Grade One Math Curriculum

Introduction

Grade 1 is the starting point of the mathematics journey and plays an integral role in helping children to understand and befriend basic math concepts such as numbers. The beginning of this long journey lasting over a decade should be firmly established in this grade. Besides, mathematics also encourages children to develop their problem-solving skills and critical abilities. The information provided in this page are identical to the Official Grade One Math Curriculum established by the Ministry of Education.

Grade One Math Curriculum

Table of Contents

Overall and Specific Expectations

The overall expectations are divided in five main categories each of which contains several subcategories. Every subcategory lists specific expectations for grade 1 in more detail.

Numbers

A. Number Sense
Students will demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life. They will

1. Whole Numbers

      • read and represent whole numbers up to and including 50 and describe various ways they are used in everyday life.
      • compose and decompose whole numbers up to and including 50, using a variety of tools and strategies, in various contexts.
      • compare and order whole numbers up to and including 50, in various contexts.
      • estimate the number of objects in collections of up to 50 and verify their estimates by counting.

2. Fractions

      • use drawingsto represent and solve fair-share problems that involve 2 and 4 sharers, respectively, and have remainders of 1 or 2.
      • recognize that one half and two fourths of the same whole are equal, in fair-sharing contexts.
      • use drawings to compare and order unit fractions representing the individual portions that result when a whole is shared by different numbers of sharers, up to a maximum of 10.

B. Operations
Students will use knowledge of numbers and operations to solve mathematical problems encountered in everyday life. They will:

1.Properties and Relationships

      • use the properties of addition and subtraction, and the relationship between addition and subtraction, to solve problems and check calculations.

2. Math Facts

      • recall and demonstrate addition facts for numbers up to 10, and related subtraction facts.
      • Mental Math
      • recall and demonstrate addition facts for numbers up to 10, and related subtraction facts.

3. Mental Math 

      • recall and demonstrate addition facts for numbers up to 10, and related subtraction facts.

4. Addition and Subtraction

      • use objects, diagrams, and equations to represent, describe, and solve situations involving addition and subtraction of whole numbers that add up to no more than 50.

5. Multiplication and Division

      • represent and solve equal-group problems where the total number of items is no more than 10, including problems in which each group is a half, using tools and drawings.

Algebra

A. Patterns and Relationships
Students will identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts. They will

1. Patterns 

      • identify and describe the regularities in a variety of patterns, including patterns found in real-life contexts.
      • create and translate patterns using movements, sounds, objects, shapes, letters, and numbers.
      • determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in patterns.
      • create and describe patterns to illustrate relationships among whole numbers up to 50.

B. Equations and Inequalities
Students will demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts. They will:

1. Variables

      • identify quantities that can change and quantities that always remain the same in real-life contexts.

2. Equalities and Inequalities

      • determine whether given pairs of addition and subtraction expressions are equivalent or not.
      • identify and use equivalent relationships for whole numbers up to 50, in various contexts.

C. Coding
Students will solve problems and create computational representations of mathematical situations using coding concepts and skills. They will

1. Coding Skills

      • solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential events.
      • read and alter existing code, including code that involves sequential events, and describe how changes to the code affect the outcomes.

D. Mathematical Modelling
Students will apply the process of mathematical modelling to represent, analyse, make predictions, and provide insight into real-life situations.

Data

A. Data Literacy
Students will manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life. They will

1. Data Collection and Organization 

      • sort sets of data about people or things according to one attribute, and describe rules used for sorting.
      • collect data through observations, experiments, and interviews to answer questions of interestthat focus on a single piece of information; record the data using methods of their choice; and organize the data in tally tables.

2. Data Visualization

      • display sets of data, using one-to-one correspondence, in concrete graphs and pictographs with proper sources, titles, and labels.

3. Data Analysis 

      • order categories of data from greatest to least frequency for various data sets displayed in tally tables, concrete graphs, and pictographs.
      • analyse different sets of data presented in various ways, including in tally tables, concrete graphs, and pictographs, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions.

 

B. Probability
Students will describe the likelihood that events will happen and use that information to make predictions. They will

1. Probability 

      • use mathematical language, including the terms “impossible”, “possible”, and “certain”, to describe the likelihood of events happening, and use that likelihood to make predictions and informed decisions.
      • make and test predictions about the likelihood that the categories in a data set from one population will have the same frequencies in data collected from a different population of the same size.

Spatial Sense

A. Geometric and Spatial Reasoning
Students will describe and represent shape, location, and movement by applying geometric properties and spatial relationships to navigate the world around them. They will

1. Geometric Reasoning

      • sort three-dimensional objects and two-dimensional shapes according to one attribute at a time and identify the sorting rule being used.
      • construct three-dimensional objects, and identify two-dimensional shapes contained within structures and objects.
      • construct and describe two-dimensional shapes and three-dimensional objects that have matching halves.


2. Location and Movement

      • describe the relative locations of objects or people, using positional language.
      • give and follow directions for moving from one location to another.

 

B. Measurement
Students will compare, estimate, and determine measurements in various contexts. They will

1. Attributes 

      • identify measurable attributes of two-dimensional shapes and three-dimensional objects, including length, area, mass, capacity, and angle.
      • compare several everyday objects and order them according to length, area, mass, and capacity.

2. Time

      • read the date on a calendar, and use a calendar to identify days, weeks, months, holidays, and seasons.

Financial Literacy

A. Money and Finances
Students will demonstrate an understanding of the value of Canadian currency. They will

1. Money Concepts

      • identify the various Canadian coins up to 50¢ and coins and bills up to $50 and compare their values.

List of Skills

More than 210 math skills are considered in the math curriculum for grade 1. Please, use the detailed list of skills in the old LG for grade 1.

Evaluation

Objective evaluation is believed to be one of the most essential parts of teaching mathematics. In Genius Math, we use different tools and methods to evaluate the mathematical knowledge of students and their progress. Our evaluation process consists of three stages: before teaching sessions, during teaching sessions and after teaching sessions.

  1. Initial Assessment Test
    Before starting our teaching sessions, we administrate an assessment test to obtain some insights on the strengths and weaknesses of students and their previous math knowledge. This key information helps us to come up with a special plan for every single student.

  2. Standard Problems
    During teaching sessions, we use a combination of different resources providing standard problems that are designed by famous mathematicians all over the world to improve the problem-solving skills of students. Among those resources are Math Kangaroo Contests, CEMC (University of Waterloo), AMC (American Mathematics Competitions), and even IMO (International Mathematics Olympiad), the latter might be considered for those who want to tackle more challenging problems or prepare for math olympiads. We use these problems to design homework, quizzes, and tests for our students based on their grades, needs and goals. As a matter of fact, such problems can be used to unveil the depth of students’ mathematical understanding.

  3. Final Assessment Test
    When teaching sessions are over, students are asked to take another assessment test aiming to show their real progress in mathematics.

Most Common Challenging Topics

The followings are among the most common challenges students face in grade 1:

  1. Mixed operations
  2. Patterns
  3. Data analysis
  4. Symmetry
  5. Measurement
  6. Graphs

What We Can Offer

Students have different goals and expectations according to their background, knowledge, or experience. This data along with the result of assessment session help us to design a unique plan for each student. There are different kinds of helps that we offer students in Genius Math:

  1. To review and practice their class notes and handouts
  2. To be helped with their homework, quizzes, and tests
  3. To improve their math skills in general
  4. To level up (e.g., moving from B- to B+)
  5. To get A+
  6. To learn topics beyond curriculum
  7. To prepare for math competitions
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