Get help with Essential Mathematics, Grade 12 (40S)
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The official Manitoba Essential Mathematics, Grade 12 (40S) curriculum
Manitoba defines Essential Mathematics, Grade 12 (40S) 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 Manitoba's official curriculumRead it on the government site — edu.gov.mb.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand A | 2 | Analysis of Games and Numbers |
| Strand V | 1 | Vehicle Finance |
| Strand S | 2 | Statistics |
| Strand P | 2 | Precision Measurement · Probability |
| Strand C | 1 | Career Life |
| Strand H | 1 | Home Finance |
| Strand G | 2 | Geometry and Trigonometry |
| Strand B | 2 | Business Finance |
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How MapleMind teaches Essential Mathematics, Grade 12 (40S) — 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 1Analysis of Games and NumbersOfficial strand · Strand A
Analyzing puzzles and games that involve logical reasoning using problem-solving strategies.
Puzzles and Games
- Strategies for puzzles and games12E5.A.1 — Determine, explain, and verify a strategy to solve a puzzle or win a game using problem-solving strategies, correct errors in a strategy, and create a variation on a puzzle or game.
Puzzles and Games in a New Context
- Applying strategies to a new game12E6.A.1 — Apply and verify a problem-solving strategy in a new logic-game context, transferring the reasoning practised earlier to an unfamiliar puzzle.
The official wording — 2 outcomes in this unit
- 12E5.A.1
Analyze puzzles and games that involve logical reasoning, using problem-solving strategies.
- 12E6.A.1
Analyze puzzles and games that involve logical reasoning, using problem-solving strategies.
Unit 2Vehicle FinanceOfficial strand · Strand V
The acquisition, operation, and maintenance of a vehicle when buying, leasing, or leasing to buy.
Acquiring a Vehicle
- Buying, leasing, or leasing to buy12E5.V.1 — Describe and explain the options for buying, leasing, or leasing to buy a vehicle, and determine the costs associated with each for a new or used vehicle.
- Operating and insuring a vehicle12E5.V.1 — Determine the costs of operating a vehicle, including regular maintenance, repairs, fuel consumption, and depreciation, and the cost of insuring the vehicle for various uses.
- Justifying a vehicle decision12E5.V.1 — Justify a decision to buy, lease, or lease to buy a vehicle based on factors such as personal finances, intended use, maintenance, warranties, mileage, insurance, and safety.
The official wording — 1 outcome in this unit
- 12E5.V.1
Solve problems that involve the acquisition, operation, and maintenance of a vehicle, when Q Q buying Q Q leasing Q Q leasing to buy
Unit 3StatisticsOfficial strand · Strand S
Measures of central tendency (including weighted and trimmed mean) and percentiles.
Central Tendency
- Mean, median, mode, and outliers12E5.S.1 — Determine the mean, median, and mode for a data set, explain each measure's advantages and disadvantages, identify outliers, and explain their effect on each measure.
- Weighted and trimmed mean12E5.S.1 — Determine the weighted mean of a data set with justified weightings, and determine the trimmed mean by justifying the removal of outliers.
Percentiles
- Understanding percentiles12E5.S.2 — Explain, using examples, what a percentile rank means, how it differs from a percent, and its relationship to the median.
- Percentile rank and decisions12E5.S.2 — Determine the percentile rank of a given score using a formula, and explain decisions based on a given percentile rank in a context.
The official wording — 2 outcomes in this unit
- 12E5.S.1
Solve problems that involve measures of central tendency, including Q Q mean Q Q median Q Q mode
- 12E5.S.2
Analyze and describe percentiles.
Unit 4Precision MeasurementOfficial strand · Strand P
The limitations of measuring instruments: precision, accuracy, uncertainty, and tolerance.
Precision, Accuracy, and Tolerance
- Precision versus accuracy12E5.P.1 — Explain why precision and accuracy are required in given contexts, explain the difference between them with examples, and compare the accuracy of two instruments measuring the same attribute.
- Uncertainty and tolerance12E5.P.1 — Relate the degree of accuracy to the uncertainty of a measure, determine maximum and minimum values using a tolerance, and describe the limitations of trade instruments such as a micrometer or Vernier caliper.
The official wording — 1 outcome in this unit
- 12E5.P.1
Demonstrate an understanding of the limitations of measuring instruments, including Q Q precision Q Q accuracy
Unit 5Career LifeOfficial strand · Strand C
Creating a plan for the future, including possible career choices and their requirements.
Planning for a Career
- Choosing a career and preparing a resume12E5.C.1 — Describe the factors important in selecting a career, including job description, educational requirements and costs, aptitude, values, salary, and advancement, and prepare a resume for a career choice.
- Budgeting for a career and lifestyle12E5.C.1 — Prepare a monthly budget for the preparatory period and for the lifestyle achievable in a chosen career, and analyze the lifestyle that career could entail.
The official wording — 1 outcome in this unit
- 12E5.C.1
Create a plan for the future, including possible career choices and their requirements.
Unit 6Home FinanceOfficial strand · Strand H
The purchase and maintenance of a house, including mortgages, insurance, property tax, and feasibility.
Buying and Maintaining a Home
- Mortgages and purchase costs12E6.H.1 — Solve problems involving mortgages, and describe the costs of purchasing a home such as closing costs, land transfer tax, lawyer's fees, and moving expenses.
- Home insurance and owning versus renting12E6.H.1 — Solve problems involving home insurance options, compare the benefits of owning and renting a house, and discuss energy-efficiency options and their impact on housing costs.
- Property tax, maintenance, and feasibility12E6.H.1 — Determine the property tax for a house, discuss maintenance and preventative-versus-emergency repair costs, and determine the economic feasibility of a home purchase using the Gross Debt Service Ratio.
The official wording — 1 outcome in this unit
- 12E6.H.1
Solve problems involving the purchase and maintenance of a house.
Unit 7Geometry and TrigonometryOfficial strand · Strand G
The sine and cosine laws and the properties of triangles, quadrilaterals, and regular polygons.
Sine and Cosine Law
- Solving triangles with the sine and cosine law12E6.G.1 — Identify uses of the sine law and cosine law in construction and trades, and solve a problem using the sine law or cosine law when a diagram is given, excluding the ambiguous case.
Polygon Properties
- Triangles and quadrilaterals12E6.G.2 — Describe and illustrate the properties of triangles (isosceles, equilateral) and quadrilaterals in terms of angle measures, side lengths, diagonals, and angles of intersection.
- Regular polygons and applications12E6.G.2 — Describe and illustrate the properties of regular polygons, and identify and solve a contextual problem applying polygon properties in construction, industrial, or artistic contexts.
The official wording — 2 outcomes in this unit
- 12E6.G.1
Solve problems by using the sine law and cosine law, excluding the ambiguous case.
- 12E6.G.2
Solve problems that involve Q Q triangles Q Q quadrilaterals Q Q regular polygons
Unit 8Business FinanceOfficial strand · Strand B
The viability of small-business options and the taxation forms and procedures of owning a business.
Small Business Viability
- Business expenses and feasible options12E6.B.1 — Identify the expenses of operating a small business, identify feasible small-business options for a community, and generate options that might improve profitability.
- Break-even and profitability12E6.B.1 — Determine the break-even point for a small business, and explain factors such as seasonal variations and hours of operation that affect its profitability.
Business Taxation
- Business taxation forms and deductions12E6.B.2 — Identify the receipts to retain for income tax, the deductions claimable under business expenses but not personal expenses, and the major sections of the T-1 General Income Tax Form and related schedules.
The official wording — 2 outcomes in this unit
- 12E6.B.1
Critique the viability of small business options by considering Q Q expenses Q Q sales Q Q profit or loss
- 12E6.B.2
Demonstrate an awareness of the government taxation forms and procedures involved in owning a business.
Unit 9ProbabilityOfficial strand · Strand P
Analyzing and interpreting problems that involve probability, odds, and expected gain or loss.
Probability in Real Life
- Probability and odds12E6.P.1 — Determine the probability of an event from a data set, express a probability as a fraction, decimal, percent, or statement, and relate probability to odds for or against.
- Expected gain or loss and applications12E6.P.1 — Determine the expected gain or loss of a situation, and explain applications of probability such as insurance, warranties, lotteries, and product failure, including how decisions combine theory, experiment, and judgment.
The official wording — 1 outcome in this unit
- 12E6.P.1
Analyze and interpret problems that involve probability.
Printable workbook · A keepsake of the year
A Essential Mathematics, Grade 12 (40S) 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 Essential Mathematics, Grade 12 (40S)?
Yes. MapleMind's AI tutor covers all 24 skills in Manitoba's Essential Mathematics, Grade 12 (40S) — 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 Manitoba's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Manitoba'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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That's the point of skill-level tutoring: open Essential Mathematics, Grade 12 (40S) 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 Manitoba curriculum for Essential Mathematics, Grade 12 (40S)?
The official source is linked on this page — Manitoba'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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