trigonometric functions to solve trig Half-angle formulas • equations. Product-sum formulas • Sum-product formulas • Unit 6: Sequences and Series (4.5 weeks) Infinite sequence I can… • Use sequence, factorial, and summation notation to Finite sequence • • write the terms and sums of sequences. Recursive • Recognize, write, and use arithmetic sequences and • Factorial • geometric sequences. Summation/sigma • Use the binomial theorem and to Pascal’s triangle • notation calculate binomial coefficients and write Infinite series • binomial expansions. Finite series/nth partial • Solve counting problems using the Fundamental • sum Counting Principle, permutations, and Binomial Theorem • combinations. Find the probability of events and their complements • I can… Unit 7: Topics in Analytic Geometry—Conics Conic Unit Circle Activity • (2.5 weeks) Ellipse • Write the standard equations of parabolas, ellipses, and Eccentricity • hyperbolas. Hyperbola • Analyze and sketch the graphs of parabolas, ellipses, • Transverse axis • and hyperbolas. Asymptotes • Solve systems of quadratic equations. • Parameter • *Rewrite sets of parametric equations as rectangular • Parametric equations • equations and find sets of parametric Polar coordinate system • equations for graphs.
trigonometric functions to solve trig equations. • Half-angle formulas • Product-sum formulas • Sum-product formulas Unit 6: Sequences and Series (4.5 weeks) I can… • Use sequence, factorial, and summation notation to write the terms and sums of sequences. • Recognize, write, and use arithmetic sequences and geometric sequences. • Use the binomial theorem and Pascal’s triangle to calculate binomial coefficients and write binomial expansions. • Solve counting problems using the Fundamental Counting Principle, permutations, and combinations. • Find the probability of events and their complements I can… • Infinite sequence • Finite sequence • Recursive • Factorial • Summation/sigma notation • Infinite series • Finite series/nth partial sum • Binomial Theorem Unit 7: Topics in Analytic Geometry—Conics (2.5 weeks) Write the standard equations of parabolas, ellipses, and hyperbolas. • Analyze and sketch the graphs of parabolas, ellipses, and hyperbolas. • Solve systems of quadratic equations. • *Rewrite sets of parametric equations as rectangular equations and find sets of parametric equations for graphs. • Conic • Ellipse • Eccentricity • Hyperbola • Transverse axis • Asymptotes • Parameter • Parametric equations • Polar coordinate system Unit Circle Activity
Pre-Calculus%20Curriculum%20Map%202014-2015.docx