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How to learn Grade 6: Mathematics

Saskatchewan curriculum: Mathematics, Grade 6

0 of 39 concepts ready to learn · Markdown, for your AI

1. Statistics and Probability - Goals: Spatial Sense, Number Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate understanding of probability by: determining sample space, differentia

  1. The Probability Scale: Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and impossible
  2. Experimental probability: Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability
  3. The 0-to-1 Probability Scale: Understand probability as a measure expressed as a number between 0 (impossible) and 1 (certain); place events on the probability scale; express probabilities as fractions, decimals, and percentages

2. Statistics and Probability - Goals: Spatial Sense, Number Sense, Logical Thinking, Mathematics as a Human Endeavour · Extend understanding of data analysis to include: line graphs, graphs of discrete

  1. Line graphs (age 10+): Interpret and construct pie charts and line graphs; use these to solve problems
  2. Statistical Analysis Vocabulary: 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

3. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Demonstrate understanding of single, and combinations of, transformations of 2-D shapes (with

  1. Coordinate Transformations: 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

4. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Demonstrate understanding of the first quadrant of the Cartesian plane and ordered pairs with

  1. Plotting points in the first quadrant: 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

5. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Demonstrate understanding of regular and irregular polygons including: classifying types of t

  1. Regular and irregular polygons: Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles
  2. Types of angles (age 11+): Use conventional geometric terms and notation to describe, sketch, and draw points, lines, parallel and perpendicular lines, right angles, regular polygons, and reflectively/rotationally symmetric polygons

6. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Extend and apply understanding of perimeter of polygons, area of rectangles, and volume of ri

  1. Perimeter (age 10+): Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically
  2. Angles in triangles (age 11+): 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

7. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Demonstrate understanding of angles including: identifying examples, classifying angles, esti

  1. Understanding angles (age 10+): Recognise angles where they meet at a point, are on a straight line, or are vertically opposite; find missing angles using these properties
  2. Understanding angles (age 11+): Apply the properties of angles at a point (360°), on a straight line (180°), and vertically opposite angles to find unknown angles in multi-step problems
  3. Angles in triangles (age 10+): Find unknown angles in triangles, quadrilaterals, and regular polygons using angle sum properties
  4. 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
  5. Measuring angles: Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure
  6. Measuring angles (age 11+): Draw and measure line segments and angles accurately using ruler and protractor, and interpret scale drawings to extract real measurements
  7. Constructing mathematical arguments: Construct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio, or geometry and clearly explain errors or alternative approaches
  8. Estimating Angles: Estimate and compare acute, obtuse, and reflex angles in degrees; classify angles by type and order them by size

8. Patterns and Relationships - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Extend understanding of patterns and relationships by using expressions and equati

  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)
  2. Number Pattern Relationships: Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane

9. Patterns and Relationships - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Extend understanding of preservation of equality concretely, pictorially, physical

  1. Numbers on a number line: 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
  2. Proportion: 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

10. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of ratio concretely, pictorially, and symbolically.

  1. Ratio Notation: 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
  2. Percentages (age 9+): 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)

11. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Extend understanding of fractions to improper fractions and mixed numbers.

  1. Mixed numbers and improper fractions: Recognise mixed numbers and improper fractions; convert from one form to the other (e.g. 2/5 + 4/5 = 6/5 = 1 1/5)
  2. Fractions on a number line: 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
  3. Fractions of a whole (age 10+): Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to fractional or mixed-number answers
  4. Dividing fractions (unit fractions): 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

12. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate understanding of integers concretely, pictorially, and symbolically.

  1. Number Sets & Infinity: Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers
  2. Positive and Negative Numbers: 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

13. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate understanding of percent (limited to whole numbers to 100) concretely, pictorially, and sy

  1. Percentages as Fractions: 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. Decimal & Percent Notation: Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value

14. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Extend understanding of multiplication and division to decimals (1-digit whole number multipliers and

  1. Division with Decimals: Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers

15. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate understanding of the order of operations on whole numbers (excluding exponents) with and w

  1. Order of operations (age 10+): Look for and use mathematical structure: exploit the hierarchy of 2-D shapes to deduce properties; use order of operations and algebraic structure to simplify expressions; connect fraction–decimal–percentage equivalences; use ratio structure to solve proportion problems efficiently

16. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate understanding of factors and multiples (concretely, pictorially, and symbolically) includi

  1. Factors, multiples, and primes: 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
  2. Prime numbers: 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

17. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate understanding of place value including: greater than one million and less than one thousan

  1. Reading and writing numbers (age 10+): Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning
  2. Place Value Problem-Solving: Solve number and practical problems involving place value with increasingly large positive numbers