Canada · Ontario Curriculum Expectations
Grade 2 Mathematics
Students explore number patterns and place value with two- and three-digit numbers up to 200, learning to read, write, and represent numbers using hundreds, tens, and ones.

01Number Sense and Place Value Patterns
Students explore the power of the base ten system and learn to decompose numbers up to 1000.
Students will identify the value of digits in two- and three-digit numbers using base ten blocks and place value charts.
Students will extend their understanding of place value to include hundreds, representing numbers up to 1000.
Students will compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols.
Students will order a set of numbers and identify patterns in number sequences, including skip counting.
Students will identify even and odd numbers up to 20 and explain their properties.
Students will use arrays to represent repeated addition and build a foundation for multiplication.
Students will use number lines to visualize number sequences, addition, and subtraction.
Students represent three-digit numbers up to 200 in standard form, expanded form, and word form, connecting each representation to the value of the hundreds, tens, and ones digits.
Students will mentally add or subtract 10 or 100 to a given number 100-900.
Students will apply their understanding of place value to solve various number puzzles and word problems.

02Additive Thinking and Mental Strategies
Focusing on the relationship between addition and subtraction and the development of flexible computation strategies.
Students will practice mental math strategies like making ten and using doubles to solve addition problems within 20.
Students will explore the inverse relationship between addition and subtraction using fact families.
Students will add two-digit numbers using strategies based on place value and properties of operations, without regrouping.
Students will add two-digit numbers with regrouping, understanding when and why to regroup tens.
Students will subtract two-digit numbers using strategies based on place value, without regrouping.
Students will subtract two-digit numbers with regrouping, understanding when and why to regroup from the tens place.
Students will add and subtract numbers within 1000 using concrete models or drawings and strategies based on place value.
Students will solve one-step addition and subtraction word problems within 100.
Students will solve two-step addition and subtraction word problems within 100.
Students identify and compare current Canadian coins — the nickel (5¢), dime (10¢), quarter (25¢), loonie ($1 coin), and toonie ($2 coin) — and practise counting mixed coin collections and making amounts up to $2.00.
Students solve addition and subtraction word problems involving Canadian coins (nickel, dime, quarter, loonie, toonie), applying strategies for counting, combining, and making change up to $2.00.
Students will explore the commutative property of addition (order doesn't matter) through examples.

03Geometry and Spatial Reasoning
Investigating the properties of 2D shapes and 3D objects and how they fit together in space.
Students will identify and draw shapes based on their attributes (e.g., number of angles, sides, vertices).
Students will combine and break apart 2D shapes to form new shapes.
Students will partition circles and rectangles into two, three, or four equal shares, describing the shares using words like halves, thirds, and fourths.
Students will identify 3D shapes (cubes, cones, cylinders, spheres, rectangular prisms) and describe their faces, edges, and vertices.
Students will explore the 2D faces of 3D shapes and how they relate to the overall object.
Students will identify lines of symmetry in 2D shapes.
Students will find the area of a rectangle by tiling it with unit squares and counting.
Students will measure the perimeter of polygons by adding the lengths of their sides.
Students will describe the relative position of objects using terms like 'above,' 'below,' 'left,' and 'right,' and follow directions for movement.
Students will solve word problems and puzzles involving the attributes and composition of 2D and 3D shapes.

04Measurement and Data Literacy
Using standard units to quantify the world and organizing information to make decisions.
Students will measure the length of objects using appropriate tools like rulers and yardsticks, in inches, feet, centimeters, and meters.
Students will estimate lengths using units of inches, feet, centimeters, and meters and compare the lengths of two objects.
Students will solve word problems involving addition and subtraction of lengths that are expressed in the same units.
Students will tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
Students will calculate the duration of events using analog and digital clocks.
Students will collect and organize data using tally charts, picture graphs, and bar graphs.
Students will interpret data from picture graphs and bar graphs to answer questions and draw conclusions.
Students will generate measurement data by measuring lengths of several objects to the nearest whole unit, and show the data by making a line plot.
Students will compare and order objects by capacity (how much they hold) and weight (how heavy they are) using non-standard units.
Students will use data from graphs to solve one- and two-step 'how many more' and 'how many less' problems.