ManitobaMB Grade 12 Pre-Calculus Mathematics (40S)
Video lessons and practice for every Grade 12 Pre-Calculus (40S) topic. Aligned to what Manitoba schools teach. Get help with homework anytime.
MB Grade 12 Pre-Calculus Mathematics (40S) | StudyPugHelp
GO_ID | Outcome | StudyPug Topic |
|---|---|---|
MB.GO.12P.T.1 | Demonstrate an understanding of angles in standard position, expressed in degrees and radians: |
MB.GO.12P.T.2 | Develop and apply the equation of the unit circle: |
MB.GO.12P.T.3 | Solve problems using the six trigonometric ratios for angles expressed in radians and degrees: |
MB.GO.12P.T.4 | Graph and analyze the trigonometric functions sine, cosine and tangent to solve problems: |
MB.GO.12P.T.5 | Solve algebraically and graphically first and second degree trigonometric equations: |
MB.GO.12P.T.6 | Prove trigonometric identities using various identities: |
MB.GO.12P.P.1 | Apply the fundamental counting principle to solve problems: |
MB.GO.12P.P.2 | Determine the number of permutations of n elements taken r at a time to solve problems: |
MB.GO.12P.P.3 | Determine the number of combinations of n different elements taken r at a time to solve problems: |
MB.GO.12P.P.4 | Expand powers of a binomial using the binomial theorem: |
MB.GO.12P.R.1 | Demonstrate an understanding of operations on and compositions of functions: |
MB.GO.12P.R.2 | Demonstrate an understanding of horizontal and vertical translations on function graphs and equations: |
MB.GO.12P.R.3 | Demonstrate an understanding of horizontal and vertical compressions and stretches on function graphs: |
MB.GO.12P.R.4 | Apply translations, compressions and stretches to the graphs and equations of functions: |
MB.GO.12P.R.5 | Demonstrate an understanding of reflections on function graphs and equations: |
MB.GO.12P.R.6 | Demonstrate an understanding of inverses of relations: |
MB.GO.12P.R.7 | Demonstrate an understanding of logarithms: |
MB.GO.12P.R.8 | Demonstrate an understanding of the product, quotient and power laws of logarithms: |
MB.GO.12P.R.9 | Graph and analyze exponential and logarithmic functions: |
MB.GO.12P.R.10 | Solve problems that involve exponential and logarithmic equations: |
MB.GO.12P.R.11 | Demonstrate an understanding of factoring polynomials of degree greater than 2: |
MB.GO.12P.R.12 | Graph and analyze polynomial functions: |
MB.GO.12P.R.13 | Graph and analyze radical functions: |
MB.GO.12P.R.14 | Graph and analyze rational functions: |
Grade 12 Pre-Calculus Mathematics (40S) in Manitoba
Grade 12 Pre-Calculus Mathematics (40S) is one of the most important math courses for Manitoba students heading to university. It covers advanced topics including polynomial functions, trigonometry, exponential and logarithmic functions, permutations and combinations, and conic sections. Mastering these topics is essential for university-level math, science, and engineering programs.
How StudyPug Helps with Pre-Calculus (40S)
StudyPug provides video lessons and practice problems for every topic in the Manitoba Grade 12 Pre-Calculus (40S) course. Whether your child is keeping up with class, catching up after missing a lesson, or preparing for the provincial exam, StudyPug has the resources they need.
- Step-by-step video lessons broken into short, easy-to-follow segments
- Practice problems after every lesson so students can test their understanding
- Available on any device — great for studying at home or on the go
- Covers every Manitoba 40S topic including functions, trigonometry, and conics
Preparing for the Manitoba Grade 12 Provincial Exam
Manitoba Grade 12 Pre-Calculus (40S) includes a provincial exam that counts toward a student's final grade. StudyPug's practice problems and worked examples help students review every exam topic with confidence. Students can identify weak areas early and focus their study time where it matters most.
Building on Grade 11 and Preparing for University
Grade 12 Pre-Calculus (40S) builds directly on Grade 11 Pre-Calculus (30S). Students who struggled with Grade 11 topics like quadratic functions or trigonometry can use StudyPug to fill gaps before tackling Grade 12 content. Completing 40S successfully prepares students for first-year university calculus and other advanced math courses.