Mathematics 6

Unit 1: Number

Organizing idea: quantity is measured with numbers that enable counting, labelling, comparing, and operating. Positive and negative numbers, standard algorithms, prime factorization and powers, fractions as quotients, fraction operations, and ratios/rates/percent.

• Understanding negative numbers
• Adding and subtracting with integers

• Standard algorithms for addition and subtraction
• Money and measurement problems

• Factors, primes and composites
• Prime factorization
• Powers and exponents

• Multiplying decimal and natural numbers
• Dividing with decimal quotients

• Fractions as equal sharing
• From fractions to decimals by division

• Related denominators
• Common denominator strategies

• Multiplying by unit fractions
• Multiplying naturals by any fraction

• Equivalent ratios and proportions
• Rates and unit rates
• Percent as a proportional relationship

Unit 2: Algebra

Organizing idea: equations express relationships between quantities. Order of operations with powers, like terms and algebraic properties, and solving equations.

• Order of operations with powers
• Like terms and algebraic properties
• Solving simple equations

Unit 3: Geometry

Organizing idea: shapes are defined and related by geometric attributes. Symmetry, congruence, and tessellations — including First Nations and Métis star blanket designs.

• Symmetry and tessellations
• Congruence

Unit 4: Coordinate Geometry

Organizing idea: location and movement of objects in space can be communicated using a coordinate grid. The Cartesian plane, ordered pairs, and movement as translations, reflections and rotations.

• Coordinates and plotting
• Movement in the plane

Unit 5: Measurement

Organizing idea: attributes such as length, area, volume, and angle are quantified by measurement. Areas of parallelograms, triangles and composite shapes, and volume.

• Parallelogram and triangle areas
• Areas of composite shapes

• Volume and its units
• Volume of right rectangular prisms

Unit 6: Patterns

Organizing idea: awareness of patterns supports problem solving in various situations. Functions as changing quantities, tables of values, and graphs of change.

• Variables and functions
• Tables and graphs of change

Unit 7: Statistics

Organizing idea: the science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making. Relative frequency and experimental data.

• Relative frequency
• Experiments and likelihood