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The official New Brunswick Foundations of Mathematics 110 curriculum
New Brunswick defines Foundations of Mathematics 110 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 New Brunswick's official K-12 education resourcesRead it on the government site — www2.gnb.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand LR | 2 | Logical Reasoning |
| Strand G | 3 | Geometry |
| Strand RF | 2 | Relations and Functions |
| Strand N | 3 | Number |
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How MapleMind teaches Foundations of Mathematics 110 — 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 1Logical ReasoningOfficial strand · Strand LR
Inductive and deductive reasoning to make and prove conjectures, analyze the validity of arguments, and use numerical-reasoning strategies to solve puzzles and games.
Making and proving conjectures
- Making conjectures by inductive reasoningLR1 — Use inductive reasoning to observe patterns in examples and state a general conjecture about them.
- Proving conjectures deductivelyLR1 — Prove a conjecture deductively by reasoning from definitions and known facts to a general conclusion.
- Finding the error in a false proofLR1 — Analyze a flawed argument or 'proof' to identify the invalid step or hidden error in reasoning.
Puzzles and games: numerical reasoning
- Finding a strategy in a number puzzle or gameLR2 — Determine, explain, and verify a strategy to solve a numerical puzzle or to win a mathematical game.
- Justifying a puzzle solutionLR2 — Explain and justify why a puzzle solution or game strategy always works, using numerical reasoning.
The official wording — 2 outcomes in this unit
- LR1
Analyze and prove conjectures using logical reasoning
- LR2
Analyze puzzles and games that involve numerical reasoning, using problem-solving strategies
Unit 2GeometryOfficial strand · Strand G
Deriving proofs about the properties of angles and triangles, solving angle and triangle problems, and solving oblique triangles with the sine law and cosine law, including the ambiguous case.
Deriving proofs of angle and triangle properties
- Proving angle relationshipsG1 — Derive proofs of angle relationships such as vertically opposite, supplementary, and parallel-line angle pairs.
- Proving triangle propertiesG1 — Derive proofs of triangle properties such as the angle-sum, the exterior-angle theorem, and isosceles-triangle base angles.
- Structuring a formal geometric proofG1 — Structure a formal geometric proof for a multi-step figure, organizing statements with justified reasons.
Solving angle and triangle problems
- Solving angle problemsG2 — Solve for unknown angles using vertically opposite, supplementary, and parallel-line angle relationships.
- Solving triangle problemsG2 — Solve for unknown angles and sides using the triangle angle-sum, exterior-angle, and isosceles properties.
- Multi-step angle and triangle problems in contextG2 — Solve multi-step problems in context that combine parallel-line, triangle, and angle properties.
The sine law and cosine law
- Solving triangles with the sine lawG3 — Use the sine law to find unknown sides and angles in oblique triangles given appropriate angle-side pairs.
- Solving triangles with the cosine lawG3 — Use the cosine law to find unknown sides and angles when two sides and the included angle, or all three sides, are known.
- The ambiguous case of the sine lawG3 — Analyze the ambiguous case (SSA) of the sine law, determining whether zero, one, or two triangles are possible.
The official wording — 3 outcomes in this unit
- G1
Derive proofs that involve the properties of angles
- G2
Solve problems that involve the properties of angles
- G3
Solve problems that involve the cosine law and the sine law
Unit 3Relations and FunctionsOfficial strand · Strand RF
Modelling and solving problems with systems of linear inequalities in two variables, and analyzing the characteristics of quadratic functions.
Systems of linear inequalities
- Graphing a single linear inequalityRF1 — Graph a single linear inequality in two variables, shading the correct half-plane and using solid or dashed boundaries.
- Solving a system of linear inequalitiesRF1 — Graph two or more linear inequalities and identify the region satisfying all of them at once.
- Modelling a real situation with inequalitiesRF1 — Model a real-world constraint problem as a system of linear inequalities and interpret the feasible region.
Characteristics of quadratic functions
- Vertex and axis of symmetryRF2 — Determine the vertex and axis of symmetry of a quadratic function and interpret the vertex as a maximum or minimum.
- Intercepts and rootsRF2 — Determine the x-intercepts (roots) and y-intercept of a quadratic function and relate them to its graph.
- Domain and rangeRF2 — State the domain and range of a quadratic function using its vertex and direction of opening.
- Modelling with quadratic functionsRF2 — Use the characteristics of a quadratic function to model and solve a real situation such as maximum height or area.
The official wording — 2 outcomes in this unit
- RF1
problems that involve systems of linear inequalities in two variables
- RF2
characteristics of quadratic functions, including vertex, intercepts, domain and range, axis of symmetry
Unit 4NumberOfficial strand · Strand N
Financial decision-making: comparing the costs and benefits of renting, leasing and buying; analyzing an investment portfolio; and solving problems that involve personal budgets.
Renting, leasing and buying
- Comparing the costs of renting, leasing and buyingN1 — Calculate and compare the total costs of renting, leasing, and buying an asset over a given period.
- Justifying a rent-lease-buy decisionN1 — Weigh the non-cost benefits and drawbacks of renting, leasing, and buying to justify a decision for a situation.
Analyzing an investment portfolio
- Interest rate, rate of return, and total returnN2 — Calculate the interest rate, rate of return, and total return of individual investments in a portfolio.
- Evaluating a portfolio's performanceN2 — Evaluate and compare the investments in a portfolio, weighing return against risk to assess overall performance.
- Diversifying a portfolioN2 — Analyze how diversifying an investment portfolio across several holdings affects its total return and overall risk.
Personal budgets
- Building a personal budgetN3 — Build a personal budget by listing income and categorizing fixed and variable expenses to see if it balances.
- Adjusting a budget to meet a goalN3 — Adjust a personal budget to meet a savings goal or absorb an income or expense change.
The official wording — 3 outcomes in this unit
- N1
Analyze costs and benefits of renting, leasing and buying
- N2
Analyze an investment portfolio in terms of interest rate, rate of return, total return
- N3
Solve problems that involve personal budgets
Printable workbook · A keepsake of the year
A Foundations of Mathematics 110 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.
Instant download · see every page, reviews and the full description · five or more workbooks are $2.99 each
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Common questions
Can MapleMind help me with Foundations of Mathematics 110?
Yes. MapleMind's AI tutor covers all 28 skills in New Brunswick's Foundations of Mathematics 110 — 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 New Brunswick's official curriculum?
Yes. Every skill in this course maps to an official outcome code from New Brunswick's Grade 11 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.
What does MapleMind cost?
It's free to start — 5 tutoring chats and a practice quiz every day, no credit card. A Pro subscription ($9.99/month or $49.99/year CAD, 7-day free trial) unlocks unlimited tutoring, practice, and exam simulations.
What if I'm stuck on just one topic?
That's the point of skill-level tutoring: open Foundations of Mathematics 110 in the app, tap the exact skill from the list on this page, and the tutor teaches just that — no wading through lessons you don't need.
Does MapleMind work in French or other languages?
Yes — 14 languages, including French. Both the app and the tutor's explanations switch to the language you choose.
Where can I see the official New Brunswick curriculum for Foundations of Mathematics 110?
The official source is linked on this page — New Brunswick's official K-12 education resources. 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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