| Course # |
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 |