ManitobaMB Grade 11 Pre-Calculus Math (30S) Curriculum
Video lessons and practice for every Grade 11 Pre-Calculus Mathematics (30S) topic. Aligned to what Manitoba schools teach.
MB Grade 11 Pre-Calculus Math (30S) | StudyPugHelp
GO_ID | Outcome | StudyPug Topic |
|---|---|---|
MB.GO.11P.A.1 | Demonstrate an understanding of the absolute value of real numbers: |
MB.GO.11P.A.2 | Solve problems involving operations on radicals and radical expressions with numerical and variable radicands: |
MB.GO.11P.A.3 | Solve problems involving radical equations limited to square roots: |
MB.GO.11P.A.4 | Determine equivalent forms of rational expressions with numerators and denominators that are monomials, binomials or trinomials: |
MB.GO.11P.A.5 | Perform operations on rational expressions with numerators and denominators that are monomials, binomials or trinomials: |
MB.GO.11P.A.6 | Solve problems involving rational equations with numerators and denominators that are monomials, binomials or trinomials: |
MB.GO.11P.T.1 | Demonstrate an understanding of angles in standard position from 0° to 360°: |
MB.GO.11P.T.2 | Solve problems using the three primary trigonometric ratios for angles from 0° to 360° in standard position: |
MB.GO.11P.T.3 | Solve problems using the cosine law and sine law, including the ambiguous case: |
MB.GO.11P.R.1 | Factor polynomial expressions of various forms: |
MB.GO.11P.R.3 | Analyze quadratic functions of the form y = a(x - p)² + q and determine characteristics of the corresponding graph: |
MB.GO.11P.R.4 | Analyze quadratic functions of the form y = ax² + bx + c to identify characteristics of the corresponding graph: |
MB.GO.11P.R.5 | Solve problems involving quadratic equations: |
MB.GO.11P.R.6 | Solve algebraically and graphically problems involving systems of linear-quadratic and quadratic-quadratic equations: |
MB.GO.11P.R.7 | Solve problems involving linear and quadratic inequalities in two variables: |
MB.GO.11P.R.8 | Solve problems involving quadratic inequalities in one variable: |
MB.GO.11P.R.9 | Analyze arithmetic sequences and series to solve problems: |
MB.GO.11P.R.10 | Analyze geometric sequences and series to solve problems: |
MB.GO.11P.R.11 | Graph and analyze reciprocal functions limited to the reciprocal of linear and quadratic functions: |
Grade 11 Pre-Calculus Mathematics (30S) in Manitoba
Manitoba's Grade 11 Pre-Calculus Mathematics (30S) is a foundational course for students planning to pursue math, science, or engineering after high school. The 30S designation means this course is at the Senior 3 level and is a prerequisite for Pre-Calculus Mathematics 40S in Grade 12.
Key Topics in Pre-Calculus 30S
- Trigonometry — angles in standard position, unit circle, sine and cosine functions
- Quadratic Functions — graphing parabolas, completing the square, solving quadratic equations
- Radical Expressions and Equations — simplifying radicals, solving radical equations
- Polynomial Factoring — factoring trinomials, difference of squares, sum and difference of cubes
- Sequences and Series — arithmetic and geometric sequences, sigma notation
- Absolute Value and Reciprocal Functions — graphing and analyzing these function types
How StudyPug Helps Grade 11 Students in Manitoba
Pre-Calculus 30S moves quickly and the concepts can be challenging. StudyPug breaks every topic into short video lessons with worked examples and practice problems. Students can watch a lesson before class, review after a confusing lecture, or use it to prepare for tests and the Manitoba provincial exam.
Every lesson is available on demand — no scheduling required. Students can work through topics in order or jump to exactly the concept they need help with.
Preparing for the Manitoba Provincial Exam
Manitoba administers provincial exams for Senior 3 and Senior 4 courses, including Pre-Calculus 30S. StudyPug covers every topic assessed in the Manitoba 30S curriculum, making it a useful tool for exam preparation alongside regular class work.