# Grade 6: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 33 concepts ready. In the app: https://ai.page/roadmap/ca-ab-grade-6 Part of: [Alberta: Mathematics](https://ai.page/roadmap/ca-ab.md) Goal: Alberta curriculum: Mathematics, Grade 6 ## 1. Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making. · Skills & Procedures - [Statistical Analysis Vocabulary](https://ai.page/c/statistical-analysis-vocabulary/index.md): Read, write, and use the vocabulary of statistical analysis — mean, median, mode, range, frequency, data, sample, average, chart, table, graph, pie chart, scatter graph, correlation — with understanding of what each term describes - [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 - [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% ## 2. Patterns: Awareness of patterns supports problem solving in various situations. · Skills & Procedures - [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 - [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 - [Number Pattern Relationships](https://ai.page/c/number-pattern-relationships/index.md): Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane ## 3. Patterns: Awareness of patterns supports problem solving in various situations. · Knowledge - [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 - [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. Measurement: Attributes such as length, area, volume, and angle are quantified by measurement. · Skills & Procedures - [Measuring length (age 10+)](https://ai.page/c/measuring-length-age-10/index.md): Recognise volume as an attribute of solid figures; understand that a unit cube (side length 1 unit) has 'one cubic unit' of volume and can be used to measure volume; a solid packed with n unit cubes has volume n cubic units - [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 - [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 - [Area of Triangles & Parallelograms](https://ai.page/c/area-of-triangles-and-parallelograms/index.md): Calculate the area of parallelograms and triangles using formulae (A = b × h for parallelograms, A = ½ × b × h for triangles) ## 5. Measurement: Attributes such as length, area, volume, and angle are quantified by measurement. · Knowledge - [Volume as additive](https://ai.page/c/volume-as-additive/index.md): Recognise volume as additive; find volumes of composite solid figures made of two or more non-overlapping right rectangular prisms ## 6. Coordinate Geometry: Location and movement of objects in space can be communicated using a coordinate grid. · Skills & Procedures - [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original - [Transformations on a grid](https://ai.page/c/transformations-on-a-grid/index.md): Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size - [Coordinates (age 10+)](https://ai.page/c/coordinates-age-10/index.md): Describe positions on the full coordinate grid (all four quadrants); use coordinates with negative values ## 7. Coordinate Geometry: Location and movement of objects in space can be communicated using a coordinate grid. · Understanding - [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 ## 8. Coordinate Geometry: Location and movement of objects in space can be communicated using a coordinate grid. · Knowledge - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-2/index.md): Understand a coordinate system defined by two perpendicular number lines (axes) with an origin at (0,0); know that an ordered pair (x, y) specifies a unique point where the first number gives horizontal distance and the second gives vertical distance from the origin ## 9. Geometry: Shapes are defined and related by geometric attributes. · Skills & Procedures - [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties ## 10. Algebra: Equations express relationships between quantities. · Skills & Procedures - [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) - [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 ## 11. Algebra: Equations express relationships between quantities. · Knowledge - [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 ## 12. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Skills & Procedures - [Measurement Conversions](https://ai.page/c/measurement-conversions/index.md): Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts - [Compound Units](https://ai.page/c/compound-units/index.md): Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units - [Percentages (age 9+)](https://ai.page/c/percentages-age-9/index.md): Know and use the vocabulary of ratio and proportion — ratio, proportion, percentage, scale, equivalent, unequal, relative size, part-to-part, part-to-whole, and out of — and understand the difference between ratio (comparing parts to parts) and proportion (comparing a part to the whole) - [Estimation to check answers to calculations](https://ai.page/c/estimation-to-check-answers-to-calculations/index.md): Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy - [Dividing fractions (unit fractions)](https://ai.page/c/dividing-fractions-unit-fractions/index.md): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result - [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 - [Prime numbers](https://ai.page/c/prime-numbers/index.md): Know and use the vocabulary of prime numbers, prime factors, and composite numbers; establish whether a number up to 100 is prime; recall prime numbers up to 19 - [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 ## 13. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Understanding - [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 - [Multiplication as scaling](https://ai.page/c/multiplication-as-scaling/index.md): Interpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the effect of multiplying by fractions greater than, equal to, or less than 1 ## 14. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Knowledge - [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 ## Health: 0 of 100 Of its 33 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): - Statistical Analysis Vocabulary has no explanation yet - Experimental probability has no explanation yet - Percentages as Fractions has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Algebraic Transformations comes before Algebraic Notation, which it needs - Algebraic Transformations has no explanation yet - Number Pattern Relationships has no explanation yet - Coordinates (age 11+) comes before Coordinates (age 10+), which it needs - Coordinates (age 11+) has no explanation yet - Positive and Negative Numbers has no explanation yet - Measuring length (age 10+) has no explanation yet - Counting Unit Cubes has no explanation yet - Properties of triangles and quadrilaterals comes before Classifying shapes by properties, which it needs - Properties of triangles and quadrilaterals has no explanation yet - Area of Triangles & Parallelograms has no explanation yet - Volume as additive has no explanation yet - Coordinate Transformations has no explanation yet - Transformations on a grid has no explanation yet - Coordinates (age 10+) comes before Plotting points in the first quadrant, which it needs - Coordinates (age 10+) has no explanation yet - Plotting points in the first quadrant comes before Numbers on a number line, which it needs - Plotting points in the first quadrant has no explanation yet - Numbers on a number line has no explanation yet - Classifying shapes by properties has no explanation yet - Expressions & Equations Vocabulary comes before Algebraic Notation, which it needs - Expressions & Equations Vocabulary has no explanation yet - Substituting into Formulae comes before Algebraic Notation, which it needs - Substituting into Formulae has no explanation yet - Algebraic Notation has no explanation yet - Measurement Conversions has no explanation yet - Compound Units has no explanation yet - Percentages (age 9+) has no explanation yet - Estimation to check answers to calculations has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Factors, multiples, and primes has no explanation yet - Prime numbers has no explanation yet - Numbers on a number line has no explanation yet - Ratio Notation has no explanation yet - Multiplication as scaling has no explanation yet - Dividing Quantities by Ratio has no explanation yet Credit: The structure of Alberta curriculum: Mathematics (https://curriculum.learnalberta.ca/curriculum/en/c/mat6); 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.