# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 45 concepts ready. In the app: https://ai.page/roadmap/ca-ab-grade-3 Part of: [Alberta: Mathematics](https://ai.page/roadmap/ca-ab.md) Goal: Alberta curriculum: Mathematics, Grade 3 ## 1. Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making. · Skills & Procedures - [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables ## 2. Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making. · Knowledge - [Reading tables](https://ai.page/c/reading-tables/index.md): Complete, read, and interpret information in tables, including timetables ## 3. Time: Duration is described and quantified by time. · Skills & Procedures - [Comparing Time Durations](https://ai.page/c/comparing-time-durations/index.md): Compare durations of events and calculate the time taken by particular events or tasks - [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation ## 4. Time: Duration is described and quantified by time. · Knowledge - [Number of minutes in an hour](https://ai.page/c/number-of-minutes-in-an-hour/index.md): Know the number of minutes in an hour and the number of hours in a day - [Time Units and Calendar Facts](https://ai.page/c/time-units-and-calendar-facts/index.md): Know the number of seconds in a minute and the number of days in each month, year, and leap year ## 5. Patterns: Awareness of patterns supports problem solving in various situations. · Skills & Procedures - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences - [Extending Table Patterns](https://ai.page/c/extending-table-patterns/index.md): Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences - [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 ## 6. Measurement: Attributes such as length, area, volume, and angle are quantified by measurement. · Skills & Procedures - [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 with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres - [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes - [Perimeters of polygons](https://ai.page/c/perimeters-of-polygons/index.md): Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa) ## 7. Measurement: Attributes such as length, area, volume, and angle are quantified by measurement. · Understanding - [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit - [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 ## 8. Measurement: Attributes such as length, area, volume, and angle are quantified by measurement. · Knowledge - [Metric & Imperial Conversion](https://ai.page/c/metric-and-imperial-conversion/index.md): Understand and use approximate equivalences between metric units and common imperial units (inches, pounds, pints) ## 9. Geometry: Shapes are defined and related by geometric attributes. · Skills & Procedures - [Classifying shapes by line properties](https://ai.page/c/classifying-shapes-by-line-properties/index.md): Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category - [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 - [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 ## 11. Geometry: Shapes are defined and related by geometric attributes. · Knowledge - [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 - [Angles in triangles (age 7+)](https://ai.page/c/angles-in-triangles-age-7/index.md): Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons, and cubes - [Parallel and perpendicular lines](https://ai.page/c/parallel-and-perpendicular-lines/index.md): Identify horizontal and vertical lines and pairs of perpendicular and parallel lines ## 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) ## 13. Algebra: Equations express relationships between quantities. · Knowledge - [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 ## 14. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Skills & Procedures - [Comparing fractions (age 7+)](https://ai.page/c/comparing-fractions-age-7/index.md): Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line/index.md): Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line - [Adding numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations ## 15. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Understanding - [Unit fractions](https://ai.page/c/unit-fractions/index.md): Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators - [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator - [Division as equal sharing](https://ai.page/c/division-as-equal-sharing/index.md): Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made) - [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) - [Place Value Problem-Solving](https://ai.page/c/place-value-problem-solving/index.md): Solve number and practical problems involving place value with increasingly large positive numbers - [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 ## 16. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Knowledge - [Understanding fractions](https://ai.page/c/understanding-fractions-2/index.md): Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents - [Fraction Notation](https://ai.page/c/fraction-notation/index.md): Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole - [What Division Means](https://ai.page/c/what-division-means/index.md): Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups) - [What Multiplication Means](https://ai.page/c/what-multiplication-means/index.md): Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7) - [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide - [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 - [Estimating by rounding](https://ai.page/c/estimating-by-rounding/index.md): Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning - [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line ## Health: 0 of 100 Of its 45 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): - Pictograms and tally charts has no explanation yet - Reading tables has no explanation yet - Comparing Time Durations has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Number of minutes in an hour has no explanation yet - Time Units and Calendar Facts has no explanation yet - Patterns & Sequences has no explanation yet - Extending Table Patterns has no explanation yet - Shape patterns has no explanation yet - Calculating with measurements has no explanation yet - Measuring with different units has no explanation yet - Understanding angles has no explanation yet - Estimating Lengths has no explanation yet - Measuring Perimeters has no explanation yet - Perimeters of polygons has no explanation yet - Comparing lengths by measuring has no explanation yet - What Is an Angle? has no explanation yet - Metric & Imperial Conversion has no explanation yet - Classifying shapes by line properties has no explanation yet - Classifying shapes by properties has no explanation yet - Transformations on a Grid comes before Transformations on a grid, which it needs - Transformations on a Grid has no explanation yet - Transformations on a grid has no explanation yet - Angles in triangles (age 7+) has no explanation yet - Parallel and perpendicular lines has no explanation yet - Expressions & Equations Vocabulary has no explanation yet - Algebraic Transformations has no explanation yet - Comparing fractions (age 7+) comes before Unit fractions, which it needs - Comparing fractions (age 7+) has no explanation yet - Fractions on a number line has no explanation yet - Adding numbers has no explanation yet - Unit fractions has no explanation yet - Fractions of a whole comes before Fraction Notation, which it needs - Fractions of a whole has no explanation yet - Comparing fractions has no explanation yet - Division as equal sharing has no explanation yet - Place value of each digit has no explanation yet - Place Value Problem-Solving has no explanation yet - Numbers to 10,000 comes before Representing Numbers, which it needs - Numbers to 10,000 has no explanation yet - Comparing Large Numbers has no explanation yet - Understanding fractions has no explanation yet - Fraction Notation has no explanation yet - What Division Means has no explanation yet - What Multiplication Means has no explanation yet - Properties of Operations has no explanation yet - Estimation to check answers to calculations has no explanation yet - Estimating by rounding has no explanation yet - Representing Numbers 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.