Number Sense and Numeration

• Representing and ordering decimals (to hundredths), fractions, and integers.

• Representing squares and square roots.

• Dividing whole numbers by simple fractions and decimals.

• Adding and subtracting simple fractions and integers.

• Multiplying and dividing decimal numbers to thousandths by one-digit whole numbers.

• Applying order of operations in expressions with brackets.

• Relating fractions, decimals, and percents.

• Solving problems involving whole-number percents and unit rates.

Measurement

• Converting between metric units, including converting between square centimetres and square metres.

• Developing the area relationship for a trapezoid.

• Developing and applying the formula for the volume of a prism.

• Determining and applying surface-area relationships for prisms.

• Relating millilitres and cubic centimetres.

Geometry and Spatial Sense

• Constructing parallel, perpendicular, and intersecting lines.

• Sorting and classifying triangles and quadrilaterals by geometric properties.

• Constructing angle bisectors and perpendicular bisectors.

• Investigating relationships among congruent shapes.

• Relating enlarging and reducing to similar shapes.

• Comparing similar and congruent shapes.

• Performing and describing dilatations.

• Tiling a plane.

• Plotting points in all four quadrants.

Patterning and Algebra

• Representing linear growing patterns.

• Representing patterns algebraically.

• Modelling real-life relationships involving constant rates graphically and algebraically.

• Translating phrases, using algebraic expressions.

• Finding the term in a pattern algebraically when given any term number.

• Solving linear equations using concrete materials or inspection and guess and check.

Data Management and Probability

• Collecting and organizing categorical, discrete, and continuous data.

• Displaying data in relative frequency tables and circle graphs.

• Identifying bias in data; relating changes in data to changes in central tendency.

• Making inferences based on data; investigating real-world applications of probability.

• Determining the theoretical probability of two independent events.

Number Sense and Numeration

• Representing and ordering rational numbers.

• Representing numbers using exponential notation.

• Solving multi-step problems involving whole numbers and decimals.

• Multiplying and dividing fractions and integers.

• Multiplying and dividing decimals by powers of ten.

• Applying order of operations in expressions with brackets and exponents.

• Solving problems involving percents to one decimal place and percents greater than 100.

• Solving problems involving rates and proportions.

Measurement

• Converting between cubic centimetres and cubic metres and between millilitres and cubic centimetres.

• Developing circumference and area relationships for a circle.

• Developing and applying the formula for the volume of a cylinder.

• Determining and applying surface-area relationships for cylinders.

Geometry and Spatial Sense

• Sorting quadrilaterals by geometric properties involving diagonals.

• Constructing circles; investigating relationships among similar shapes.

• Determining and applying angle relationships for parallel and intersecting lines.

• Relating the numbers of faces, edges, and vertices of a polyhedron.

• Determining and applying the Pythagorean relationship geometrically.

• Plotting the image of a point on the coordinate plane after applying a transformation.

Patterning and Algebra

• Representing the general term in a linear sequence, using one or more algebraic expressions.

• Translating statements, using algebraic equations.

• Finding the term number in a pattern algebraically when given any term.

• Solving linear equations involving onevariable terms with integer solutions using a “balance” model.

Data Management and Probability

• Collecting categorical, discrete, and continuous data.

• Organizing data into intervals; displaying data using histograms and scatter plots.

• Using measures of central tendency to compare sets of data.

• Comparing two attributes using data management tools.

• Comparing experimental and theoretical probabilities.

• Calculating the probability of complementary events.