Ontario
Ontario mathematics: the 2020 Grades 1–8 curriculum and the Grade 9 de-streamed course (MTH1W). Senior-course topics are left untagged rather than guessed at.
84 codes, each linked to the lesson that teaches it. These are tags, not gates — nothing in the game reads them to decide what a student may do.
Grade 1
Grade 2
Grade 3
Grade 4
- G4.B1.3Round whole numbers to the nearest ten, hundred or thousand.
- G4.B2.2Recall and demonstrate multiplication facts from 1 × 1 to 10 × 10, and the related division facts.
- G4.B2.6Represent and solve problems involving division, including problems that have a remainder.
- G4.C2.2Determine the unknown in equations involving a single operation, and verify the solution.
Grade 5
- G5.B1.3Represent equivalent fractions from halves to twelfths, using appropriate tools and drawings.
- G5.B1.4Compare and order fractions from halves to twelfths, including improper fractions and mixed numbers.
- G5.B1.5Read, represent, compare and order decimal numbers up to hundredths.
- G5.B2.2Recall and demonstrate multiplication facts from 0 × 0 to 12 × 12, and the related division facts.
- G5.B2.5Add and subtract fractions with like denominators in various contexts.
- G5.B2.6Represent and solve problems involving the multiplication of multi-digit whole numbers.
- G5.B2.7Represent and solve problems involving the division of multi-digit whole numbers.
- G5.C2.3Solve equations that involve one operation and whole numbers, and verify the solution.
- G5.E1.1Identify geometric properties of triangles, and construct triangles from given side or angle measurements.
- G5.E2.5Use the area relationships among rectangles, parallelograms and triangles to develop and apply their area formulas.
Grade 6
- G6.B1.2Read, represent, compare and order integers, using a variety of tools including number lines.
- G6.B1.3Compare and order integers, decimal numbers and fractions together.
- G6.B1.4Read, represent, compare and order decimal numbers up to thousandths.
- G6.B2.12Solve problems involving ratios, rates and percents, including finding a percent of a number.
- G6.B2.3Use mental math to find benchmark percents of whole numbers.
- G6.B2.5Add and subtract fractions with like and unlike denominators, using appropriate strategies.
- G6.B2.6Represent composite numbers as a product of prime factors, including using factor trees.
- G6.C2.3Solve equations that involve multiple terms and whole numbers, and verify the solution.
- G6.D1Manage, analyse and use data to make convincing arguments and informed decisions, in various contexts drawn from real life.
- G6.D2Describe the likelihood that events will happen, and use that information to make predictions.
- G6.E1.3Plot and read coordinates in all four quadrants of a Cartesian plane, and describe the translations that move a point from one coordinate to another.
- G6.E2.3Use the relationships between complementary, supplementary, opposite, interior and exterior angles to determine unknown angle measures.
- G6.E2.4Determine the areas of trapezoids, rhombuses, kites and composite polygons by decomposing them.
Grade 7
- G7.B2.1Use the properties and order of operations with whole numbers, decimals, fractions, ratios, rates and percents.
- G7.B2.10Identify proportional and non-proportional situations and apply proportional reasoning to solve problems.
- G7.B2.3Increase and decrease a whole number by 1%, 5%, 10%, 25%, 50% and 100%.
- G7.B2.6Determine the greatest common factor of two whole numbers up to 144, and the lowest common multiple of two or three whole numbers.
- G7.B2.7Evaluate and express repeated multiplication of whole numbers using exponential notation.
- G7.B2.8Multiply and divide fractions by fractions, using tools in various contexts.
- G7.B2.9Multiply and divide decimal numbers by decimal numbers, in various contexts.
- G7.C2.1Add and subtract monomials with a degree of 1 that involve whole numbers (collecting like terms).
- G7.C2.2Evaluate algebraic expressions that involve whole numbers and decimal numbers.
- G7.C2.3Solve equations that involve multiple terms, whole numbers and decimal numbers, and verify the solution.
- G7.C2.4Solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions.
- G7.D1Manage, analyse and use data to make convincing arguments and informed decisions, in various contexts drawn from real life.
- G7.D1.5Determine the impact of adding or removing data from a data set on a measure of central tendency, and describe how these changes alter the shape and distribution of the data.
- G7.D2Describe the likelihood that events will happen, and use that information to make predictions.
- G7.D2.1Use 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.
- G7.E1.3Perform dilations and describe the similarity between the image and the original shape.
- G7.E2.3Use the relationships between the radius, diameter and circumference of a circle to solve problems.
- G7.E2.5Solve problems involving the area of a circle, and the relationship between its area and its circumference.
- G7.E2.6Represent cylinders as nets and determine their surface area.
- G7.E2.7Determine the volume of right prisms and cylinders as the area of the base times the height.
Grade 8
- G8.B1.1Represent and compare very large and very small numbers, including through the use of scientific notation, and describe various ways they are used in everyday life.
- G8.B1.2Describe, compare and order numbers in the real number system (rational and irrational numbers), separately and in combination, in various contexts.
- G8.B1.3Estimate and calculate square roots, in various contexts.
- G8.B1.4Use equivalent fractions to simplify fractions, when appropriate, in various contexts.
- G8.B2.1Use the properties and order of operations with rational numbers in expressions and problems.
- G8.B2.2Understand and recall commonly used square numbers and their square roots.
- G8.B2.4Add and subtract integers, using appropriate strategies, in various contexts.
- G8.B2.6Multiply and divide fractions by fractions, and mixed numbers, in various contexts.
- G8.B2.7Multiply and divide integers, using appropriate strategies, in various contexts.
- G8.B2.8Solve problems involving rates, ratios and proportions in various contexts.
- G8.C2.3Solve equations that involve multiple terms, integers and decimal numbers, and verify the solution.
- G8.C2.4Solve inequalities that involve integers, and verify and graph the solutions.
- G8.D1Manage, analyse and use data to make convincing arguments and informed decisions, in various contexts drawn from real life.
- G8.D2Describe the likelihood that events will happen, and use that information to make predictions.
- G8.E1.3Use scale drawings to calculate actual lengths and areas, and reproduce a drawing at a different ratio.
- G8.E1.4Describe and perform translations, reflections, rotations and dilations on a Cartesian plane, and predict the results of these transformations.
- G8.E2.2Solve problems involving the angle properties of intersecting lines, parallel lines cut by a transversal, and polygons.
- G8.E2.3Solve problems involving the perimeter, circumference, area, volume and surface area of composite shapes and objects.
- G8.E2.4Describe the Pythagorean relationship using geometric models, and apply the theorem to find an unknown side length of a right triangle.
Grade 9 (MTH1W, de-streamed)
- MTH1W.B2.2Grade 9 de-streamed — Apply the exponent laws to powers with the same base, and to a power of a power.
- MTH1W.B3.4Grade 9 de-streamed — Solve problems involving operations with positive and negative fractions and mixed numbers, including in linear relations.
- MTH1W.B3.5Grade 9 de-streamed — Solve problems involving rates, percentages and proportions in various contexts.
- MTH1W.C1.4Grade 9 de-streamed — Simplify algebraic expressions by applying properties of operations of numbers, using various representations and tools.
- MTH1W.C1.5Grade 9 de-streamed — Create and solve equations for various contexts, and verify their solutions.
- MTH1W.C3.1Grade 9 de-streamed — Compare the shapes of the graphs of linear and non-linear relations to describe their rates of change.
- MTH1W.C3.2Grade 9 de-streamed — Represent linear relations using tables of values, graphs and equations, and identify the rate of change and the initial value.
- MTH1W.C3.3Grade 9 de-streamed — Compare two linear relations, including identifying and interpreting their point of intersection.
- MTH1W.C4.1Grade 9 de-streamed — Compare the characteristics of graphs, tables of values and equations of linear and non-linear relations.
- MTH1W.C4.2Grade 9 de-streamed — Graph relations of the forms x = k, y = k, x + y = k, ax + by = k and their associated inequalities, and identify the points and regions they define.
- MTH1W.C4.4Grade 9 de-streamed — Determine the equations of lines by connecting rates of change with slopes and initial values with y-intercepts.
- MTH1W.D1Grade 9 de-streamed — Describe the collection and use of data, and represent and analyse data involving one and two variables.