What Ontario grade 6 students learn in mathematics

Your child will be able to read, write, and understand numbers up to one million, using different methods like number lines or blocks. They will also learn how these large numbers are used in daily life.

Your child will be able to read and show whole numbers, including positive and negative numbers (integers), using tools like number lines that go up and down or side to side.

Your child will be able to compare and put in order different types of numbers, including whole numbers (integers), numbers with decimal points, and fractions, even when they are mixed together.

Your child will be able to read, write, compare, and put in order decimal numbers up to the thousandths place (e.g., 0.123), in different real-world situations.

Your child will learn to shorten decimal numbers to a specific place, like the nearest tenth or whole number. This includes decimals that end neatly (terminating) and those with a repeating pattern.

Your child will understand how fractions (parts of a whole) and decimal numbers (numbers with a decimal point) are related, even when they look different, up to three decimal places. They will use tools and pictures to show these connections in different situations.

Your child will be able to solve math problems using different types of numbers like whole numbers, decimals, and fractions. They will also work with ratios (comparing two numbers), rates (like speed or price per item), and percentages to solve problems that might need several steps.

Your child will learn how to divide whole numbers (like 1, 2, 3) by proper fractions (fractions where the top number is smaller than the bottom number, like 1/2 or 3/4), using different methods and tools to help them.

Your child will be able to solve math problems that involve dividing decimal numbers (numbers with a decimal point, like 3.456) by whole numbers up to 10. They will use different methods and tools to figure out the answers.

Your child will be able to solve problems using ratios (which compare two amounts, like 2 apples for every 3 oranges), including percentages and rates (like speed in kilometers per hour).

Your child will learn simple tricks, called divisibility rules, to quickly figure out if a number can be evenly divided by numbers like 2, 3, 4, 5, 6, 8, 9, or 10 without any remainder. For example, they'll know that if a number ends in a 0 or 5, it can be divided by 5.

Your child will learn to quickly figure out percentages like 10% or 25% of a number in their head, and be able to explain how they did it.

Your child will be able to solve problems using addition and subtraction with whole numbers and decimal numbers. They will also learn to estimate answers and use standard step-by-step methods (algorithms) to solve these problems.

Your child will be able to add and subtract fractions, even when the bottom numbers (denominators) are different, using tools to help them understand.

Your child will learn to break down composite numbers (numbers that can be divided by more than just 1 and themselves) into their prime factors (numbers that can only be divided by 1 and themselves), often using a drawing called a factor tree.

Your child will be able to solve problems that involve multiplying three-digit whole numbers by decimals that have one digit after the decimal point, like 3.4, using different methods.

Your child will be able to solve math problems where they divide three-digit numbers by numbers with one decimal place (like 0.5), using tools like blocks or drawings, and showing any leftover amounts correctly.

Your child will be able to multiply whole numbers by fractions (numbers like 1/2 or 3/4) using different methods and tools.

Your child will be able to recognize and explain different kinds of patterns, like ones that repeat, grow, or shrink, including patterns they see in everyday life. They will also learn to tell if a growing pattern is "linear," meaning it increases by the same amount each time.

Your child will be able to create and change patterns that repeat, grow, or shrink. They will use different ways to show these patterns, like using tables of numbers, drawing graphs, or writing algebraic expressions (a math phrase with letters and numbers) and equations (a math statement showing two things are equal) for patterns that grow in a straight line.

Your child will be able to figure out the rules for different kinds of patterns (like ones that repeat, grow, or shrink) and then use those rules to continue the pattern, guess what comes next, and find missing parts. They will also use simple algebra to find unknown numbers in patterns that grow steadily.

Your child will be able to make and explain patterns using whole numbers and decimal numbers to show how they are connected.

Your child will be able to add simple algebraic expressions (like 2x + 3x) that only have one term and use whole numbers, possibly using tools to help them.

Your child will be able to figure out the value of math problems that include letters (called algebraic expressions) and involve whole numbers and decimals like 1.2 or 3.5.

Your child will be able to solve math problems with more than one step using whole numbers, and check their answers to make sure they are correct.

Your child will be able to figure out math problems where one side is not equal to the other (called "inequalities"), using numbers up to 100 and two steps to solve them. They will also check their answers and show them on a graph.

Your child will be able to solve math problems and show their work using computer code. This includes writing efficient code (computer instructions that run quickly and use few resources) that uses "if/then" statements and other ways to control how the program runs.

Your child will be able to read and change existing computer code, including code that uses "if/then" statements (conditional statements) and other ways to control how the program runs. They will also understand how these changes affect what the program does and how well it works.

Your child will be able to tell the difference between two types of information, called "discrete data" and "continuous data," and give examples of each. Discrete data is information that can be counted, like the number of students in a class, while continuous data is information that can be measured, like a person's height.

Your child will learn to collect different kinds of information, like observations (qualitative data) and numbers (quantitative data), to answer questions about a group of people or things. They will also learn how to organize this information, sometimes by putting numbers into groups called intervals.

Your child will learn to choose the best type of graph, like a histogram (a bar graph showing how often numbers fall into certain ranges) or a broken-line graph, to show different kinds of information. They will also be able to create these graphs correctly with titles, labels, and proper scales, and explain why they chose that particular graph.

Your child will be able to create an infographic, which is like a visual report, to show information from a set of data. They will use tables, bar graphs (histograms), and line graphs to present the data and tell a story about what the data means.

Your child will learn to find the "range" (the difference between the highest and lowest numbers) and "measures of central tendency" (like the average or middle value) for different groups of data. This helps them compare two or more sets of information.

Your child will be able to look at different types of graphs, including bar graphs (histograms) and line graphs, and understand how some graphs can be misleading. They will learn to ask questions about the information, challenge their own ideas, and use what they find to make good decisions and strong arguments.

Your child will be able to use fractions, decimals, and percentages to show how likely something is to happen (this is called probability). They will also learn to place these probabilities on a number line and use them to make smart guesses and choices.

Your child will be able to figure out and compare the chances of two separate things happening, both in theory (what should happen) and through experiments (what actually happens).

Your child will be able to list the features of different four-sided shapes (quadrilaterals), including what their diagonal lines look like, and how they can be turned (rotational symmetry) or folded perfectly in half (line symmetry).

Your child will be able to build 3D objects when they are given pictures of what the object looks like from the top, front, and side.

Your child will be able to locate and understand points on a graph (called a Cartesian plane) and describe how to move a point from one spot to another.

Your child will be able to move shapes around on a grid using sliding (translation), flipping (reflection), and turning (rotation) motions, and also predict where the shape will end up after these movements.

Your child will be able to measure things like length, how much space something covers (area), how heavy something is (mass), and how much a container can hold (capacity) using metric units such as centimeters or kilograms. They will also understand how to change these measurements between smaller and larger units, for example, converting centimeters to meters.

Your child will learn to use a protractor (a tool for measuring angles) to measure and draw angles up to 360 degrees. They will also understand how angles measured clockwise (like a clock) relate to those measured counterclockwise.

Your child will be able to use the special relationships between different types of angles (like supplementary angles, which add up to 180 degrees, or complementary angles, which add up to 90 degrees) to figure out the size of unknown angles.

Your child will learn how to find the area of shapes like trapezoids, rhombuses, and kites by breaking them down into simpler shapes they already know how to measure. They will also be able to find the area of "composite polygons," which are shapes made up of several basic shapes combined.

Your child will be able to make 2D paper cutouts (called "nets") that can be folded into 3D shapes like prisms (boxes) and pyramids. This helps them understand how the flat surfaces of these shapes relate to their total outside area.

Your child will be able to find the total outside area of 3D shapes like prisms and pyramids by adding up the areas of all their flat surfaces.

Your child will be able to explain the good and bad points of different ways to pay for things, like using cash, debit cards, or credit cards.

Your child will learn about different types of money goals, like earning money or saving up for something, and understand how to take steps to reach those goals.

Your child will learn about the different things that can help or hurt their ability to reach money goals, like saving for a toy or a future purchase.

Your child will learn what an interest rate is, which is the extra money you pay when you borrow or the extra money you earn when you save. They will also understand the different kinds of interest rates and charges that banks and other money lenders might have for various accounts and loans.

Your child will learn about different ways people and groups share money and other resources, such as trading items, lending (giving something with the expectation of getting it back), borrowing (taking something with the expectation of returning it), and donating (giving something without expecting it back).