Wednesday, Sept. 8
Connecting Geometry and Algebra
ADD Next Year: Like terms, combining, adding, subtracting.
R1: How can we check factors of trinomials by multiplying two binomials? Monday, Sept. 13
Class Requirements
R2: How can we find the GCF of a set of integers?
1: How can we find the GCF of a Polynomial? Tuesday, Sept. 14
2. How can we factor out a GCF?
3: How can we factor quadratic trinomials of the form ax^2 + bx +c? (a = 1) Wednesday, Sept. 15
4: How can we factor quadratic trinomials when a is an integer greater than 1?
4P: Practice Factoring Quadratic Trinomials Thursday, Sept. 16
5: How can we factor a difference of two perfect squares?
6: How can we factor perfect square trinomials? Friday, Sept 17
7: How can we factor completely?
7P: Practice, QUIZ 1. Monday, Sept 20
8: How can we decide which factoring method to use?
9: How can we factor by grouping?
UNIT 2 - Rational Expressions and Equations Tuesday, Sept 21
10: When is a Rational Expression in Simplest Form?
11: When are Rational Expressions Undefined? Wednesday, Sept 22
12: How can we Reduce Rational Expressions by Factoring Out -1?
13: How can we multiply rational expressions? Thursday, Sept. 23
14: How can we divide rational expressions?
14P: Practice Multiplying and Dividing; Both in one expression / multi-variable. Friday, Sept 24
15: How can we add and subtract rational expressions with like denominators?
15P: Mixed Multiple Choice Practice and Self-Assessment Monday, Sept 27
16: How can we find equivalent expressions with lowest common denominators?
17: How can we add or subtract rational expressions? Tuesday, Sept 28 17P: Practice, avoiding common errors.
18: How can we add or subtract mixed expressions?
Wednesday, Sept 29
19: How can we multiply or divide mixed expressions?
20: How can we simplify complex rational expressions by dividing? Thursday, Sept 30
21: How can we simplify complex rational expressions using the LCD to cancel denominators?
Regents Practice Friday, Oct 1
22: How can we perform operations on rational expressions?
23: How can we use operations on rational expressions to simplify complex rational expressions? Tuesday, Oct 5
24: How can we solve proportions? (2 - period lesson; linear, quadratic) Wednesday, Oct 6
25: How can we solve fractional equations by writing and solving a proportion?
26: How can we solve fractional equations using the LCD? Thursday, Oct 6
27: How can we find extraneous roots of fractional equations?
27P: Practice solving fractional equations. Friday, Oct 7
Test Preparation Test One Tuesday, Oct 12
Mini-Project: Applying Rational Equations in the Real World
UNIT 3 - Polynomial Equations
Wednesday, Oct 13
Practice solving quadratics by factoring.
PSAT Thursday, Oct 14
29: How can we solve quadratics not in standard form?
30: How can we solve quadratics using square roots? Friday, Oct 15
31: How can we "complete the square"? (Geometrically and algebraically)
32: How can we solve quadratic equations by completing the square? Monday, Oct 18
33: How can we solve quadratic equations by completing the square when a is not equal to 1? 33P: Practice Tuesday, Oct 19
34: How can we solve quadratics using the quadratic formula?
Quadratic Formula Practice Wednesday, Oct 20
35: How can we avoid common errors when using the QF?
36: How can we choose which method to use when solving a quadratic equation? Thursday, Oct 21Review and Practice Friday, Oct 22
Periodic Assessment: 1 Per. MC; 1 Per. Extended Response Monday, Oct 25
37: How can we solve higher order equations?
38: How can we determine the roots of a polynomial equation graphically? Tuesday, Oct 26
38P: Practice solving higher-order equations.
39: How can we use factoring by grouping to solve polynomial equations?
UNIT 4 - Radical Expressions Wednesday, Oct 27
40: What are roots and radicals?
41: How can we simplify radicals? Thursday, Oct 28
42: How can we simplify radicals with variables in the radicand?
43: How can we add or subtract radicals? Monday, Nov. 1
44: How can we combine radicals with variables in the radicand?
45: How can we multiply monomial radicals? Wednesday, Nov. 3
46: How can we rationalize monomial radical denominators?
47: How can we multiply binomial radical expressions? Thursday, Nov. 4
48: How can we use conjugates to rationalize binomial radical denominators?
Review and Mixed Practice Friday, Nov. 5 QUIZ
49: How can we solve radical equations?
50: How can we solve radical equations that derive quadratics?
UNIT 5 - Exponents Monday, Nov. 6 51: What are the basic laws of exponents? 52: How can we represent radicals using exponents? 53: What are zero and negative exponents?
54: How can we express radicals with fractional exponents?
55: How can we solve equations with fractional and negative exponents?
56: How can we solve exponential equations?
UNIT 6- Complex Numbers
Tuesday, November 16
57: How can we simplify radical expressions using i?
58: How can we simplify expressions i^2? Wednesday, November 17
59: How can we simplify powers of i?
60: How can we represent numbers as complex numbers? Thursday, November 18
61: How can we add and subtract complex numbers?
62: How can we multiply and "divide" complex numbers? Friday, November 19
Review and Regents Practice; Quiz Monday, November 22
64: How can we solve and check quadratic equations with complex roots?
65: How can we predict the nature of the roots of a quadratic equation? Tuesday, November 23
66: How can we find the sum and product of the roots of a quadratic equation?
67: How can we find a quadratic equation given its roots or their sum and product? Wednesday, November 24
Quiz, Review and practice, HW Packet Review and Periodic Assessment : Through 12/3
UNIT 7 - Systems and Inequalities Monday, Dec. 6
68:How can we solve a quadratic-linear system of equations algebraically? Tuesday, Dec. 7
69: How can we find and graph the solution sets of linear inequalities?
70: How can we find and graph the solution sets of compound inequalities? Wed, Dec. 8
71: How can we solve absolute value equations? Friday, Dec. 10
72: How can we solve absolute value inequalities? Monday, Dec. 13
73: How can we solve and graph quadratic inequalities?
Regents Practice Tuesday, Dec. 14
74: How can we solve rational inequalities?
75: Revisiting systems; systems with rationals. Thursday, Dec. 16
Using the calculator
Mixed Practice Friday, Dec. 17
Review
Test
UNIT 8 - Functions
Monday, Dec. 20
76: What is a Function?
How can we Find the Domain and Range of a Function?
How can we evaluate functions?
How can we Find the Domain and Range of a Function Graphically?
What is a one-to-one function?
What are the Function Familes?
Constant, Linear, Quadratic, Rational, Radical, Exponential
What are restricted domains?
How do we find the inverse of a function?
How can we evaluate a composition of functions?
How can we find a composite function?
What is an exponential function?
How can we solve appications of exponential functions?
Review and Periodic Assessment 3 2nd Semester Logarithms Trigonometry Sequences and Series Statistics &Probability
UNIT 1 - Polynomial Operations
Wednesday, Sept. 8
Connecting Geometry and Algebra
ADD Next Year: Like terms, combining, adding, subtracting.
R1: How can we check factors of trinomials by multiplying two binomials?
Monday, Sept. 13
Class Requirements
R2: How can we find the GCF of a set of integers?
1: How can we find the GCF of a Polynomial?
Tuesday, Sept. 14
2. How can we factor out a GCF?
3: How can we factor quadratic trinomials of the form ax^2 + bx +c? (a = 1)
Wednesday, Sept. 15
4: How can we factor quadratic trinomials when a is an integer greater than 1?
4P: Practice Factoring Quadratic Trinomials
Thursday, Sept. 16
5: How can we factor a difference of two perfect squares?
6: How can we factor perfect square trinomials?
Friday, Sept 17
7: How can we factor completely?
7P: Practice, QUIZ 1.
Monday, Sept 20
8: How can we decide which factoring method to use?
9: How can we factor by grouping?
UNIT 2 - Rational Expressions and Equations
Tuesday, Sept 21
10: When is a Rational Expression in Simplest Form?
11: When are Rational Expressions Undefined?
Wednesday, Sept 22
12: How can we Reduce Rational Expressions by Factoring Out -1?
13: How can we multiply rational expressions?
Thursday, Sept. 23
14: How can we divide rational expressions?
14P: Practice Multiplying and Dividing; Both in one expression / multi-variable.
Friday, Sept 24
15: How can we add and subtract rational expressions with like denominators?
15P: Mixed Multiple Choice Practice and Self-Assessment
Monday, Sept 27
16: How can we find equivalent expressions with lowest common denominators?
17: How can we add or subtract rational expressions?
Tuesday, Sept 28
17P: Practice, avoiding common errors.
18: How can we add or subtract mixed expressions?
Wednesday, Sept 29
19: How can we multiply or divide mixed expressions?
20: How can we simplify complex rational expressions by dividing?
Thursday, Sept 30
21: How can we simplify complex rational expressions using the LCD to cancel denominators?
Regents Practice
Friday, Oct 1
22: How can we perform operations on rational expressions?
23: How can we use operations on rational expressions to simplify complex rational expressions?
Tuesday, Oct 5
24: How can we solve proportions? (2 - period lesson; linear, quadratic)
Wednesday, Oct 6
25: How can we solve fractional equations by writing and solving a proportion?
26: How can we solve fractional equations using the LCD?
Thursday, Oct 6
27: How can we find extraneous roots of fractional equations?
27P: Practice solving fractional equations.
Friday, Oct 7
Test Preparation
Test One
Tuesday, Oct 12
Mini-Project: Applying Rational Equations in the Real World
UNIT 3 - Polynomial Equations
Wednesday, Oct 13
Practice solving quadratics by factoring.
PSAT
Thursday, Oct 14
29: How can we solve quadratics not in standard form?
30: How can we solve quadratics using square roots?
Friday, Oct 15
31: How can we "complete the square"? (Geometrically and algebraically)
32: How can we solve quadratic equations by completing the square?
Monday, Oct 18
33: How can we solve quadratic equations by completing the square when a is not equal to 1?
33P: Practice
Tuesday, Oct 19
34: How can we solve quadratics using the quadratic formula?
Quadratic Formula Practice
Wednesday, Oct 20
35: How can we avoid common errors when using the QF?
36: How can we choose which method to use when solving a quadratic equation?
Thursday, Oct 21Review and Practice
Friday, Oct 22
Periodic Assessment: 1 Per. MC; 1 Per. Extended Response
Monday, Oct 25
37: How can we solve higher order equations?
38: How can we determine the roots of a polynomial equation graphically?
Tuesday, Oct 26
38P: Practice solving higher-order equations.
39: How can we use factoring by grouping to solve polynomial equations?
UNIT 4 - Radical Expressions
Wednesday, Oct 27
40: What are roots and radicals?
41: How can we simplify radicals?
Thursday, Oct 28
42: How can we simplify radicals with variables in the radicand?
43: How can we add or subtract radicals?
Monday, Nov. 1
44: How can we combine radicals with variables in the radicand?
45: How can we multiply monomial radicals?
Wednesday, Nov. 3
46: How can we rationalize monomial radical denominators?
47: How can we multiply binomial radical expressions?
Thursday, Nov. 4
48: How can we use conjugates to rationalize binomial radical denominators?
Review and Mixed Practice
Friday, Nov. 5
QUIZ
49: How can we solve radical equations?
50: How can we solve radical equations that derive quadratics?
UNIT 5 - Exponents
Monday, Nov. 6
51: What are the basic laws of exponents?
52: How can we represent radicals using exponents?
53: What are zero and negative exponents?
54: How can we express radicals with fractional exponents?
55: How can we solve equations with fractional and negative exponents?
56: How can we solve exponential equations?
UNIT 6- Complex Numbers
Tuesday, November 16
57: How can we simplify radical expressions using i?
58: How can we simplify expressions i^2?
Wednesday, November 17
59: How can we simplify powers of i?
60: How can we represent numbers as complex numbers?
Thursday, November 18
61: How can we add and subtract complex numbers?
62: How can we multiply and "divide" complex numbers?
Friday, November 19
Review and Regents Practice; Quiz
Monday, November 22
64: How can we solve and check quadratic equations with complex roots?
65: How can we predict the nature of the roots of a quadratic equation?
Tuesday, November 23
66: How can we find the sum and product of the roots of a quadratic equation?
67: How can we find a quadratic equation given its roots or their sum and product?
Wednesday, November 24
Quiz, Review and practice, HW Packet
Review and Periodic Assessment : Through 12/3
UNIT 7 - Systems and Inequalities
Monday, Dec. 6
68:How can we solve a quadratic-linear system of equations algebraically?
Tuesday, Dec. 7
69: How can we find and graph the solution sets of linear inequalities?
70: How can we find and graph the solution sets of compound inequalities?
Wed, Dec. 8
71: How can we solve absolute value equations?
Friday, Dec. 10
72: How can we solve absolute value inequalities?
Monday, Dec. 13
73: How can we solve and graph quadratic inequalities?
Regents Practice
Tuesday, Dec. 14
74: How can we solve rational inequalities?
75: Revisiting systems; systems with rationals.
Thursday, Dec. 16
Using the calculator
Mixed Practice
Friday, Dec. 17
Review
Test
UNIT 8 - Functions
Monday, Dec. 20
76: What is a Function?
How can we Find the Domain and Range of a Function?
How can we evaluate functions?
How can we Find the Domain and Range of a Function Graphically?
What is a one-to-one function?
What are the Function Familes?
Constant, Linear, Quadratic, Rational, Radical, Exponential
What are restricted domains?
How do we find the inverse of a function?
How can we evaluate a composition of functions?
How can we find a composite function?
What is an exponential function?
How can we solve appications of exponential functions?
Review and Periodic Assessment 3
2nd Semester
Logarithms
Trigonometry
Sequences and Series
Statistics & Probability