Canada · Ontario Curriculum Expectations
Grade 1 Mathematics
This course builds a deep understanding of number relationships and spatial reasoning through hands-on exploration. Students move beyond rote memorization to develop flexible problem solving strategies using concrete materials and visual representations.

01Number Sense and Quantity
Students explore the meaning of numbers up to 100, focusing on counting patterns and the relationship between quantities.
Developing the ability to recognize small groups of objects (up to 5) without counting and using visual patterns.
Using benchmarks like five and ten to estimate and understand larger quantities.
Practicing counting forward and backward by ones, starting from any number within 120.
Exploring skip counting by 2s, 5s, and 10s to understand the structure of the hundred chart and number patterns.
Understanding that two-digit numbers are composed of tens and ones using concrete models.
Using mathematical language (greater than, less than, equal to) and symbols to describe the relationship between different magnitudes.
Placing numbers in order from least to greatest and greatest to least using a number line.
Understanding and using ordinal numbers (first, second, third, etc.) to describe position in a sequence.
Exploring the concept of halves by dividing objects and shapes into two equal parts.
Identifying and extending simple number patterns based on addition or subtraction rules.

02Operations and Algebraic Thinking
Students develop mental math strategies for addition and subtraction while exploring the concept of equality.
Moving from counting all to using the 'counting on' strategy for addition within 20.
Using the 'making ten' strategy to add numbers within 20, understanding number bonds to ten.
Developing subtraction strategies by counting back from a given number within 20.
Understanding the relationship between addition and subtraction to solve subtraction problems.
Reframing the equal sign as a symbol of balance, representing that both sides of an equation have the same value.
Solving for the unknown whole number in addition and subtraction equations within 20.
Translating real-world scenarios into addition expressions using drawings, numbers, and symbols.
Translating real-world scenarios into subtraction expressions using drawings, numbers, and symbols.
Applying addition strategies to find the sum of three whole numbers whose sum is less than or equal to 20.
Developing quick recall of addition and subtraction facts within 10 through games and practice.

03Geometry and Spatial Reasoning
Students identify, describe, and compose geometric shapes while exploring their attributes.
Recognizing and naming common two-dimensional shapes (squares, circles, triangles, rectangles, hexagons).
Distinguishing between defining attributes (e.g., number of sides, vertices) and non-defining attributes (e.g., color, size, orientation) of 2D shapes.
Recognizing and naming common three-dimensional shapes (cubes, cones, cylinders, spheres, rectangular prisms).
Distinguishing between defining attributes (e.g., faces, edges, vertices) and non-defining attributes of 3D shapes.
Combining smaller shapes to create new composite shapes (e.g., two triangles make a rectangle).
Identifying parts of a whole by decomposing shapes into smaller, simpler shapes.
Dividing circles and rectangles into two and four equal shares, and describing the shares using appropriate language.
Using precise language (e.g., above, below, beside, in front of, behind, next to) to describe the relative position of objects.
Exploring basic geometric transformations (slides, flips, turns) and how they affect the position of shapes.
Identifying and creating lines of symmetry in two-dimensional shapes.

04Measurement and Data Literacy
Students learn to measure length and time while using data to answer questions about their community.
Comparing the lengths of two objects by lining them up side-by-side.
Measuring objects using non-standard units (e.g., paper clips, blocks) and understanding the concept of unit iteration.
Comparing the lengths of two objects by using a third object as a comparison tool.
Reading analog and digital clocks to the hour and understanding the concept of 'o'clock'.
Reading analog and digital clocks to the half-hour and understanding the concept of 'half past'.
Comparing the duration of events (e.g., longer, shorter) and understanding daily cycles.
Recognizing and counting pennies, nickels, and dimes, and understanding their values.
Collecting data using tally marks to represent categories of information.
Organizing and representing data with up to three categories using picture graphs.
Asking and answering questions about the total number of data points, how many in each category, and how many more or less are in one category than another.