GREENWOOD PUBLIC SCHOOL DISTRICT Algebra III Pacing Guide FIRST NINE WEEKS

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Chrystal Morris
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1 GREENWOOD PUBLIC SCHOOL DISTRICT Algebra III FIRST NINE WEEKS Framework/ 1 Aug Sequences Express sequences and series using recursive and explicit formulas. 2 Aug Sequences Express sequences and series using recursive and explicit formulas. 3 Aug Sequences Evaluate and apply formulas for arithmetic and geometric sequences and series. Aug Sequences Evaluate and apply formulas for arithmetic and geometric sequences and series. 5 Sept. 7 (Sept.3 Labor Day) 3, Sequences Calculate limits based on convergent and divergent series. Evaluate and apply infinite geometric series. 6 Sept Sept , 6, 7 Rational Exponents 5, 6, 7 Rational Exponents Extend the meaning of exponents to include rational numbers. Simplify expressions with fractional exponents to include converting from radicals. Factor algebraic expressions containing fractional exponents. Extend the meaning of exponents to include rational numbers. Simplify expressions with fractional exponents to include converting from radicals. Factor algebraic expressions containing fractional exponents. 8 Sept , 9 Characteristic s of functions Determine characteristics of graphs of parent functions (domain/range,increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptoticbehavior). Determine the end behavior of polynomial functions. 9 Oct st 9 s Exam GREENWOOD PUBLIC SCHOOL DISTRICT

2 ALGEBRA III SECOND NINE WEEKS 1 Oct. 8 9 (Oct. 9 Parent Conf.) (Oct Fall Break.) 2 Oct Oct Framework/ 8 Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptotic behavior). 8 Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptotic behavior). 18 Find the composite of two given functions and find the inverse of a given function. Extend this concept to discuss the identity function f(x) = x. Oct. 29 Nov Nov Simplify complex algebraic fractions (with/without variable expressions and integer exponents) to include expressing (f (x+ h)- f (x))/h as a single simplified fraction 16 RATIONAL Add, subtract, multiply and divide rational expressions. 6 Nov RATIONAL Solve polynomial and rational inequalities. Relate results to the behavior of the graphs. 7 Nov RATIONAL Decompose a rational function into partial fractions. 8 Dec Dec Dec (Dec. 20, 60% Day) 3 15 RATIONAL 30 TRIG RATIOS Determine asymptotes and holes of rational functions, explain how each was found, and relate these behaviors to continuity. Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π / and π /6, and use the unit circle to express the values of sine, cosine, and tangent. 2 nd 9 s Exam GREENWOOD PUBLIC SCHOOL DISTRICT

3 NAME OF SUBJECT/COURSE THIRD NINE WEEKS 1 Jan Trig ratios 2 Jan (Jan. 1, MLK) 3 Jan Jan. 28 Feb Feb Feb Trig applications Radians Graphs Graphs Framework/ Six trig ratios and solving a right triangle. tangent for π/3, π/ and π/6, and use the unit circle to express the values of Six trig ratios and their applications. tangent for π/3, π/ and π/6, and use the unit circle to express the values of Radian and Degree measure tangent for π/3, π/ and π/6, and use the unit circle to express the values of Graphs of Trig functions Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. Graphs of Trig functions Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. 7 Feb (Feb. 19, Pres. Day) 8 Feb. 25 Mar Mar rd 9 s Exam

4 GREENWOOD PUBLIC SCHOOL DISTRICT NAME OF SUBJECT/COURSE FOURTH NINE WEEKS 1 Mar Framework/ Understand and Apply Fundamental to simplify trig expressions, and prove trig identities. 2 Mar Understand and Apply Fundamental to simplify trig expressions, and prove trig identities. 3 Apr. 1 5 Understand and Apply Sum, Difference, Double and Half angle identities to in varied contexts including complimentary functions. m Apr Understand and Apply Sum, Difference, Double and Half angle identities to in varied contexts including complimentary functions. 5 Apr Apr Solve a triangle using Law of Sines, Law of Cosines and evaluate the area of a triangle using 1. Base and height 2. Heron s formula or 3. Two sides and an included angle. Solve a triangle using Law of Sines, Law of Cosines and evaluate the area of a triangle using 1. Base and height 2. Heron s formula or 3. Two sides and an included angle. 7 Apr. 29 May May Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute value, rational, exponential, logarithmic, square root, cube root, and greatest integer). Relate symmetry of the behavior of even and odd functions. 9 May May Review /Nine-weeks exam th 9 s Exam

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.

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. 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