# Grade 6: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 17 concepts ready. In the app: https://ai.page/roadmap/or-grade-6 Part of: [Oregon: Mathematics](https://ai.page/roadmap/or.md) Goal: Oregon academic standards: Mathematics, Grade 6 ## 1. Grade 6 · Analyze, summarize, and describe data. - [Calculating the Mean](https://ai.page/c/calculating-the-mean/index.md): Calculate and interpret the mean as an average of a data set ## 2. Grade 6 · Solve real-world and mathematical problems involving area, surface area, and volume. - [3-D shapes (age 11+)](https://ai.page/c/3-d-shapes-age-11/index.md): Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections - [Plotting points in the first quadrant](https://ai.page/c/plotting-points-in-the-first-quadrant/index.md): Plot and read ordered pairs in the first quadrant of the coordinate plane; represent real-world and mathematical problems by graphing points and interpreting coordinate values in context - [Estimating answers (age 10+)](https://ai.page/c/estimating-answers-age-10/index.md): Find the volume of right rectangular prisms by packing with unit cubes and show it equals l × w × h (or base area × height); apply V = l × w × h and V = B × h to solve real-world problems; calculate, estimate, and compare volumes of cubes and cuboids in standard units (cm³, m³) - [Angles in triangles (age 11+)](https://ai.page/c/angles-in-triangles-age-11/index.md): Derive and apply formulae for the area of triangles, parallelograms, and trapezia, and for the volume of cuboids and other prisms (including cylinders), connecting each formula to its geometric reasoning ## 3. Grade 6 · Apply and extend previous understandings of numbers to the system of rational numbers. - [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 - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-5/index.md): Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts; distinguish absolute value comparisons from ordering statements ## 4. Grade 6 · Compute fluently with multi-digit numbers and find common factors and multiples. - [Factors, multiples, and primes](https://ai.page/c/factors-multiples-and-primes/index.md): Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems - [Multi-step problems: choosing operations](https://ai.page/c/multi-step-problems-choosing-operations/index.md): Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in contexts - [Division with Decimals](https://ai.page/c/division-with-decimals/index.md): Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers ## 5. Grade 6 · Apply and extend previous understandings of multiplication and division to divide fractions by fractions. - [Multiplying fractions (age 10+)](https://ai.page/c/multiplying-fractions-age-10/index.md): Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal parts; write answers in simplest form ## 6. Grade 6 · Understand ratio concepts and use ratio reasoning to solve problems. - [Proportional Reasoning Vocabulary](https://ai.page/c/proportional-reasoning-vocabulary/index.md): Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts - [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 ## 7. Grade 6 · Represent and analyze quantitative relationships between dependent and independent variables. - [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 ## 8. Grade 6 · Reason about and solve one-variable equations and inequalities. - [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients - [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 ## 9. Grade 6 · Apply and extend previous understandings of arithmetic to algebraic expressions. - [Algebraic Notation](https://ai.page/c/algebraic-notation/index.md): Use and interpret algebraic notation including: ab for a × b, 3y for y + y + y, a² for a × a, a/b for a ÷ b, coefficients as fractions, and brackets for grouping; read and write algebraic expressions fluently ## Health: 0 of 100 Of its 17 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): - Calculating the Mean comes before Division with Decimals, which it needs - Calculating the Mean has no explanation yet - 3-D shapes (age 11+) has no explanation yet - Plotting points in the first quadrant has no explanation yet - Estimating answers (age 10+) has no explanation yet - Angles in triangles (age 11+) has no explanation yet - Positive and Negative Numbers has no explanation yet - Numbers on a number line has no explanation yet - Factors, multiples, and primes has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Division with Decimals has no explanation yet - Multiplying fractions (age 10+) has no explanation yet - Proportional Reasoning Vocabulary has no explanation yet - Ratio Notation has no explanation yet - Proportion has no explanation yet - Solving Linear Equations has no explanation yet - Numbers on a number line has no explanation yet - Algebraic Notation has no explanation yet Credit: The structure of Oregon academic standards: Mathematics (https://www.oregon.gov/ode/educator-resources/standards/mathematics/Pages/MathStandards.aspx); 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.