New Brunswick · Grade 7
Mathematics, Grade 7
New Brunswick’s Grade 7 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 7
- Skills
- 36
- Provincial exam
- Yes
- Official curriculum
- New Brunswick 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 0.
Official code: N1
Adding and subtracting decimals
I can add and subtract decimals to solve problems.
Official code: N2
Multiplying and dividing decimals
I can multiply and divide decimals to solve problems.
Official code: N2
Percents from 1% to 100%
I can solve problems with percents from 1 to 100.
Official code: N3
Fractions, Decimals, and Integers
Repeating decimals and fractions
I can connect a repeating decimal to a fraction.
Official code: N4
Terminating decimals and fractions
I can connect a terminating decimal to a fraction.
Official code: N4
Adding and subtracting fractions with like denominators
I can add and subtract fractions with the same denominator.
Official code: N5
Adding and subtracting fractions with unlike denominators
I can add and subtract fractions with different denominators.
Official code: N5
Adding integers
I can add integers, including negatives.
Official code: N6
Subtracting integers
I can subtract integers, including negatives.
Official code: N6
Comparing and ordering fractions, decimals, and whole numbers
I can compare and order fractions, decimals, and whole numbers.
Official code: N7
The official wording · 11 outcomes
- N1
- 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.
- N2
- Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected) to solve problems.
- N2
- Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected) to solve problems.
- N3
- Solve problems involving percents from 1% to 100%.
- N4
- Demonstrate an understanding of the relationship between positive repeating decimals and positive fractions
- N4
- Demonstrate an understanding of the relationship between positive repeating decimals and positive fractions, and positive terminating decimals and positive fractions.
- N5
- Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially and symbolically (limited to positive sums and differences).
- N5
- Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially and symbolically (limited to positive sums and differences).
- N6
- Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
- N6
- Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
- N7
- Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using: benchmarks; place value; equivalent fractions and/or decimals.
Key ideas
Rules for 2, 5, and 10 use the last digit; rules for 3 and 9 use the digit sum.
Some fractions give a decimal that repeats, like 1/3 = 0.333...
Dividing by 0 is undefined — no number times 0 gives a nonzero result.
A bar shows the repeating digits.
We line up the decimal points before adding or subtracting.
Watch out for
- Thinking any even number is divisible by 4.
- Rounding a repeating decimal and calling it exact.
- Believing a number divided by 0 is 0.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 8 skills
Patterns and Relations
Patterns & Relations
Patterns, Relations, and Equations
Patterns and equivalent linear relations
I can turn a pattern into a linear relation.
Official code: PR1
Tables, graphs, and analysis of linear relations
I can make a table from a linear relation, graph it, and analyze it.
Official code: PR2
Modelling preservation of equality
I can model why an equation stays balanced.
Official code: PR3
Using preservation of equality to solve equations
I can solve an equation using preservation of equality.
Official code: PR3
Expression versus equation
I can tell an expression from an equation.
Official code: PR4
Evaluating an expression
I can evaluate an expression for a given value.
Official code: PR5
One-step equations x + a = b
I can model and solve equations of the form x + a = b.
Official code: PR6
Solving linear equations
I can model and solve problems using linear equations.
Official code: PR7
The official wording · 8 outcomes
- PR1
- Demonstrate an understanding of oral and written patterns and their equivalent linear relations.
- PR2
- Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.
- PR3
- Demonstrate an understanding of preservation of equality by: modelling preservation of equality, concretely, pictorially and symbolically
- PR3
- applying preservation of equality to solve equations.
- PR4
- Explain the difference between an expression and an equation.
- PR5
- Evaluate an expression given the value of the variable(s).
- PR6
- Model and solve problems that can be represented by one-step linear equations of the form x + a = b, concretely, pictorially and symbolically, where a and b are integers.
- PR7
- Model and solve problems that can be represented by linear equations.
Key ideas
A pattern can be written as a rule relating position to value.
The rule is a linear relation, like value = 2 × position + 1.
A table of values comes from substituting into the relation.
Plotting the pairs gives a straight line we can read.
Doing the same thing to both sides keeps the equation equal.
Watch out for
- Using only the difference, not the full relation.
- Forgetting the constant term.
- Plotting pairs in the wrong order.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 10 skills
Shape and Space
Circles and Area
Radius, diameter, circumference, and pi
I can relate radius, diameter, and circumference, and connect circumference to pi.
Official code: SS1
Sum of the central angles
I know the central angles of a circle sum to 360 degrees.
Official code: SS1
Constructing circles and solving circle problems
I can construct a circle and solve problems about its measures.
Official code: SS1
Area of triangles
I can find the area of a triangle using a formula.
Official code: SS2
Area of parallelograms
I can find the area of a parallelogram using a formula.
Official code: SS2
Area of circles
I can find the area of a circle using a formula.
Official code: SS2
Constructions and the Coordinate Plane
Perpendicular and parallel line segments
I can construct perpendicular and parallel line segments.
Official code: SS3
Perpendicular bisectors and angle bisectors
I can construct a perpendicular bisector and an angle bisector.
Official code: SS3
Plotting points in four quadrants
I can plot and name points in all four quadrants.
Official code: SS4
Transformations in four quadrants
I can transform a shape across four quadrants and describe it.
Official code: SS5
The official wording · 10 outcomes
- SS1
- Demonstrate an understanding of circles by: describing the relationships among radius, diameter and circumference of circles; relating circumference to pi
- SS1
- determining the sum of the central angles
- SS1
- constructing circles with a given radius or diameter; solving problems involving the radii, diameters and circumferences of circles.
- SS2
- Develop and apply a formula for determining the area of: triangles
- SS2
- Develop and apply a formula for determining the area of: triangles; parallelograms
- SS2
- Develop and apply a formula for determining the area of: triangles; parallelograms; circles.
- SS3
- Perform geometric constructions, including: perpendicular line segments; parallel line segments
- SS3
- Perform geometric constructions, including: perpendicular line segments; parallel line segments; perpendicular bisectors; angle bisectors.
- SS4
- Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
- SS5
- Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).
Key ideas
The diameter is twice the radius.
Perpendicular segments meet at a right angle.
Circumference divided by diameter is about pi (3.14).
Parallel segments stay the same distance apart.
The central angles around the centre sum to 360 degrees.
Watch out for
- Confusing radius and diameter.
- Confusing perpendicular with parallel.
- Thinking pi changes with circle size.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 7 skills
Statistics and Probability
Central Tendency and Circle Graphs
Determining central tendency and range
I can find the mean, median, mode, and range.
Official code: SP1
Choosing the best measure of central tendency
I can choose the best measure of central tendency for a situation.
Official code: SP1
Effect of an outlier
I can describe how an outlier changes the mean, median, and mode.
Official code: SP2
Circle graphs
I can construct and read a circle graph.
Official code: SP3
Probability of Two Events
Probabilities as ratios, fractions, and percents
I can write a probability as a ratio, a fraction, and a percent.
Official code: SP4
Sample space for two independent events
I can list the sample space for two independent events.
Official code: SP5
Comparing theoretical and experimental probability of two events
I can compare theoretical and experimental probability for two events.
Official code: SP6
The official wording · 7 outcomes
- SP1
- Demonstrate an understanding of central tendency and range by: determining the measures of central tendency (mean, median, mode) and range
- SP1
- determining the most appropriate measures of central tendency to report findings.
- SP2
- Determine the effect on the mean, median & mode when an outlier is included in the data.
- SP3
- Construct, label and interpret circle graphs to solve problems.
- SP4
- Express probabilities as ratios, fractions and percents.
- SP5
- Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
- SP6
- Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table or another graphic organizer) and experimental probability of two independent events.
Key ideas
The mean is the total divided by the count; the median is the middle value.
A probability compares favourable outcomes to total outcomes.
The mode is the most frequent value; the range is the spread.
The same probability can be a ratio, fraction, or percent.
The mean can be pulled by extreme values.
Watch out for
- Forgetting to order the data before finding the median.
- Writing the fraction upside down.
- Confusing mean and median.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
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The official curriculum
This page follows New Brunswick’s own curriculum for Mathematics, Grade 7.
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| NNumber | Outcomes 7 | Taught in Unit 1 |
| PRPatterns & Relations | Outcomes 7 | Taught in Unit 2Patterns and Relations |
| SSShape and Space | Outcomes 5 | Taught in Unit 3 |
| SPStatistics and Probability | Outcomes 6 | Taught in Unit 4 |
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Course Companion
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Questions about Mathematics, Grade 7
What is Mathematics, Grade 7?
New Brunswick’s Grade 7 math course: 4 units and 36 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 7?
1. Number, 2. Patterns and Relations, 3. Shape and Space and 4. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 7?
Yes. The Grade 7 Mathematics Assessment is written in New Brunswick. Next sitting: May 31, 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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