## Mathematics

##### (301) 649-2870

##### Resource Teacher: Celita
Davis

Celita_M_Davis@mcpsmd.org

#### Follow the Math Department on Twitter and Instagram!

#### Jump to: Course Info | Summer Packets

**Math Help**: Individual teachers are available as per this schedule; math help for all classes is available in room 233 during lunch

**Graphing Calculators**: Click to find out how to rent a TI-83 graphing calculator for your math class; you can also click to learn about other options you can use to get the functonality of a graphing calculator, if you choose not to rent one

### The Staff:

- Ty Allen – Precalculus / Quantitative Literacy – Tyrone_Allen@mcpsmd.org
- Kristin Cole – Algebra 2 / Two-Year Algebra 2 (AB) – Kristin_A_Cole@mcpsmd.org
- Grace Contreras – Calculus BC / MAPS – Grace_R_Contreras@mcpsmd.org
- Celita Davis – Algebra 1 / College Test Prep – Celita_M_Davis@mcpsmd.org
- Peter Engelmann – Two-year Algebra 2 / Calculus with Applications / Honors Geometry – Peter_D_Engelmann@mcpsmd.org
- Julia Estrada-Luyo – Algebra 1 / Honors Algebra 2 – Julia_M_Esreada-Luyo@mcpsmd.org
- Crystal Johnson – Algebra 1 / Two-Year Algebra 2 (CD) / Related Math – Crystal_L_Johnson@mcpsmd.org
- Edward Kirk – Honors Geometry / Magnet Precalculus – Edward_J_Kirk@mcpsmd.org
- Fulbert Lewedia – AP Calculus / Calculus with Applications – Fulbert_Lewedia@mcpsmd.org
- Earl Lindsey – Algebra 1 (ESOL) / Geometry – Earl_W_Lindsey@mcpsmd.org
- Robin Lively – Algebra 1 / Geometry – Robin_T_Lively@mcpsmd.org
- Megan Lusby – Geometry / AP Statistics – Megan_E_Lusby1@mcpsmd.org
- Colleen McGurkin – Two-Year Algebra 2 (AB) / Geometry – Colleen_A_McGurkin@mcpsmd.org
- Hannah McIlvried – Algebra 1(ESOL) / Honors Algebra 2 / Geometry – Hannah_C_McIlvried2@mcpsmd.org
- Diane Norris – Honors Geometry / Magnet Geometry – Diane_H_Norris@mcpsmd.org
- Alexander Perez – Algebra 1 / Geometry – Alexander_Perez@mcpsmd.org
- Tung Pham – Honors Algebra 2 / Precalculus – Tung_T_Pham@mcpsmd.org
- Ayeshah Pope – Algebra 1 / Algebra 2 / Honors Algebra 2 – Ayeshah_Pope@mcpsmd.org
- Kathy Robens – A.P. Statistics / Statistics and Mathematical Modeling – Kathleen_C_Robens@mcpsmd.org
- Stacey Sanders – Precalculus / Related Math – Stacey_A_Sanders@mcpsmd.org
- Elliott Shiotani – Geometry / Honors Precalculus – Elliott_Shiotani@mcpsmd.org
- Nathaniel Sturm – Geometry / Honors Precalculus - Nathaniel_Sturm@mcpsmd.org
- Kelley Swain-Wilkes – Algebra 1 / Algebra 2 / Honors Algebra 2 – Kelley_A_Swain@mcpsmd.org
- Lisa Wheatley – Algebra 1 / Precalculus – Lisa_D_Wheatley@mcpsmd.org

Many of the courses require the use of a TI-83+ Graphing Calculator

The Courses:

All students must take 4 credits of mathematics, including 1
credit in algebra and 1 credit in geometry. Students who complete
a calculus course *may* be exempted from the 4-credit requirement
in mathematics. Students *must* consult with school counselors
in advance to obtain full information about this credit waiver
and its advisability. An overview of the MCPS Math curriculum and resources is available here.

**Algebra 1** (9th-11th
grade; 1 credit) — This course studies the basic structure
of real numbers, algebraic expressions, and functions. The topics
studied are statistical organization and analysis, linear equations,
inequalities, functions and systems, quadratic equations and
functions, polynomial and radical expressions, and the elementary
properties of functions. Mathematical modeling of real-life problems,
problem solving, and the construction of appropriate linear models
to fit data sets are the major themes of the course. The course
requires a TI-83+ Graphing Calculator.

**Double Period Algebra
1 or ESOL Algebra 1 **(9th-10th
grade; 1 credit) — This is a double-period course which
adds the curriculum of Related Math to the Algebra 1 curriculum.
Related math adds essential mathematical concepts and skills
necessary to function in authentic problem-solving situations.
Support of the attainment of algebraic objectives (see Algebra
I above) is provided. Use of technology in the problem-solving
process is an integral component of the course. The course
requires a TI-83+ Graphing Calculator.

**Geometry** (9th-12th
grade; 1 credit; may also be taken at the honors level) — Geometry
is studied through the deductive development of relationships
in the plane and space developed intuitively in previous years.
Indicators include the geometry in art and nature, geometry
as a mathematical system, congruent segments and angles, circle
chords, secants and tangent segments, parallel and perpendicular
lines, angle measure in triangles, direct and indirect triangle
congruence proofs, solids in revolution, logic, similar triangles,
the Pythagorean Theorem, geometric constructions, and surface
area and volume of solids. The course requires purchase of
a compass and a protractor. Students are encouraged to
get a TI-83+ Graphing Calculator for the second semester.

**Double Period Geometry ** (9th-12th
grade; 1 credit; may also be taken at the honors level) — This
is a double-period course which adds the curriculum of Related
Math to the Geometry curriculum. Related math adds essential
mathematical concepts and skills necessary to function in authentic
problem-solving situations. Geometry is studied through the
deductive development of relationships in the plane and space
developed intuitively in previous years. Indicators include
the geometry in art and nature, geometry as a mathematical
system, congruent segments and angles, circle chords, secants
and tangent segments, parallel and perpendicular lines, angle
measure in triangles, direct and indirect triangle congruence
proofs, solids in revolution, logic, similar triangles, the
Pythagorean Theorem, geometric constructions, and surface area
and volume of solids. The course requires purchase of a compass
and a protractor. Students are encouraged to get a TI-83+
Graphing Calculator for the second semester.

**Algebra 2 **(10th-12th
grade; 1 credit; Prerequisite: Algebra) — Algebra 2 is
the study of the complex number system, symbolic manipulation,
and functions. Advanced algebraic and data analysis techniques
incorporating the use of technology enable students to discuss,
represent, and solve increasingly sophisticated real-world problems.
Topics studied include the properties of functions, the algebra
of functions, matrices, and systems of equations. Linear, quadratic,
exponential, logarithmic, polynomial and rational functions are
studied with an emphasis on making connections to other disciplines
and as preparation for a multitude of careers. A principal goal
is to apply advanced data analysis techniques to find the best
fit model from all the important function models, justify the
model,and us it to make predictions. Communication of the problem
solving skills used and the conclusion reached is another major
emphasis. The course requires a TI-83+ Graphing Calculator.

**Honors
Algebra 2 **(9th-10th grade; 1 credit; Prerequisite:
Geometry) — This is an intensive, accelerated course
intended for the student with the motivation to prepare for
advanced mathematics courses. Algebra 2 with Analysis focuses
on the use of technology and data analysis to develop students'
thinking, problem-solving and communication skills. Topics
include the properties, applications, algebra, and parametric
representation of functions, matrix algorithms, linear, quadratic,
radical, exponential, logarithmic, polynomial, and rational
functions. Data analysis techniques include the use of re-expression
and residuals to find and verify best-fit rules. The final
unit includes applications as well as the properties relevant
to advanced mathematics. The course requires a TI-83+ Graphing
Calculator.

**Two-year Algebra 2** — Algebra II formalizes and extends students’ algebra experiences from Algebra 1. Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, radical, and trigonometric functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Students extend their knowledge of statistics and explore probability in a two year sequence. Students will learn the first semester of Algebra II in the first year of the course, then learn the second semester of Algebra II in the second year of the course. Students will receive a full credit for each year of Two Year Algebra 2.

**Pre-calculus **(11th-12th
grade; 1 credit; Prerequisite: Algebra 2) — This course
completes the formal study of the elementary functions begun
in Algebra 1 and 2. Students use the mathematical and modeling
skills previously developed to study and apply the trigonometric
functions. The use of technology and problem solving are emphasized
in units covering data analysis, circular functions, and trigonometric
inverses and identities. Students will conduct research and
write extensively as they prepare for higher levels of mathematics.
The concepts of trigonometry are extended to the study of polar
coordinates and complex numbers. conics and quadratic relations
are introduced through a locus definition using polar representations.
Discrete topics include the principals of mathematical induction,
the Binomial Theorem, and sequences and series, where sequences
are represented both explicitly and recursively. An oral and
written modeling presentation by students provides culminating
synthesis to the concept of function. The course requires a
TI-83+ Graphing Calculator.

**Honors
Pre-calculus **(10th-11th grade; 1 credit; Prerequisite:
Algebra 2 with Analysis) — The formal study of elementary
functions is extended with the introduction of the trigonometric
functions. Students apply technology, modeling, and problem
solving skills to the study of these functions in units on
circular functions, trigonometric identities and inverses,
and applications of trigonometric functions. Vectors in two
and three applications of trigonometric functions. Vectors
in two and three dimensions are studied and applied. Problem
simulations are explored in multiple representations: algebraic,
graphical, and numeric. The trigonometric functions are applied
to the study of polar coordinates and complex numbers. Conic
sections and quadratic relations are introduced in polar representations.
The concept of limit is applied to rational functions and to
discrete functions such as indefinite sequences and series.
The formal definition of limit is applied to proofs of the
continuity of functions and provides a bridge to calculus.
A culminating project provides synthesis of the concepts studied.
The course requires a TI-83+ Graphing Calculator.

**Calculus with
Applications **(12th grade; 1 credit; Prerequisite:
Precalculus) — The introductory topics of this course
include limits and continuity of functions, derivatives of
functions, and their applications to problems. Students find
derivatives numerically, represent derivatives graphically,
and interpret the meaning of a derivative in real-world applications.
Models of previously studied functions will be analyzed using
calculus concepts. The topics developed include the relationship
between the derivative and the definite integral. The understanding,
properties, and applications of the definite integral are included
as students learn to explain solutions to problems. Students
will model real-world situations involving rates of change
using difference or differential equations. The course requires
a TI-83+ Graphing Calculator.

**AP Calculus (AB and BC Calculus) **(12th
grade; 1 credit; Prerequisite: Precalculus with Analysis) — The
topics studied in A.P. Calculus are those traditional offered
in the first year of calculus in college, and design specifically
for students who wish to obtain advanced placement in mathematics
in college. Concepts are communicated graphically, numerically,
analytically and verbally. The basic topics studied include
limits and continuity of functions, derivatives and integrals
of algebraic and transcendental functions and their applications
in problems. The advanced topics developed are applied include
integration techniques, convergence tests for series, Taylor
or Maclaurin series, elementary deferential equations, and
hyperbolic functions. The course requires a TI-83+ Graphing
Calculator.

**ESOL Related Mathematics **(9th-11th
grade; 1 credit) — Designed for ESOL Level 2 and 3 students.
This course reinforces essential pre-algebra concepts necessary
for Algebra I. Topics of study include skill and concept development
of algebraic formulas, percent, and ratio and proportion in
algebraic problem-solving situations.

**Quantitative Literacy** — This
course is designed to enhance students' abilities in mathematical
decision-making and financial literacy. Topics in mathematical decision-making
include issues in health and social sciences, fair division, apportionment,
and the mathematics of chance. Financial literacy topics include individual
budgeting, investing, credit, and loans. Also including are business
topics including starting and maintaining a business. Emphasis is on
the mathematical aspects of the topics.

**Statistics
and Mathematical Modeling **(11th-12th grade; 1 credit;
Prerequisite: Algebra 2) — This course requires a knowledge
and use of the TI-83+/ TI-84 Graphing Calculator. Statistics
students engage in the exploratory analysis of data, using
graphical and numerical techniques. Data sets are collected
using statistical design methods, such as stem and leaf plots,
histograms, box plots, standard deviations, normal distributions
and binormal distributions, confidence intervals, and hypothesis
tests. Students produce appropriate models using probability,
simulation, and statistical inference. Models are used to draw
conclusions from data and analyzed by inferential methods to
determine whether the data support or discredit the model.
This course is equivalent to a non-calculus-based introductory
college statistics course.

There are also several mathematics courses
offered by the Magnet Program that are available to *any* Blair
students who have completed the appropriate prerequisites. Students
completing A.P. Calculus may take **Multivariable Calculus and
Differential Equations** (also known as **Magnet Analysis
2**) or **Linear Algebra**. Those completing Precalculus
or higher may take **Applied Statistics**. **Discrete Mathematics** is
offered for those who have completed Precalculus with Analysis
and A.P. Computer Science. Finally, if a student manages to finish Multivariable
Calculus and Differential Equations before graduation, he/she
may move onto **Complex Analysis**. Some of these courses
may have additional prerequisites or other requirements; please
see the Magnet Program's
webpages and/or your guidance counselor for more information.