Quebec · Grade 1

Mathematics, Grade 1

Quebec’s Grade 1 math course, from Arithmetic to Probability.

Units
5
Lessons
61
Skills
61
Provincial exam
None
Official curriculum
quebec.ca

Unit by unit

Every skill in the course, numbered by unit.

Unit 1 · 29 skills

Arithmetic

Counts or recites counting rhymes involving natural numbers

  • Counts or recites counting rhymes involving natural numbers

    I can count or recite counting rhymes involving natural numbers.

Counts collections (using objects or drawings)

Counts collections (using objects or drawings) — counts a collectio…

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

    I can count a collection by grouping or regrouping.

Reads and writes any natural number

Represents natural numbers in different ways or associates a number…

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

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

Composes and decomposes a natural number in a variety of ways

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

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

Identifies equivalent expressions

Compares natural numbers

Arranges natural numbers in increasing or decreasing order

  • Arranges natural numbers in increasing or decreasing order

    I can put natural numbers in increasing or decreasing order.

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

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

    I can describe number patterns in my own words, using math words like even and odd.

Locates natural numbers using different visual aids

Identifies properties of natural numbers

Classifies natural numbers in various ways, based on their properti…

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

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

Approximates a collection, using objects or drawings

Identifies fractions related to everyday items (using objects or dr…

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

    I can spot fractions related to everyday items (using objects or drawings).

Represents a fraction in a variety of ways, based on a whole or a c…

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

    I can show a fraction in a variety of ways, based on a whole or a collection of objects.

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

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

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

Uses objects, diagrams or equations to represent a situation and co…

  • Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of addition and subtraction)

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

Uses objects, diagrams or equations to represent a situation and co…

  • 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)

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

Establishes equality relations between numerical expressions

  • Establishes equality relations between numerical expressions

    I can show equality relations between numerical expressions.

Determines numerical equivalencies using operations and the commuta…

  • Determines numerical equivalencies using operations and the commutative property

    I can find numerical equivalencies using addition and subtraction and the commutative property of addition.

Approximates the result of an addition or subtraction

  • Approximates the result of an addition or subtraction

    I can estimate the result of an addition or subtraction before I work it out exactly.

Builds a repertoire of memorized addition and subtraction facts

  • Builds a repertoire of memorized addition and subtraction facts

    I can build a memory of my addition facts and the subtraction facts that go with them.

Develops processes for mental computation

Develops processes for written computation (addition and subtractio…

  • Develops processes for written computation (addition and subtraction)

    I can build up processes for written computation (addition and subtraction).

Determines the missing term in an equation (relationships between o…

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

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

Using his/her own words and mathematical language that is at an app…

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

    I can describe number patterns and operations in my own words and with math language that fits my grade.

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

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

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

Uses a calculator: becomes familiar with its basic functions

  • Uses a calculator: becomes familiar with its basic functions

    I can use a calculator and its basic functions (+, –, =, and the number keys).

The official wording · 29 outcomes
1.1
Counts or recites counting rhymes involving natural numbers
1.2
Counts collections (using objects or drawings)
1.3
counts a collection by grouping or regrouping
1.4
Reads and writes any natural number
1.5
Represents natural numbers in different ways or associates a number with a set of objects or drawings
1.6
Composes and decomposes a natural number in a variety of ways (e.g. 123 = 100 + 23 123 = 100 + 20 + 3 123 = 50 + 50 + 20 + 3 123 = 2 × 50 + 30 − 7 123 = 2 × 60 + 3)
1.7
Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12, 52 = 104 ÷ 2)
1.8
Compares natural numbers
1.9
Arranges natural numbers in increasing or decreasing order
1.10
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)
1.11
Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line)
1.12
Identifies properties of natural numbers
1.13
Classifies natural numbers in various ways, based on their properties (e.g. even numbers, composite numbers)
1.14
Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)
1.15
Identifies fractions related to everyday items (using objects or drawings)
1.16
Represents a fraction in a variety of ways, based on a whole or a collection of objects
1.17
Determines the operation(s) to perform in a given situation
1.18
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)
1.19
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)
1.20
Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 – 1)
1.21
Determines numerical equivalencies using relationships between
1.22
Approximates the result of
1.23
Builds a repertoire of memorized addition and subtraction facts1
1.24
Develops processes for mental computation
1.25
Develops processes for written computation (addition and subtraction)
1.26
Determines the missing term in an equation (relationships between operations): a + b = □, a + □ = c, □ + b = c, a – b = □, a – □ = c, □ – b = c
1.27
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes
1.28
Adds new terms to a series when the first three terms or more are given
1.29
Uses a calculator and

Key ideas

  1. The counting words always come in the same order: 1, 2, 3, 4, 5. A counting rhyme helps us remember that order.

  2. Touch or move each object as you say one number. Each object gets exactly one number.

  3. A big collection is easier to count in groups of 10: count the groups, then the ones left over.

  4. We read a number by its tens and then its ones: 47 is "forty-seven", 4 tens and 7 ones.

  5. A number can be shown many ways: 7 fingers, 7 dots, 7 cubes, or 5 and 2 on a ten-frame.

Watch out for

  • Losing the count sequence and skipping a number while reciting.
  • Skipping or double-counting an object when counting a group.
  • Counting by ones instead of using groups of ten to count faster.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 2 · 13 skills

Geometry

Gets his/her bearings and locates objects in space (spatial relatio…

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

    I can find my way and tell where objects are in space.

Locates objects in a plane

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

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

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

Locates points in a Cartesian plane

Compares objects or parts of objects in the environment with solids

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

    I can compare 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…

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

    I can identify and show the different faces of a prism or a pyramid.

Compares and constructs figures made with closed curved lines or cl…

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

    I can compare and build figures made with closed curved lines or closed straight lines.

Identifies plane figures (square, rectangle, triangle, rhombus and…

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

    I can spot plane figures (square, rectangle, triangle, rhombus and circle).

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

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

    I can describe plane figures (square, rectangle, triangle and rhombus).

Identifies congruent figures

Observes and produces patterns using geometric figures

The official wording · 13 outcomes
2.1
Gets his/her bearings and locates objects in space (spatial relationships)
2.2
Locates objects in a plane
2.3
Locates objects on an axis (based on the types of numbers studied)
2.4
Locates points in a Cartesian plane
2.5
Compares objects or parts of objects in the environment with solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
2.6
Compares and constructs solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
2.7
Identifies the main solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
2.8
Solid, base of a solid, face, flat surface, curved surface Sphere, cone, cube, cylinder, prism, pyramid Identifies and represents the different faces of a prism or pyramid
2.9
Compares and constructs figures made with closed curved lines or closed straight lines
2.10
Identifies plane figures (square, rectangle, triangle, rhombus and circle)
2.11
Describes plane figures (square, rectangle, triangle and rhombus)
2.12
Identifies congruent figures
2.13
Observes and produces patterns using geometric figures

Key ideas

  1. Position words tell where something is compared to something else: on, under, in front of, behind, between, beside.

  2. A grid has columns going up and rows going across; a square is named by its column and its row.

  3. An axis is a line with a starting point marked 0 and equal steps.

  4. A Cartesian plane has two number lines: one goes across and one goes up, and both start at 0.

  5. Many things around us have the shape of a solid: a ball is a sphere, a can is a cylinder, an ice cream cone is a cone.

Watch out for

  • Confusing left and right, or over and under, when describing where something is.
  • Reading a position as (up, across) instead of (across, up).
  • Miscounting the marks on the axis by starting at 1 instead of 0.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 3 · 7 skills

Measurement

Compares lengths

Constructs rulers

Estimates and measures the dimensions of an object using unconventi…

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

    I can estimate and measure the dimensions of an object using unconventional units.

Estimates and measures the dimensions of an object using convention…

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

    I can estimate and measure the dimensions of an object using conventional units.

Estimates and measures time using conventional units

Establishes relationships between units of measure for time

  • Establishes relationships between units of measure for time

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

Estimates and measures temperature using conventional units

  • Estimates and measures temperature using conventional units

    I can estimate and measure temperature using conventional units.

The official wording · 7 outcomes
3.1
Compares lengths
3.2
Constructs rulers
3.3
Estimates and measures the dimensions of an object using unconventional units
3.4
Estimates and measures the dimensions of an object using conventional units
3.5
Estimates and measures time using conventional units
3.6
Establishes relationships between units of measure
3.7
Estimates and measures temperature using conventional units

Key ideas

  1. Length is how long something is, from one end to the other.

  2. A ruler is made of equal units placed end to end and numbered.

  3. We can measure with any same-size unit: paper clips, cubes, hand spans or steps.

  4. Everybody uses the same units: the centimetre is about the width of a finger, the decimetre about the width of a hand, and the metre about one big step.

  5. We measure time in seconds, minutes, hours and days: a second is very short, and a day is very long.

Watch out for

  • Comparing two lengths without lining up their starting ends.
  • Spacing the marks on the ruler unevenly so the units are different sizes.
  • Leaving gaps or overlaps when lining up units to measure.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 4 · 4 skills

Statistics

Formulates questions for a survey (based on age-appropriate topics,…

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

    I can make up questions for a survey on a topic that my classmates can answer.

Collects, describes and organizes data (classifies or categorizes)…

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

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

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

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

    I can interpret data from a table, a bar graph and a pictograph.

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

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

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

The official wording · 4 outcomes
4.1
Formulates questions for a survey (based on age-appropriate topics, students’ language level, etc.)
4.2
Collects, describes and organizes data (classifies or categorizes) using tables
4.3
Interprets data using
4.4
Displays data using

Key ideas

  1. A survey asks many people the same question to find out what they think or like.

  2. Collecting data means writing down each answer, often with a tally mark.

  3. A table, a bar graph and a pictograph can show the same data.

  4. To make a table, write each category and its number.

  5. A good survey question is short and gives clear answer choices: "Which fruit do you like best: apple, banana or grape?"

Watch out for

  • Writing a survey question that only allows one obvious answer.
  • Putting the same item in two categories when sorting data.
  • Reading a bar graph off by one because the scale skips numbers.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 5 · 8 skills

Probability

When applicable, recognizes variability in possible outcomes (uncer…

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

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

When applicable, recognizes equiprobability

  • When applicable, recognizes equiprobability

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

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

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

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

Experiments with activities involving chance, using various objects

  • Experiments with activities involving chance, using various objects

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

Predicts qualitatively an outcome or several events using a probabi…

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

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

Distinguishes between prediction and outcome

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

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

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

Enumerates the possible outcomes of a simple random experiment

  • Enumerates the possible outcomes of a simple random experiment

    I can list the possible outcomes of a simple random experiment.

The official wording · 8 outcomes
5.1
When applicable, recognizes variability in possible outcomes (uncertainty)
5.2
When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])
5.3
When applicable, becomes aware of the independence of events in an experiment
5.4
Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)
5.5
Predicts qualitatively an outcome or several events using a probability line, among other things
5.6
Distinguishes between prediction and outcome
5.7
Uses tables or diagrams to collect and display the outcomes of an experiment
5.8
Enumerates possible outcomes of

Key ideas

  1. In a chance game, we cannot know the result before it happens.

  2. Results are equally likely when nothing makes one come up more than another.

  3. A coin or a die does not remember what happened before.

  4. A chance activity is one where we cannot know the result ahead of time, like rolling a die or spinning a spinner.

  5. A result is certain if it will surely happen, possible if it might happen, and impossible if it cannot happen.

Watch out for

  • Thinking a likely outcome is certain to happen every time.
  • Thinking every outcome is equally likely even when the amounts differ.
  • Thinking an earlier result changes what is likely on the next try.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Number Blitz: numbered bubbles

Number Blitz

Can you keep up?

It starts easy. It doesn’t stay that way.

Free, no account needed

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  • —Top level
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Grade
Choose your mode

How to play
  • Tap the floating bubbles in the right order
  • The next number to tap is shown at the top
  • Collect heart bubbles for extra lives
  • A wrong tap costs a life. Lose them all and the game ends.
  • 5 right taps in a row add 3 seconds to the timer!

The official curriculum

This page follows Quebec’s own curriculum for Mathematics, Grade 1.

Study it in MapleMind

MapleMind teaches Mathematics, Grade 1 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.

Mathematics, Secondary 3 in the MapleMind app on a tablet: its units, Unit 1 open, and the skills done so far with their starsMathematics, Secondary 3 in the MapleMind app on a phone: its units, Unit 1 open, and the skills done so far with their stars
Pictured: Mathematics, Secondary 3, another Quebec course, partway through Unit 1.

Practise it

Course Companion

Your year in one workbook

A fun way to keep Mathematics, Grade 1 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.

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See the Course Companion

Questions about Mathematics, Grade 1

What is Mathematics, Grade 1?

Quebec’s Grade 1 math course: 5 units and 61 skills, from Arithmetic to Probability.

What units are in Mathematics, Grade 1?

1. Arithmetic, 2. Geometry, 3. Measurement, 4. Statistics and 5. Probability.

Is there a provincial exam for Mathematics, Grade 1?

No. Quebec gives no provincial exam for Mathematics, Grade 1.

What comes after Mathematics, Grade 1?

Mathematics, Grade 2.

Can MapleMind help with Mathematics, Grade 1?

Yes. MapleMind teaches every skill of Mathematics, Grade 1, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.

Get ready for Mathematics, Grade 1

Practise every skill of Mathematics, Grade 1 in MapleMind, free with daily limits.