Grades 7

Number Sense and Numeration

1. Representing and ordering decimals (to hundredths), fractions, and integers.
2. Representing squares and square roots.
3. Dividing whole numbers by simple fractions and decimals.
4. Adding and subtracting simple fractions and integers.
5. Multiplying and dividing decimal numbers to thousandths by one-digit whole numbers.
6. Applying order of operations in expressions with brackets.
7. Relating fractions, decimals, and percents.
8. Solving problems involving whole-number percents and unit rates.

Measurement

1. Converting between metric units, including converting between square centimetres and square metres.
2. Developing the area relationship for a trapezoid.
3. Developing and applying the formula for the volume of a prism.
4. Determining and applying surface-area relationships for prisms.
5. Relating millilitres and cubic centimetres.

Geometry and Spatial Sense

1. Constructing parallel, perpendicular, and intersecting lines.
2. Sorting and classifying triangles and quadrilaterals by geometric properties.
3. Constructing angle bisectors and perpendicular bisectors.
4. Investigating relationships among congruent shapes.
5. Relating enlarging and reducing to similar shapes.
6. Comparing similar and congruent shapes.
7. Performing and describing dilatations.
8. Tiling a plane.
9. Plotting points in all four quadrants.

Patterning and Algebra

1. Representing linear growing patterns.
2. Representing patterns algebraically.
3. Modelling real-life relationships involving constant rates graphically and algebraically.
4. Translating phrases, using algebraic expressions.
5. Finding the term in a pattern algebraically when given any term number.
6. Solving linear equations using concrete materials or inspection and guess and check.

Data Management and Probability

1. Collecting and organizing categorical, discrete, and continuous data.
2. Displaying data in relative frequency tables and circle graphs.
3. Identifying bias in data; relating changes in data to changes in central tendency.
4. Making inferences based on data; investigating real-world applications of probability.
5. Determining the theoretical probability of two independent events.

Grades 8

Number Sense and Numeration

1. Representing and ordering rational numbers.
2. Representing numbers using exponential notation.
3. Solving multi-step problems involving whole numbers and decimals.
4. Multiplying and dividing fractions and integers.
5. Multiplying and dividing decimals by powers of ten.
6. Applying order of operations in expressions with brackets and exponents.
7. Solving problems involving percents to one decimal place and percents greater than 100.
8. Solving problems involving rates and proportions.

Measurement

1. Converting between cubic centimetres and cubic metres and between millilitres and cubic centimetres.
2. Developing circumference and area relationships for a circle.
3. Developing and applying the formula for the volume of a cylinder.
4. Determining and applying surface-area relationships for cylinders.

Geometry and Spatial Sense

1. Sorting quadrilaterals by geometric properties involving diagonals.
2. Constructing circles; investigating relationships among similar shapes.
3. Determining and applying angle relationships for parallel and intersecting lines.
4. Relating the numbers of faces, edges, and vertices of a polyhedron.
5. Determining and applying the Pythagorean relationship geometrically.
6. Plotting the image of a point on the coordinate plane after applying a transformation.

Patterning and Algebra

1. Representing the general term in a linear sequence, using one or more algebraic expressions.
2. Translating statements, using algebraic equations.
3. Finding the term number in a pattern algebraically when given any term.
4. Solving linear equations involving onevariable terms with integer solutions using a “balance” model.

Data Management and Probability

1. Collecting categorical, discrete, and continuous data.
2. Organizing data into intervals; displaying data using histograms and scatter plots.
3. Using measures of central tendency to compare sets of data.
4. Comparing two attributes using data management tools.
5. Comparing experimental and theoretical probabilities.
6. Calculating the probability of complementary events.