Download Algebra 2/Trigonometry Content Curriculum Map

Algebra 2/Trigonometry Content Curriculum Map
Time
Frame
September
To
October
October
To
November
*NOTE*
At the end
of Unit 3
a Check
Point Test
will be
given.
Topic
TOPIC 1: THE INTEGERS
1. Whole # & Integers
2. Properties of Equality
3. Adding & Subtracting Polynomials
4. Solving Absolute Value Equations &
Inequalities
5. Multiplying Polynomials
6. Factoring Polynomials
7. Solving Quadratic Equations by Factoring
8. Solving Quadratic Inequalities
AMSCO
Pages
CHAPTER 1
pp.1 – 37
3. A2.N.3
4. A2.A.1
5. A2.N.3
6. A2.A.7
7. A2.A.4
8. A2.A.4
TOPIC 2: THE RATIONAL NUMBERS
1. Rational Numbers
2. Simplifying Rational Expressions
3. Multiplying Rational Expressions
4. Dividing Rational Expressions
5. Adding Rational Expressions
6. Subtracting Rational Expressions
7. Simplifying Complex Fractions
8. Solving Rational Equations
9. Solving Rational Inequalities
CHAPTER 2
pp.39 – 77
*TOPIC 3: REAL NUMBERS & RADICALS
1. Real Numbers
2. Absolute Value equations & Inequalities
3. Roots and Radicals
4. Simplifying Radicals
5. Adding & Subtracting Radicals
CHAPTER 3
pp. 79 - 117
6. Multiplying Radicals
7. Dividing Radicals
Standard
1. A2.N.1
2. A2.N.3
3. A2.N.3
4. A2.N.3
5. A2.N.3
6. A2.N.3
7. A2.A.16
8. A2.A.23
9. A2.A.23
1.
2. A2.A.1
3. A2.A.11
4. A2.A.13
5. A2.N.2, A2.A14,
A2.N.4
6. A2.N.2, A2.A14
A2.N4
7. A2.N.2, A2.A14,
A2.N.4
8. Rationalizing a Denominator
9. Solving Radical Equations
TOPIC 4: RELATIONS & FUNCTIONS
1. Relations and Functions
2. Vertical Line Test
3. Domain & Range
November
To
December
8. A2.N.5, A2.A15
9. A2.A.22
CHAPTER 4
pp. 119 - 184
4. Function Notation
5. Types of Functions
6. Direct Variation
7. Linear Functions
8. Absolute Value Functions
9. Polynomial Functions
10. Function Arithmetic
11. Composition of Functions
12. Inverse Functions
1. A2.A.37,A2.A.38
2. A2.A.52
3.A2.A.39,A2.A.51,
A2.A.43
4. A2.A.40, A2.A.41
5. A2.A.39, A2.A.43
6. A2.A.5
7. A2.A.39
8. A2.A.39
9. A2.A.39, A2.A.50
10. A2.A.46
11. A2.A.42
12. A2.A.44, A2.A.45
13. Circles
13. A2.A.47, A2.A.48
14. Inverse Variation
14. A2.A.5
TOPIC 5: QUADRATIC FUNCTIONS &
COMPLEX NUMBERS
1. Roots of Quadratic Equations
2. Completing The Square
3. Quadratic Formula
4. The Discriminant
5. Imaginary Numbers
6. Powers of i
7. Complex Numbers
8. Operations With Complex Numbers
9. Complex Roots Of Quadratic Equations
10. Sum and Product of the Roots of an Equation
11. Solving Polynomial Equations
12. Solving Quadratic Linear Systems Graphically
CHAPTER 5
pp.186 – 244
1. A2.A.2
2. A2.A.24
3. A2.A.25
4. A2.A.2
5. A2.A.6, A2.N5
6. A2.A.7, A2.N6
7. A2.A.17
8. A2.N.9,
A2.N.8,A2.N7
9. A2.A.25
10. A2.A.20, A2.A.21
11. A2.A.50
12. A2.A.3
and Algebraically
13. Graphing Quadratic Inequalities
TOPIC 6: SEQUENCES & SERIES
1. Sequences
2. Arithmetic Sequences
3. Arithmetic Mean
4. Sigma Notation
5. Series
6. Arithmetic Series
7. Geometric Sequence
December
To
January
*NOTE*
At the end
of Unit 8
a Check
Point Test
will be
given.
January
To
February
8. Geometric Series
9. Infinite Series
10. The Number e
TOPIC 7: EXPONENTIAL FUNCTIONS
1. Laws of Exponents
2. Non-positive Exponents
3. Fractional Exponents
4. Graphing Exponential Functions
5. Solving Exponential Equations
6. Applying Exponential Functions
*TOPIC 8: LOGARITHMIC FUNCTIONS
1. Logarithmic Functions
2. Logarithmic Relationships
3. Common Logarithms
4. Natural Logarithms
5. Exponential Equations
6. Logarithmic Equations
TOPIC 9: TRIGONOMETRIC FUNCTIONS
1. Trigonometry of the Right Triangle
2. Angles as Rotations
3. Coterminal Angles
4. The Unit Circle
5. Sine Function
6. Cosine Function
A2.A.26
CHAPTER 6
pp.247 – 283
CHAPTER 7
pp.286 – 316
CHAPTER 8
pp.319 – 351
CHAPTER 9
pp.353 – 396
1. A2.A.33
2. A2.A.29, A2.A.30
3. A2.A.29
4. A2.N.9, A2.A.34
5. A2.A.34
6. A2.A.35
7. A2.A.29, A2.A.31,
A2A.31
8. A2.A.34, A2.A.35
9. A2.A.34
10. A2.A.34
1. A2.A.8
2. A2.A.9, A2.A.10
3. A2.A.8
4. A2.A.12, A2.A.53
5. A2.A.27, A2.A.28
6. A2.A.6
1. A2.A.18, A2.A.54
2. A2.A.19
3. A2.A.18
4. A2.A.18
5. A2.A.27
6. A2.A.28
1.A2.A.55, A2.A.56
2. A2.A.57, A2.A.60
3. A2.A.60
4. A2.A.60, A2.A.62
5. A2.A.60
6. A2.A.60
7. Tangent Function
8. Reciprocal Trigonometric Functions
9. Function Values of Special Angles
10. Function Values From the Calculator
11. Reference Angles
February
To
March
*NOTE*
At the end
of Unit 12
a Check
Point Test
will be
given.
7. A2.A.56
8. A2.A.58
9. A2.A.56
10. A2.A.66
11. A2.A.57
TOPIC 10: MORE TRIGONOMETRIC
FUNCTIONS
1. Radian Measure
2. Trigonometric Values Using Radian Measure
3. Pythagorean Identities
4. Domain and Range of Trigonometric
Functions
5. Inverse Trigonometric Functions
6. Cofunctions
CHAPTER 10
pp.399 – 431
TOPIC 11: GRAPHS OF TRIGONOMETRIC
FUNCTIONS
1. Graph Sine Function
2. Graph of Cosine Function
3. Amplitude, Period, Phase Shift
4. Graph of Tangent Function
5. Graphs of Reciprocal Trigonometric Functions
6. Graphs of Inverse Trigonometric Functions
CHAPTER 11
pp.434 –479
*TOPIC 12: TRIGONOMETRIC IDENTITIES
1. Basic Trigonometric Identities
2. Proving Trigonometric Identities
3. Cosine(A – B) & Cosine(A + B)
4. Sine(A – B) & Sine(A + B)
5. Tangent(A – B) & Tangent(A + B)
6. Function Values of Double Angles
7. Function Values of Half Angles
CHAPTER 12
pp.482 – 515
1. A2.M.1
2. A2.M.2
3. A2.A.67
4. A2.A.52
5. A2.A.64, A2.A.63
6. A2.A.58, A2.A.59
A2.A.70, A2.A.72
A2.A.70, A2.A.72
A2.A.69, A2.A.72
A2.A.71, A2.A.72
A2.A.71
A2.A.65, A2.A.63
A2.A.58, A2.A.67
A2.A.58, A2.A.67
A2.A.76
A2.A.76
A2.A.76
A2.A.77
A2.A.77
March
To April
April
To May
TOPIC 13: TRIGONOMETRIC EQUATIONS
1. First Degree Trigonometric Equations
2. Second Degree Trigonometric Equations
3. Trigonometric Equations Involving More Than
One Function
4. Trigonometric Equations Involving Double
Angles
CHAPTER 13
pp.518 – 545
TOPIC 14: TRIGONOMETRIC APPLICATIONS
1. Law of Cosines
2. Using the Law of Cosines to Find Angle
Measure
3. Area of a Triangle
4. Law of Sines
5. The Ambiguous Case
6. Solving Triangles
CHAPTER 14
pp.547 – 585
TOPIC 15: STATISTICS
1. Gathering Data
2. Measures of Central Tendency
3. Quartiles
4. Box and Whiskers Plot
5. Stem and Leaf Plot
6. Measures of Central Tendency for Grouped
Data
7. Measures of Dispersion
8. Variance and Standard Deviation
9. Population Standard Deviation
10. Sample Standard Deviation
11. Normal Distribution
12. Bivariate Statistics
13. Correlation Coefficient
14. Non-Linear Regression
15. Interpolation & Extrapolation
CHAPTER 15
pp.587 – 669
1. A2.A.68
2. A2.A.68
3. A2.A.68
4. A2.A.68
1. A2.A.73
2. A2.A.73
3. A2.A.74
4. A2.A.73
5. A2.A.75
6. A2.A.73
1. A2.S.1, A2.S.2
2. A2.S.3
3. A2.S.4
4. A2.S.3
5. A2.S.3
6. A2.S.3
7. A2.S.4
8. A2.S.4
9. A2.S.4
10. A2.S.4
11. A2.S.5
12. A2.S.6
13. A2.S.8
14. A2.S.6
15. A2.S.7
TOPIC 16: PROBABILITY & THE BINOMIAL
THEOREM
1. The Counting Principle
2. Permutations
3. Combinations
4. Theoretical Probability
5. Probability With Two Outcomes (Bernoulli
Probability)
6. Probability of At Least and At Most
7. The Normal Curve
8. The Binomial Theorem
May
To
June
Review For State Regents Exam
CHAPTER 16
pp.672 - 715
1. A2.S.12
2. A2.S.9, A2.S.10
3. A2.S.11
4. A2.S.13
5. A2.S.14
6. A2.S.15
7. A2.S.16
8. A2.A.36