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Thomas MacLaren School Math Curriculum in Detail

6th Grade – Math:  Students work towards proficiency in the four operations – addition,
subtraction, multiplication and division – with the following: whole numbers, decimals,
fractions, ratios, proportions, and percentages. Students plan logically how to solve word
problems. Students use the text Math by McDougal Littell.

7th Grade – Prealgebra: The study of whole numbers, decimals, fractions and their
arithmetic operations along with the study of ratios, proportions and percents. Basic
geometric concepts such as properties of points, lines and planes are introduced. Students
use the text Prealgebra by McDougal Littell.

8th Grade – Algebra: A comprehensive study that includes topics such as linear and
quadratic equations, systems of linear equations, polynomials, fractional equations and
the study of the coordinate plane and graphing. Students use the text Algebra by
McDougal Littell.

9th Grade – Geometry/Precalculus: The first semester is the study of geometry with
emphasis on geometric relationships through constructions. The second semester begins
the study of precalculus that continues through the tenth grade. This first semester
focuses on the language of functions. Students use graphing calculators (TI-83’s) to
assist them in their study. Students use the text Discovering Geometry by Key
Curriculum Press and Precalculus: Graphical, Numerical, Algebraic by

10th Grade – Precalculus: A continuation of the study of functions. Topics include
trigonometry, matrices, systems of linear equations, vectors, conic sections, exponents
and logarithms. The students continue to use their graphing calculators (TI-83’s).
Students continue to use the text Precalculus: Graphical, Numerical, Algebraic by
Prentice Hall.

11th Grade – Calculus: The first semester focuses on functions used in calculus,
derivatives, slope of a tangent, and the limit of slopes of secants. The second semester
includes the study of integrals, sequences and series, and differential equations. There is a
heavy emphasis on graphs and the use of graphing calculators (TI-83’s). Students use the
text Calculus from Graphical, Numerical and Symbolic Points of View by Houghton
Mifflin.

12th Grade – Calculus/Advanced Topics: This third semester of calculus focuses on the
study of multi-dimensional calculus. Topics include directional derivatives, line and
surface integrals, Green’s Theorem and Stokes’ Theorem. The second semester covers
non-calculus math topics such as group theory, set theory, number theory, fractals and
non-Euclidian geometry. Students use the text Multivariable Calculus by Houghton
Mifflin.

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