Mathematics 7

Testing for divisibility

I can test whether a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10 using quick rules, and explain why they work.

Why you can never divide by zero

I can explain why division by zero is undefined.

Adding and subtracting decimals

I can add and subtract decimals accurately by aligning place value.

Multiplying decimals

I can multiply decimals and place the decimal point correctly in the product.

Dividing decimals

I can divide decimals, including using technology for larger divisors, and solve problems.

Finding a percent of a number

I can find a percent of a number by converting the percent and multiplying.

Percent problem solving

I can solve real-context problems involving percents from 1% to 100%.

Terminating decimals and fractions

I can convert between positive terminating decimals and their equivalent fractions.

Repeating decimals and fractions

I can convert between positive repeating decimals and their equivalent fractions, and recognize repeating notation.

Adding and subtracting with like denominators

I can add and subtract positive fractions with the same denominator.

Adding and subtracting with unlike denominators

I can add and subtract positive fractions with unlike denominators by finding a common denominator.

Adding and subtracting mixed numbers

I can add and subtract positive mixed numbers.

Adding integers

I can add integers, modelled concretely and on a number line.

Subtracting integers

I can subtract integers by adding the opposite.

Comparing and ordering fractions and decimals

I can compare and order positive fractions, decimals (to thousandths) and whole numbers using benchmarks, place value and equivalent forms.

Using benchmarks to compare

I can use benchmark values to quickly compare and order numbers without full conversion.

Oral and written patterns

I can describe a pattern in words and connect it to its equivalent linear relation.

From pattern description to relation

I can translate a described pattern into its linear relation and verify it against given terms.

Building a table of values

I can create a table of values from a linear relation.

Graphing and analyzing the relation

I can graph a table of values and analyze the graph to draw conclusions and solve problems.

Modelling preservation of equality

I can model preservation of equality concretely and pictorially — the same change to both sides keeps a balanced equation balanced.

Applying preservation of equality

I can apply preservation of equality symbolically to solve simple equations.

Expression vs. equation

I can explain the difference between an expression and an equation.

Evaluating expressions

I can evaluate an algebraic expression by substituting given values for the variable(s).

Modelling one-step equations

I can model a one-step equation of the form x + a = b concretely and pictorially.

Solving one-step equations symbolically

I can solve x + a = b symbolically using preservation of equality, and verify the solution.

Solving ax = b

I can model and solve equations of the form ax = b with whole numbers.

Solving x/a = b

I can model and solve equations of the form x/a = b (a ≠ 0) with whole numbers.

Solving ax + b = c

I can model and solve two-step equations of the form ax + b = c with whole-number coefficients.

Radius, diameter and circumference

I can describe the relationships among a circle's radius, diameter and circumference.

Circumference and pi

I can relate circumference to pi and use C = πd to solve for circumference, diameter or radius.

Central angles and constructing circles

I can determine that a circle's central angles sum to 360° and construct circles with a given radius or diameter.

Area of triangles

I can develop and apply the formula Area = ½ × base × height for triangles.

Area of parallelograms

I can develop and apply the formula Area = base × height for parallelograms.

Area of circles

I can develop and apply the formula Area = πr² for circles, and solve problems.

Perpendicular and parallel line segments

I can construct perpendicular and parallel line segments using geometry tools.

Perpendicular and angle bisectors

I can construct perpendicular bisectors of segments and bisectors of angles.

Identifying and plotting integer coordinates

I can identify and plot points in all four quadrants of a Cartesian plane using integer ordered pairs.

Translations, rotations and reflections

I can perform and describe translations, rotations and reflections of a 2-D shape in all four quadrants.

Describing a transformation from coordinates

I can describe which transformation(s) produced a given image from its original shape.

Mean, median and mode

I can determine the mean, median and mode of a data set.

Range and choosing the best measure

I can determine a data set's range and decide which measure of central tendency best represents it.

How outliers affect mean, median and mode

I can determine the effect on the mean, median and mode when an outlier is included in a data set.

Constructing circle graphs

I can construct and label a circle graph from a data set.

Interpreting circle graphs

I can interpret a circle graph to solve problems and answer questions about the data.

Probability as a ratio, fraction and percent

I can express a probability as a ratio, a fraction and a percent, and convert among the three forms.

Identifying the sample space

I can identify the sample space for two independent events (36 or fewer combined outcomes).

Organizing outcomes with tables and tree diagrams

I can use a table, tree diagram or other graphic organizer to systematically list all outcomes of two independent events.

Theoretical probability of two independent events

I can determine the theoretical probability of two independent events using a tree diagram, table or other graphic organizer.

Comparing to experimental probability

I can conduct a probability experiment for two independent events and compare the results to the theoretical probability.