# Grade 5: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 40 concepts ready. In the app: https://ai.page/roadmap/ca-ab-grade-5 Part of: [Alberta: Mathematics](https://ai.page/roadmap/ca-ab.md) Goal: Alberta curriculum: Mathematics, Grade 5 ## 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 - [Comparing measurements](https://ai.page/c/comparing-measurements/index.md): Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers - [Reading tables](https://ai.page/c/reading-tables/index.md): Complete, read, and interpret information in tables, including timetables ## 2. Patterns: Awareness of patterns supports problem solving in various situations. · Skills & Procedures - [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur - [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 - [Patterns in Times Tables](https://ai.page/c/patterns-in-times-tables/index.md): Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations ## 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 - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units - [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes - [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 (age 8+)](https://ai.page/c/area-age-8/index.md): Measure areas by counting unit squares (square cm, square m, square in, square ft) ## 5. Measurement: Attributes such as length, area, volume, and angle are quantified by measurement. · Understanding - [Perimeter (age 10+)](https://ai.page/c/perimeter-age-10/index.md): Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically ## 6. Measurement: Attributes such as length, area, volume, and angle are quantified by measurement. · Knowledge - [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 ## 7. Coordinate Geometry: Location and movement of objects in space can be communicated using a coordinate grid. · Skills & Procedures - [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 - [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 ## 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 - [First Quadrant Coordinates](https://ai.page/c/first-quadrant-coordinates/index.md): Describe positions on a 2-D grid as coordinates in the first quadrant ## 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. Geometry: Shapes are defined and related by geometric attributes. · Understanding - [What Is an Angle?](https://ai.page/c/what-is-an-angle/index.md): Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes ## 11. Geometry: Shapes are defined and related by geometric attributes. · Knowledge - [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 - [Regular and irregular polygons](https://ai.page/c/regular-and-irregular-polygons/index.md): Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles - [2-D shapes (age 8+)](https://ai.page/c/2-d-shapes-age-8/index.md): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry - [Transformations on a Grid](https://ai.page/c/transformations-on-a-grid-maths/index.md): Identify, describe, and represent the position of a shape following a reflection or translation using appropriate language; know that the shape has not changed ## 12. 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) - [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 - [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 - [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 - [Brackets in Expressions](https://ai.page/c/brackets-in-expressions/index.md): Use parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these grouping symbols ## 13. 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 ## 14. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Skills & Procedures - [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% - [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 - [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 - [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 - [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 by two-digit numbers](https://ai.page/c/dividing-by-two-digit-numbers/index.md): Divide numbers up to 4 digits by a two-digit number using formal written short division where appropriate, interpreting remainders according to context - [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 ## 15. 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 - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line ## 16. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Knowledge - [Fraction Addition Concepts](https://ai.page/c/fraction-addition-concepts/index.md): Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way - [Mixed numbers and improper fractions](https://ai.page/c/mixed-numbers-and-improper-fractions/index.md): Recognise mixed numbers and improper fractions; convert from one form to the other (e.g. 2/5 + 4/5 = 6/5 = 1 1/5) ## Health: 0 of 100 Of its 40 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 - Comparing measurements has no explanation yet - Reading tables has no explanation yet - Shape patterns comes before Patterns in Times Tables, which it needs - Shape patterns has no explanation yet - Number Pattern Relationships has no explanation yet - Patterns in Times Tables has no explanation yet - Measuring length (age 10+) has no explanation yet - Calculating with measurements has no explanation yet - Measuring Perimeters 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 (age 8+) has no explanation yet - Perimeter (age 10+) has no explanation yet - Counting Unit Cubes has no explanation yet - Coordinates (age 10+) has no explanation yet - Transformations on a grid has no explanation yet - Numbers on a number line has no explanation yet - First Quadrant Coordinates has no explanation yet - Classifying shapes by properties comes before Regular and irregular polygons, which it needs - Classifying shapes by properties has no explanation yet - What Is an Angle? has no explanation yet - Coordinate Transformations has no explanation yet - Regular and irregular polygons has no explanation yet - 2-D shapes (age 8+) has no explanation yet - Transformations on a Grid has no explanation yet - Expressions & Equations Vocabulary comes before Algebraic Notation, which it needs - Expressions & Equations Vocabulary has no explanation yet - Numbers on a number line has no explanation yet - Algebraic Transformations comes before Algebraic Notation, which it needs - Algebraic Transformations has no explanation yet - Substituting into Formulae comes before Algebraic Notation, which it needs - Substituting into Formulae has no explanation yet - Brackets in Expressions has no explanation yet - Algebraic Notation has no explanation yet - Percentages as Fractions has no explanation yet - Dividing Quantities by Ratio comes before Ratio Notation, which it needs - Dividing Quantities by Ratio has no explanation yet - Measurement Conversions has no explanation yet - Positive and Negative Numbers has no explanation yet - Estimation to check answers to calculations has no explanation yet - Dividing by two-digit numbers has no explanation yet - Decimal place value (age 11+) has no explanation yet - Ratio Notation has no explanation yet - Fractions on a number line has no explanation yet - Fraction Addition Concepts has no explanation yet - Mixed numbers and improper fractions 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.