Math Teachers:
Mrs. Griffin is a middle school math teacher and math coach leader.
Mr. Felipe Roschke is a Montgomery county magnet math experienced teacher.
Mr. O’Donnell has a Bachelor of Science in Molecular Biology from the University of Texas at Austin, as well as having taken courses at Harvard University and the University of Maryland in writing and economics. He has several years tutoring experience with children of all ages.
Math Curriculum Overview and Resources by Course
Pre-Algebra
Students in Investigations into Mathematics (IM) continue to use mathematics to model real world situations. •In Unit 1, students increase their understanding of statistical analysis and use set theory to continue to build their ability to reason mathematically. •In Unit 2, students investigate operations and properties of the real number system. •In Unit 3, students explore transformations and constructions of geometric figures, as well as the concepts of similarity and congruence. Measurement of two-dimensional figures and three-dimensional shapes is investigated. •In Unit 4, students investigate the relationships and connections between patterns and sequences, relations, functions, and solving problems. •In Unit 5, students move toward formal symbolic notation of generalized relationships. Students learn to move flexibly among multiple representations of a relationship and explore linear equations and inequalities. •In Unit 6, students build reasoning skills through the use of modular arithmetic and group properties. •In Unit 7, students learn about probability and odds as well as how probability is used to develop and conduct simulations.
Algebra 1
Students in Algebra 1 continue their study of patterns and relationships, formalizing their knowledge, learning to use symbolic notation and connecting their understandings to the real world.
- In Unit 1, students model real world situations using equations and inequalities. Students solve equations and inequalities, including those involving absolute value.
- In Unit 2, students study relationships, functions, and function properties.
- In Unit 3, students examine linear functions and linear inequalities.
- In Unit 4, systems of equations and systems of inequalities are studied, as well as the student’s ability to represent real world situations using systems.
- In Unit 5, students use data analysis to solve problems and investigate the role of probability in many contexts: experimental probability compared to theoretical probability, sampling, bias, and simulation.
- In Unit 6, students are introduced to and investigate polynomials. Students are introduced to the role that factoring can play in determining the roots of an equation.
- In Unit 7, students explore quadratic and exponential functions.
Honors Geometry
Students in Geometry learn to build their understanding of geometric properties and reasoning through investigations of figures and shapes.
- In Unit 1, students construct and analyze geometric relationships and investigate geometric transformations [translations, rotations, and reflections].
- In Unit 2, formal logic is studied (inductive, deductive, and indirect) and students consider the validity of statements.
- In Unit 3, students study polygons and investigate the properties of regular figures. Angle and segment relationships of various polygons are examined.
- In Unit 4, polygon congruence is investigated and students study triangle congruence and its associative properties.
- In Unit 5, students investigate various properties of right triangles, as well as coordinate proofs and geometric probability.
- In Unit 6, students investigate relationships in three-dimensional figures and extend their middle school knowledge of surface area and volume.
- In Unit 7, similarity in polygons is investigated, starting with triangles and extending to other polygons. Similarity is also examined in terms of area of figures and volume of shapes.
- In Unit 8, students investigate relationships between circles and lines.
- In Unit 9, trigonometric ratios (sine, cosine, and tangent) are introduced and applied.
Honors Algera 2
Students in Algebra 2 build on their knowledge of Algebra 1 and Geometry.
- In Unit 1, students review their understanding of functions and examine many different types of functions, including the properties of those functions.
- In Unit 2, linear systems are examined and students learn how matrices can be used to solve these systems.
- In Unit 3, students review and extend quadratic functions as well as explore the broader category of polynomial functions. Students are also introduced to complex numbers.
- In Unit 4, students extend their understanding of sequences and series, including summation notation.
- In Unit 5, two new types of functions are explored by students, power functions and radical functions.
- In Unit 6, students examine exponential and logarithmic functions in depth.
- In Unit 7, rational functions are explored and analyzed by students.
- In Unit 8, students study quadratic relations in the form of conics – parabolas, circles, ellipses, and hyperbolas.
Pre-Calculus
Students in Pre-Calculus extend their learning from Geometry and Algebra 2 to prepare themselves for topics in Calculus.
- In Unit 1, students study functions and their properties. Topics of study include parent functions, combinations of functions, inverses of functions, and transformations.
- In Unit 2, trigonometric functions are applied to real world situations. Connections are made to the unit circle and students analyze trigonometric and circular functions.
- In Unit 3, students simplify expressions and prove identities using trigonometric functions. Students also use the law of sines and the law of cosines to solve problems.
- In Unit 4, students extend their understanding of rational functions from Algebra 2.
- In Unit 5, students extend their understanding of exponential and logarithmic functions from Algebra 2.
- In Unit 6, students apply vectors and parametric functions to real world situations.
- In Unit 7, students explore different aspects of discrete mathematics, including counting principles, the binomial expansion theorem, and sequences and series.
Calculus with Applications
Calculus with Applications topics include limits, continuity, and derivatives of functions, the definite integral, and their real-world applications. Students find and apply derivatives numerically, graphically, and symbolically. Previously studied functions will be analyzed using calculus concepts. The relationship between the derivative and the definite integral is developed. Students will model real-world situations involving rates of change using difference or differential equations.
Calculus AB, Advanced Placement
Calculus AB topics are those traditionally offered in the first year of calculus in college, and are designed for students who wish to obtain a semester of advanced placement in college. The topics studied include limits, continuity, derivatives and integrals of algebraic and transcendental functions and their applications, and elementary differential equations.
Calculus BC, Advanced Placement
Calculus BC includes all of the topics in Calculus AB, as well as convergence tests for series, Taylor or Maclaurin series, vector, polar, and parametric functions. Students in BC Calculus generally receive two semesters of Advanced Placement in mathematics.
SAT for Math
Exam Reviews
Algebra 1
Geometry:
Honors Geometry:
Algebra 2
Honors Algebra 1
Pre-Calculus
Honors Pre-Calculus