Curriculum Syllabus & Outline
Markdown Syllabus# Pre-Calculus 12 Outline
1. Transformations
- Functions: translations, stretches, reflections
2. Trigonometric Functions
- Graphs of sin/cos/tan
- Identities & equations
3. Exponential & Logarithmic Functions
4. Polynomial & Rational Functions
5. Combinatorics
- Permutations, combinations
6. Probability
- Binomial distribution
Educational Context & Standards
Pre-Calculus 12 is the gateway to calculus. Students master function transformations, trig identities, logs/exponentials, and counting principles.
Cross-Curriculum Equivalents
Canada/ON: Ontario Grade 12 Advanced Functions (MHF4U)
CA-ON-MHF4U
Canada/AB: Alberta Mathematics 30-1
CA-AB-MTH-30-1
US/TX: Texas TEKS Precalculus Β§111.42
US-TX-PRECALC
US/NY: NYSED Precalculus Advanced Topics
US-NY-PRECALC
Structured Lesson Modules (6 Lessons)
1
Transformations
y=af(b(x-c))+d. Order of transformations.
2
Trig Identities
Pythagorean, sum/difference, double angle.
3
Exponentials
Growth/decay. y=ab^x.
4
Logarithms
Inverse of exponential. log laws.
5
Combinatorics
nPr, nCr. Pascal's triangle.
6
Probability
Binomial probability. Expected value.
Assessments & Check-for-Understanding
Q1
log_2 8 = ?
Answer
3
Q2
sinΒ²ΞΈ+cosΒ²ΞΈ=?
Answer
1
Q3
8C3 = ?
Answer
56
Q4
Period of sin(2x)?
Answer
Ο
Q5
Solve 2^x=16.
Answer
x=4
Q6
5P2 = ?
Answer
20