Saskatchewan · Grade 11
Foundations of Mathematics 20
Saskatchewan’s Grade 11 math course, from Reasoning and Proof to Inequalities and Quadratic Modelling.
- Units
- 4
- Lessons
- 9
- Skills
- 19
- Provincial exam
- None
- Official curriculum
- Saskatchewan Ministry of Education
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 4 skills
Reasoning and Proof
Research Inquiry Project
Investigating and presenting a mathematics topic
I can research a topic, analyze its mathematics, and present my findings.
Official code: FM20.1
Inductive and Deductive Reasoning
Inductive reasoning and conjectures
I can form a conjecture from a pattern and judge whether inductive reasoning supports it.
Official code: FM20.2
Deductive proof and validity
I can prove a statement deductively and judge whether an argument is valid.
Official code: FM20.2
Puzzles and games
I can determine and verify a strategy to solve a puzzle or win a game.
Official code: FM20.2
The official wording · 4 outcomes
- 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
- FM20.2
- inductive and deductive reasoning including: • analyzing conjectures • solving problems.
- FM20.2
- inductive and deductive reasoning including: • analyzing spatial puzzles and games
Key ideas
A good inquiry chooses a topic, collects reliable primary or secondary data, and interprets it.
Inductive reasoning generalizes from observed patterns to a conjecture.
Assessing data means checking accuracy, reliability, relevance, bias, and points of view.
A conjecture from inductive reasoning is not proven — one counterexample disproves it.
Deductive reasoning draws a certain conclusion from accepted premises using valid steps.
Watch out for
- Reporting data without checking its reliability or bias.
- Treating an inductive conjecture as a proof.
- Presenting conclusions the data does not actually support.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 7 skills
Proportional Reasoning and Geometry
Rates and Scale
Rates
I can solve problems using rates and unit rates and connect a rate to slope.
Official code: FM20.3
Scale diagrams and scale factor
I can determine a scale factor and use it with scale diagrams.
Official code: FM20.3
Scale factor, area, and volume
I can predict how area and volume change when the scale factor changes.
Official code: FM20.3
Angles and Triangles
Angle relationships and proofs
I can prove angle relationships for parallel lines and triangles.
Official code: FM20.4
Solving angle and triangle problems
I can solve for unknown angles using parallel-line and triangle relationships.
Official code: FM20.4
The Sine and Cosine Laws
Applying the sine and cosine laws
I can solve a non-right triangle using the sine or cosine law.
Official code: FM20.5
The ambiguous case
I can determine whether the ambiguous case gives zero, one, or two triangles.
Official code: FM20.5
The official wording · 7 outcomes
- FM20.3
- Expand and demonstrate understanding of proportional reasoning related to: • rates
- FM20.3
- proportional reasoning related to: • scale diagrams • scale factor
- FM20.3
- proportional reasoning related to: • area • surface area • volume.
- FM20.4
- Demonstrate understanding of properties of angles and triangles including: • deriving proofs based on theorems and postulates about congruent triangles
- FM20.4
- properties of angles and triangles including: • solving problems.
- FM20.5
- Demonstrate understanding of the cosine law and sine law (including the ambiguous case).
- FM20.5
- the cosine law and sine law (including the ambiguous case).
Key ideas
A rate compares two quantities with different units, e.g. km/h or $/kg.
Parallel lines cut by a transversal give equal corresponding and alternate angles.
Sine law: a/sin A = b/sin B = c/sin C.
On a graph, the slope represents the rate of change.
The interior angles of a triangle sum to 180 degrees; a polygon's interior angle sum is (n-2)*180.
Watch out for
- Inverting the rate (units in the wrong order).
- Assuming angle relationships hold for non-parallel lines.
- Using the sine law when only three sides are known (needs cosine law).
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 3 skills
Statistics
Normal Distribution
The normal curve and standard deviation
I can describe a normal distribution and use standard deviation to make decisions.
Official code: FM20.6
Z-scores
I can compute a z-score and interpret how unusual a value is.
Official code: FM20.6
Confidence Intervals
Confidence intervals and margin of error
I can interpret a confidence interval, confidence level, and margin of error.
Official code: FM20.7
The official wording · 3 outcomes
- FM20.6
- Demonstrate an understanding of normal distribution, including standard deviation and z-scores.
- FM20.6
- 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.
Key ideas
A normal curve is symmetric about the mean; about 68% of data lies within one standard deviation.
A margin of error gives the range around a sample result likely to contain the true value.
Standard deviation measures spread — a larger value means more variability.
A larger sample size narrows the confidence interval for the same confidence level.
A z-score = (value - mean) / standard deviation.
Watch out for
- Assuming every data set is normally distributed.
- Reading the margin of error as certainty about the exact value.
- Confusing standard deviation with the mean.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 5 skills
Inequalities and Quadratic Modelling
Systems of Linear Inequalities
Graphing systems of linear inequalities
I can graph a system of linear inequalities and identify the solution region.
Official code: FM20.8
Linear programming and optimization
I can use linear programming to maximize or minimize an objective over a feasible region.
Official code: FM20.8
Quadratic Functions
Intercepts and zeros of quadratics
I can find the intercepts of a quadratic model and say what they mean in context.
Official code: FM20.9
Vertex and axis of symmetry
I can find the vertex and axis of symmetry of a quadratic and interpret the maximum or minimum.
Official code: FM20.9
Domain, range, and graphing quadratics
I can state the domain and range of a quadratic model and sketch its graph.
Official code: FM20.9
The official wording · 5 outcomes
- FM20.8
- Demonstrate understanding of systems of linear inequalities in two variables.
- FM20.8
- 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
- FM20.9
- quadratic functions of the form y = a(x - p)² + q , including: • vertex • axis of symmetry.
- FM20.9
- quadratic functions of the form y = a(x - p)² + q , including: • domain and range
Key ideas
Each inequality shades a half-plane; the solution region is where all shadings overlap.
The x-intercepts (zeros) are where the parabola crosses the x-axis, found by factoring or the quadratic formula.
Use a solid line for <= or >=, a broken line for < or >.
In a model, a zero might mean when a ball lands or when profit is zero.
The optimal value of a linear objective occurs at a vertex of the feasible region.
Watch out for
- Shading the wrong side of a boundary line.
- Confusing the y-intercept with the zeros.
- Using a solid line for a strict inequality.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Which course?
Saskatchewan has 3 math courses for Grade 11. Here they are side by side.
- Foundations of Mathematics 20This course4 units · 19 skillsNo provincial examWhat it coversReasoning and Proof · Proportional Reasoning and Geometry · Statistics · Inequalities and Quadratic Modelling
- Pre-Calculus 205 units · 27 skillsNo provincial examWhat it coversAbsolute Value and Radicals · Rational Expressions · Trigonometry · Quadratic Functions and Equations · Inequalities, Sequences, and Reciprocals
- Workplace and Apprenticeship Mathematics 203 units · 20 skillsNo provincial examWhat it coversMeasurement and Geometry · Personal Finance · Slope, Scale, and Data
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 Saskatchewan’s own curriculum for Foundations of Mathematics 20.
Textbooks
The textbooks Saskatchewan Ministry of Education lists for Foundations of Mathematics 20:
- Nelson Foundations of Mathematics 11
From core resources, read October 27, 2026. curriculum.gov.sk.ca
Study it in MapleMind
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Course Companion
Your year in one workbook
A fun way to keep Foundations of Mathematics 20 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
- 28
- Fillable fields
- 1,246
- Price
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Questions about Foundations of Mathematics 20
What is Foundations of Mathematics 20?
Saskatchewan’s Grade 11 math course: 4 units and 19 skills, from Reasoning and Proof to Inequalities and Quadratic Modelling.
What units are in Foundations of Mathematics 20?
1. Reasoning and Proof, 2. Proportional Reasoning and Geometry, 3. Statistics and 4. Inequalities and Quadratic Modelling.
Is there a provincial exam for Foundations of Mathematics 20?
No. Saskatchewan gives no provincial exam for Foundations of Mathematics 20.
What textbook does Foundations of Mathematics 20 use?
The textbooks Saskatchewan Ministry of Education lists for Foundations of Mathematics 20: Nelson Foundations of Mathematics 11.
What comes after Foundations of Mathematics 20?
Foundations of Mathematics 30, Pre-Calculus 30, Workplace and Apprenticeship Mathematics 30 and Calculus 30.
Can MapleMind help with Foundations of Mathematics 20?
Yes. MapleMind teaches every skill of Foundations of Mathematics 20, 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.
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