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The official Newfoundland and Labrador Mathematics 3200 curriculum
Newfoundland and Labrador defines Mathematics 3200 by strands and outcomes. MapleMind teaches the same curriculum reorganized for one-skill-at-a-time tutoring — the table shows exactly where every official strand lands, and the ministry's own wording is quoted under each unit below.
Official source Newfoundland and Labrador's official curriculumRead it on the government site — gov.nl.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand N | 3 | Logarithms |
| PAR | 23 | Polynomial Functions and the Binomial Theorem · Functions, Transformations, Exponentials and Logarithms |
| SAS | 14 | Trigonometry |
| SAP | 4 | Permutations and Combinations |
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How MapleMind teaches Mathematics 3200 — every unit, lesson, and skill
Every skill below runs as a short session: a plain-words lesson, a worked example, solving it together, then a five-question skill check that earns up to three stars. Guided Mode keeps it teaching instead of answer-handing — turning it off needs a parent's password.
Unit 1LogarithmsOfficial strand · Strand N
The relationship between logarithms and exponents, and the laws of logarithms.
Understanding Logarithms
- Logarithms and exponentsN.1.1 — Explain the relationship between logarithms and exponents, convert between logarithmic and exponential equations, and find exact and estimated values of logarithms.
- Exact and estimated log valuesN.1.3 — Determine the exact value of a logarithm without technology, estimate a logarithm using benchmarks, and approximate a logarithm with technology.
- The laws of logarithmsN.1.5 — Develop, generalize, and derive the laws of logarithms from exponent laws, and use them to write equivalent logarithmic expressions.
The official wording — 3 outcomes in this unit
- N.1.1
Explain the relationship between logarithms and exponents
- N.1.3
Determine, without technology, the exact value of a logarithm
- N.1.5
Develop and generalize the laws of logarithms, using numeric examples and exponent laws
Unit 2Polynomial Functions and the Binomial TheoremOfficial strand · PAR
Dividing and factoring polynomials, graphing polynomial functions, and expanding binomials.
Dividing and Factoring Polynomials
- Polynomial and synthetic divisionPAR.3.2 — Divide a polynomial by a binomial using long or synthetic division, and explain how the two methods are related.
- Remainder and factor theoremsPAR.3.4 — Explain the remainder theorem, apply the factor theorem to write a polynomial as a product of factors, and relate linear factors to the zeros of the function.
Graphing Polynomial Functions
- Graphs of polynomial functionsPAR.3.7 — Explain how the leading coefficient and constant term affect a polynomial graph, generalize rules for odd and even degree, and relate zeros, roots, and x-intercepts.
- Sketching and modelling polynomialsPAR.3.11 — Sketch a polynomial function using its zeros and their multiplicity, determine the equation from a graph, and model a situation with a polynomial function.
- Zeros and multiplicityPAR.3.9 — Explain the relationship among the zeros of a polynomial function, the roots of its equation, and the x-intercepts of its graph, and how the multiplicity of a zero affects the graph.
The Binomial Theorem
- Pascal's triangle and coefficientsPAR.3.15 — Explain the patterns in expanding a binomial power, build Pascal's triangle, and relate its rows and combinations to the binomial coefficients.
- The binomial theoremPAR.3.18 — Expand a binomial power using the binomial theorem, and determine a specific term in a binomial expansion.
The official wording — 7 outcomes in this unit
- PAR.3.2
using long division or synthetic division
- PAR.3.4
Explain and apply the factor theorem to express a polynomial expression as a product of factors
- PAR.3.7
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
- PAR.3.11
Sketch, with or without technology, the graph of a polynomial function
- PAR.3.9
the x -intercepts of the graph of the polynomial function
- PAR.3.15
Explain how to determine the subsequent row in Pascal
- PAR.3.18
Expand, using the binomial theorem
Unit 3Functions, Transformations, Exponentials and LogarithmsOfficial strand · PAR
Inverses, radical functions, the transformation toolkit, and exponential and logarithmic functions and equations.
Inverse Functions
- Relations, functions, and inversesPAR.4.1 — Determine whether a relation and its inverse are functions, and explain the relationship between the domains and ranges of a relation and its inverse.
- Sketching inverse relationsPAR.4.2 — Use the transformation swapping x and y and the line y = x to sketch the inverse of a relation, and determine whether a relation and its inverse are functions.
- Equations of inverse functionsPAR.4.5 — Determine the equation and graph of the inverse of a linear or quadratic relation, test algebraically whether two functions are inverses, and find domain restrictions that make an inverse a function.
Radical Functions
- Domain and range of a radical functionPAR.4.10 — Sketch the basic square-root function from a table of values and state its domain and range, and compare the domain and range of a function to a related radical function.
- Graphing radical functionsPAR.4.11 — Sketch the basic square-root function and its transformations, state domain and range, and sketch a radical function derived from a given function.
- Solving radical equations graphicallyPAR.4.25 — Describe the relationship between the roots of a radical equation and the x-intercepts of the radical function, and determine an approximate solution graphically.
Transformations of Functions
- Translations of functionsPAR.4.15 — Compare functions translated horizontally and vertically to the base function, generalize the effect of h and k, and write the equation of a translated function.
- Stretches of functionsPAR.4.20 — Compare functions stretched by the a and b parameters to the base function, generalize their effects, sketch combined stretches, and write the equation of a stretched function.
- Combined transformationsPAR.4.23 — Sketch the graph of a function that applies translation and stretch together to a base function, and write the equation of a combined transformation.
- Reflections of functionsPAR.4.42 — Generalize and apply the rules for reflecting a function graph through the x-axis, the y-axis, and the line y = x, and write the equation of a reflected function.
Exponential and Logarithmic Functions
- Solving exponential equationsPAR.4.27 — Solve exponential equations by matching bases and by other strategies when bases differ, and solve growth, decay, loan, and investment problems.
- Solving logarithmic equationsPAR.4.32 — Solve and verify logarithmic equations, explain why a value may be extraneous, and solve problems that involve logarithmic scales such as the Richter and pH scales.
- Graphs of exponential and log functionsPAR.4.35 — Sketch exponential and logarithmic functions and their transformations, show they are inverses of each other, and identify domain, range, asymptotes, and intercepts.
- Exponential growth and decayPAR.4.29 — Solve problems that involve exponential growth or decay and model situations with an exponential or logarithmic equation.
- Logarithmic scalesPAR.4.34 — Solve problems that involve logarithmic scales such as the Richter scale and the pH scale.
- Graphs of logarithmic functionsPAR.4.38 — Sketch a logarithmic function and its transformations, and identify its domain, range, vertical asymptote, and intercepts.
The official wording — 16 outcomes in this unit
- PAR.4.1
Determine if a relation and its inverse are functions
- PAR.4.2
can be used to sketch the inverse of a relation
- PAR.4.5
Determine the equation and sketch the graph of the inverse relation, given the equation of a linear or quadratic relation
- PAR.4.10
using a table of values, and state the domain and range
- PAR.4.11
by applying transformations to the graph of the function
- PAR.4.25
Describe the relationship between the roots of a radical equation and the x -intercepts of the graph of the corresponding radical function
- PAR.4.15
generalize, using inductive reasoning, a rule about the effect of
- PAR.4.20
generalize, using inductive reasoning, a rule about the effects of
- PAR.4.23
given the graph of the function
- PAR.4.42
explain rules for the reflection of the graph of the function
- PAR.4.27
Determine the solution of an exponential equation for which both sides can be written as rational powers of the same base
- PAR.4.32
Determine the solution of a logarithmic equation, and verify the solution
- PAR.4.35
Sketch, with or without technology, a graph of an exponential function of the form
- PAR.4.29
Solve a problem that involves exponential growth or decay
- PAR.4.34
Solve a problem that involves logarithmic scales, such as the Richter scale and the pH scale
- PAR.4.38
Sketch with or without technology, the graph of a logarithmic function of the form
Unit 4TrigonometryOfficial strand · SAS
Radian measure and the unit circle, exact values and equations, sinusoidal and tangent graphs, and identities.
Radians and the Unit Circle
- Angles in standard positionSAS.7.1 — Sketch positive and negative angles in standard position given in degrees, and sketch an angle of one radian.
- Radian and degree measureSAS.7.3 — Sketch angles in standard position in degrees and radians, describe the relationship between the two measures, and convert between them.
- Coterminal angles and arc lengthSAS.7.7 — Determine coterminal angles and their general form in degrees or radians, and relate radian measure to arc length on a circle to solve problems.
- The unit circle and trig ratiosSAS.7.10 — Derive the equation of the unit circle from the Pythagorean theorem, generalize the equation of a circle, and describe the six trigonometric ratios using a point on the unit circle.
Exact Values and Trig Equations
- Exact trig valuesSAS.7.14 — Determine the exact value of a trigonometric ratio for special angles using the unit circle or a reference triangle, and find the other ratios given one ratio.
- Solving trigonometric equationsSAS.7.34 — Solve trigonometric equations algebraically and with technology, verify solutions, correct errors, and relate the general solution to the zeros of the function.
- Angles from a trig ratioSAS.7.16 — Determine the measures of angles in a specified domain given the value of a trigonometric ratio or a point on the terminal arm, and solve problems using trigonometric ratios.
Graphs of Trigonometric Functions
- Sine and cosine graphsSAS.7.21 — Sketch the basic sine and cosine graphs and determine their amplitude, period, domain, range, and zeros.
- Effects of the sinusoidal parametersSAS.7.22 — Determine how varying a, b, k, and h affects the graph of a sine or cosine function's amplitude, period, midline, and phase.
- Transforming sinusoidal functionsSAS.7.26 — Sketch sinusoidal functions in the form y = a sin b(x - h) + k using transformations, determine amplitude, period, phase shift, range, and zeros, and write the equation from a graph.
- Modelling with sinusoidal functionsSAS.7.31 — Determine a trigonometric function that models a situation, relate the graph's characteristics to the problem, and solve the problem by analyzing the graph.
- The tangent graphSAS.7.32 — Sketch the graph of the tangent function and determine its asymptotes, domain, period, range, and zeros.
Trigonometric Identities
- Identities vs equationsSAS.7.39 — Explain the difference between a trigonometric identity and an equation, determine non-permissible values, and verify an identity numerically and graphically.
- Proving and using identitiesSAS.7.43 — Prove a trigonometric identity algebraically, simplify trigonometric expressions with identities, and find exact values using sum, difference, and double-angle identities.
The official wording — 14 outcomes in this unit
- SAS.7.1
Sketch, in standard position, an angle (positive or negative) when the measure is given in degrees
- SAS.7.3
Describe the relationship between radian measure and degree measure
- SAS.7.7
Determine the measures, in degrees or radians, of all angles in a given domain that are coterminal with a given angle in standard position
- SAS.7.10
Derive the equation of the unit circle from the Pythagorean theorem
- SAS.7.14
using a unit circle or reference triangle, the exact value of a trigonometric ratio
- SAS.7.34
Determine, algebraically, the solution of a trigonometric equation
- SAS.7.16
the measures, in degrees or radians, of the angles in a specified domain, given the value of a trigonometric ratio
- SAS.7.21
Determine the characteristics (amplitude, domain, period, range and zeros) of the graph of
- SAS.7.22
Determine how varying the value of
- SAS.7.26
using transformations, and explain the strategies
- SAS.7.31
Determine a trigonometric function that models a situation to solve a problem
- SAS.7.32
Sketch, with or without technology, the graph of
- SAS.7.39
Explain the difference between a trigonometric identity and a trigonometric equation
- SAS.7.43
Prove, algebraically, that a trigonometric identity is valid
Unit 5Permutations and CombinationsOfficial strand · SAP
Counting with the fundamental counting principle, permutations, and combinations.
Counting and Permutations
- The fundamental counting principleSAP.9.3 — Count choices using lists and tree diagrams, explain why choices multiply, and apply the fundamental counting principle to solve counting problems.
- PermutationsSAP.9.6 — Determine permutations of n elements taken r at a time in factorial notation, explain the n greater than or equal to r restriction, solve for n or r, and handle identical elements and constraints.
- Permutations with constraintsSAP.9.10 — Explain the effect of identical elements on the number of permutations, and solve problems involving permutations with constraints.
Combinations
- CombinationsSAP.9.12 — Explain the difference between a permutation and a combination, determine combinations of n elements taken r at a time, explain the symmetry property, and solve for n or r.
The official wording — 4 outcomes in this unit
- SAP.9.3
Solve a simple counting problem by applying the Fundamental Counting Principle
- SAP.9.6
Determine, using a variety of strategies, the number of permutations of
- SAP.9.10
Solve problems involving permutations with constraints
- SAP.9.12
Determine the number of combinations of
Printable workbook · A keepsake of the year
A Mathematics 3200 workbook worth keeping
Built from the same official curriculum as this page. Before and after each skill above, your student colours in how sure they feel — so the two of you can see, on one page, what's clicking and what needs another look. It's a quiet way to follow how the year is really going.
By June it's full of their own handwriting: units worked through, confidence grown, a mid-year check-in, notes from parent-teacher night, and a certificate at the end. Less a worksheet, more a record of the year worth keeping on the shelf.
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Can MapleMind help me with Mathematics 3200?
Yes. MapleMind's AI tutor covers all 44 skills in Newfoundland and Labrador's Mathematics 3200 — you pick the exact skill, and the tutor teaches it step by step: a short lesson, a worked example, solving together, then a skill check to show it stuck.
Is MapleMind aligned to Newfoundland and Labrador's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Newfoundland and Labrador's Grade 12 Mathematics curriculum, and the ministry's own wording is quoted under each unit on this page — with the official government source linked so you can check it yourself.
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Where can I see the official Newfoundland and Labrador curriculum for Mathematics 3200?
The official source is linked on this page — Newfoundland and Labrador's official curriculum. The outline here follows it: every MapleMind skill carries its official outcome code, and the ministry's own wording is quoted under each unit.
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