : series of numbers and family of operations

A.O.B: : Fractions (using objects or diagrams)

A.O.B.1: : Generates a set of equivalent fractions

A.O.B.2: : Reduces a fraction to its simplest form (lowest terms)

A.O.B.3: : Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s)

A.O.B.4: : Multiplies a natural number by a fraction

A.O.C: : Decimals

A.O.C.1: : Approximates the result of

A.O.C.1.a: : an addition or a subtraction

A.O.C.1.b: : a multiplication or division

A.O.C.2: : Develops processes for mental computation

A.O.C.2.a: : adds and subtracts decimals

A.O.C.3: : Develops processes for written computation

A.O.C.3.a: : adds and subtracts decimals whose result does not go beyond the second decimal place

A.O.C.3.b: : multiplies decimals whose product does not go beyond the second decimal place

A.O.D: : Using Numbers

A.O.D.1: : Expresses a decimal as a fraction, and vice versa

A.O.D.2: : Expresses a decimal as a percentage, and vice versa

A.O.D.3: : Expresses a fraction as a percentage, and vice versa

A.O.D.4: : Chooses an appropriate number form for a given context

G: : Geometry

G.A: : Space

G.A.4: : Locates points in a Cartesian plane

G.A.4.b: : in all four quadrants

G.B: : Solids

G.B.4: : Identifies and represents the different faces of a prism or pyramid

G.B.6: : Classifies prisms and pyramids

G.B.7: : Constructs a net of a prism or pyramid

G.C: : Plane figures

G.C.2: : Identifies plane figures (square, rectangle, triangle, rhombus and circle)

G.C.3: : Describes plane figures (square, rectangle, triangle and rhombus)

G.C.5: : Identifies and constructs parallel lines and perpendicular lines

G.C.8: : Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral triangles

G.C.9: : Classifies triangles

M: : Measurement

M.A: : Lengths

M.A.6: : Calculates the perimeter of plane figures

M.D: : Angles

M.D.2: : Estimates and determines the degree measurement of angles

S: : Statistics

S.1: : Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)

S.2: : Collects, describes and organizes data (classifies or categorizes) using tables

S.3: : Interprets data using

S.3.c: : a table, a bar graph, a pictograph, a broken-line graph and a circle graph

S.4: : Displays data using

S.4.b: : a table, a bar graph, a pictograph and a broken-line graph

S.5: : Understands and calculates the arithmetic mean

P: : Probability

P.1: : When applicable, recognizes variability in possible outcomes (uncertainty)

P.2: : When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])

P.3: : When applicable, becomes aware of the independence of events in an experiment

P.4: : Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)

P.5: : Predicts qualitatively an outcome or several events using a probability line, among other things

P.5.a: : certain, possible or impossible outcome

P.5.b: : more likely, just as likely, less likely event

P.6: : Distinguishes between prediction and outcome

P.7: : Uses tables or diagrams to collect and display the outcomes of an experiment

P.8: : Enumerates possible outcomes of

P.8.b: : a random experiment, using a table, a tree diagram

P.9: : Compares qualitatively the theoretical or experimental probability of events

P.10: : Recognizes that a probability is always between 0 and 1

P.11: : Uses fractions, decimals or percentages to quantify a probability

P.12: : Compares the outcomes of a random experiment with known theoretical probabilities

P.13: : Simulates random experiments with or without the use of technology

Correlation last revised: 9/16/2020

Quebec - Mathematics: Elementary Cycle 3 Year 2

Progression of Learning | Adopted: 2009

A: : Arithmetic

G: : Geometry

M: : Measurement

S: : Statistics

P: : Probability