High School Mathematics
Melrose Area Schools
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Geometry Online Textbook
This course is a college credit course. A student will pick up 5 college quarter
credits from MSCTC-FF. Sets, factoring, fractions, linear equation in one, two, or
three unknowns, exponents, radicals, quadratic equations, inequalities,
determinants, progressions, complex numbers, theory of equations and variations
are covered in this course.
Prerequisite: Student must pass the MSCTC-FF assessment, have a Junior
GPA of 3.2 or a Senior GPA of 2.8 and maintain a “C” average in the course.
Trigonometry is a semester course designed to introduce the theory necessary to
handle real-world applications in a realistic way. This approach allows each topic to
be related to the study of a particular class of function. The students must
1. Define the function
2. Draw representative graphs
3. Figure out properties of the class of function
4. Use the function as a mathematical model
The resulting ability to use functions as models allows the students to draw
the graphs themselves, write equations for the graphs, and use the equations to
make predictions and interpretations about the real-world situation they are
modeling. Since answers to real-world problems seldom come out "nicely", a
calculator is called for where appropriate.
This course will cover the following concepts: trigonometric functions and
their graphs, circular functions and their graphs, trigonometric identities and
equations, oblique triangles, vectors, and polar coordinates if time permits.
Prerequisite: College Algebra. Students must pass the MSCTC-FF
assessment, have a Junior GPA of 3.2 or Senior GPA of 2.8 and maintain a “C”
average in the course
Basic foundations of geometric concepts will pave the way to geometric
reasoning and mathematical proof. Knowledge of coordinate geometry,
polygons, similarity, and right triangle trigonometry will be taught and
expanded to include real would problems.
Prerequisite: Algebra Ib or Algebra 8+
Melrose Area Schools