Grade: 11Th Grade
Total Page:16
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Grade: 11th Grade Course: Math Analysis Discipline: Math
Additional Course Information:
Course Description
1 credit. Elective. Weighted.
Objectives:
Unit
A1
Local Objective
MA-A1 Analyze information about functions. Unit
A2
Local Objective
MA-A2 Evaluate composite functions Unit
A3 Local Objective
MA-A3 Determine whether a graph or polynomial has symmetry with respect to the x-axis, y-axis, y = x, and the origin. Unit
A4
Local Objective
MA-A4 Apply transformations on functions, describe types of transformation occurring between function and its parent graph, write equations of functions using transformations. Unit
A5
Local Objective
MA-A5 Identify the inverse of a function and graph. Unit
A4
Local Objective
MA-A4 Graph the piece function and analyze information about it. Technology Standard III.1. Use content-specific technological tools and resources to manage data and produce a product or system. Unit
B1 Local Objective
MA-B1 Convert from degrees to radians or radians to degrees. Unit
B2
Local Objective
MA-B2 Demonstrate knowledge and use information about the ratios of the sin x, cos x, and tan x trigonometric functions. Unit
B3
Local Objective
MA-B3 Demonstrate knowledge and use formulas pertaining to a circle. Unit
B4
Local Objective
MA-B4 Determine the reference angle in degrees or radians. Unit
B5
Local Objective MA-B5 Evaluate trigonometric functions within a set of parameters. Unit
B6
Local Objective
MA-B6 Evaluate trigonometric measures in degrees and radians. Unit
C1
Local Objective
MA-C1 Demonstrate knowledge and use information about the sine, cosine and tangent trigonometric functions. Technology Standard III.1. Use content-specific technological tools and resources to manage data and produce a product or system. Unit
C2
Local Objective
MA-C2 Determine the amplitude, period, and phase shift of a trigonometric graph. Technology Standard III.1. Use content-specific technological tools and resources to manage data and produce a product or system. Unit
D1
Local Objective
MA-D1 Use mathematical vocabulary. Use the trigonometric formulas to find unknown sides and angles of geometric shapes. Unit
D2
Local Objective
MA-D2 Use the Law of Sines or Law of Cosines to find unknown parts of a triangle. Unit
D3
Local Objective
MA-D3 Use trigonometric formulas to find unknown sides, angles, or areas of geometric shapes. Unit
E1
Local Objective
MA-E1 Simplify trigonometric expressions. Unit
E2
Local Objective
MA-E2 Verify trigonometric identities using information relating to trigonometric functions and other trig identities. Unit
E3 Local Objective
MA-E3 Solve trigonometric equations. Unit
E4
Local Objective
MA-E4 Solve higher order trigonometric equations. Unit
F1
Local Objective
MA-F1 Demonstrate and use knowledge about mathematical formulas, definitions, and expressions. Unit
F2
Local Objective
MA-F2 Determine distance and midpoint given pairs of points. Unit
F3
Local Objective MA-F3 Find slopes, the equations of lines, and the intersection of two lines. Technology Standard III.1. Use content-specific technological tools and resources to manage data and produce a product or system. Unit
F4
Local Objective
MA-F4 Graph and determine the equation of a parabola. Unit
F5
Local Objective
MA-F5 Determine a quadratic equation from a set of data. Unit
G1
Local Objective
MA-G1 Factor higher order equations. Unit
G2
Local Objective
MA-G2 Use synthetic division to find the quotient and remainder of a polynomial. Unit G3
Local Objective
MA-G3 Apply general theorems about polynomial equations. Unit
G4
Local Objective
MA-G4 Graph a polynomial function and determine an equation for a graph of a polynomial. Technology Standard III.1. Use content- specific technological tools and resources to manage data and produce a product or system. Unit
H1
Local Objective
MA-H1 Solve and graph linear inequalities in one variable and inequalities involving absolute value. Unit
H2
Local Objective
MA-H2 Solve and graph polynomial inequalities in one variable. Unit H3
Local Objective
MA-H3 Solve and graph higher order inequalities. Unit
I1
Local Objective
MA-I1 Simplify exponential and radical expressions. Unit
I2
Local Objective
MA-I2 Use exponential rules to determine real life solutions. Unit
I3
Local Objective
MA-I3 Use logarithmic laws and rules to simplify expressions. Unit
J1 Local Objective
MA-J1 Identify a circle, then find the general equation, radius, center, and graph the circle. Unit
J2
Local Objective
MA-J2 Identify an ellipse, find the general equation, a, b, c, e, center, foci, vertices of the M - axis, vertices of the m - axis, and graph the ellipse. Unit
J3
Local Objective
MA-J3 Identify a parabola, then find the general equation, vertex, AOS, directrix, focus, x-intercept, y-intercept, p, and graph the parabola. Unit
J4
Local Objective
MA-J4 Identify a hyperbola, then find the general equation, center, a, b, c, the vertices, foci, transverse axis, and graph the hyperbola. Unit
M1 Local Objective
MA-M1 Use trigonometry to solve navigation and surveying problems.