SaskatchewanSK Foundations of Mathematics 30 Curriculum
Video lessons and practice for every Foundations of Mathematics 30 topic. Aligned to what Saskatchewan schools teach at Level 30.
SK Foundations of Mathematics 30 | StudyPugHelp
SO_ID | Outcome | StudyPug Topic |
|---|---|---|
FM30.1 | Compare simple vs compound interest, analyze investments, solve loan problems, apply Rule of 72 |
FM30.2 | Develop strategies for puzzles/games, analyze if-then statements, use truth tables and Venn diagrams |
FM30.3 | Create Venn diagrams, use Boolean operators and set notation, solve problems involving sets |
FM30.4 | Explain probability/odds statements, calculate probabilities, critique odds vs probability usage |
FM30.5 | Analyze mutually exclusive and dependent events, calculate probabilities for multiple events |
FM30.6 | Apply fundamental counting principle, calculate factorials, determine permutations and combinations |
FM30.7 | Analyze polynomial, exponential, logarithmic, sinusoidal functions, determine best-fit functions |
FM30.8 | Develop rubrics, collect and assess data, interpret using statistical methods, present findings |
Foundations of Mathematics 30 in Saskatchewan
Foundations of Mathematics 30 is a Level 30 course taken by Saskatchewan students preparing for post-secondary programs that require practical mathematical literacy rather than calculus. The course spans eight major areas, giving students a broad and applied understanding of mathematics in real-world contexts.
Financial Mathematics
Students compare simple and compound interest, analyze investment options, and solve loan problems. The Rule of 72 is introduced as a practical tool for estimating how quickly money doubles. These skills apply directly to personal finance decisions students will face after graduation.
Logical Reasoning and Puzzles
This unit develops problem-solving strategies for puzzles and games. Students analyze if-then statements and use truth tables and Venn diagrams to evaluate logical arguments. These reasoning skills support critical thinking across all subject areas.
Set Theory and Boolean Operators
Students create Venn diagrams, apply Boolean operators, and use formal set notation. Solving problems involving unions, intersections, and complements of sets builds a foundation for both mathematics and computer science concepts.
Probability and Odds
Students learn to explain probability and odds statements, calculate theoretical and experimental probabilities, and critically assess when odds versus probability language is used — and misused — in everyday contexts such as sports, weather, and media.
Mutually Exclusive and Dependent Events
This unit extends probability to more complex scenarios. Students analyze mutually exclusive events and dependent events, calculating probabilities for sequences of outcomes using appropriate rules and formulas.
Counting Methods
The fundamental counting principle, factorials, permutations, and combinations are all covered in this unit. Students learn to determine which counting method applies to a given situation and calculate results accurately.
Functions and Graph Analysis
Students analyze polynomial, exponential, logarithmic, and sinusoidal functions. A key skill is determining the best-fit function type for a given data set, which connects algebraic reasoning to real-world data interpretation.
Statistical Analysis and Interpretation
In the final unit, students develop rubrics, collect and assess data sets, and interpret findings using statistical methods. Presenting statistical conclusions clearly and accurately is emphasized as a practical communication skill.
- Financial mathematics: interest, loans, and the Rule of 72
- Logical reasoning: truth tables, if-then statements, Venn diagrams
- Set theory: Boolean operators, set notation, intersections and unions
- Probability: odds vs probability, mutually exclusive and dependent events
- Counting: fundamental counting principle, permutations, combinations
- Functions: polynomial, exponential, logarithmic, sinusoidal
- Statistics: data collection, rubrics, interpretation, and presentation