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How to learn Grade 3: Mathematics

Alberta curriculum: Mathematics, Grade 3

0 of 45 concepts ready to learn · Markdown, for your AI

1. Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making. · Skills & Procedures

  1. Pictograms and tally charts: 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

  1. Reading tables: Complete, read, and interpret information in tables, including timetables

3. Time: Duration is described and quantified by time. · Skills & Procedures

  1. Comparing Time Durations: Compare durations of events and calculate the time taken by particular events or tasks
  2. Telling time to the minute (age 7+): 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

  1. Number of minutes in an hour: Know the number of minutes in an hour and the number of hours in a day
  2. Time Units and Calendar Facts: 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

  1. Patterns & Sequences: Order and arrange combinations of mathematical objects in patterns and sequences
  2. Extending Table Patterns: Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences
  3. Shape patterns: 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

  1. Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
  2. Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
  3. Understanding angles: Recognise angles as a property of shape or a description of a turn
  4. Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres
  5. Measuring Perimeters: Measure the perimeter of simple 2-D shapes
  6. Perimeters of polygons: 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

  1. Comparing lengths by measuring: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
  2. What Is an Angle?: 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

  1. Metric & Imperial Conversion: 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

  1. Classifying shapes by line properties: 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
  2. Classifying shapes by properties: 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

  1. Transformations on a Grid: 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

  1. Transformations on a grid: 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
  2. Angles in triangles (age 7+): Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons, and cubes
  3. Parallel and perpendicular lines: Identify horizontal and vertical lines and pairs of perpendicular and parallel lines

12. Algebra: Equations express relationships between quantities. · Skills & Procedures

  1. Expressions & Equations Vocabulary: 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

  1. Algebraic Transformations: 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

  1. Comparing fractions (age 7+): Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison
  2. Fractions on a number line: Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line
  3. Adding numbers: 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

  1. Unit fractions: Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
  2. Fractions of a whole: 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
  3. Comparing fractions: Compare and order unit fractions, and fractions with the same denominator
  4. Division as equal sharing: Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made)
  5. Place value of each digit: Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
  6. Place Value Problem-Solving: Solve number and practical problems involving place value with increasingly large positive numbers
  7. Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations
  8. Comparing Large Numbers: Order and compare numbers beyond 1000

16. Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. · Knowledge

  1. Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
  2. Fraction Notation: 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
  3. What Division Means: Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)
  4. What Multiplication Means: Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)
  5. Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
  6. Estimation to check answers to calculations: Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
  7. Estimating by rounding: Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning
  8. Representing Numbers: Identify, represent, and estimate numbers using different representations including the number line