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Mahomet-Seymour Schools

Curriculum

Mathematics - PreCalculus

 

Trigonometry

 

The learner will be able to use the unit circle and the wrapping function to determine the sine and cosine of special angle measures.

 

  

 

The learner will be able to graph the six trig functions.

 

  

 

The learner will be able to evaluate trigonometric identities.

 

  

 

The learner will be able to expand the Sine, Cosine, and Tangent Sum/Difference, Double Angle and Half-Angle Identities.

 

  

 

The learner will be able to solve triangles using the Law of Sines and the Law of Cosines.

 

  

 

The learner will be able to solve conditional trigonometric equations.

 

  

 

The learner will be able to change a complex number to polar form and vice versa.

 

  

 

The learner will be able to multiply/divide numbers in polar form.

 

  

 

The learner will be able to use DeMoivre's Theorem to find the power and roots of complex numbers.

 

  

 

The learner will be able to convert from rectangular to polar form and vice versa.

 

  

 

The learner will be able to graph equations in polar coordinates.

 

  

 

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Analytic Geometry

 

The learner will be able to graph a circle, an ellipse or a hyperbola with center at the origin.

 

  

 

The learner will be able to graph a parabola with vertex at the origin.

 

  

 

The learner will be able to graph a circle, an ellipse, or a hyperbola with the center translated to (h,k).

 

  

 

The learner will be able to graph a parabola with vertex translated to (h, k).

 

  

 

The learner will be able to write an equation for a conic, and graph it given information such as foci, vertices, and length of major/minor axis.

 

  

 

The learner will be able to graph a conic by a translation and/or a rotation.

 

  

 

The learner will be able to apply midpoint formula, distance formula, and slope formula.

 

  

 

The learner will be able to find the distance in two dimensions between a given point and a given line or in three dimensions between a given point and a given plane.

 

  

 

The learner will be able to find the equations of lines that are parallel to or perpendicular to a given line.

 

  

 

The learner will be able to graph a vector and find the midpoint, magnitude, and slope.

 

  

 

The learner will be able to find the cross product and dot product of two vectors in both two dimensions and three dimensions.

 

  

 

The learner will be able to find the equation of a line in both two dimensions and three dimensions.

 

  

 

The learner will be able to find the measure of the angle between two vectors.

 

  

 

The learner will be able to find the equation of a plane given a point on the plane and a vector normal to the plane or given three points on the plane.

 

  

 

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Finite Mathematics

 

The learner will be able to use synthetic substitution to evaluate polynomial functions.

 

  

 

The learner will be able to apply the Remainder Theorem, Factor Theorem, and Rational Root Theorem to find the factors and roots of higher degree polynomials.

 

  

 

The learner will be able to graph rational functions.

 

  

 

The learner will be able to write a proof using Math Induction.

 

  

 

The learner will be able to expand a binomial by applying the Binomial Theorem.

 

  

 

The learner will be able to use the Binomial Theorem to find the probability for tossing coins.

 

  

 

The learner will be able to find the probability for both independent and dependent events.

 

  

 

The learner will be able to find the probability for both mutually exclusive events and non mutually exclusive events.

 

  

 

The learner will be able to add/subtract/multiply matrices when possible.

 

  

 

The learner will be able to calculate the inverse of a matrix when it exists.

 

  

 

The learner will be able to use the augmented matrix and elementary row manipulations to solve systems of equations.

 

  

 

The learner will be able to solve homogeneous and non-homogeneous systems of equations.

 

  

 

The learner will be able to find the image of a vector of line under translation or a rotation.

 

  

 

The learner will be able to find the composition of two linear transformations.

 

  

 

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