UNIT 1:  Review Linear Functions and Systems of Equations (7 Weeks)  Knowledge and Skills     Pre Knowledge: Students will be able to simplify numeric (calculator allowed) and algebraic expressions (1.2)

1. Students will be able to solve multi-step equations (1.3) 2. Students will be able to solve multi-step inequalities (1.6) 3. Students will be able to solve word problems using equations and inequalities (1.3 and 1.5) 4. Students will be able to solve literal equations for a specified variable (1.4) 5. Students will be able to find the slope/rate of change of a linear function (2.2) 6. Students will be able to graph linear equations (2.3) 7. Students will be able to write equations of lines (2.4) 8. Students will be able to solve absolute value equations (1.7) 9. Students will be able to graph absolute value functions (2.8) 10. Students will be able to solve systems of equations graphically (3.1) 11. Students will be able to solve systems of equations algebraically (3.2) 12. Students will be able to solve word problems using systems of equations (3.1 AND 3.2)

OPTIONAL: Students will be able to solve word problems using linear programming (3.4)OPTIONAL: Students will be able to use matrices on the calculator to solve systems of equations (two and three variable systems) (3.6)  UNIT 2:  Quadratics (5Weeks)  Knowledge and Skills 

13. Students will be able to factor quadratics (5.2)14. Students will be able to simplify and rationalize radicals (5.3)15. Students will be able to perform operations (addition, subtraction, multiplication, and division)

with complex numbers (5.4)16. Students will be able to solve quadratic equations algebraically

a. By factoring (5.2)b. Using square roots (5.3)c. By completing the square (5.5)d. Quadratic Formula (5.6)

18. Students will be able to analyze quadratics equations graphically. (5.1)19. Students will be able to convert quadratic equations from/to standard form to/from vertex form (5.1)20. Students will be able to graph parabolas and describe the transformation from the parent function (5.1)Optional: Students will be able to find the focus and directrix of a parabola given its quadratic equation and write the quadratic equation of a parabola given its focus and directrix.

Page Break 

UNIT 3:  Polynomials (5 Weeks)  Knowledge and Skills    Pre Knowledge: Students will be able to use properties of exponents to evaluate and simplify expressions involving powers (6.1)

22. Students will be able to add, subtract, and multiply polynomials (6.3)23. Students will be able to factor polynomial expressions, including sums and differences of cubes and four term grouping. (6.4)23. Students will be able to divide polynomials using long and synthetic division. (6.5)24. Students will be able to solve polynomial equations by factoring (6.4)25. Students will be able to find the solutions of a polynomial equation given a zero or a factor (6.5) 26. Students will be able to solve polynomial equations graphically using a calculator (6.6) 27. Students will be able to analyze graphs of polynomial functions to: (6.8)

a. State the maximum number of turns. (ie: cubics turn a maximum of 2 times) b. State the relative min and max. c. Describe the end behavior

 Semester 2 

 UNIT 4:  Powers, Roots, and Radicals (4Weeks)  Knowledge and Skills 1. Students will be able to simplify numeric expressions with nth roots given a root chart (7.1) 2. Students will be able to use properties of exponents and radicals, and provide answer in the same format as presented (7.2) 3. Students will be able to simplify algebraic expressions with rational exponents (7.2) 4. Students will be able to simplify algebraic expressions with radicals (7.2) 5. Students will be able to graph square root and cube root functions and describe the transformation from the parent function. Students will be able to perform horizontal and vertical shifts, in addition to flipping over the x-axis (none over the y-axis) (7.5) 6. Students will be able to solve equations with rational exponents (7.6) 7. Students will be able to solve equations with radicals (7.6)

 

UNIT 5:  Exponential and Logarithmic Functions  (4 Weeks) 

 Knowledge and Skills 8. Students will be able to determine if a set of data represents exponential growth, exponential decay, or neither (8.2) 9. Students will be able to solve word problems using exponential growth and decay functions (8.1 & 8.2) 10. Students will know that the number e is a constant used for modeling exponential growth and decay (8.3) 11. Students will be able to convert from/to exponential form to/from logarithmic form (8.4) 12. Students will be able to use properties of logarithms to condense and expand logarithmic expressions (8.5) 13. Students will be able to solve exponential equations (8.6) 14. Students will be able to solve logarithmic equations (8.6) 15. Students will be able to graph exponential and logarithmic functions using a calculator (8.1) 16. Students will be able to solve real-world problems using continuous and compound interest (8.1 & 8.3)

 UNIT 6: Trigonometric Ratios and Functions (5 Weeks) Knowledge and Skills: 17. Students will be able to answer questions regarding right triangle trigonometry: soh-cah-toa, solving for angles and sides, 45-45-90 triangles, 30-60-90 triangles, and word problems (13.1) 18. Students will be able to convert from/to degrees to/from radians (13.2) 19. Students will be able to find the value of the six trigonometric functions (sine, cosine, tangent, cosine, cosecant, cotangent) given an angle measure on the unit circle (13.3) (unit circle will be given to students for the final) 20. Students will be able to find the value of the remaining trigonometric functions given the quadrant of the angle and the ratio of one trigonometric function (13.3) (questions regarding degrees will be 0-360) 21. Students will be able to graph sine and cosine functions and describe (14.1) (not tangent graphs) a. The amplitude b. The period 22. Students will be able to model real-world situations using sine and cosine functions (Chapter 13 numerous sections) 23. Students will use the Law of Sines and the Law of Cosines to find missing measurements of a triangle (13.5 & 13.6) (no ambiguous cases)

Page Break UNIT 7:  Probability and Statistics (4 Weeks) 

 Knowledge and Skills 24. Students will be able to find the mean and standard deviation for a data set to fit the data to a normal curve (12.7) 25. Students will be able to estimate areas under a normal curve and explain the significance of these areas. (12.7) 26. Students will be able to find quartile ranges and outliers in a data set. (supplemented - stats resources) 27. Students will be able to calculate a sample mean of population from a data set (supplemented - stats resources) 28. Students will be able to apply counting principle in the context of a probability problem (12.3) 29. Students will be able to perform permutations and combinations given word problems (12.1 & 12.2)OPTIONAL: Students will be able to find the probability of independent and dependent events (12.5) OPTIONAL: Students will be able to find the probability of compound (and, or) events (12.4)