Curriculum Syllabus & Outline
Markdown Syllabus# Pre-Calculus 11 Outline
1. Sequences & Series
- Arithmetic, geometric
2. Trigonometry
- Unit circle, radians/degrees
- Sine/cosine laws
3. Quadratic Functions
- Vertex form, standard form
- Discriminant, roots
4. Polynomials
- Division, remainder theorem
5. Rational Expressions & Equations
6. Absolute Value & Radicals
Educational Context & Standards
Pre-Calculus 11 prepares students for calculus by strengthening algebra and trig. Emphasis on function transformations, solving equations, and trigonometric identities basics.
Cross-Curriculum Equivalents
Canada/ON: Ontario Grade 11 Functions (MCR3U)
CA-ON-MCR3U
Canada/AB: Alberta Mathematics 20-1
CA-AB-MTH-20-1
US/TX: Texas TEKS Algebra II §111.40
US-TX-ALG-2
US/NY: NYSED NextGen Algebra II Regents
US-NY-ALG-2
Structured Lesson Modules (6 Lessons)
1
Sequences
Arithmetic: a_n=a_1+(n-1)d. Geometric: a_n=a_1 r^(n-1).
2
Trig on Unit Circle
Degrees/radians conversion. Reference angles.
3
Sine/Cosine Laws
a/sin A = b/sin B. c²=a²+b²-2ab cos C.
4
Quadratics
Complete square. Vertex form y=a(x-h)²+k.
5
Polynomial Division
Long division, synthetic division, remainder theorem.
6
Rational Expressions
Simplify, multiply, divide, solve.
Assessments & Check-for-Understanding
Q1
6th term arithmetic a1=2,d=3?
Answer
17
Q2
sin 150°=?
Answer
1/2
Q3
Vertex of y=2(x-3)²+1?
Answer
(3,1)
Q4
Remainder of P(x) by (x-2)?
Answer
P(2)
Q5
Simplify (x²-4)/(x-2).
Answer
x+2
Q6
Convert 60° to radians.
Answer
π/3