Premium Grade 12 Mathematics Course (U.S
Curriculum)
Complete Pre-Calculus, Algebra, Trigonometry, and Intro Calculus for High School Seniors.
Module 1: Advanced Algebra
Topics include quadratic equations, polynomials, logarithms, and exponential functions.
Example: Solve x^2 - 5x + 6 = 0 → (x-2)(x-3)=0 → x=2 or 3.
Practice: Solve x^2 + 7x + 10 = 0.
Logarithms: log(a*b) = log(a) + log(b).
Practice: Solve log(x) + log(2) = log(10).
Module 2: Functions and Graphs
Learn domain, range, transformations, and inverse functions.
Example: f(x)=x^2 → shifted: (x-3)^2.
Practice: Find domain of 1/(x-2).
Module 3: Trigonometry
Includes unit circle, trig identities, solving equations.
Example: sin^2θ + cos^2θ = 1.
Practice: Solve sinθ = 0.5.
Module 4: Analytic Geometry
Covers distance formula, midpoint, and conic sections.
Example: Distance between (1,2) and (4,6).
Module 5: Introduction to Calculus
Limits, derivatives, and applications.
Example: d/dx(x^2)=2x.
Curriculum)
Complete Pre-Calculus, Algebra, Trigonometry, and Intro Calculus for High School Seniors.
Module 1: Advanced Algebra
Topics include quadratic equations, polynomials, logarithms, and exponential functions.
Example: Solve x^2 - 5x + 6 = 0 → (x-2)(x-3)=0 → x=2 or 3.
Practice: Solve x^2 + 7x + 10 = 0.
Logarithms: log(a*b) = log(a) + log(b).
Practice: Solve log(x) + log(2) = log(10).
Module 2: Functions and Graphs
Learn domain, range, transformations, and inverse functions.
Example: f(x)=x^2 → shifted: (x-3)^2.
Practice: Find domain of 1/(x-2).
Module 3: Trigonometry
Includes unit circle, trig identities, solving equations.
Example: sin^2θ + cos^2θ = 1.
Practice: Solve sinθ = 0.5.
Module 4: Analytic Geometry
Covers distance formula, midpoint, and conic sections.
Example: Distance between (1,2) and (4,6).
Module 5: Introduction to Calculus
Limits, derivatives, and applications.
Example: d/dx(x^2)=2x.
