Grade: 11Th Grade

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Grade: 11Th Grade

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.

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