Nova Scotia · Grade 11

Mathematics 11

Nova Scotia’s Grade 11 math course, from Geometry to Relations and Functions.

Units
4
Lessons
8
Skills
26
Provincial exam
None

Unit by unit

Every skill in the course, with its official code.

Unit 1 · 7 skills

Geometry

Properties of angles and triangles

  • Angles from parallel lines and transversals

    I can find angles formed by parallel lines cut by a transversal.

  • Triangle angle-sum and exterior angles

    I can find unknown triangle angles using the angle-sum and exterior-angle rules.

  • Similar and congruent triangles

    I can use similarity and congruence to find missing sides and angles.

  • Solving angle and triangle problems

    I can solve multi-step angle and triangle problems and check others' work.

The sine law and cosine law

The official wording · 7 outcomes
G02
solve problems that involve the properties of angles and triangles
G02
the properties of angles and triangles
G02
the properties of angles and triangles
G02
solve problems that involve the properties of angles and triangles
G03
solve problems that involve the cosine law and the sine law
G03
problems that involve the cosine law and the sine law
G03
solve problems that involve the cosine law and the sine law

Key ideas

  1. Corresponding angles are equal; alternate angles are equal; co-interior angles are supplementary.

  2. The sine law relates each side to the sine of its opposite angle: a/sin A = b/sin B = c/sin C.

  3. These relationships hold only when the two lines are parallel.

  4. Use it when you know an angle and its opposite side plus one more piece.

  5. Naming the relationship justifies each angle measure you claim.

Watch out for

  • Assuming angle relationships hold when the lines are not parallel.
  • Pairing a side with an angle that is not opposite it.
  • Confusing alternate (equal) with co-interior (supplementary) angles.

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

Unit 2 · 4 skills

Logical Reasoning

Conjectures, reasoning, and proof

  • Inductive reasoning and conjectures

    I can make a conjecture from a pattern and explain the limits of inductive reasoning.

  • Inductive versus deductive reasoning

    I can distinguish inductive from deductive reasoning and disprove with a counterexample.

  • Deductive proof of relationships

    I can construct a deductive proof and judge an argument's validity.

  • Testing validity and solving reasoning problems

    I can judge an argument's validity and solve a reasoning problem.

The official wording · 4 outcomes
LR01
analyze and prove conjectures, using inductive and deductive reasoning
LR01
using inductive and deductive reasoning, to solve problems
LR01
analyze and prove conjectures, using inductive and deductive reasoning, to solve problems
LR01
using inductive and deductive reasoning, to solve problems

Key ideas

  1. Inductive reasoning generalizes from observed cases to a conjecture.

  2. A conjecture is a reasoned guess, not yet proven.

  3. No number of confirming cases proves a conjecture — a single counterexample disproves it.

  4. Deductive reasoning draws a guaranteed conclusion from accepted facts.

  5. Inductive reasoning suggests; deductive reasoning proves.

Watch out for

  • Treating many confirming examples as a proof.
  • Stating a conjecture without identifying the pattern it rests on.
  • Calling a general proof 'inductive' because it used an example to illustrate.

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

Unit 3 · 8 skills

Statistics

The normal distribution

Confidence intervals and margin of error

  • Confidence levels and margin of error

    I can explain confidence level, margin of error, and how sample size affects them.

  • Making inferences from sample data

    I can make and support inferences from sample data using confidence intervals.

  • Interpreting statistics in the media

    I can interpret confidence intervals and margin of error reported in the media.

Society's use of inferential statistics

The official wording · 8 outcomes
S01
demonstrate an understanding of normal distribution, including standard deviation
S01
demonstrate an understanding of normal distribution
S01
including standard deviation and z-scores
S01
demonstrate an understanding of normal distribution, including standard deviation
S02
interpret statistical data, using confidence intervals, confidence levels, and margin of error
S02
interpret statistical data, using confidence intervals
S02
interpret statistical data, using confidence intervals, confidence levels, and margin of error
S03
critically analyze society’s use of inferential statistics

Key ideas

  1. Standard deviation measures how spread out data is around the mean.

  2. The confidence level is how often the interval would capture the true value on repeated sampling.

  3. Statistical claims can mislead through biased samples, loaded questions, or missing context.

  4. A normal curve is symmetric and bell-shaped, centred on the mean.

  5. Margin of error is the interval's half-width around the sample estimate.

Watch out for

  • Confusing standard deviation with the range or the mean.
  • Reading the margin of error as a guarantee about a single poll.
  • Accepting a statistic because it has a precise-looking number.

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

Unit 4 · 7 skills

Relations and Functions

Systems of linear inequalities

  • Graphing systems of linear inequalities

    I can graph a system of linear inequalities and identify the solution region.

  • Optimization with linear programming

    I can solve an optimization problem using the feasible region's vertices.

Characteristics of quadratic functions

The official wording · 7 outcomes
RF01
model and solve problems that involve systems of linear inequalities in two variables
RF01
solve problems that involve systems of linear inequalities in two variables
RF02
demonstrate an understanding of the characteristics of quadratic functions, including vertex, intercepts
RF02
characteristics of quadratic functions, including vertex, intercepts, domain and range, and axis of symmetry
RF02
characteristics of quadratic functions, including vertex, intercepts, domain and range, and axis of symmetry
RF02
characteristics of quadratic functions
RF02
characteristics of quadratic functions, including vertex, intercepts

Key ideas

  1. Each inequality's boundary line splits the plane into two half-planes.

  2. The x-intercepts of a quadratic's graph are the roots of the corresponding equation.

  3. A test point decides which side satisfies the inequality.

  4. Roots can be found by factoring or with the quadratic formula.

  5. A solid line includes the boundary (≤ or ≥); a broken line excludes it (< or >).

Watch out for

  • Shading the wrong half-plane without a test point.
  • Confusing the y-intercept with an x-intercept.
  • Using a solid line for a strict inequality.

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

The official curriculum

This page follows Nova Scotia’s own curriculum for Mathematics 11.

Study it in MapleMind

MapleMind teaches Mathematics 11 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.

Citizenship 9 in the MapleMind app on a tablet: its units, Unit 2 open, and the skills done so far with their starsCitizenship 9 in the MapleMind app on a phone: its units, Unit 2 open, and the skills done so far with their stars
Pictured: Citizenship 9, another Nova Scotia course, partway through Unit 2.

Practise it

Course Companion

Your year in one workbook

A fun way to keep Mathematics 11 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
28
Fillable fields
1,349
Price
$4.99
See the Course Companion

Questions about Mathematics 11

What is Mathematics 11?

Nova Scotia’s Grade 11 math course: 4 units and 26 skills, from Geometry to Relations and Functions.

What units are in Mathematics 11?

1. Geometry, 2. Logical Reasoning, 3. Statistics and 4. Relations and Functions.

Is there a provincial exam for Mathematics 11?

No. Nova Scotia gives no provincial exam for Mathematics 11.

What comes after Mathematics 11?

Mathematics 12, Pre-Calculus 12, Calculus 12 and Mathematics at Work 12.

Can MapleMind help with Mathematics 11?

Yes. MapleMind teaches every skill of Mathematics 11, 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 11

Practise every skill of Mathematics 11 in MapleMind, free with daily limits.