Nova Scotia · Grade 7
Mathematics, Grade 7
Nova Scotia’s Grade 7 math course, from Number to Statistics and Probability.
- Units
- 5
- Lessons
- 10
- Skills
- 31
- Provincial exam
- Yes
- Official curriculum
- Nova Scotia Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 11 skills
Number
Divisibility and decimal operations
Divisibility rules
I can use divisibility rules and explain why we cannot divide by zero.
Official code: N01
Adding and subtracting decimals
I can add and subtract decimals and check with estimation.
Official code: N02
Multiplying and dividing decimals
I can multiply and divide decimals and place the decimal point.
Official code: N02
Percents, fractions, and decimals
Solving percent problems
I can solve percent problems and know when to round.
Official code: N03
Fractions and terminating decimals
I can convert between fractions and terminating decimals.
Official code: N04
Fractions and repeating decimals
I can convert between fractions and repeating decimals.
Official code: N04
Adding fractions, integers, and ordering
Adding and subtracting fractions with like denominators
I can add and subtract fractions that have the same denominator.
Official code: N05
Adding and subtracting fractions with unlike denominators
I can add and subtract fractions with different denominators.
Official code: N05
Adding integers
I can add positive and negative integers.
Official code: N06
Subtracting integers
I can subtract integers and connect it to adding.
Official code: N06
Comparing and ordering fractions, decimals, and whole numbers
I can compare and order fractions, decimals, and whole numbers together.
Official code: N07
The official wording · 11 outcomes
- N01
- determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10, and why a number cannot be divided by 0
- N02
- demonstrate an understanding of the addition, subtraction, multiplication, and division of decimals to solve problems
- N02
- the addition, subtraction, multiplication, and division of decimals to solve problems (for more than one-digit divisors or more than two-digit multipliers, the use of technology is expected)
- N03
- solve problems involving percents from 1% to 100% (limited to whole numbers)
- N04
- demonstrate an understanding of the relationship between positive terminating decimals and positive fractions
- N04
- positive repeating decimals (with one or two repeating digits) and positive fractions
- N05
- adding and subtracting positive fractions and mixed numbers, with like and unlike denominators
- N05
- adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially, and symbolically
- N06
- demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically
- N06
- addition and subtraction of integers, concretely, pictorially, and symbolically
- N07
- compare, order, and position positive fractions, positive decimals (to thousandths), and whole numbers by using benchmarks, place value, and equivalent fractions and/or decimals
Key ideas
Each divisor has a quick rule (e.g., divisible by 3 if the digit sum is divisible by 3).
A percent can be written as a decimal or fraction to compute with.
With like denominators, add or subtract the numerators and keep the denominator.
Divisibility rules help find factors quickly.
Mental math and estimation solve many percent problems quickly.
Watch out for
- Thinking a number divisible by 2 and 3 is not automatically divisible by 6.
- Writing 15% as 15 instead of 0.15 when computing.
- Adding the denominators as well as the numerators.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 8 skills
Patterns and Relations
Linear relations, tables, and graphs
Patterns and their linear relations
I can write a linear relation for a pattern.
Official code: PR01
Tables and graphs of linear relations
I can graph a linear relation from a table and read the graph.
Official code: PR02
Equality, expressions, and equations
Modelling preservation of equality
I can model preservation of equality and write equivalent equations.
Official code: PR03
Solving equations with preservation of equality
I can solve an equation by keeping it balanced.
Official code: PR03
Expressions versus equations
I can tell an expression from an equation.
Official code: PR04
Evaluating expressions
I can evaluate an expression for a given value.
Official code: PR05
One-step linear equations
I can solve a one-step equation like x + a = b.
Official code: PR06
Two-step linear equations
I can solve a two-step equation like ax + b = c.
Official code: PR07
The official wording · 8 outcomes
- PR01
- demonstrate an understanding of oral and written patterns and their equivalent linear relations
- PR02
- create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems
- PR03
- modelling preservation of equality, concretely, pictorially, and symbolically
- PR03
- applying preservation of equality to solve equations
- PR04
- explain the difference between an expression and an equation
- PR05
- evaluate an expression given the value of the variable(s)
- PR06
- problems that can be represented by one-step linear equations of the form x + a = b, where a and b are integers
- PR07
- problems that can be represented by linear equations of the form ax + b = c; ax = b; x ÷ a = b, a ≠ 0
Key ideas
A linear relation like 2n + 3 describes a growing pattern.
An equation stays balanced when the same operation is applied to both sides.
The variable n stands for the position or term number.
A balance model shows equality.
A relation can model a pattern in the environment.
Watch out for
- Using only the constant, missing the per-term growth.
- Changing only one side of the equation.
- Writing 2n as 2 + n instead of 2 × n.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 5 skills
Measurement
Circles and pi
Radius, diameter, circumference, and pi
I can relate radius, diameter, and circumference through pi.
Official code: M01
Central angles and constructing circles
I can use central angles and construct a circle from a radius or diameter.
Official code: M01
Solving circle problems
I can solve problems about a circle's radius, diameter, and circumference.
Official code: M01
Area of triangles, parallelograms, and circles
Area of triangles and parallelograms
I can find the area of a triangle and a parallelogram.
Official code: M02
Area of circles
I can estimate and find the area of a circle.
Official code: M02
The official wording · 5 outcomes
- M01
- describing the relationships among radius, diameter, and circumference ▪ relating circumference to pi
- M01
- determining the sum of the central angles ▪ constructing circles with a given radius or diameter
- M01
- solving problems involving the radii, diameters, and circumferences of circles
- M02
- develop and apply a formula for determining the area of triangles, parallelograms, and circles
- M02
- develop and apply a formula for determining the area of triangles, parallelograms, and circles
Key ideas
The diameter is twice the radius.
A parallelogram's area is base × height, like a rectangle.
The circumference is about three times the diameter.
A triangle is half a rectangle or parallelogram, so area is (base × height) ÷ 2.
Pi is the ratio of circumference to diameter, about 3.14.
Watch out for
- Thinking the diameter is half the radius.
- Using a slanted side as the height instead of the perpendicular height.
- Believing pi changes with the size of the circle.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 1 skill
Geometry
The four-quadrant Cartesian plane
Plotting in four quadrants
I can plot a point in any of the four quadrants.
Official code: G02
The official wording · 1 outcomes
- G02
- identify and plot points in the four quadrants of a Cartesian plane, using integral ordered pairs
Key ideas
The axes divide the plane into four quadrants.
An integral ordered pair can have negative coordinates.
The signs of x and y determine the quadrant.
Watch out for
- Reversing x and y when the coordinates are negative.
- Mislabelling which quadrant has which sign pattern.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 5 · 6 skills
Statistics and Probability
Central tendency and circle graphs
Mean, median, mode, and range
I can find the mean, median, mode, and range of a data set.
Official code: SP01
Choosing the most appropriate measure
I can choose the best measure of central tendency for a situation.
Official code: SP01
The effect of outliers
I can describe how an outlier affects the mean, median, and mode.
Official code: SP02
Constructing and interpreting circle graphs
I can build and read a circle graph.
Official code: SP03
Probability
Probability as ratios, fractions, and percents
I can write a probability as a ratio, fraction, and percent.
Official code: SP04
Probability of two independent events
I can find and compare the probability of two independent events.
Official code: SP06
The official wording · 6 outcomes
- SP01
- determining the measures of central tendency (mean, median, mode) and range
- SP01
- determining the most appropriate measures of central tendency to report findings
- SP02
- determine the effect on the mean, median, and mode when an outlier is included in a data set
- SP03
- construct, label, and interpret circle graphs to solve problems
- SP04
- express probabilities as ratios, fractions, and percents
- SP06
- conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table, or other graphic organizer) and experimental probability of two independent events
Key ideas
Mean is the total divided by the count.
Probability is favourable outcomes over total outcomes.
Median is the middle value; mode is the most frequent value.
The same probability can be written 1:6, 1/6, or about 17%.
Range is the difference between the largest and smallest values.
Watch out for
- Forgetting to order the data before finding the median.
- Writing a probability greater than 1.
- Confusing the mode (most frequent) with the mean.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
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The official curriculum
This page follows Nova Scotia’s own curriculum for Mathematics, Grade 7.
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Questions about Mathematics, Grade 7
What is Mathematics, Grade 7?
Nova Scotia’s Grade 7 math course: 5 units and 31 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 7?
1. Number, 2. Patterns and Relations, 3. Measurement, 4. Geometry and 5. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 7?
Yes. The Nova Scotia Assessment: Reading, Writing, and Mathematics/Mathématiques in Grade 8 is written in Nova Scotia. Next sitting: May 3, 2027.
What comes after Mathematics, Grade 7?
Mathematics, Grade 8.
Can MapleMind help with Mathematics, Grade 7?
Yes. MapleMind teaches every skill of Mathematics, Grade 7, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
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