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The official Saskatchewan Foundations of Mathematics 20 curriculum
Saskatchewan defines Foundations of Mathematics 20 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 Saskatchewan's official curriculumRead it on the government site — curriculum.gov.sk.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand LR | 2 | Reasoning and Proof |
| Strand PR | 3 | Proportional Reasoning and Geometry |
| Strand SP | 2 | Statistics |
| Strand RF | 2 | Inequalities and Quadratic Modelling |
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How MapleMind teaches Foundations of Mathematics 20 — 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 1Reasoning and ProofOfficial strand · Strand LR
A research inquiry project, and inductive and deductive reasoning including conjectures, proof, validity, and puzzles and games.
Research Inquiry Project
- Investigating and presenting a mathematics topicFM20.1 — Investigate the mathematics involved in an historical event or an area of interest, collecting and analyzing data and presenting the findings.
Inductive and Deductive Reasoning
- Inductive reasoning and conjecturesFM20.2 — Make and analyze conjectures using inductive reasoning, and recognize when inductive reasoning can lead to false conclusions.
- Deductive proof and validityFM20.2 — Prove conjectures and algebraic number relationships using deductive reasoning, and analyze arguments and proofs for validity.
- Puzzles and gamesFM20.2 — Analyze puzzles and games, determining, explaining, and verifying strategies to solve them or win.
The official wording — 2 outcomes in this unit
- FM20.1
Demonstrate understanding of the mathematics involved in an historical event or an area of interest.
- FM20.2
Demonstrate understanding of inductive and deductive reasoning including: • analyzing conjectures • providing conjectures
Unit 2Proportional Reasoning and GeometryOfficial strand · Strand PR
Proportional reasoning with rates and scale, and properties of angles, triangles, and the sine and cosine laws.
Rates and Scale
- RatesFM20.3 — Solve situational questions involving rates and unit rates, and relate a rate to the slope of a graph.
- Scale diagrams and scale factorFM20.3 — Draw and interpret scale diagrams of 2-D shapes and 3-D objects and determine scale factors.
- Scale factor, area, and volumeFM20.3 — Determine how a change in scale factor affects the area, surface area, and volume of shapes and objects.
Angles and Triangles
- Angle relationships and proofsFM20.4 — Prove relationships among angles formed by transversals and parallel lines, and the angle sum of a triangle and polygons.
- Solving angle and triangle problemsFM20.4 — Solve situational problems involving angles, parallel lines, transversals, and angles in triangles and polygons.
The Sine and Cosine Laws
- Applying the sine and cosine lawsFM20.5 — Apply the sine law and cosine law to determine angles and side lengths of triangles without a right angle.
- The ambiguous caseFM20.5 — Determine the number of possible triangles in the ambiguous case of the sine law.
The official wording — 3 outcomes in this unit
- FM20.3
Expand and demonstrate understanding of proportional reasoning related to: • rates
- FM20.4
Demonstrate understanding of properties of angles and triangles including: • deriving proofs based on theorems and postulates about congruent triangles
- FM20.5
Demonstrate understanding of the cosine law and sine law (including the ambiguous case).
Unit 3StatisticsOfficial strand · Strand SP
Normal distribution with standard deviation and z-scores, and the interpretation of statistical data using confidence intervals and margin of error.
Normal Distribution
- The normal curve and standard deviationFM20.6 — Explain the properties of a normal curve and compute and interpret standard deviation to make decisions.
- Z-scoresFM20.6 — Determine and interpret the z-score for a value in a normally distributed data set.
Confidence Intervals
- Confidence intervals and margin of errorFM20.7 — Interpret confidence intervals, confidence levels, and margin of error to make inferences and decisions about a population.
The official wording — 2 outcomes in this unit
- FM20.6
Demonstrate an understanding of normal distribution, including standard deviation and z-scores.
- FM20.7
Demonstrate understanding of the interpretation of statistical data, including: • confidence intervals • confidence levels • margin of error.
Unit 4Inequalities and Quadratic ModellingOfficial strand · Strand RF
Systems of linear inequalities with optimization, and quadratic functions used to model situations.
Systems of Linear Inequalities
- Graphing systems of linear inequalitiesFM20.8 — Graph and solve systems of linear inequalities in two variables, identifying the solution region.
- Linear programming and optimizationFM20.8 — Apply linear programming to solve optimization questions using systems of linear inequalities.
Quadratic Functions
- Intercepts and zeros of quadraticsFM20.9 — Determine the x-intercepts (zeros) of a quadratic function and relate them to the roots of the corresponding equation in a modelled situation.
- Vertex and axis of symmetryFM20.9 — Determine the vertex and axis of symmetry of a quadratic function and interpret the vertex as a maximum or minimum in a model.
- Domain, range, and graphing quadraticsFM20.9 — Determine the domain and range of a quadratic function, sketch its graph, and explain what they reveal about the modelled situation.
The official wording — 2 outcomes in this unit
- FM20.8
Demonstrate understanding of systems of linear inequalities in two variables.
- FM20.9
Demonstrate an understanding of the characteristics of quadratic functions of the form y = a(x - p)² + q , including: • intercepts
Printable workbook · A keepsake of the year
A Foundations of Mathematics 20 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 20?
Yes. MapleMind's AI tutor covers all 19 skills in Saskatchewan's Foundations of Mathematics 20 — 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 Saskatchewan's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Saskatchewan'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 20 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 Saskatchewan curriculum for Foundations of Mathematics 20?
The official source is linked on this page — Saskatchewan'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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