New Brunswick · Grade 9
Mathematics, Grade 9
New Brunswick’s Grade 9 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 9
- Skills
- 38
- Provincial exam
- None
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 10 skills
Number
Powers
Powers as repeated multiplication
I can write repeated multiplication as a power.
Skill 1.1
The zero exponent
I can explain why a power with a zero exponent equals one.
Skill 1.2
Solving problems with powers
I can solve problems using powers.
Skill 1.3
Operations on Powers and Rational Numbers
Multiplying and dividing powers
I can multiply and divide powers with the same base.
Skill 1.4
Power of a power
I can raise a power to a power.
Skill 1.5
Comparing and ordering rational numbers
I can compare and order rational numbers.
Skill 1.6
Operations on rational numbers
I can add, subtract, multiply, and divide rational numbers.
Skill 1.7
Order of operations with exponents
I can use the order of operations, including exponents.
Skill 1.8
Square root of perfect squares
I can find the square root of a rational perfect square.
Skill 1.9
Approximate square root of non-perfect squares
I can estimate the square root of a rational non-perfect square.
Skill 1.10
The official wording · 10 outcomes
- 1.1
- Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by: representing repeated multiplication using powers
- 1.2
- using patterns to show that a power with an exponent of zero is equal to one
- 1.3
- solving problems involving powers.
- 1.4
- Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents.
- 1.5
- Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents.
- 1.6
- Demonstrate an understanding of rational numbers by: comparing and ordering rational numbers
- 1.7
- solving problems that involve arithmetic operations on rational numbers.
- 1.8
- Explain and apply the order of operations, including exponents, with and without technology.
- 1.9
- Determine the square root of positive rational numbers that are perfect squares.
- 1.10
- Determine an approximate square root of positive rational numbers that are non-perfect squares.
Key ideas
A power has a base and an exponent, like 2^4.
To multiply powers with the same base, add the exponents.
The exponent counts how many times the base is multiplied.
To divide, subtract the exponents.
Dividing powers reduces the exponent by one each time.
Watch out for
- Multiplying the base by the exponent.
- Multiplying the exponents when multiplying powers.
- Miscounting the number of factors.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 12 skills
Patterns and Relations
Patterns & Relations
Patterns and Linear Relations
Generalizing a pattern with a linear equation
I can write a linear equation for a pattern and verify it.
Skill 2.1
Graphing and interpolating linear relations
I can graph a linear relation and interpolate or extrapolate.
Skill 2.2
Linear Equations and Inequalities
One-step linear equations
I can solve one-step linear equations.
Skill 2.3
Two-step linear equations
I can solve two-step linear equations.
Skill 2.4
Equations with variables on both sides
I can solve equations with the variable on both sides.
Skill 2.5
Bracketed and distributive equations
I can solve equations that involve brackets.
Skill 2.6
Single-variable linear inequalities
I can solve a single-variable linear inequality.
Skill 2.7
Polynomials
Understanding polynomials
I can identify the parts of a polynomial.
Skill 2.8
Adding polynomials
I can add polynomials by combining like terms.
Skill 2.9
Subtracting polynomials
I can subtract polynomials.
Skill 2.10
Multiplying polynomials by monomials
I can multiply a polynomial by a monomial.
Skill 2.11
Dividing polynomials by monomials
I can divide a polynomial by a monomial.
Skill 2.12
The official wording · 12 outcomes
- 2.1
- Generalize a pattern arising from a problem-solving context using linear equations and verify by substitution.
- 2.2
- Graph linear relations, analyze the graph and interpolate or extrapolate to solve problems.
- 2.3
- Model and solve problems using linear equations of the form: ax = b; a x = b , a ≠ 0; ax + b = c;
- 2.4
- ax + b = c; a x +b = c, a ≠ 0; x a = b, x ≠ 0
- 2.5
- ax+ b = cx + d; a(bx + c) = d(ex + f); a(x + b) = c; ax = b+cx
- 2.6
- ax+ b = cx + d; a(bx + c) = d(ex + f); a(x + b) = c; ax = b+cx concretely, pictorially and symbolically, where a, b, c, d, e, and f are rational numbers.
- 2.7
- Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
- 2.8
- Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).
- 2.9
- Model, record and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially and symbolically (limited to polynomials of degree less than or equal to 2).
- 2.10
- Model, record and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially and symbolically (limited to polynomials of degree less than or equal to 2).
- 2.11
- Model, record and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially and symbolically.
- 2.12
- Model, record and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially and symbolically.
Key ideas
A pattern's rule can be written as a linear equation.
We undo a single operation to isolate the variable.
A polynomial is made of terms with variables and coefficients.
We verify the equation by substituting known terms.
Coefficients can be rational numbers.
Watch out for
- Using only the difference, not the full equation.
- Multiplying when you should divide.
- Confusing a coefficient with a variable.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 9 skills
Shape and Space
Circle Properties
Perpendicular from the centre bisects a chord
I can use the perpendicular-from-the-centre property.
Skill 3.1
Central angle equals twice the inscribed angle
I can use the central-angle-is-twice-the-inscribed-angle property.
Skill 3.2
Inscribed angles on the same arc are congruent
I can use the equal-inscribed-angles property.
Skill 3.3
Tangent is perpendicular to the radius
I can use the tangent-perpendicular-to-radius property.
Skill 3.4
Surface Area, Similarity, and Symmetry
Surface area of composite objects
I can find the surface area of a composite solid.
Skill 3.5
Similarity of polygons
I can decide if polygons are similar and use the ratio.
Skill 3.6
Scale diagrams
I can draw and interpret a scale diagram.
Skill 3.7
Line symmetry
I can identify and draw lines of symmetry.
Skill 3.8
Rotation symmetry
I can identify rotation symmetry and its order.
Skill 3.9
The official wording · 9 outcomes
- 3.1
- Solve problems and justify the solution strategy using circle properties, including: the perpendicular from the centre of a circle to a chord bisects the chord
- 3.2
- the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
- 3.3
- the inscribed angles subtended by the same arc are congruent
- 3.4
- a tangent to a circle is perpendicular to the radius at the point of tangency.
- 3.5
- Determine the surface area of composite 3-D objects to solve problems.
- 3.6
- Demonstrate an understanding of similarity of polygons.
- 3.7
- Draw and interpret scale diagrams of 2-D shapes.
- 3.8
- Demonstrate an understanding of line and rotation symmetry.
- 3.9
- Demonstrate an understanding of line and rotation symmetry.
Key ideas
A perpendicular from the centre to a chord cuts the chord in half.
A composite solid is made of simpler solids joined together.
This creates two congruent right triangles.
We subtract hidden overlapping faces when they join.
A central angle is twice the inscribed angle on the same arc.
Watch out for
- Assuming any line from the centre bisects a chord.
- Counting a hidden joining face.
- Confusing the chord with the diameter.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 7 skills
Statistics and Probability
Data Collection and Histograms
Factors affecting data collection
I can describe how factors like bias and ethics affect data collection.
Skill 4.1
Population versus sample
I can choose and defend a population or a sample.
Skill 4.2
Histograms
I can construct and interpret a histogram.
Skill 4.3
Data Project and Probability in Society
Designing the data investigation
I can design a data investigation.
Skill 4.4
Collecting and displaying the data
I can collect data and display it appropriately.
Skill 4.5
Drawing conclusions from the data
I can draw conclusions from my data to answer the question.
Skill 4.6
The role of probability in society
I can describe how probability is used in society.
Skill 4.7
The official wording · 7 outcomes
- 4.1
- Describe the effect of: bias; use of language; ethics; cost; time and timing; privacy; cultural sensitivity on the collection of data.
- 4.2
- Select and defend the choice of using either a population or a sample of a population to answer a question.
- 4.3
- Construct, label, and interpret histograms to solve problems.
- 4.4
- Develop and implement a project plan for the collection, display and analysis of data by: formulating a question for investigation; choosing a data collection method that includes social considerations; selecting a population or a sample
- 4.5
- collecting the data; displaying the collected data in an appropriate manner
- 4.6
- drawing conclusions to answer the question.
- 4.7
- Demonstrate an understanding of the role of probability in society.
Key ideas
Wording, timing, and bias can distort collected data.
A good question is clear and answerable with data.
Ethics, privacy, and cultural sensitivity shape fair collection.
The method and sample must consider fairness and social factors.
A population is every member; a sample is a chosen subset.
Watch out for
- Thinking data collection is always neutral.
- Asking a vague or leading question.
- Ignoring how wording changes responses.
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.
The official curriculum
This page follows New Brunswick’s own curriculum for Mathematics, Grade 9.
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| NNumber | Outcomes 6 | 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 5 | Taught in Unit 4 |
Study it in MapleMind
MapleMind teaches Mathematics, Grade 9 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Mathematics, Grade 9 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 31
- Fillable fields
- 1,531
- Price
- $4.99
Questions about Mathematics, Grade 9
What is Mathematics, Grade 9?
New Brunswick’s Grade 9 math course: 4 units and 38 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 9?
1. Number, 2. Patterns and Relations, 3. Shape and Space and 4. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 9?
No. New Brunswick gives no provincial exam for Mathematics, Grade 9.
What comes after Mathematics, Grade 9?
Geometry, Measurement and Finance 10 and Number, Relations and Functions 10.
Can MapleMind help with Mathematics, Grade 9?
Yes. MapleMind teaches every skill of Mathematics, Grade 9, 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.
Get ready for Mathematics, Grade 9
Practise every skill of Mathematics, Grade 9 in MapleMind, free with daily limits.
