Curriculum Syllabus & Outline
Markdown Syllabus# MCR3U Outline
1. Functions
- Domain, range, transformations
2. Exponential Functions
3. Trigonometric Functions
- Radians, unit circle, graphs
4. Discrete Functions
- Sequences, series, financial
5. Quadratic Functions (review/extend)
Educational Context & Standards
MCR3U (Ontario Grade 11 Functions) focuses on function concepts: transformations, exponential, trig, discrete. Prepares for MCV4U (Calculus).
Cross-Curriculum Equivalents
Canada/BC: BC Pre-Calculus 11
CA-BC-PREC-11
Canada/AB: Alberta Mathematics 20-1
CA-AB-MTH-20-1
US/TX: Texas TEKS Algebra II ยง111.40
US-TX-ALG-2
US/NY: NYSED NextGen Algebra II
US-NY-ALG-2
Structured Lesson Modules (6 Lessons)
1
Function Notation
f(x). Domain/range. Inverse functions.
2
Transformations
Vertical/horizontal shifts, stretches, reflections.
3
Exponential
y=ab^x. Applications.
4
Trig Functions
sin/cos/tan graphs. Period, amplitude.
5
Sequences & Series
Arithmetic/geometric sums.
6
Financial Math
Compound interest, annuities.
Assessments & Check-for-Understanding
Q1
f(x)=2x+1, f(3)=?
Answer
7
Q2
Period of cos x?
Answer
2ฯ
Q3
Sum first 5: 2,4,6,8,10?
Answer
30
Q4
Inverse of f(x)=3x?
Answer
x/3
Q5
A=1000(1.05)^t growth?
Answer
5% growth
Q6
Amplitude of 3sin x?
Answer
3