Mathematics, Grade 1

Unit 1: Arithmetic

Understanding numbers, their meanings, and the four operations — the PDA Arithmetic branch.

• Counts or recites counting rhymes involving natural numbers

• Counts collections (using objects or drawings)

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

• Reads and writes any natural number

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

• Composes and decomposes a natural number in a variety of ways

• Identifies equivalent expressions

• Compares natural numbers

• Arranges natural numbers in increasing or decreasing order

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

• Locates natural numbers using different visual aids

• Identifies properties of natural numbers

• Classifies natural numbers in various ways, based on their properties

• Approximates a collection, using objects or drawings

• Identifies fractions related to everyday items (using objects or drawings)

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

• Determines 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)

• 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)

• Establishes equality relations between numerical expressions

• Determines numerical equivalencies using operations and the commutative property

• Approximates the result of an addition or subtraction

• Builds a repertoire of memorized addition and subtraction facts1

• Develops processes for mental computation

• Develops processes for written computation (addition and subtraction)

• Determines the missing term in an equation (relationships between operations) — a + b = □, a + □ = c, □ + b = c, a – b = □, a – □ = c, □ – b = c

• Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes

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

• Uses a calculator: becomes familiar with its basic functions

Unit 2: Geometry

Space, plane figures and solids, and spatial sense — the PDA Geometry branch.

• Gets his/her bearings and locates objects in space (spatial relationships)

• Locates objects in a plane

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

• Locates points in a Cartesian plane

• Compares objects or parts of objects in the environment with solids

• Compares and constructs solids

• Identifies the main solids

• Identifies and represents the different faces of a prism or pyramid (base, face, flat and curved surfaces)

• Compares and constructs figures made with closed curved lines or closed straight lines

• Identifies plane figures (square, rectangle, triangle, rhombus and circle)

• Describes plane figures (square, rectangle, triangle and rhombus)

• Identifies congruent figures

• Observes and produces patterns using geometric figures

Unit 3: Measurement

Comparing and measuring length, area, volume, time, angles and more — the PDA Measurement branch.

• Compares lengths

• Constructs rulers

• Estimates and measures the dimensions of an object using unconventional units

• Estimates and measures the dimensions of an object using conventional units

• Estimates and measures time using conventional units

• Establishes relationships between units of measure for time

• Estimates and measures temperature using conventional units

Unit 4: Statistics

Collecting, organizing and reading data — the PDA Statistics branch.

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

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

• Interprets data using a table, a bar graph and a pictograph

• Displays data using a table, a bar graph and a pictograph

Unit 5: Probability

Chance, likelihood and simple experiments — the PDA Probability branch.

• When applicable, recognizes variability in possible outcomes (uncertainty)

• When applicable, recognizes equiprobability

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

• Experiments with activities involving chance, using various objects

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

• Distinguishes between prediction and outcome

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

• Enumerates the possible outcomes of a simple random experiment