S.C.A. Algebra III Course Objectives

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Course
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S.C.A. Algebra III Course Objectives (21 count) Standard
ID #
Course
Obj #
421 The student will locate, sketch and classify angles according to their location on the coordinate plane. MA03 421-01
421 The student will simplify, evaluate and verify trigonometric identities. MA05 421-01
421 The student will determine the dimensions of a matrix and perform the operations of addition, subtraction, and multiplication (including scalar multiplication) on matrices. MA08 421-01
421 The student will calculate the area of a triangle using each of the following: A=1/2?; A= 1/2 absin C; Heron's formula MA09 421-01
421 The student will use right triangle trigonometry to determine missing side lengths, and formulate and solve word problems involving right traingles, including angles of elevation and depression. MA10 421-01
421 The student will calculate the reference and coterminal angles for a given angle. MA03 421-02
421 The student will evaluate sine and cosine using sum/difference and double/half angle formulas. MA05 421-02
421 The student will determine the identity and inverse matrices for a given matrix for addition and multiplication. MA08 421-02
421 The student will solve triangles, and formulate and solve word problems that use the Law of Cosines. MA10 421-02
421 The student will evaluate the six trigonometric functions for the special acute angles of 30, 45, and 60 degrees and the four quadrantal angles, as well as for any angle that uses one of these seven as a reference angle. MA03 421-03
421 The student will solve trigonometric equations. MA05 421-03
421 The student will calculate the determinant of a matrix and then use Cramer's rule to solve a system of equations. MA08 421-03
421 The student will solve triangles, and formulate and solve word problems that use the Law of Sines. MA10 421-03
421 The student will convert between minute/second and decimal notation, and also from degrees to radians and vice-versa. MA03 421-04
421 The student will determine the domain, range and inverse of a function given as a set of coordinates. MA08 421-04
421 The student will sketch basic graphs of the trigonometric functions. MA10 421-04
421 The student will analyze the graph of a relation to determine if it is a function, and give the domain and range from the graph. MA08 421-05
421 The student will determine whether a direct or inverse variation relationship exists for a given set of values and solve word problems using direct, inverse, joint, and combined variation. MA08 421-06
421 The student will evaluate functions for a given value, including fuction composition. MA08 421-07
421 The student will identify, graph, and write the equations of the four conic sections: circle, ellipse, parabola, hyperbola. MA08 421-08
421 The student will solve linear/quadratic and quadratic/quadratic systems of equations and inequalities. MA08 421-09

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