Mathematics 5

Unit 1: Number

Organizing idea: quantity is measured with numbers that enable counting, labelling, comparing, and operating. Decimal place value, big addition and subtraction, divisibility, multiplication and division, improper fractions, fraction operations, and ratios.

• Precision and trailing zeros
• Decimals between decimals

• Standard algorithms to 1 000 000
• Adding and subtracting decimals to thousandths

• Divisibility tests for 2, 3 and 5
• Finding factors (and why zero can never divide)

• The multiplication algorithm
• The division algorithm

• Fractions bigger than one
• Mixed numbers and improper fractions

• Adding and subtracting with common denominators
• Adding and subtracting past one whole

• Part-part and part-whole ratios
• Percent as a ratio to 100

Unit 2: Algebra

Organizing idea: equations express relationships between quantities. Parentheses and the order of operations, algebraic expressions with variables, and solving equations with inverse operations.

• Parentheses and order of operations
• Meet algebraic expressions
• Solving equations with inverse operations

Unit 3: Geometry

Organizing idea: shapes are defined and related by geometric attributes. Reflection symmetry in 2-D and 3-D, rotation symmetry and its order, and the symmetries of regular polygons and circles.

• Reflection symmetry
• Rotation symmetry and its order

Unit 4: Coordinate Geometry

Organizing idea: location and movement of objects in space can be communicated using a coordinate grid. Coordinate grids, ordered pairs, and positional language.

• Reading and plotting grid coordinates
• Describing position and movement

Unit 5: Measurement

Organizing idea: attributes such as length, area, volume, and angle are quantified by measurement. Area in standard units and the relationship between area and perimeter.

• Area in standard units
• Area and perimeter relationships

Unit 6: Patterns

Organizing idea: awareness of patterns supports problem solving in various situations. Arithmetic sequences, their tables, their graphs, and the expressions that describe them.

• Sequences and their tables
• Sequences on grids and in expressions

Unit 7: Statistics

Organizing idea: the science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making. Frequency in categorical data, the mode, and collecting and representing data.

• Frequency and the mode
• Collecting and representing data