Mathematics, Grade 6

Unit 1: Number

Whole numbers to one million; integers introduced; decimals to thousandths, including repeating decimals; multi-step problems with ratios, rates, and percents; divisibility rules; fractions with unlike denominators; prime factorization; and operations with fractions and decimals.

• Reading and representing numbers to one million

• Reading and representing integers on number lines
• Comparing and ordering integers, decimals, and fractions

• Reading, representing, comparing, and ordering decimals to thousandths
• Rounding terminating and repeating decimals
• Showing equivalences between fractions and decimals to thousandths

• Solving multi-step problems with ratios, rates, and percents
• Understanding and applying divisibility rules
• Mental math: calculating percents of whole numbers

• Adding and subtracting whole and decimal numbers with estimation and algorithms
• Adding and subtracting fractions with like and unlike denominators

• Representing composite numbers as products of prime factors

• Multiplying three-digit whole numbers by decimal tenths
• Dividing three-digit whole numbers by decimal tenths
• Multiplying whole numbers by proper fractions
• Dividing whole numbers by proper fractions
• Dividing decimals to thousandths by whole numbers up to 10

• Solving problems involving ratios, percents, and rates

Unit 2: Algebra

Repeating, growing, and shrinking patterns including linear growing patterns; adding monomials, evaluating algebraic expressions, solving equations and inequalities; and code involving conditional statements and control structures, written efficiently.

• Identifying patterns and specifying which growing patterns are linear
• Creating and translating patterns, including algebraic expressions for linear growing patterns
• Determining pattern rules and using algebra to solve for unknowns in linear patterns
• Creating patterns to show relationships among whole and decimal numbers

• Adding monomials with a degree of 1
• Evaluating algebraic expressions with whole numbers and decimal tenths
• Solving multi-term equations with whole numbers
• Solving and graphing two-operation inequalities up to 100

• Writing and running efficient code with conditionals and control structures
• Reading and altering code, describing effects on outcomes and efficiency

Unit 3: Data

Discrete versus continuous data, collecting and organizing data with intervals; histograms, broken-line graphs, and infographics; range and central tendency; analysing and comparing data sets; and probability using fractions, decimals, and percents for two independent events.

• Describing the difference between discrete and continuous data
• Collecting qualitative and quantitative data, organizing using intervals

• Selecting and justifying a graph type, including histograms and broken-line graphs
• Creating an infographic using tables, histograms, and broken-line graphs

• Determining range and measures of central tendency to compare data sets
• Analysing data in histograms, broken-line, and misleading graphs

• Using fractions, decimals, and percents to express probability on a probability line
• Determining and comparing probabilities of two independent events

Unit 4: Spatial Sense

Properties of quadrilaterals; constructing 3D objects from views; the Cartesian plane in all four quadrants; combined transformations up to 360°; metric measurement and unit conversion both directions; protractors to 360°; angle relationship properties; areas of trapezoids, rhombuses, kites, and composite polygons; and surface area of prisms and pyramids.

• Listing geometric properties of quadrilaterals

• Constructing 3D objects from top, front, and side views

• Plotting and reading coordinates in all four quadrants and describing translations

• Performing and predicting combined translations, reflections, and rotations up to 360°

• Measuring with metric units and converting both ways

• Using a protractor to measure and construct angles up to 360°
• Solving for unknown angles using angle relationship properties

• Determining areas of trapezoids, rhombuses, kites, and composite polygons

• Creating and using nets to show the relationship between faces and surface area
• Determining surface areas of prisms and pyramids from their faces

Unit 5: Financial Literacy

Advantages and disadvantages of payment methods; setting and pursuing financial goals; factors affecting financial goals; interest rates and fees; and trading, lending, borrowing, and donating.

• Describing advantages and disadvantages of payment methods

• Identifying types of financial goals and key steps to achieve them
• Identifying factors that help or interfere with reaching financial goals

• Explaining interest rates and fees on accounts and loans
• Describing trading, lending, borrowing, and donating