Grade 7 Ontario math worksheets

Represent whole numbers up to one billion, including in expanded form with powers of ten.

Partial Multiplies and divides by powers of 10. Does not write a number in expanded form.

Identify perfect squares and determine their square roots.

Read, compare and order rational numbers, including negative fractions and decimals.

Partial Finds the absolute value of an integer. Does not compare or order rational numbers.

Use equivalent fractions to simplify fractions.

Generate fractions and decimal numbers between any two quantities.

Partial Names the value of each digit to the thousandths. Does not ask for a number between two others.

Round decimal numbers to the nearest tenth, hundredth or whole number.

Partial Rounds to the nearest hundredth; tenths is a setting on the same maker. Does not round to the nearest whole number.

Convert between fractions, decimal numbers and percents.

Use the properties and order of operations with whole and decimal numbers.

Recall the commonly used percent, fraction and decimal equivalents.

Increase and decrease a whole number by 1%, 5%, 10%, 25%, 50% and 100% mentally.

Represent and solve situations involving the addition and subtraction of integers.

Add and subtract fractions by creating equivalent fractions.

Determine the greatest common factor up to 144 and the lowest common multiple.

Partial Finds the greatest common factor only to 40; this expectation reaches 144 and also asks for the least common multiple.

Express repeated multiplication using exponential notation.

Multiply and divide fractions by fractions.

Partial Divides fractions; this expectation also requires multiplication.

Multiply and divide decimal numbers by decimal numbers.

Identify proportional situations and apply proportional reasoning.

Identify and compare repeating, growing and shrinking patterns.

Create and translate patterns involving whole and decimal numbers.

Determine pattern rules and identify missing elements.

Create patterns to illustrate relationships among integers.

Partial Generates a whole-number pattern. Does not use integers.

Add and subtract monomials with a degree of 1.

Evaluate algebraic expressions involving whole and decimal numbers.

Solve equations with multiple terms and decimal numbers, and verify the solutions.

Solve inequalities with multiple terms and graph the solutions.

Partial Solves a one-step inequality. Does not handle multiple terms.

Explain why percentages represent the distribution of a variable in large data sets.

Partial Reads relative frequency off a two-way table. Does not ask why percentages are used.

Determine how adding or removing data changes a measure of central tendency.

Partial Computes the measures. Does not ask what happens when the data set changes.

Analyse data in circle graphs and in misleading graphs.

Partial Reads a circle graph. Does not ask what makes a graph misleading.

Describe the difference between independent and dependent events.

Compare the theoretical and experimental probabilities of independent and dependent events.

Classify cylinders, pyramids and prisms by their properties and symmetry.

Perform dilations and describe the similarity between image and original.

Perform translations, reflections and rotations on a Cartesian plane.

Describe the difference between volume and capacity and relate millilitres to cubic centimetres.

Partial Counts unit cubes for volume. Does not relate volume to capacity.

Solve perimeter, area and volume problems that require converting units.

Use the relationships between radius, diameter and circumference.

Relate radius and diameter to the area of a circle and explain the formula.

Represent cylinders as nets and find the surface area from the parts.

Show that the volume of a prism or cylinder is the base area times the height.