Mondays, 1:30 pm, Computer Room
Tue
sdays, 1:30 pm, Classroom
advanced_math_w-trig_september_syllabus_2014_fall_semester.docx | |
File Size: | 21 kb |
File Type: | docx |
KHAN ACADEMY HOMEWORK
WEEK 2, September 15 (5-8):
1. Completing the square in quadratics
2. Completing the square
3. Completing the square 2
4. Using the quadratic formula
WEEK 3, September 22 (9-12):
1. Key features of quadratic functions
2. More key features of quadratic functions
3. Finding the vertex of a parabola
WEEK 4, September 29 (13-16):
1. Graphing parabolas 1
2. Parabola intuition
3. Graphing parabolas in vertex form
Week 5, October 6 (17-20):
1. Graphing parabolas in all forms
2. Imaginary unit powers
3. Imaginary unit
4. The complex plane5. Factoring
6. Complete the square 1
7. Complete the square 2
8. Quadratic equation with complex solutions
Week 6, October 13 (21-24):
1. Adding and subtracting complex numbers
2. Complex plane operations
3. Distance and midpoint on the complex plane
4. Equivalent forms of expressions with complex numbers
Week 7, October 20 (25-28):
1. Watch: Understanding linear and exponential functions
2. Linear and exponential functions
3. Dividing polynomials by binomials
5. Simplifying rational expressions
6. Dividing polynomials by binomials 3
7. Simplifying rational expressions 3
8. Simplifying rational expressions 4
9. Adding and subtracting rational expressions
10. Adding and subtracting rations expressions 4
11. Adding and subtracting rational expressions 5
12. Adding and subtracting rational expressions 6
13. Adding and subtracting rational expressions 7
14. Graphs of rational functions
Week 8, October 27 (29-32):
1. WATCH: solving exponential equations with logs
2. Logarithms 1
3. Logarithms 2
3. Operations with logarithms
4. Understanding logs as inverses
Week 9, November 3:
1. Operations with logs
2. Estimating square roots
3. Simplifying square roots
4. Graphing inequalities
5. Graphs of inequalities
6. Inverse of functions
Week 11, November 17:
Week 10, November 10:
1. Factoring using all techniques
2. Find all the zeros
3. The remainder theorem
4. Real and imaginary zeros
5. Graphing simple rational functions
6. Graphing rational functions
7. Simplifying rational expressions
8. Graphing and properties of parabolas
Week 12, November 24:
Week 13, December 1
0. Graphing
1. Quadratics
2. Vertex Form
3. Factor quadratics
4. Quadratics with square roots
Week 16, January 5:
00. Pythagorean theorem
0. Trig 0.5
1. Trig 1
2. Trig 1.5
3. Trig 2
4. Special right triangles
WEEK 1, Spring Semester:
1. Pythagorean identities
2. Addition and subtraction trig identities
3. Trig word problems 1
4. Trig word problems 2
WEEK 2:
1. Trig functions and side ratios
2. Applying right triangles
3. Reciprocal trig functions
WEEK 3:
WEEK 4 (January 26, 2015):
WEEK 5, February 2, 2015:
WEEK 6, February 9, 2015:
WEEK 8, February 23, 2015:
March 16 and 17, 2015:
March 23, 2015:
WEEK of March 30, 2015:
1. Law of sines
2. Law of cosines
3. Graphing trig functions
WEEK 2, September 15 (5-8):
1. Completing the square in quadratics
2. Completing the square
3. Completing the square 2
4. Using the quadratic formula
WEEK 3, September 22 (9-12):
1. Key features of quadratic functions
2. More key features of quadratic functions
3. Finding the vertex of a parabola
WEEK 4, September 29 (13-16):
1. Graphing parabolas 1
2. Parabola intuition
3. Graphing parabolas in vertex form
Week 5, October 6 (17-20):
1. Graphing parabolas in all forms
2. Imaginary unit powers
3. Imaginary unit
4. The complex plane5. Factoring
6. Complete the square 1
7. Complete the square 2
8. Quadratic equation with complex solutions
Week 6, October 13 (21-24):
1. Adding and subtracting complex numbers
2. Complex plane operations
3. Distance and midpoint on the complex plane
4. Equivalent forms of expressions with complex numbers
Week 7, October 20 (25-28):
1. Watch: Understanding linear and exponential functions
2. Linear and exponential functions
3. Dividing polynomials by binomials
5. Simplifying rational expressions
6. Dividing polynomials by binomials 3
7. Simplifying rational expressions 3
8. Simplifying rational expressions 4
9. Adding and subtracting rational expressions
10. Adding and subtracting rations expressions 4
11. Adding and subtracting rational expressions 5
12. Adding and subtracting rational expressions 6
13. Adding and subtracting rational expressions 7
14. Graphs of rational functions
Week 8, October 27 (29-32):
1. WATCH: solving exponential equations with logs
2. Logarithms 1
3. Logarithms 2
3. Operations with logarithms
4. Understanding logs as inverses
Week 9, November 3:
1. Operations with logs
2. Estimating square roots
3. Simplifying square roots
4. Graphing inequalities
5. Graphs of inequalities
6. Inverse of functions
Week 11, November 17:
Week 10, November 10:
1. Factoring using all techniques
2. Find all the zeros
3. The remainder theorem
4. Real and imaginary zeros
5. Graphing simple rational functions
6. Graphing rational functions
7. Simplifying rational expressions
8. Graphing and properties of parabolas
Week 12, November 24:
- WATCH: Matrices
- Matrix dimensions
- WATCH: data with matrices
- Representing data with matrices
- WATCH: Scalar multiplication
- Scalar matrix multiplication
- WATCH: Matrix addition and subtraction
- Matrix addition and subtraction
- WATCH: Matrix multiplication
- WATCH: multiplying a matrix by a matrix
- Multiplying a matrix by a matrix
- WATCH: defined and undefined matrices
- Defined and undefined matrices
Week 13, December 1
0. Graphing
- Basic matrix operations
- Matrix multiplication
- All matrix operations combined
- Determinants: 2x2
- Determinants: 3x3
- Cramer's rule
- WATCH: Language and notation of circles
- WATCH: Circles
- WATCH: Length of Arc
- WATCH: Finding central angle measure
- Circles and Arcs
1. Quadratics
2. Vertex Form
3. Factor quadratics
4. Quadratics with square roots
Week 16, January 5:
00. Pythagorean theorem
0. Trig 0.5
1. Trig 1
2. Trig 1.5
3. Trig 2
4. Special right triangles
WEEK 1, Spring Semester:
1. Pythagorean identities
2. Addition and subtraction trig identities
3. Trig word problems 1
4. Trig word problems 2
WEEK 2:
1. Trig functions and side ratios
2. Applying right triangles
3. Reciprocal trig functions
WEEK 3:
WEEK 4 (January 26, 2015):
WEEK 5, February 2, 2015:
- Coterminal angles and reference angles
- Amplitude of trig functions
- Period of trig functions
- Graphs of sine and cosine
- Graph of trig functions
- Exact trig values
- Graphing trig functions
- Translating trig functions
WEEK 6, February 9, 2015:
- Evaluating inverse trig functions
- Understanding inverse trig functions
- Inverse trig function word problems
- For homework: inverse trig functions
WEEK 8, February 23, 2015:
- Manipulating Trig Identities
- This might work: Applying trig identities
March 16 and 17, 2015:
- Try this
March 23, 2015:
- Addition and subtraction
- Applying angle addition formulas
- Symmetry and periodicity
- Circles and Pythagorean identities
- Manipulating trig expressions
WEEK of March 30, 2015:
1. Law of sines
2. Law of cosines
3. Graphing trig functions