Pre-Calculus 30 Topics in the Saskatchewan Curriculum
Pre-Calculus 30 is a Level 30 course in Saskatchewan that prepares students for post-secondary mathematics, including calculus. StudyPug covers every unit taught in Saskatchewan schools, from trigonometric functions to the binomial theorem.
Trigonometry and Angles
Students begin by sketching angles in standard position, converting between degrees and radians, and identifying coterminal angles. They then derive circle equations, develop trigonometric ratios, and solve real-world problems. Graphing and analyzing trigonometric functions is a core skill, along with solving trigonometric equations algebraically and with technology.
Trigonometric Identities
Level 30 students verify and prove trigonometric identities and use them to determine exact values. StudyPug provides step-by-step video lessons so students can follow the logic of each proof clearly.
Functions and Transformations
This section covers operations on functions, domain and range, and composition of functions. Students also analyze and sketch transformations, write equations of transformed functions, reflect functions, and determine inverses. These skills are essential for success in calculus.
Exponential and Logarithmic Functions
Students solve exponential and logarithmic equations and analyze their graphs. StudyPug breaks these topics into short, focused lessons so students can master each concept before moving on.
Polynomial and Rational Functions
Pre-Calculus 30 includes polynomial division, the factor and remainder theorems, and graphing polynomial functions. Students also graph and analyze radical and rational functions and solve related equations.
Counting Principles and the Binomial Theorem
- Fundamental counting principles
- Permutations
- Combinations
- Pascal's triangle
- Binomial expansion
These topics round out the Pre-Calculus 30 curriculum and appear on the Saskatchewan provincial exam.
Saskatchewan