Grade 5 - Mathematics

Mathematics

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

Algebra: Equations express relationships between quantities.

Geometry: Shapes are defined and related by geometric attributes.

Coordinate Geometry: Location and movement of objects in space can be communicated by using a coordinate grid.

Measurement: Attributes such as length, area, volume, and angle are quantified by measurement.

Patterns: Awareness of patterns supports problem solving in various situations.

Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making.

How can the infinite nature of place value enhance insight into number?

In what ways can the processes of addition and subtraction be articulated?

In what ways can divisibility characterize natural numbers?

In what ways can the processes of multiplication and division be articulated?

In what ways can fractions communicate numbers greater than one?

How can the composition of fractions facilitate operating with fractions?

How can ratios provide new ways to relate numbers?

How can expressions enhance communication of number?

In what ways might symmetry characterize shape?

How can location enhance the ways in which space is defined?

In what ways can area be communicated?

How might representation of a sequence provide insight into change?

How might frequency bring meaning to data?

Students analyze patterns in place value.

Students add and subtract within 1 000 000, including decimal numbers to thousandths, using standard algorithms.

Students determine divisibility of natural numbers.

Students multiply and divide natural numbers within 100 000, including with standard algorithms.

Students interpret improper fractions.

Students add and subtract fractions with common denominators.

Students employ ratios to represent relationships between quantities.

Students interpret numerical and algebraic expressions.

Students investigate symmetry as a geometric property

Students relate location to position on a grid.

Students estimate and calculate area, using standard units.

Students relate terms to position within an arithmetic sequence.

Students analyze frequency in categorical data.