# Secondary 1: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 24 concepts ready. In the app: https://ai.page/roadmap/ca-qc-secondary-1 Part of: [Quebec: Mathematics](https://ai.page/roadmap/ca-qc.md) Goal: Quebec curriculum: Mathematics, Secondary 1 ## 1. Arithmetic · Fractions - [Dividing fractions](https://ai.page/c/dividing-fractions/index.md): Divide a fraction by a fraction using the 'keep-change-flip' method and visual models; interpret and solve word problems involving division of fractions by fractions - [Percentages as Fractions](https://ai.page/c/percentages-as-fractions/index.md): Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100% - [Comparing fractions (age 10+)](https://ai.page/c/comparing-fractions-age-10/index.md): Compare and order fractions including fractions greater than 1, by converting to common denominators or using benchmarks ## 2. Arithmetic · Decimals up to thousandths - [Reading and writing numbers (age 10+)](https://ai.page/c/reading-and-writing-numbers-age-10/index.md): Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning - [Reading Decimal Places](https://ai.page/c/reading-decimal-places/index.md): Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths) ## 3. Arithmetic · Natural numbers less than 1 000 000 - [Positive and Negative Numbers](https://ai.page/c/positive-and-negative-numbers/index.md): Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances ## 4. Arithmetic · Real numbers - [Number Sets & Infinity](https://ai.page/c/number-sets-and-infinity/index.md): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers - [Real-world fraction multiplication](https://ai.page/c/real-world-fraction-multiplication/index.md): Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations - [Decimal place value (age 11+)](https://ai.page/c/decimal-place-value-age-11/index.md): Round numbers and measures to an appropriate degree of accuracy including to a specified number of decimal places or significant figures - [Dividing Quantities by Ratio](https://ai.page/c/dividing-quantities-by-ratio/index.md): Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole - [Mixed & Improper Fractions](https://ai.page/c/mixed-and-improper-fractions/index.md): Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-maths/index.md): Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations ## 5. Arithmetic · Proportionality - [Proportion](https://ai.page/c/proportion/index.md): Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations - [Ratio Notation](https://ai.page/c/ratio-notation/index.md): Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations ## 6. Algebra · Algebraic expressions - [Algebraic Transformations](https://ai.page/c/algebraic-transformations/index.md): Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations - [Generating Sequences](https://ai.page/c/generating-sequences/index.md): Generate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is arithmetic, geometric, or neither - [Expressions & Equations Vocabulary](https://ai.page/c/expressions-and-equations-vocabulary/index.md): Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign) ## 7. Algebra · Manipulating algebraic expressions - [Substituting into Formulae](https://ai.page/c/substituting-into-formulae/index.md): Substitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and computing the result using correct order of operations - [Factorising Expressions](https://ai.page/c/factorising-expressions/index.md): Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3) ## 8. Probability · Processing data from random experiments - [Experimental probability](https://ai.page/c/experimental-probability/index.md): Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability ## 9. Geometry · Length - [Unit Conversions](https://ai.page/c/unit-conversions/index.md): Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places where appropriate - [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths ## 10. Geometry · Volume - [Counting Unit Cubes](https://ai.page/c/counting-unit-cubes/index.md): Measure volumes by counting unit cubes using cubic cm, cubic in, cubic ft, and other units ## 11. Geometry · Locating - [Coordinates (age 11+)](https://ai.page/c/coordinates-age-11/index.md): Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely ## Health: 0 of 100 Of its 24 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Dividing fractions has no explanation yet - Percentages as Fractions has no explanation yet - Comparing fractions (age 10+) has no explanation yet - Reading and writing numbers (age 10+) has no explanation yet - Reading Decimal Places has no explanation yet - Positive and Negative Numbers has no explanation yet - Number Sets & Infinity has no explanation yet - Real-world fraction multiplication has no explanation yet - Decimal place value (age 11+) has no explanation yet - Dividing Quantities by Ratio comes before Ratio Notation, which it needs - Dividing Quantities by Ratio has no explanation yet - Mixed & Improper Fractions has no explanation yet - Numbers on a number line has no explanation yet - Proportion has no explanation yet - Ratio Notation has no explanation yet - Algebraic Transformations has no explanation yet - Generating Sequences has no explanation yet - Expressions & Equations Vocabulary has no explanation yet - Substituting into Formulae has no explanation yet - Factorising Expressions has no explanation yet - Experimental probability has no explanation yet - Unit Conversions has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Counting Unit Cubes has no explanation yet - Coordinates (age 11+) has no explanation yet Credit: The structure of Quebec curriculum: Mathematics (https://www.education.gouv.qc.ca/en/teachers/programs/mathematics/); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.