**Math Classes at Northwest High School**

Montgomery County Course Guide

**Click here for Curriculum overviews & resources**

## Related Mathematics A/B

Related Mathematics is taken in conjunction with Algebra 1. It reinforces the essential pre-algebra and algebra concepts and procedures necessary to function in authentic problem-solving situations. Students focus on concepts and applications related to success in Algebra 1 and use technology in the problem-solving process.

Algebra 1 A/B

9 - 10 - 11 - 12

## Algebra 1 A/B

Algebra 1 is designed to analyze and model real-world phenomena. Exploration of linear, exponential, and quadratic functions forms the foundation of the course. Key characteristics and representations of functions--graphic, numeric, symbolic, and verbal--are analyzed and compared. Students develop fluency in solving equations and inequaliies. One- and two-variable data sets are interpreted using mathematical models.

9 - 10 - 11 - 12

## Geometry Honors A/B

Geometry formalizes and extends students' geometric experiences from the elementary and middle school grades. Students explore more complex geometric situations and deepen their understanding of geometric relationships, progressing toward formal mathematical arguments. Instruction at this level will focus on the understanding and application of congruence as a basis for developing formal proofs; the relationships among similarity, trigonometry and triangles; the relationships between two- and three-dimensional objects and their measurements; exploration of geometric descriptions and equations for conic sections; and application of geometric concepts in modeling situations.

Algebra 1 A/B

9 - 10 - 11 - 12

## Bridge to Algebra 2 A/B

Bridge to Algebra 2 is designed for students who have completed Algebra 1 and Geometry, and need additional support before taking Algebra 2. To reinforce their algebra and geometry skills, students will apply concepts from Algebra 1 and Geometry to solve meaningful real-world problems.

Algebra 1 and Geometry

10 - 11 - 12

## Algebra 2, Honors A/B

In Algebra 2, students build on their Algebra 1 knowledge of linear, quadratic, and exponential functions and extend their repertoire to inlcude polynomial, rational, radical, exponential, and logarithmic functions. Students continue to use mathematical models to solve real-world problems. They use the coordinate plane to apply trigonometry in modeling periodic phenomena. Students synthesize and generalize what they have learned about a variety of function families and explore the effect of transformations on the graphs of diverse functions. Students will also study topics in probability and statistics

Algebra 1 A/B and Geometry A/B

9 - 10 - 11 - 12

## Precalculus, Honors A/B

Precalculus completes the formal study of the elementary functions begun in Algebra 1 and Algebra 2. Students focus on the use of technology, modeling, and problem solving. Functions studied include polynomial, exponential, logarithmic, rational, radical, piece-wise, and trigonometric and circular functions and their inverses. Parametric equations, vectors, and infinite sequences and series are also studied.

Algebra 2

9 - 10 - 11 - 12

## Calculus with Applications A/B

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.

Precalculus

9 - 10 - 11 - 12

## Calculus AB, Advanced Placement, A/B

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.

Precalculus

9 - 10 - 11 - 12

## Calculus BC, Advanced Placement, A/B

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 may receive two semesters of Advanced Placement in mathematics.

Precalculus, Honors

9 - 10 - 11 - 12

## Multivariable Calculus and Differential Equations A/B

The first semester covers three-dimensional analytic geometry and vectors; the calculus of functions of more than one variable, including partial derivatives, vector-valued functions, multiple integrals, volumes, surface area, and the classical theorems of Green, Stokes, and Gauss. The second semester introduces the basic concepts of ordinary differential equations.

AP Calculus BC or Magnet Analysis 1B

11 - 12

## Statistics and Mathematical Modeling A/B

Statistics and Mathematical Modeling (SAMM) semester A topics include data analysis, probability, simulations, inferential statistics, normal and binomial distributions, techniques of sampling, confidence intervals, and hypotheses testing. Semester B topics are chosen from cryptography and coding, game and graph theory, architecture, trigonometry, fairness and apportionment, careers, investment and finance, and college placement test review.

Algebra 2

11 - 12

## Quantitative Literacy A/B

Quantitative Literacy is designed to enhance students’ abilities in mathematical decision making and financial literacy. Emphasis is on the mathematical aspects of savings and investments, loans and credit, budgeting, chance, decision making, and starting a business.

Algebra 2 or Bridge to Algebra 2

11 - 12