Courses

Newfoundland & Labrador · Grade 12

Mathematics 3200

Newfoundland & Labrador’s Grade 12 math course, from Logarithms to Permutations and Combinations.

Learn thisPractice exam
Units
5
Lessons
14
Skills
44
Provincial exam
15% of the final mark
Official curriculum
Government of Newfoundland and Labrador, Department of Education

Unit by unit

Every skill in the course, numbered by unit.

Unit 1 · 3 skills

Logarithms

Understanding Logarithms

The official wording · 3 outcomes
1.1
Explain the relationship between logarithms and exponents
1.2
Determine, without technology, the exact value of a logarithm
1.3
Develop and generalize the laws of logarithms, using numeric examples and exponent laws

Key ideas

  1. A logarithm answers what exponent produces a value.

  2. Every logarithm has an equivalent exponential form.

  3. An exact log value is the exponent that produces the argument.

  4. Benchmarks bracket a log to estimate it.

  5. The log of a product is the sum of the logs.

Watch out for

  • Confusing the base and the argument.
  • Treating a logarithm as a plain fraction.
  • Guessing without checking the exponent.

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

Unit 2 · 7 skills

Polynomial Functions and the Binomial Theorem

Dividing and Factoring Polynomials

Graphing Polynomial Functions

The Binomial Theorem

The official wording · 7 outcomes
2.1
using long division or synthetic division
2.2
Explain and apply the factor theorem to express a polynomial expression as a product of factors
2.3
Explain the role of the constant term and leading coefficient in the equation of a polynomial function with respect to the graph of the function
2.4
Sketch, with or without technology, the graph of a polynomial function
2.5
the x -intercepts of the graph of the polynomial function
2.6
Explain how to determine the subsequent row in Pascal
2.7
Expand, using the binomial theorem

Key ideas

  1. Synthetic division is a shortcut for dividing by x minus a.

  2. Degree parity sets the end behaviour.

  3. Each Pascal entry is the sum of the two above it.

  4. Long division works for any divisor.

  5. The leading coefficient's sign flips the ends.

Watch out for

  • Dropping a missing-degree term's zero coefficient.
  • Confusing odd- and even-degree end behaviour.
  • Off-by-one errors in the row number.

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

Unit 3 · 16 skills

Functions, Transformations, Exponentials and Logarithms

Inverse Functions

Radical Functions

Transformations of Functions

Exponential and Logarithmic Functions

The official wording · 16 outcomes
3.1
Determine if a relation and its inverse are functions
3.2
can be used to sketch the inverse of a relation
3.3
Determine the equation and sketch the graph of the inverse relation, given the equation of a linear or quadratic relation
3.4
using a table of values, and state the domain and range
3.5
by applying transformations to the graph of the function
3.6
Describe the relationship between the roots of a radical equation and the x -intercepts of the graph of the corresponding radical function
3.7
generalize, using inductive reasoning, a rule about the effect of
3.8
generalize, using inductive reasoning, a rule about the effects of
3.9
given the graph of the function
3.10
explain rules for the reflection of the graph of the function
3.11
Determine the solution of an exponential equation for which both sides can be written as rational powers of the same base
3.12
Determine the solution of a logarithmic equation, and verify the solution
3.13
Sketch, with or without technology, a graph of an exponential function of the form
3.14
Solve a problem that involves exponential growth or decay
3.15
Solve a problem that involves logarithmic scales, such as the Richter scale and the pH scale
3.16
Sketch with or without technology, the graph of a logarithmic function of the form

Key ideas

  1. A relation passes the vertical-line test to be a function.

  2. The square-root function needs a non-negative radicand.

  3. The parameter k shifts a graph vertically.

  4. Equal bases let you equate exponents.

  5. The domain and range swap between a relation and its inverse.

Watch out for

  • Assuming every relation is a function.
  • Allowing negative inputs in the domain.
  • Reversing the direction of a horizontal shift.

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

Unit 4 · 14 skills

Trigonometry

Radians and the Unit Circle

Exact Values and Trig Equations

Graphs of Trigonometric Functions

Trigonometric Identities

The official wording · 14 outcomes
4.1
Sketch, in standard position, an angle (positive or negative) when the measure is given in degrees
4.2
Describe the relationship between radian measure and degree measure
4.3
Determine the measures, in degrees or radians, of all angles in a given domain that are coterminal with a given angle in standard position
4.4
Derive the equation of the unit circle from the Pythagorean theorem
4.5
using a unit circle or reference triangle, the exact value of a trigonometric ratio
4.6
Determine, algebraically, the solution of a trigonometric equation
4.7
the measures, in degrees or radians, of the angles in a specified domain, given the value of a trigonometric ratio
4.8
Determine the characteristics (amplitude, domain, period, range and zeros) of the graph of
4.9
Determine how varying the value of
4.10
using transformations, and explain the strategies
4.11
Determine a trigonometric function that models a situation to solve a problem
4.12
Sketch, with or without technology, the graph of
4.13
Explain the difference between a trigonometric identity and a trigonometric equation
4.14
Prove, algebraically, that a trigonometric identity is valid

Key ideas

  1. Positive angles turn counterclockwise; negative angles clockwise.

  2. Special angles have exact ratios from reference triangles.

  3. Amplitude is the height from the midline to a peak.

  4. An identity is true for all permissible angles.

  5. One radian is a little under 60 degrees.

Watch out for

  • Turning a positive angle clockwise.
  • Mixing up the 30- and 60-degree values.
  • Confusing amplitude with period.

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

Unit 5 · 4 skills

Permutations and Combinations

Counting and Permutations

Combinations

The official wording · 4 outcomes
5.1
Solve a simple counting problem by applying the Fundamental Counting Principle
5.2
Determine, using a variety of strategies, the number of permutations of
5.3
Solve problems involving permutations with constraints
5.4
Determine the number of combinations of

Key ideas

  1. Independent choices multiply, not add.

  2. A combination counts selections where order does not matter.

  3. Tree diagrams organize the possibilities.

  4. Choosing r from n equals choosing the n minus r left out.

  5. A permutation counts arrangements where order matters.

Watch out for

  • Adding the number of choices instead of multiplying.
  • Counting order in a combination.
  • Double-counting outcomes.

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

The exam

The mark you need

Your class mark counts for 85% of the final mark, the exam for 15%.

You need

42% on the exam

With 75% in class, your final mark lands between 63.8% (0 on the exam) and 78.8% (100% on it).

Which course?

Newfoundland & Labrador has 4 math courses for Grade 12. Here they are side by side.

What a university, college or program asks for is theirs to say: check its admission page, and your school’s course guide.

The official curriculum

This page follows Newfoundland & Labrador’s own curriculum for Mathematics 3200.

Mathematics 3200Government of Newfoundland and Labrador, Department of Education · gov.nl.ca · Read August 7, 2026

Study it in MapleMind

MapleMind teaches Mathematics 3200 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.

Mathematics 2201 (Academic) in the MapleMind app on a tablet: its units, Unit 1 open, and the skills done so far with their starsMathematics 2201 (Academic) in the MapleMind app on a phone: its units, Unit 1 open, and the skills done so far with their stars
Pictured: Mathematics 2201 (Academic), another Newfoundland & Labrador course, partway through Unit 1.

Practise it

Course Companion

Your year in one workbook

A fun way to keep Mathematics 3200 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
33
Fillable fields
1,678
Price
$4.99
See the Course Companion

Questions about Mathematics 3200

What is Mathematics 3200?

Newfoundland & Labrador’s Grade 12 math course: 5 units and 44 skills, from Logarithms to Permutations and Combinations.

What units are in Mathematics 3200?

1. Logarithms, 2. Polynomial Functions and the Binomial Theorem, 3. Functions, Transformations, Exponentials and Logarithms, 4. Trigonometry and 5. Permutations and Combinations.

Is there a provincial exam for Mathematics 3200?

Yes. The Mathematics 3200 Public Exam counts for 15% of the final mark. Next sitting: January 25, 2027.

Can MapleMind help with Mathematics 3200?

Yes. MapleMind teaches every skill of Mathematics 3200, 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

Get ready for Mathematics 3200

Practise every skill of Mathematics 3200 in MapleMind, free with daily limits.