Mathematics. Smyth County Schools Curriculum Map Grade:11-12 Subject:Math Analysis MA.1, MA.6, MA.8, MA.9 MA.1, MA.2, MA.3.

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1 MA.1, MA.2, MA.3 Grade:11-12 Subject:Math Analysis 1st Quarter 2nd Quarter MA.1, MA.6, MA.8, MA.9 Standards Content Functions: Polynomial, linear, Radical, Rational, Irrational, One to One, Continuous and Discontinuous Graph and Solve any type of function Polynomial and Rational Functions Conic sections Exponential and Logarithmic Functions Into to Trigonometry Skills 1. Name the domain and range of Relations and Functions 2. Find compositions and inverses 3. applied functions: variation 4. Find Average Rate of Change 5. name increasing and decreasing intervals 6. write linear equations using different forms equations 1. solve rational equations and inequalities 2. decompose fractions 3. solve radical equations and inequalities 4. solve polynomial inequalities 5. Conic sections, circles, ellipses, hyperbolas 6. convert from logarithmic form to exponential form and vice versa 7. solve logarithms 8. solve common logarithmic and natural logarithmic equations and inequalities 9. solve equations involving powers of the same base 10. graph exponential and logarithmic functions 11. solve compound interest and annuity problems 12. find common logs, antilogs, natural logs, and antiln on the calculator 13. Convert radians to degrees and vice versa 14. Introduction to Trig if time allows 7. Write equations involving Parallel and Perpendicular lines 8. Determine if a graph has Symmetry with respect to the x- Dev. 03/2008 1

2 axis, y-axis, y=x, y=-x, the origin 9. Graph functions using Translations 10. determine if a function is odd or even 11. solve and graph radical functions 12. find and graph inverse functions 13. graph rational functions 14. write domain and range in set notation 15. Graph and analyze Piecewise functions 16. Graph Rational Functions and Asymptotes 17. Graph Inequalites 18. Write and equation for thetangent to a Curve 19. Find Derivatives(long and short method) 20. Determine the Critical Points of a graph Dev. 03/2008 2

3 21. Determing Continuity and End Behavior of functions 22. Graph Polynomial Equations using sign analysis 23. Graph Quadratic Equations and Inequalities and put the equations in standard form 24. Solve Equations involving The Remainder and Factor Theorems 25. Find the roots of an equation using The Rational Root Theorem Assessment 26. Find the Zeros 27. Find the x- and y-intercepts of any given equation Quizzes,Tests, Worksheets, Homework, Boardwork, Verbal Questioning Quizzes,Tests, Worksheets, Homework, Boardwork, Verbal Questioning, Exam Related Literature Precalculus Book, Supplemental Worksheets, Teacher made handouts Precalculus Book, Supplemental Worksheets, Teacher made handouts Dev. 03/2008 3

4 Technology TI-83 graphing calculator, overhead TI-83 graphing calculator, overhead Dev. 03/2008 4

5 3rd Quarter T.1, T.2, T.3, T.4, T.6, T.8, T.9 Grade: Subject: 4 th Quarter T.4, T.5, T.6, T.7, T.8, T.9, MA.10 Standards Content Trigonometry -change from degree to radian measure and vice versa -coterminal angles -reference angles Trigonometry-Principal Values Identities Proofs Sum and Difference Double and Half Angle Trigonometric Equations Polar Graphs and Points Arithmetic and Geometric Sequences and Series The Binomial Theorem Pascal s Triangle Limits -length of an arc and area of a sector -find all 6 trig values, given one -solve triangles -Unit Cicle -Exact values of trig functions -angles and their measures Dev. 03/2008 5

6 Grade: Subject: -Central Angles and their Arcs -Trigonometric Functions of Special Angles -Right triangles -Law of Sines -Law of Cosines -Area of Triangles -Graphs of Trig functions -Amplitude, Period, and Phase Shift -Inverse Trig Functions Skills 1. change and angle from radians to degrees and vice versa 2. find coterminal angles 3. find reference angles 1. Find Principal Values of Trig functions with and without a calculator 2. simplify trig identies 3. prove identies 4. find exact trig values using the sum and difference formulas as well as the double and half angle formulas 5. solve trig equations 6. graph polar points 7. name a polar point 4 ways 8. graph polar equations and name the classical curve Dev. 03/2008 6

7 4. find the length of an arc and the area of a sector Grade: Subject: 5. given a point of the unit circle, find the value of all six trig functions 6. find the trig values of the special angles with an without a calculator 7. solve Right Triangles using Right Triangle Trig 8. Solve Triangles using the Law of Sines and the Law of Cosines 9. convert from polar forms to rectangular forms and vice versa calculate powers of complex numbers 10. find the product and quotient of complex # s in polar form 11.Find the nth term of an Arithmetic or Geometric Sequence 12.Find the sum of an Arithmetic or Geometric Series 13.Find Arithmetic and Geometric Means 14.Determine if a Series is Convergent or Divergent 15.Find Limits as n approaches infinity and as n approaches a given # 16.Express a function in Sigma Notation 17.Expand and find the sum of a function written in Sigma Notation 18.Expand Binomials using Pascal s Triangle and the Binomial Theorem 9. Find the area of Triangles using various formulas 10. graph all six trig functions and know their domain, range, fundamental period and amplitude if it exists Assessment 11. translate trig graphs 12. Recognize inverse trig functions Quizzes,Tests, Worksheets, Homework, Boardwork, Verbal Questioning Quizzes,Tests, Worksheets, Homework, Boardwork, Verbal Questioning, Exam Dev. 03/2008 7

8 Related Literature 121 Bagley Circle, Suite 300 Grade: Subject: Precalculus Book, Supplemental Worksheets, Teacher made handouts Precalculus Book, Supplemental Worksheets, Teacher made handouts TI-83 graphing calculator, overhead TI-83 graphing calculator, overhead Technology Dev. 03/2008 8