Mr. Hall's
Algebra 2 Assignments
(Subject to Change! Check with Mr. Hall!)
| No. | Date | Pages | Sect. | Problems | goal date |
| Tuesday 1/5/10 | |||||
| 1 | 1/5 | Have Parent Sign Syllabus | 1/5 | ||
| What is this class all about? (Course Overview) | |||||
| How do you evaluate algebraic expressions? (1-1) | |||||
| How do you use algebraic formulas? (1-1) | |||||
| SPI 3103.1.4 Use mathematical language, symbols, definitions, proofs and counter examples correctly and precisely to effectively communicate reasoning in the process of solving problems via mathematical modeling with both linear and non-linear functions. | |||||
| 2-10 | 1/5 | 9 | 1-1 | 16-25 | 1/6 |
| 3-10 | 1/5 | 9 | 1-1 | 26-35 | |
| 4-12 | 1/5 | 9 | 1-1 | 38-49 | |
| Wednesday 1/6/10 | |||||
| How do you determine the sets a number belongs to? (1-2) | |||||
| How are number properties used to simplify expressions? (1-2) | |||||
| SPI 3103.1.4 Use mathematical language, symbols, definitions, proofs and counter examples correctly and precisely to effectively communicate reasoning in the process of solving problems via mathematical modeling with both linear and non-linear functions. | |||||
| 5-15 | 1/7 | 15 | 1-2 | 19-33 | 1/8 |
| 6-8 | 1/7 | 16 | 1-2 | 43-50 | 1/8 |
| 7-8 | 1/7 | 16 | 1-2 | 51-58 | 1/8 |
| Monday 1/11/10 | |||||
| How do you translate verbal sentences to algebraic sentences? (1-3) | |||||
| How do you solve equations using properties of equality? (1-3) | |||||
| How do you solve equations for different variables? (1-3) | |||||
| SPI 3103.1.4 Use mathematical language, symbols, definitions, proofs and counter examples correctly and precisely to effectively communicate reasoning in the process of solving problems via mathematical modeling with both linear and non-linear functions. | |||||
| 8-14 | 1/11 | 24 | 1-3 | 19-32 | 1/11 |
| 9-14 | 1/11 | 25 | 1-3 | 35-48 | 1/11 |
| 10-12 | 1/11 | 25 | 1-3 | 49-60 | 1/11 |
| 11-14 | 48 | review | 11-24 | ||
| 12-9 | 49 | review | 25-33 | ||
| 13-9 | 828 | 1-1 | 13-21 | ||
| 14-11 | 828 | 1-2 | 1-21 odd | ||
| 15-10 | 828 | 1-3 | 1-19 odd | ||
| Tuesday 1/12/10 | |||||
| TEST (1:1-3) | |||||
| How to you evaluate absolute value expressions? (1-4) | |||||
| How do you solve equations with absolute values? (1-4) | |||||
| 3103.3.18 Solve linear inequalities containing absolute values. | |||||
| 16-12 | 1/12 | 30 | 1-4 | 17-28 | 1/12 |
| 17-12 | 1/12 | 31 | 1-4 | 35-46 | 1/12 |
| Wednesday 1/13/10 | |||||
| How do you solve inequalities? (1-5) | |||||
| How do you graph solution sets of inequalities? (1-5) | |||||
| How do you write inequalities using interval notation? (1-5) | |||||
| 3103.3.18 Solve linear inequalities containing absolute values. | |||||
| 3103.3.18 Solve compound inequalities involving disjunction and conjunction. | |||||
| 18-12 | 1/13 | 37 | 1-5 | 15-26 | 1/12 |
| 19-10 | 1/13 | 37 | 1-5 | 27-36 | 1/12 |
| Thursday 1/14/10 | |||||
| How do you solve compound inequalities? (1-6) | |||||
| How do you solve inequalities containing absolute values? (1-6) | |||||
| 3103.3.18 Solve linear inequalities containing absolute values. | |||||
| 3103.3.18 Solve compound inequalities involving disjunction and conjunction. | |||||
| 20-12 | 1/14 | 44 | 1-6 | 15-26 | 1/13 |
| 21-14 | 1/14 | 44 | 1-6 | 27-40 | 1/13 |
| 22-ec | 49-50 | chap 1 | 34-45 | ||
| 23-ec | 50 | chap 1 | 46-51 | ||
| opt | 829 | 1-4 | 1-29 | ||
| opt | 829 | 1-5 | 1-25 | ||
| opt | 829 | 1-6 | 1-24 | ||
| Friday 1/15/10 | |||||
| Test (Chap 1:4-6) | |||||
| Tuesday 1/19/10 | |||||
| How do you graph relations? (2-1) | |||||
| How to you find the domain and range or a relation? (2-1) | |||||
| How can you tell if a relation is a function? (2-1) | |||||
| How do you find values for functions, given specific domains? (2-1) | |||||
| 3103.3.2 Determine the domain of a function represented in either symbolic or graphical form. | |||||
| 24-12 | 1/19 | 60-61 | 2-1 | 17-28 | 1/15 |
| 25-13 | 1/19 | 61 | 2-1 | 29-33,46-53 | 1/15 |
| Wednesday 1/20/10 | |||||
| How can you identify and graph linear equations? (2-2) | |||||
| How do you write linear equations in standard form? (2-2) | |||||
| How do you determine the intercepts of a line and use them to graph? (2-2) | |||||
| 33103.5.1 Collect, represent and describe both linear and nonlinear data developed from contextual situations | |||||
| 33103.5.2 Organize and display data using appropriate methods (including spreadsheets and technology tools) to detect patterns and departures from patterns. | |||||
| 26-9 | 1/20 | 65 | 2-2 | 4-12 | 1/15 |
| 27-12 | 1/20 | 66 | 2-2 | 15-26 | 1/15 |
| 28-20 | 1/20 | 66 | 2-2 | 30-49 | 1/15 |
| Thursday 1/21/10 | |||||
| How do you determine the slope of a line? (2-3) | |||||
| How do you use slope and a point to graph a line? (2-3) | |||||
| How do you determine if two lines are parallel? (2-3) | |||||
| How do you determine if two lines are perpendicular? (2-3) | |||||
| 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs. | |||||
| 29-14 | 1/20 | 72 | 2-3 | 15-28 | 1/19 |
| 30-16 | 1/20 | 72 | 2-3 | 29-36,43-50 | 1/19 |
| Friday 1/22/10 | |||||
| How do you write an equation in slope-intercept form? (2-4) | |||||
| Given a line, how do you write an equation of a line parallel to it? (2-4) | |||||
| Given a line, how do you write an equation of a line perpendicular to it? (2-4) | |||||
| SPI 3103.1.4 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely to effectively communicate reasoning in the process of solving problems via mathematical modeling with both linear and non-linear functions. | |||||
| Given a line, how do you write an equation of a line parallel to it? (2-4) | |||||
| Given a line, how do you write an equation of a line perpendicular to it? (2-4) | |||||
| 31-10 | 1/22 | 78-79 | 2-4 | 13-22 | 1/20 |
| 32-16 | 1/22 | 79 | 2-4 | 23-38 | 1/20 |
| Monday 1/25/10 | |||||
| How do you sketch graphs of inequalities with two variables? (2-7) | |||||
| How do you sketch graphs of absolute value inequalities? (2-7) | |||||
| 33-16 | 1/25 | 98 | 2-7 | 13-28,31 | 1/21 |
| 34-17 | 101 | review | 9-25 | 1/21 | |
| 35-14 | 102 | review | 26-39 | ||
| 35a-12opt | 831 | 2-4 | 1-12 | ||
| 35b-15opt | 832 | 2-7 | 1-15 | ||
| 36-6opt | 104 | 2-7 | 49-54 | ||
| TEST Chapter 2:1-4; 7 | |||||
| Tuesday 1/26/10--Wednesday 1/27/10 | |||||
| CLE 3103.3.4 Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph. | |||||
| CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena. | |||||
| SPI 3103.3.13 Solve contextual problems using quadratic, rational, radical and exponential equations, finite geometric series or systems of equations. | |||||
| How do you solve systems of equations by graphing? (3-1) | |||||
| How do you solve systems of equations with graphing calculators? (3-1) | |||||
| 37-6 | 1/28 | 112 | 3-1 | 4-9 | 1/25 |
| 38-18 | 1/28 | 113 | 3-1 | 16-33 | 1/25 |
| Monday 2/1/10 | |||||
| CLE 3103.3.4 Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph. | |||||
| CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena. | |||||
| SPI 3103.3.13 Solve contextual problems using quadratic, rational, radical and exponential equations, finite geometric series or systems of equations. | |||||
| How do you solve systems of equations using elimination? (3-2) | |||||
| How do you solve systems of equations using substitution? (3-2) | |||||
| 39-12 | 2/1 | 120 | 3-2 | 13-24 | 1/26 |
| 40-12 | 2/1 | 120 | 3-2 | 25-36 | 1/26 |
| Tuesday 2/2/10 | |||||
| CLE 3103.3.4 Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph. | |||||
| CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena. | |||||
| SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities. | |||||
| How do you solve systems of inequalities by graphing? (3-3) | |||||
| 41-10 | 2/3 | 125 | 3-3 | 3-9 | 1/27 |
| 42-12 | 2/3 | 126 | 3-3 | 12-23 | 1/27 |
| 43-6 | 2/3 | 126 | 3-3 | 24-29 do 26! | 1/27 |
| Wednesday & Thursday 2/3/10 & 2/4/10 | |||||
| 3103.3.19 Solve linear programming problems. | |||||
| How do you find maximum and minimum values of a function? (3-4) | |||||
| How do you use linear programming to solve real-world problems? (3-4) | |||||
| 44-12 | 2/4 | 132 | 3-4 | 15-26 | 1/28 |
| 45-4 | 145 | review | 11-14 | 9/8 | |
| 46-10 | 146-147 | review | 15-24 | 9/8 | |
| 46a-27 | 832 | 3-1 & 3-2 | all | 9/8 | |
| 46b-27 | 833 | 3-3 & 3-4 | all | 9/8 | |
| TEST: Chapter 3:1-4 | |||||
| Monday 2/8/10 | |||||
| What is a matrix? (4-1) | |||||
| How do you perform scalar/matrix multiplication? (4-1) | |||||
| How do you solve matrices for variables? (4-1) | |||||
| 3103.3.8 Solve a three by three system of linear equations algebraically and by using inverse matrices and determinants with and without technology. | |||||
| 47-16 | 2/9 | 156-57 | 4-1 | 10-25 | 2/2 |
| How do you add and subtract matrices? (4-2) | |||||
| 48-10 | 2/9 | 164 | 4-2 | 14-23 | 2/2 |
| How do you multiply matrices? (4-3) | |||||
| 3103.3.8 Solve a three by three system of linear equations algebraically and by using inverse matrices and determinants with and without technology. | |||||
| 49-14 | 2/10 | 172 | 4-3 | 13-26 | 2/3 |
| How do you evaluate determinants? (4-5) | |||||
| How do you find areas of triangles given vertex coordinates? (4-5) | |||||
| 50-8 | 2/16 | 185-86 | 4-5 | 7-14 | 2/3 |
| 51-24 | 2/16 | 186 | 4-5 | 15-38 | 2/3 |
| What is an identity matrix? (4-7) | |||||
| When do matrices have inverses? (4-7) | |||||
| How do you find the inverse of a matrix? (4-7) | |||||
| 52-22 | 2/16 | 199 | 4-7 | 10-31 | 2/4 |
| Thursday 2/11/10 | |||||
| How can you use matrices to solve systems of equations? (4-8) | |||||
| 53-8 | 206 | 4-8 | 12-19 | 2/4 | |
| 54-12 | 206 | 4-8 | 20-31 | 2/4 | |
| 55-28ec | 210 | review | 11-22,27-32,39-48 | ||
| Friday 9/11/09 | |||||
| Test: Matrices (4:1-8) | |||||
| Monday 9/14/09 | |||||
| 3103.3.21 Factor polynomials using a variety of methods including sums and differences of cubes and grouping | |||||
| SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents. | |||||
| How do you use the power properties to work with monomials? (5-1) | |||||
| How do you multiply and divide monomials with multiple variables? (5-1) | |||||
| How do you solve problems using Scientific Notation? (5-1) | |||||
| 56-14 | 226 | 5-1 | 4-17 | 2/9 | |
| 57-15 | 226 | 5-1 | 18-32 | 2/9 | |
| 58-11 | 227 | 5-1 | 33-43 | 2/9 | |
| 59-15 | 227 | 5-1 | 44-58 | 2/9 | |
| Tuesday 9/15/09 | |||||
| SPI 3103.3.1 Add, subtract and multiply polynomials: divide a polynomial by a lower degree polynomial | |||||
| How do you multiply polynomials? (5-2) | |||||
| How do you add and subtract polynomials? (5-2) | |||||
| 60-12 | 231 | 5-2 | 4-15 | 2/11 | |
| 61-18 | 231 | 5-2 | 16-33 | 2/11 | |
| 62-14 | 232 | 5-2 | 37-50 | 2/11 | |
| Friday 9/18/09 | |||||
| 33103.3.1 Perform operations on algebraic expressions and justify the procedures. | |||||
| 33103.3.21 Factor polynomials using a variety of methods including the factor theorem, synthetic division, long division, sums and differences of cubes, and grouping. | |||||
| SPI 3103.3.1 Add, subtract and multiply polynomials: divide a polynomial by a lower degree polynomial | |||||
| How do you do polynomial long division? (5-3) | |||||
| How do you do polynomial synthetic division? (5-3) | |||||
| 63-10 | 236 | 5-3 | 4-13 | 2/17 | |
| 64-14 | 236-37 | 5-3 | 15-28 | 2/17 | |
| 65-14 | 237 | 5-3 | 29-42 | 2/17 | |
| 65a-18 | 277 | review | 11-28 | 9/29 | |
| 65b-11 | 836 | 5-1 | 17-27 | 9/29 | |
| 65c-10 | 837 | 5-2 | 11-20 | 9/29 | |
| 65d-13 | 837 | 5-3 | 1-13 | 9/29 | |
| Monday 9/21/09 | |||||
| 33103.3.1 Perform operations on algebraic expressions and justify the procedures. | |||||
| 33103.3.21 Factor polynomials using a variety of methods including the factor theorem, synthetic division, long division, sums and differences of cubes, and grouping. | |||||
| SPI 3103.3.1 Add, subtract and multiply polynomials: divide a polynomial by a lower degree polynomial | |||||
| Test 5:1-3 | |||||
| Thursday 9/24/09 | |||||
| 33103.3.21 Factor polynomials using a variety of methods including the factor theorem, synthetic division, long division, sums and differences of cubes, and grouping. | |||||
| SPI 3103.3.1 Add, subtract and multiply polynomials: divide a polynomial by a lower degree polynomial | |||||
| How do you factor out GCFs from polynomials? (5-4) | |||||
| How do you factor the difference of two squares? (5-4) | |||||
| How do you factor the sum and difference of two cubes? (5-4) | |||||
| How do you factor trinomials? (5-4) | |||||
| How do you factor four terms by grouping? (5-4) | |||||
| 66-11 | 242 | 5-4 | 4-14 | 2/19 | |
| 67-14 | 242 | 5-4 | 15-28 | 2/19 | |
| 68-11 | 243 | 5-4 | 29-39 | 2/19 | |
| Thursday 9/24/09 | |||||
| 33103.3.6 Simplify expressions and solve equations containing radicals. | |||||
| How do you simplify radicals with different indices? (5-5) | |||||
| How do you approximate roots of rational numbers? (5-5) | |||||
| 69-24 | 248 | 5-5 | 4-27 | 2/23 | |
| 70-24 | 248 | 5-5 | 28-51 | 2/23 | |
| Monday 9/28/09 | |||||
| 33103.3.6 Simplify expressions and solve equations containing radicals. | |||||
| How do you simplify radical expressions? (5-6) | |||||
| How do you rationalize denominators with radicals? (5-6) | |||||
| How do you perform operations on radical expressions? (5-6) | |||||
| How do you use conjugates to simplify radical expressions? (5-6) | |||||
| 71-11 | 254 | 5-6 | 4-14 | 2/23 | |
| 72-20 | 254 | 5-6 | 15-34 | 2/23 | |
| 73-12 | 254 | 5-6 | 35-46 | 2/23 | |
| 74ec | 838 | 5-6 | 1-32 | 10/16 | |
| 75ec | 838 | 5-5 | 1-28 | 10/16 | |
| 76ec | 837 | 5-4 | 1-30 | 10/16 | |
| 77ec | 278 | review | 29-51 | 10/16 | |
| Tuesday 9/26/09 | |||||
| 33103.3.6 Simplify expressions and solve equations containing radicals. | |||||
| Test (5:4-6) | |||||
| opt | 838 | 5-6 | 1-32 | ||
| opt | 838 | 5-5 | 1-28 | ||
| opt | 837 | 5-4 | 1-30 | ||
| opt | 278 | review | 29-51 | ||
| Test (5:4-6) | |||||
| SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents. | |||||
| 33103.3.6 Simplify expressions and solve equations containing radicals. | |||||
| How do you write expressions with rational exponents in radical form? (5-7) | |||||
| How do you simplify expressions with rational exponents? (5-7) | |||||
| How do you evaluate expressions with rational exponents? (5-7) | |||||
| 1-16 | 261 | 5-7 | 4-19 | 3/1 | |
| 2-20 | 261 | 5-7 | 21-40 | 3/1 | |
| 3-18 | 261 | 5-7 | 41-58 | 3/1 | |
| Monday 10/12/09 | |||||
| SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents. | |||||
| 33103.3.6 Simplify expressions and solve equations containing radicals. | |||||
| How do you solve equations with radical expressions? (5-8) | |||||
| How do you solve inequalities with radical expressions? (5-8) | |||||
| 4-16 | 266 | 5-8 | 4-9,13-22 | 3/5 | |
| 5-6 | 266 | 5-8 | 23-24,29-32 | 3/5 | |
| Tuesday & Wednesday 10/13/09 & 10/14/09 | |||||
| How do you simplify square roots with negative radicands? (5-9) | |||||
| How do you solve quadratic equations with imaginary roots? (5-9) | |||||
| How do you add and subtract complex numbers? (5-9) | |||||
| How do you multiply and divide complex numbers? (5-9) | |||||
| How do you simplify expressions with complex numbers? (5-9) | |||||
| How do you use complex conjugates to rationalize denominators? (5-9) | |||||
|
33103.2.3 Identify and apply properties of
complex numbers (including simplification and
standard form). 33103.2.4 Add and subtract complex numbers. 33103.2.5 Multiply complex numbers. 33103.2.6 Define and utilize the complex conjugates to write the quotient of two complex numbers in standard form. 33103.2.13 Analyze and evaluate contextual situations involving any type of number from the complex number system. 33103.2.10 Draw conclusions based on number concepts, algebraic properties, and/or relationships between expressions and numbers over complex numbers. |
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| 6-13 | 273-74 | 5-9 | 4-16 | 3/8 | |
| 7-12 | 274 | 5-9 | 18-29 | 3/8 | |
| 8-12 | 274 | 5-9 | 30-41 | 3/8 | |
| 9-10 | 274 | 5-9 | 42-51 | 3/8 | |
| 10-10 | 274 | 5-9 | 52-61 | 3/8 | |
| Test: 5:7-9 | |||||
| Monday 10/19/09 | |||||
| 33103.3.4 Analyze the effect of changing various parameters on functions and their graphs. | |||||
| How do you write functions in quadratic form? (6-1) | |||||
| How do you identify maximum and minimum values for quadratic functions? (6-1) | |||||
| How do you find intercepts for graphs of quadratic equations? (6-1) | |||||
| How do you graph quadratic functions? (6-1) | |||||
| How do you use graphing calculators to graph quadratic functions? (6-1) | |||||
| 11-12 | 290 | 6-1 | 1-5 | 3/11 | |
| 12-15 | 290-91 | 6-1 | 6-12 | 3/11 | |
| 13-18 | 291 | 6-1 | 14-19 | 3/11 | |
| 14-24 | 291 | 6-1 | 20-27 | 3/11 | |
| 15-12 | 291 | 6-1 | 32-43 | 3/11 | |
| Tuesday 10/20/09 | |||||
|
SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial. |
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|
3103.3.7 Solve quadratic equations by factoring,
graphing, completing the square, extracting
square roots and using the quadratic formula. 3103.3.11 Describe and articulate the characteristics and parameters of a parent function. 3103.12 Understand the relationship between real zeros of a function and the x-intercepts of its graph. |
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| How do you solve quadratic equations? (6-2) | |||||
| How do you find roots of quadratic equations? (6-2) | |||||
| How do you use graphing calculators to solve quadratic equations? (6-2) | |||||
| How do you find zeros of quadratic functions? (6-2) | |||||
| 16-9 | 297 | 6-2 | 4-12 | 3/15 | |
| 17-10 | 297-98 | 6-2 | 14-23 | 3/15 | |
| 18-12 | 298 | 6-2 | 24-35 | 3/15 | |
| Wednesday 10/21/09 | |||||
|
SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial. |
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|
3103.3.7 Solve quadratic equations by factoring,
graphing, completing the square, extracting
square roots and using the quadratic formula. 3103.3.11 Describe and articulate the characteristics and parameters of a parent function. 3103.12 Understand the relationship between real zeros of a function and the x-intercepts of its graph. |
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| What is the "Zero Product Property"? (6-3) | |||||
| How do you solve quadratic equations by factoring? (6-3) | |||||
| How do you write a quadratic equation when only given the roots? (6-3) | |||||
| 19-10 | 303 | 6-3 | 4-13 | 3/16 | |
| 20-12 | 304 | 6-3 | 14-25 | 3/16 | |
| 21-16 | 304 | 6-3 | 26-41 | 3/16 | |
| Thursday and Friday 10/22/09 & 10/23/09 | |||||
|
SPI 3103.3.2 Solve quadratic equations and systems and determine roots of a higher order polynomial. Check for Understanding 3103.3.7 Solve quadratic equations by factoring, graphing, completing the square, extracting square roots and using the quadratic formula. |
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| How do you "complete the square" of a quadratic equation? (6-4) | |||||
| How do you solve quadratic equations by completing the square? (6-4) | |||||
| 22-13 | 310 | 6-4 | 4-11,14-19 | 3/17 | |
| 23-12 | 311 | 6-4 | 24-35 | 3/17 | |
| 24-10 | 311 | 6-4 | 36-45 | 3/17 | |
| Monday 11/09/09 | |||||
|
SPI 3103.3.2 Solve quadratic equations and systems and determine roots of a higher order polynomial. |
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| 3103.3.7 Solve quadratic equations by factoring, graphing, completing the square, extracting square roots and using the quadratic formula. | |||||
| What is the quadratic formula (6-5) | |||||
| How do you derive the quadratic formula by completing the square? (6-5) | |||||
| What is the discriminant? (6-5) | |||||
| What does the discriminant tell you about a quadratic equation? (6-5) | |||||
| How do you use the quadratic formula to solve quadratic equations? (6-5) | |||||
| 25-24 | 318 | 6-5 | 14-21 | 3/18 | |
| 26-12 | 318 | 6-5 | 28-39 | 3/18 | |
| Tuesday 11/10/09 | |||||
|
SPI 3103.3.2 Solve quadratic equations and systems and determine roots of a higher order polynomial. |
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| 3103.3.7 Solve quadratic equations by factoring, graphing, completing the square, extracting square roots and using the quadratic formula. | |||||
| Test: 6:1-5 | |||||
| Wednesday 11/11/09 | |||||
| How do you find the distance between two points in a coordinate plane? (8-1) | |||||
| How do you find the midpoint of two points in a coordinate plane? (8-1) | |||||
| SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph. | |||||
| 3103.3.9 Find an equation for a parabola when given its graph or when given its roots. | |||||
| 27-8 | 414 | 8-1 | 10-17 | 3/22 | |
| 28-10 | 415 | 8-1 | 24-33 | 3/22 | |
| Thursday 11/12/09 | |||||
| SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph. | |||||
| 33103.3.20 Understand the relationships between the equations of conic sections and their graphs. | |||||
| How do you write an equation for a circle? (8-3) | |||||
| How do you graph a circle given its conic section equation? (8-3) | |||||
| 29-10 | 429 | 8-3 | 4-13 | 3/24 | |
| 30-10 | 429 | 8-3 | 16-25 | 3/24 | |
| 31-14 | 430 | 8-3 | 30-43 | 3/24 | |
| SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph. | |||||
| 33103.3.20 Understand the relationships between the equations of conic sections and their graphs. | |||||
| What are conic sections? (8-6) | |||||
| How do you write equations of conic sections in standard form? (8-6) | |||||
| How do you identify conic sections from their equations? (8-6) | |||||
| How do you graph equations of conic sections using graphing calculators? (8-6) | |||||
| 32-8 | 450 | 8-6 | 4-11 | 3/26 | |
| 33-21 | 451 | 8-6 | 12-21 | 3/26 | |
| 34-8 | 451 | 8-6 | 22-29 | 3/26 | |
| 35-8 | 451 | 8-6 | 33-40 | 3/26 | |
| Monday 11/09/09 | |||||
| SPI 3103.3.11 Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph. | |||||
| 33103.3.20 Understand the relationships between the equations of conic sections and their graphs. | |||||
| SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial. | |||||
| How do you solve systems of conic section equations? (8-7) | |||||
| How do you use graphing calculators to finds points of intersection of conic section equations? (8-7) | |||||
| 36-6 | 458 | 8-7 | 4-9 | 4/5 | |
| 37-8 | 458 | 8-7 | 11-18 | 4/5 | |
| 38-6 | 458 | 8-7 | 19-24 | 4/5 | |
| 39-6 | 459 | 8-7 | 32-37 | 4/5 | |
| 39a-14 | 845 | 8-1 | 1-14 | 11/30 | |
| 39b-14 | 845 | 8-3 | 4-17 | 11/30 | |
| 39c-10 | 846 | 8-6 | 1-10 | 11/30 | |
| 39d-10 | 846 | 8-6 | 11-20 | 11/30 | |
| 39e-13 | 847 | 8-7 | 1-13 | 11/30 | |
| 39f-13 | 462-463 | 8-1,3 | 11-16; 23-29 | 12/1 | |
| 39f-11 | 466 | 8-6,7 | 39-50 | 12/1 | |
| Tuesday and Wednesday 11/10/09 & 11/11/09 | |||||
| Test: 8:1-7 | |||||
| 33103.3.20 Understand the relationships between the equations of conic sections and their graphs. | |||||
| SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents. | |||||
| What is a rational expression? (9-1) | |||||
| What is a complex fraction? (9-1) | |||||
| How do you simplify rational expressions? (9-1) | |||||
| How do you simplify complex fractions? (9-1) | |||||
| 40-9 | 476 | 9-1 | 4-12 | 4/12 | |
| 41-16 | 476 | 9-1 | 14-29 | 4/12 | |
| 42-12 | 476 | 9-1 | 30-41 | 4/12 | |
| Monday & Tuesday 11/16/09 and 11/17/09 | |||||
| SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents. | |||||
| How do you find polynomial LCMs? (9-2) | |||||
| How do you add and subtract rational expressions with Monomials? (9-2) | |||||
| How do you add and subtract rational expressions with polynomials? (9-2) | |||||
| 43-9 | 482 | 9-2 | 4-12 | 4/14 | |
| 44-8 | 482 | 9-2 | 14-21 | 4/14 | |
| 45-12 | 482 | 9-2 | 22-33 | 4/14 | |
| 46-8 | 483 | 9-2 | 34-41 | 4/14 | |
| 46a-14 | 847 | 9-1 | 1-14 | ||
| 46b-22 | 847 | 9-2 | 1-22 | ||
| Wednesday 11/18/09 | |||||
| Test: 9:1-2 | |||||
| SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent. | |||||
| What is a rational function? (9-3) | |||||
| What is an asymptote? (9-3) | |||||
| What is a point discontinuity? (9-3) | |||||
| How do you find all vertical asymptotes in a rational function? (9-3) | |||||
| How do you find all horizontal asymptotes in a rational function? (9-3) | |||||
| How do you find all point discontinuities in a rational function? (9-3) | |||||
| 47-8 | 488 | 9-3 | 4-11 | 4/16 | |
| 48-9 | 489 | 9-3 | 16-24 | 4/16 | |
| 49-15 | 489 | 9-3 | 25-39 | 4/16 | |
| Thursday 11/19/09 | |||||
| SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent. | |||||
| What is direct variation? (9-4) | |||||
| What is inverse variation? (9-4) | |||||
| What is joint variation? (9-4) | |||||
| How do you solve problems involving variation? (9-4) | |||||
| 50-6 | 495 | 9-4 | 4-9 | 4/20 | |
| 51-11 | 496 | 9-4 | 14-24 | 4/20 | |
| 52-6 | 496 | 9-4 | 25-30 | 4/20 | |
| 53-7 | 496 | 9-4 | 31-37 | 4/20 | |
| Monday 11/23/09 | |||||
| SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent. | |||||
| How do you solve rational equations? (9-6) | |||||
| How do you solve rational inequalities? (9-6) | |||||
| How do you determine excluded values from rational equations and inequalities? (9-6) | |||||
| 54-4 | 509 | 9-6 | 4-7 | 4/21 | |
| 55-6 | 510 | 9-6 | 11-14;17-18 | 4/21 | |
| 56-8 | 510 | 9-6 | 23-30 | 4/21 | |
| 55-12 | 510 | 9-6 | 11-14;17-18;23-28 | ||
| Tuesday 11/24/09 | |||||
| Test: 9:3-6 | |||||
| Monday 11/30/09 | |||||
| SPI 3103.3.5 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent. | |||||
| What is an exponential function? (10-1) | |||||
| What is the property of equality for exponential functions? (10-1) | |||||
| What is exponential growth? (10-1) | |||||
| What is exponential decay? (10-1) | |||||
| How do you simplify exponential expressions and functions? (10-1) | |||||
| 57-15 | 527 | 10-1 | 3-18 | 4/26 | |
| 58-17 | 528 | 10-1 | 21-38 | 4/26 | |
| 59-15 | 528 | 10-1 | 39-53 | 4/26 | |
|
CLE 3103.5.4 Develop an understanding of
probability concepts in order to make informed
decisions. SPI 3103.5.8 Apply probability concepts such as conditional probability and independent events to calculate simple probability. |
|||||
| Unlocking the Mystery of Life | |||||
| Tuesday & Wednesday 12/01/09 &12/02/09 | |||||
| 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions. | |||||
| 33103.1.8 Understand and describe the inverse relationship between exponential and logarithmic functions | |||||
| How do you write exponential equations in logarithmic form? (10-2) | |||||
| How do you evaluate logarithmic expressions? (10-2) | |||||
| How do you solve inequalities involving logarithmic functions? (10-2) | |||||
| How do you solve equations involving logarithmic functions? (10-2) | |||||
| 60-14 | 535 | 10-2 | 4-17 | 4/29 | |
| 61-12 | 536 | 10-2 | 21-32 | 4/29 | |
| 62-10 | 536 | 10-2 | 33-42 | 4/29 | |
| 63-12 | 536 | 10-2 | 47-58 | 4/29 | |
| Monday 12/07/09 | |||||
| 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems. | |||||
| 33103.1.8 Understand and describe the inverse relationship between exponential and logarithmic functions | |||||
| What is the product property of logarithms? (10-3) | |||||
| What is the quotient property of logarithms? (10-3) | |||||
| What is the power property of logarithms? (10-3) | |||||
| How do you simplify and evaluate expressions using properties of logarithms? (10-3) | |||||
| How do you solve equations using logarithms? (10-3) | |||||
| 64-7 | 544 | 10-3 | 4-10 | 5/3 | |
| 65-10 | 544 | 10-3 | 13-22 | 5/3 | |
| 66-10 | 544 | 10-3 | 23-32 | 5/3 | |
| Tuesday 12/08/09 | |||||
| 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems. | |||||
| 33103.1.8 Understand and describe the inverse relationship between exponential and logarithmic functions | |||||
| 33103.3.17 Know that the logarithm and exponential functions are inverses and use this information to solve real-world problems. | |||||
| What is the "change of base" formula for logarithms? (10-4) | |||||
| What are common logarithms? (10-4) | |||||
| How can you use common logarithms to solve exponential equations? (10-4) | |||||
| How do you evaluate expressions involving logs with different bases? (10-6) | |||||
| 67-12 | 549 | 10-4 | 4-15 | 5/4 | |
| 68-10 | 549 | 10-4 | 17-26 | 5/4 | |
| 69-14 | 550 | 10-4 | 27-40 | 5/4 | |
| Wednesday 12/08/09 | 5/4 | ||||
| 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions. | 5/4 | ||||
| 33103.3.17 Know that the logarithm and exponential functions are inverses and use this information to solve real-world problems. | 5/4 | ||||
| What is a natural base exponential function? (10-5) | 5/4 | ||||
| Ho do you evaluate natural logarithmic expressions? (10-5) | 5/4 | ||||
| How do you solve base "e" equations? (10-5) | 5/4 | ||||
| How do you solve natural log equations and inequalities? (10-5) | 5/4 | ||||
| 70-13 | 557 | 10-5 | 4-17 | 5/4 | |
| 71-8 | 557 | 10-5 | 20-27 | 5/4 | |
| 72-11 | 558 | 10-5 | 30-40 | 5/4 | |
| 73-13 | 558 | 10-5 | 41-53 | 5/4 | |
| Thursday 12/09/09 | |||||
| Test over Logarithms | |||||
| Friday 12/10/09 | |||||
| SPI 3103.4.1 Exhibit knowledge of unit circle trigonometry | |||||
| 33103.4.3 Extend the trigonometric functions to periodic functions on the real line by defining them as functions on the unit circle. | |||||
| What are the six trigonometric functions? (13-1) | |||||
| How do you find values for the trig functions for angles < 90 degrees? (13-1) | |||||
| How do you use trig functions to solve right triangle problems? (13-1) | |||||
| How do you use calculators to find trig function values? (13-1) | |||||
| 73-9 | 706 | 13-1 | 4-12 | ||
| 74-12 | 706-07 | 13-1 | 15-26 | ||
| 75-10 | 707 | 13-1 | 27-36 | ||
| 33103.4.1 Convert between radians and degrees and vice versa. | |||||
| 33103.4.4 Understand the relationship between the radius, the central angle, and radian measure. | |||||
| What are radians? (13-2) | |||||
| What is a unit circle? (13-2) | |||||
| How do you write angles in standard position on a Cartesian coordinate plane? (13-2) | |||||
| How do you indentify coterminal angles? (13-2) | |||||
| How do you change degree measures to radian measures (and vice-versa)? (13-2) | |||||
| 76-13 | 712 | 13-2 | 4-16 | ||
| 77-16 | 712-13 | 13-2 | 19-34 | ||
| 78-17 | 713 | 13-2 | 35-51 | ||
| SPI 3103.4.1 Exhibit knowledge of unit circle trigonometry | |||||
|
33103.1.7 Use the unit circle to determine the
exact value of trigonometric functions for
commonly used angles (0°, 30°, 45°, 60°…). 33103.4.3 Extend the trigonometric functions to periodic functions on the real line by defining them as functions on the unit circle. |
|||||
| What are "reference" angles? (13-3) | |||||
| How do you find trig functions for angles >90 degrees? (13-3) | |||||
| 79-12 | 722 | 13-3 | 4-15 | ||
| 80-16 | 722 | 13-3 | 17-32 | ||
| 81-12 | 733 | 13-3 | 33-44 | ||
| Test: Trigonometry (13:1-3) | |||||
| Monday 12/14/09 | |||||
| SPI 3103.4.3 Describe and articulate the characteristics and parameters of parent trigonometric functions to solve contextual problems. | |||||
| CLE 3103.4.4 Know and use the Law of Sines to find missing sides and angles of a triangle, including the ambiguous case. | |||||
| What is the law of sines? (13-4) | |||||
| How is the law of sines derived? (13-4) | |||||
| When using the law of sines, why do some solutions turn out to be ambiguous? (13-4) | |||||
| How can general triangle problems be solved using the law of sines? (13-4) | |||||
| 67-5 | 797 | 13-4 | 21,22,25,27,30 | ||
| CLE 3103.4.4 Know and use the Law of Sines to find missing sides and angles of a triangle, including the ambiguous case. | |||||
| SPI 3103.4.3 Describe and articulate the characteristics and parameters of parent trigonometric functions to solve contextual problems. | |||||
| What is the law of cosines? (13-5) | |||||
| How is the law of cosines derived? (13-5) | |||||
| How can general triangle problems be solved using the law of cosines? (13-5) | |||||
| How can programmed calculators be used to solve general triangle problems? (13-5) | |||||
| 68-8 | 802-03 | 13-5 | 12-19 | ||
| 69-10 | 803 | 13-5 | 20-29 | ||
| 70-5 | 797 | 13-5 | 23,24,26,36,39 | ||
| 71-13 | 817-18 | review | 41-53 | ||