Courses

Manitoba · Grade 9

Grade 9 Mathematics (10F)

Manitoba’s Grade 9 math course, from Number to Statistics and Probability.

Learn thisPractice test
Units
4
Lessons
6
Skills
34
Provincial exam
None
Official curriculum
Manitoba Education

Unit by unit

Every skill in the course, with its official code.

Unit 1 · 10 skills

Number

Powers and Exponent Laws

The official wording · 10 outcomes
9.N.1
Demonstrate an understanding of powers with integral bases (excluding base 0) and whole-number exponents by Q Q representing repeated multiplication using powers
9.N.1
Demonstrate an understanding of powers with integral bases (excluding base 0) and whole-number exponents by Q Q using patterns to show that a power with an exponent of zero is equal to one
9.N.1
Demonstrate an understanding of powers with integral bases (excluding base 0) and whole-number exponents by Q Q representing repeated multiplication using powers
9.N.1
Demonstrate an understanding of powers with integral bases (excluding base 0) and whole-number exponents by Q Q solving problems involving powers
9.N.2
Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole-number exponents.
9.N.3
Demonstrate an understanding of rational numbers by Q Q comparing and ordering rational numbers
9.N.3
Demonstrate an understanding of rational numbers by Q Q solving problems that involve arithmetic operations on rational numbers
9.N.4
Explain and apply the order of operations, including exponents, with and without technology.
9.N.5
Determine the square root of positive rational numbers that are perfect squares.
9.N.6
Determine an approximate square root of positive rational numbers that are non-perfect squares.

Key ideas

  1. A power has a base and an exponent: 2^3 means 2 x 2 x 2.

  2. The base is the repeated factor; the exponent counts how many times.

  3. A descending pattern of powers divides by the base each step.

  4. Continuing the pattern past exponent one shows base^0 = 1.

  5. Parentheses decide whether the negative is part of the base.

Watch out for

  • Multiplying the base by the exponent instead of repeating it.
  • Swapping the roles of base and exponent.
  • Thinking base^0 equals zero.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 2 · 11 skills

Patterns and Relations

Linear Patterns and Graphs

Equations, Inequalities, and Polynomials

The official wording · 11 outcomes
9.PR.1
Generalize a pattern arising from a problem-solving context using linear equations, and verify by substitution.
9.PR.2
Graph linear relations, analyze the graph, and interpolate or extrapolate to solve problems.
9.PR.2
Graph linear relations, analyze the graph, and interpolate or extrapolate to solve problems.
9.PR.3
Model and solve problems using linear equations of the form Q Q ax = b Q Q ax + b = c Q Q ax = b + cx where a, b, c, d, e, and f are rational numbers.
9.PR.3
Model and solve problems using linear equations of the form Q Q a(x + b) = c Q Q ax + b = cx + d Q Q a(bx + c) = d(ex + f) Q Q a — x = b, x ≠ 0 where a, b, c, d, e, and f are rational numbers.
9.PR.4
Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
9.PR.4
Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
9.PR.5
Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).
9.PR.6
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).
9.PR.6
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).
9.PR.7
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

  1. A linear pattern grows by a constant amount each step.

  2. We isolate the variable by preserving equality on both sides.

  3. The equation is verified by substituting values from the pattern.

  4. When the variable is on both sides, we collect like terms first.

  5. A linear relation graphs as a straight line.

Watch out for

  • Writing an equation that fits only one term.
  • Moving a term without changing its sign.
  • Skipping the verification by substitution.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 3 · 8 skills

Shape and Space

Circle Properties

Measurement, Similarity, and Symmetry

The official wording · 8 outcomes
9.SS.1
Solve problems and justify the solution strategy using circle properties, including Q Q the perpendicular from the centre of a circle to a chord bisects the chord
9.SS.1
Solve problems and justify the solution strategy using circle properties, including Q Q the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc Q Q the inscribed angles subtended by the same arc are congruent
9.SS.1
Solve problems and justify the solution strategy using circle properties, including Q Q a tangent to a circle is perpendicular to the radius at the point of tangency
9.SS.2
Determine the surface area of composite 3-D objects to solve problems.
9.SS.3
Demonstrate an understanding of similarity of polygons.
9.SS.4
Draw and interpret scale diagrams of 2-D shapes.
9.SS.5
Demonstrate an understanding of line and rotation symmetry.
9.SS.5
Demonstrate an understanding of line and rotation symmetry.

Key ideas

  1. A perpendicular drawn from the centre to a chord bisects that chord.

  2. A composite object is built from simpler 3-D shapes.

  3. This creates two congruent right triangles inside the circle.

  4. The overlap where shapes join is not part of the surface area.

  5. A central angle is twice any inscribed angle on the same arc.

Watch out for

  • Assuming any line from the centre bisects a chord.
  • Counting the hidden overlap area.
  • Confusing the chord with the diameter.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 4 · 5 skills

Statistics and Probability

Collecting and Analyzing Data

The official wording · 5 outcomes
9.SP.1
Describe the effect of Q Q bias Q Q use of language Q Q ethics Q Q cost Q Q time and timing Q Q privacy Q Q cultural sensitivity on the collection of data.
9.SP.2
Select and defend the choice of using either a population or a sample of a population to answer a question.
9.SP.3
Develop and implement a project plan for the collection, display, and analysis of data by Q Q formulating a question for investigation Q Q choosing a data collection method that includes social considerations Q Q selecting a population or a sample
9.SP.3
Develop and implement a project plan for the collection, display, and analysis of data by Q Q collecting the data Q Q displaying the collected data in an appropriate manner Q Q drawing conclusions to answer the question
9.SP.4
Demonstrate an understanding of the role of probability in society.

Key ideas

  1. Factors like bias, language, ethics, and privacy can distort collected data.

  2. Cost, timing, and cultural sensitivity also shape what data can be gathered.

  3. A population includes everyone; a sample is a representative subset.

  4. Cost, time, and access often make a sample the practical choice.

  5. A project starts with a clear, answerable question.

Watch out for

  • Assuming any collected data is automatically unbiased.
  • Overlooking privacy or cultural-sensitivity concerns.
  • Generalizing from a biased or too-small sample.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

The official curriculum

This page follows Manitoba’s own curriculum for Grade 9 Mathematics (10F).

Grades 9 to 12 Mathematics: Manitoba Curriculum Framework of OutcomesManitoba Education · edu.gov.mb.ca · Read August 1, 2026

Study it in MapleMind

MapleMind teaches Grade 9 Mathematics (10F) 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.

Grade 9 Mathematics (10F) in the MapleMind app on a tablet: its units, Unit 2 open, and the skills done so far with their starsGrade 9 Mathematics (10F) in the MapleMind app on a phone: its units, Unit 2 open, and the skills done so far with their stars
Grade 9 Mathematics (10F) in MapleMind, partway through Unit 2.

Practise it

Course Companion

Your year in one workbook

A fun way to keep Grade 9 Mathematics (10F) 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
29
Fillable fields
1,465
Price
$4.99
See the Course Companion

Questions about Grade 9 Mathematics (10F)

What is Grade 9 Mathematics (10F)?

Manitoba’s Grade 9 math course: 4 units and 34 skills, from Number to Statistics and Probability.

What units are in Grade 9 Mathematics (10F)?

1. Number, 2. Patterns and Relations, 3. Shape and Space and 4. Statistics and Probability.

Is there a provincial exam for Grade 9 Mathematics (10F)?

No. Manitoba gives no provincial exam for Grade 9 Mathematics (10F).

What comes after Grade 9 Mathematics (10F)?

Essential Mathematics, Grade 10 (20S) and Introduction to Applied and Pre-Calculus Mathematics, Grade 10 (20S).

Can MapleMind help with Grade 9 Mathematics (10F)?

Yes. MapleMind teaches every skill of Grade 9 Mathematics (10F), 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.

Before this course

After this course

Get ready for Grade 9 Mathematics (10F)

Practise every skill of Grade 9 Mathematics (10F) in MapleMind, free with daily limits.