What Ontario grade 7 students learn in mathematics

Your child will be able to understand and compare very large numbers, up to one billion. They will also learn to write these numbers in different ways, including using "expanded form" (breaking a number down by the value of each digit, like 300 + 20 + 5 for 325) and "powers of ten" (like 10 to the power of 2 for 100). They will also learn how these large numbers are used in everyday life.

Your child will learn what a perfect square is (for example, 9 is a perfect square because 3 x 3 = 9) and how to find its square root (the number that was multiplied by itself, like 3 in the example).

Your child will be able to work with different kinds of numbers, including fractions and decimals up to three decimal places, and understand how to put them in order from smallest to largest, even when they are positive or negative. They will also be able to show these numbers in different ways and understand what they mean in everyday situations.

Your child will understand how to use equivalent fractions (fractions that look different but have the same value, like 1/2 and 2/4) to make fractions simpler in different situations.

Your child will be able to find fractions and decimal numbers that fall between any two given numbers.

Your child will be able to shorten decimal numbers to a specific place value, like the nearest tenth (one digit after the decimal), hundredth (two digits after the decimal), or a whole number, depending on what the problem asks for.

Your child will be able to change numbers between their fraction, decimal, and percentage forms, and understand when to use each form in everyday situations.

Your child will be able to solve math problems using whole numbers, decimals, fractions, ratios (comparing two numbers), rates (comparing two different types of measurements), and percentages. They will understand how to use the order of operations (the correct sequence for solving a math problem) and how different math operations relate to each other, even when a problem requires several steps.

Your child will be able to tell the difference between situations where things change in a steady, related way (proportional) and those where they don't. They will also use this understanding to solve problems.

Your child will be able to remember and use common percentages, fractions, and decimals, and understand how they are equal to each other (like knowing that 50% is the same as 1/2 or 0.5).

Your child will be able to quickly figure out percentages like 1%, 5%, 10%, 25%, 50%, or 100% of a number in their head, and explain how they got their answer.

Your child will be able to use objects, pictures, and math problems (equations) to understand and solve addition and subtraction problems with positive and negative whole numbers (integers).

Your child will be able to add and subtract fractions, including those with different bottom numbers (denominators), by finding common equivalent fractions. They will practice this in different real-life situations.

Your child will be able to find the largest number that divides evenly into two or more numbers (called the "greatest common factor") and the smallest number that two or more numbers can all divide into evenly (called the "lowest common multiple").

Your child will be able to understand and use a special way to write repeated multiplication, called "exponential notation" (e.g., 2 x 2 x 2 can be written as 2³).

Your child will be able to multiply and divide fractions by other fractions, using different methods and in various real-life situations.

Your child will be able to multiply and divide numbers that have decimal points (like 1.5 or 0.25) in different real-life situations.

Your child will be able to recognize and compare different kinds of patterns, like ones that repeat, grow, or shrink, including those they see in everyday life. They will also compare patterns that grow steadily (linear patterns) by looking at how fast they grow and where they start.

Your child will be able to create and change patterns that repeat, grow, or shrink, using both whole numbers and decimals. They will also learn to show these patterns in different ways, including using algebraic expressions (a math phrase with numbers and letters) and equations (a math sentence showing two things are equal) for patterns that grow steadily.

Your child will be able to figure out the rules for patterns and use those rules to continue the patterns, guess what comes next, and find missing parts in patterns that repeat, grow, or shrink. They will work with patterns using whole numbers and decimals, and use simple algebra (like equations with letters for unknown numbers) to solve for missing values in patterns that grow steadily.

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

Your child will be able to add and subtract simple algebraic expressions called monomials (like 3x or 5y) that only have one term and involve whole numbers, using tools to help them.

Your child will be able to figure out the value of math problems that use letters (called algebraic expressions) and include whole numbers or decimal numbers.

Your child will be able to solve math problems with multiple parts, including whole numbers and decimals, and check if their answers are correct.

Your child will be able to solve math problems that have an answer that is a range of numbers (called inequalities) and then check their work and show the answer on a graph.

Your child will be able to solve math problems and show their work using computer code. This code will be efficient (meaning it runs well) and will include special instructions like counting how many times something should happen or using a smaller program within a larger one.

Your child will be able to read and change existing computer programs, including those that use repeated actions or smaller programs within them. They will also understand how these changes affect what the program does and how quickly and well it works.

Your child will be able to explain why percentages are useful for showing how different parts of a large group of information (like survey results) are spread out, and give examples of this.

Your child will be able to gather different kinds of information, like observations (qualitative data) and numbers (quantitative data), to answer questions. They will also learn to organize this information, including using percentages.

Your child will learn to choose the best type of graph, like a circle graph (or pie chart), 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 specific graph.

Your child will be able to create an infographic, which is like a visual report, to tell a story using information from a set of data. They will use tables and circle graphs to show the data in clear and appropriate ways.

Your child will be able to understand how adding or removing information from a group of data changes the average (mean, median, or mode) and how that affects the overall shape and spread of the data.

Your child will be able to look at different kinds of graphs, including circle graphs and graphs that might be trying to trick you, and understand what the data means. They will learn to ask questions, think critically about what they see, and use this information to make good arguments and decisions.

Your child will learn the difference between events that don't affect each other (independent events) and events where one outcome changes the chances of another (dependent events), and how to explain this with examples.

Your child will learn to figure out and compare the chances of two separate things happening (independent events) versus two things where one affects the other (dependent events). They'll also understand the difference between theoretical probability (what should happen) and experimental probability (what actually happens when you try it out).

Your child will be able to describe and sort 3D shapes like cylinders, pyramids, and prisms by looking at their features, including if they can be cut in half symmetrically (plane symmetry) or if they look the same after being turned (rotational symmetry).

Your child will be able to draw an object or room from different angles, like from the top, front, or side, and also draw it in perspective, which means making it look three-dimensional on paper. They will use the correct scale so the drawing accurately represents the real size of the object or space.

Your child will be able to make shapes bigger or smaller while keeping their original form (this is called a dilation) and explain how the new shape is still similar to the old one.

Your child will be able to understand and perform different ways to move shapes on a graph called a Cartesian plane. These movements include sliding (translation), flipping (reflection), and turning (rotation) shapes, and your child will be able to predict where the shape will end up after these changes.

Your child will be able to explain the difference between volume (the amount of space an object takes up) and capacity (how much a container can hold). They will also use the relationship between millilitres and cubic centimetres to solve problems.

Your child will be able to solve problems about perimeter (the distance around an object), area (the amount of surface an object covers), and volume (the amount of space an object takes up) that involve changing between different metric units of measurement (like centimeters to meters).

Your child will understand how the radius (distance from the center to the edge), diameter (distance across the circle through the center), and circumference (distance around the circle) are connected. This helps them understand the formula for finding the distance around a circle and solve problems like figuring out how much trim is needed for a circular tablecloth.

Your child will be able to draw circles accurately when given information like the distance from the center to the edge (radius), the distance across the circle through the center (diameter), or the distance around the circle (circumference).

Your child will understand how the radius (distance from the center to the edge), diameter (distance across the circle through the center), and area (space inside the circle) of a circle are connected. They will use this knowledge to explain the formula for finding a circle's area and solve problems about circles.

Your child will be able to understand that a cylinder can be unfolded into a flat shape called a "net," and then use this net to figure out the total area of all its surfaces.

Your child will understand how to find the volume (the amount of space inside) of a prism (a 3D shape with two identical ends and flat sides, like a rectangular box) or a cylinder (a 3D shape with two identical circular ends and one curved side, like a can). They will learn that you can calculate volume by multiplying the area of the base (the flat end) by the height, and they will be able to use this idea to figure out missing measurements if they are given two of the three (base area, height, or volume).

Your child will learn what exchange rates are, how to compare them, and how to change foreign money into Canadian dollars and back again.

Your child will learn to find and explain different trustworthy ways to get information that can help them plan for and achieve a money goal.

Your child will learn how to make a budget, keep track of their spending, and make changes to their plan to reach financial goals over a longer period of time, like saving for a big purchase.

Your child will learn about different things in society and in their own life that can affect how they make choices about money, and understand how each of these things might influence their decisions.

Your child will understand how changes in interest rates can affect how much money they save or earn from investments, and how much it costs to borrow money for things they want to buy.

Your child will be able to compare interest rates and fees from different banks or lenders for accounts and loans, and figure out which option is best for different situations.