Course
Sequencing
Single click HERE
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On the next slide you will see a flow chart for math
course sequencing at AHS. Locate the class you are
currently in. Follow the flow chart arrows and
SINGLE click on a course you might be interested in.
After you read the information, SINGLE click on
“Back to flow chart” so you may then explore other
courses as well.
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MATHEMATICS COURSE SEQUENCING
Algebra I PAP/IB (Gr. 8)
Math 8 Pre Algebra (Gr. 8)
Click here
when
finished
Geometry (Gr. 9)
or
Geometry PAP/IB (Gr. 9)
or
Algebra I PAP/IB (Gr. 9)
Concurrent
enrollment
Geometry
(Gr. 10)
or
Geometry PAP/IB
Algebra II (Gr. 10)
or
Algebra II PAP/IB
Pre Calculus
Pre - IB Math SL
(Gr. 11)
Algebra I
or
Pre Calculus PAP/IB
Calculus (Gr. 12)
or
IB Math SL II
AP Calculus AB
(Gr. 12)
AP Calculus BC
or
and/or
AP Prob & Stats
or
College Algebra/Trig
or
IB Math Studies
Math Models
(Gr. 10 or 11)
Algebra II
or (Gr. 11)
Algebra II PAP/IB
Algebra II (Gr. 12)
Algebra III
or
Pre Calculus
(Gr. 12)
or
Pre Calculus PAP/IB
or
Quantitative Reasoning (statistics)
or
College Algebra/Trig
or
IB Math Studies
Algebra l
MA1A1A / MA1A1B
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Grade: 9-12
Credit: 1
The focus of Algebra l is to develop in the ability to work with linear functions and quadratic
functions. The student will use these functions to develop relationships among the different types
of functions and to understand the attributes of the function. The student will analyze functions
graphically, verbally, numerically, and symbolically. Included in the Algebra course is a study of the
attributes and properties of polynomials, exponents, irrational numbers, inequalities, and square
roots and their connection to functions. The use of the graphing calculator is a major component in
the teaching of this course.
• Required course for all diploma plans,
distinguished, recommended and
minimum
• Offered as a credit recovery course only
Algebra l Pre-AP /IB
Credit: 1
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Grade: 8-9
• This course is not offered at AHS. Allen
High School students have taken this
course in 8th or 9th grade.
Geometry
MA1GEA / MA1GEB
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Grade: 9-12
Credit: 1
Prerequisite: Algebra l
Geometry is designed to develop an understanding of the basic structure of plane and spatial
geometry. Students will develop the ability to analyze geometric relationships, make and verify
conjectures, apply logical reasoning to justify and prove mathematical statements, and use a variety
of representations to describe geometric relationships and solve problems. This course allows
students to apply algebraic skills in a logical and concrete manner.
• Required course for distinguished and
recommended diploma plans
• See Geometry Pre-AP/IB slide before
deciding which course is right for you.
Geometry Pre-AP/IB
MA2GEA / MA2GEB
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Grade: 9-12
Credit: 1
Prerequisite: Algebra l
This course takes all of the goals of the regular Geometry course and further explores the content
with an emphasis on problem solving in a multi-step format. Strategies and testing using the AP
and IB formats are alternated with the intent of preparing students to enter our AP upper
mathematics program or our IB program of mathematics. The student must abide by AHS
registration and drop policies.
•
Geometry (on-level or Pre-AP/IB) is a required course for
distinguished and recommended diploma plans.
•
Pre-AP/IB places a greater emphasis on problem solving and
proofs than on-level
•
Students choosing Geometry Pre-AP/IB should have a strong work
ethic, be motivated, able to transfer previously learned material
and willing to ask for help. Strong Algebra skills are highly
recommended.
•
Based on a 4.5 weighted GPA
Mathematical Models with Applications
MA1MOA / MA1MOB
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Grade: 10-11
Credit: 1
Prerequisite: Algebra I and Geometry (May be taken concurrently with Geometry)
Click the link above to find out more about concurrent enrollment
MMA continues the study of concepts examined in Algebra l and Geometry. Students will expand their
understanding of graphical and geometric reasoning through real world applications. Math Models
strengthens skills/concepts from Algebra l/Geometry to prepare students for Algebra ll. In order for this
course to count as one of the four math credits required by the State, both semesters must be
successfully completed and the credit earned before Algebra II may be taken.
•
Meant to strengthen concepts learned in Algebra I and
geometry
•
MUST be taken prior to Algebra II
•
Students wishing to graduate on the recommended plan
should not take this course their junior year.
•
Please see counselor for more information and/or to
enroll in this class
Algebra ll
MA1A2A / MA1A2B
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Grade: 10-12
Credit: 1
Prerequisite: Algebra l and Geometry
This course allows students to continue their study of algebraic concepts that began in Algebra I and
applied in Geometry in order to better understand the connections between them with the purpose of
understanding the structure of Algebra and its connections to Geometry. The study of functions,
equations and their relationships is central to all of mathematics and further pursued in this course.
Students continually use problem-solving, language and communication, and reasoning to make these
connections within and outside of mathematics.
• Required course for distinguished and
recommended diploma plans
• See Algebra II Pre-AP/IB slide before deciding
which course is right for you
Algebra ll Pre-AP/IB
MA2A2A / MA2A2B
Grade: 10-12
Credit: 1
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Prerequisite: Algebra l and Geometry
Algebra ll PAP/IB covers the same topics as Algebra ll with an increased emphasis on complex
problems, applications, and higher level thinking skills. The content goes deeper into understanding
each of the topics and being able to apply and justify in a multi-step format. The student must abide
by AHS registration and drop policies.
• Algebra II (on-level or Pre-AP/IB) is a required course for distinguished
and recommended diploma plans.
• Students who did very well in Algebra 1 tend to be successful in this
course. Your grade in Geometry does not have a direct correlation to
predict success.
•
•
Students choosing Algebra II Pre-AP/IB should have a strong work ethic,
be motivated, able to transfer previously learned material and willing to
ask for help.
Click here to see
Based on a 4.5 weighted GPA
Problems I should be able to Solve with
little or no review
Algebra lll
MA1A3A / MA1A3B
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Grade: 12
Credit: 1
Prerequisite: Algebra I , Geometry, and Algebra ll
Major topics of study: operations with real and complex numbers, exponents and radicals; solutions of
equations: rational, quadratic, polynomial with practical applications; solutions of systems of equations
and inequalities; functions; sequences and series. Algebra lll is designed for students who need more
experience with algebra before taking Pre-Calculus or College Algebra.
• Continuation of topics learned in Algebra II
• Designed to strengthen algebra skills and
prepare students for college algebra
Pre-Calculus
MA1PCA / MA1PCB
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Grade: 10-12
Credit: 1
Prerequisite: Geometry and Algebra ll
Pre-Calculus allows students to use symbolic reasoning and analytical methods to represent
mathematical situations, to express generalizations and to study mathematical concepts and the
relationships among them. Students use functions, equations, and limits as useful tools for expressing
generalizations and as a means for analyzing and understanding mathematical relationships.
•
Students will further their studies of Algebra, discover and apply
trigonometric properties, and prepare for concepts taught in
calculus
•
Students looking for a challenge, and that intend on taking further
math (in high school or college) should consider this course
•
Strong algebraic skills and mastery of Algebra II concepts is
essential
•
See Pre-Calculus Pre-AP slide before deciding which course is
right for you
Pre-Calculus Pre-AP
MA2PCA / MA2PCB
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Grade: 10-12
Credit: 1
Prerequisite: Algebra I, Geometry and Algebra ll
Pre-Calculus Pre-AP covers the same topics as Pre-Calculus; however, more emphasis is placed on
theoretical demonstrations and broader applications. The student must abide by AHS registration and
drop policies.
• Recommended for students considering math, science or
engineering majors
• Students will further their studies of Algebra, discover and apply
trigonometric properties, and prepare for concepts taught in
calculus
• Students choosing Pre-Calculus Pre-AP should have a strong
work ethic, be motivated, able to transfer previously learned
material and willing to ask for help.
• A strong algebraic background is required
• Based on a 4.5 weighted GPA
Calculus
MA1CAA / MA1CAB
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Grade: 11-12
Credit: 1
Prerequisite: Pre-Calculus
This is not an AP course. Students successfully completing this course receive Pre-AP/IB
weighted GPA.
Calculus builds upon the study of mathematical properties, graphs of functions, as well as limits,
derivatives and integrals.
• Course is geared toward students that struggled in PreCalculus, but still want the calculus experience
• Calculus concepts are covered at a slower pace and in
less depth than AP Calculus
• College credit is not given for this course, but it will help
students be more successful in college calculus
• Please see descriptions of all calculus courses before
making your decision
AP Calculus AB
MA3CAA / MA3CAB
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Grade: 11-12
Credit: 1
Prerequisite: Pre-Calculus
AP Calculus AB is a college level course. It is primarily concerned with developing the students’
understanding of the concepts of calculus and providing experience with its methods and applications.
The course emphasizes a multi-representational approach to calculus , with concepts, results and
problems being expressed graphically, numerically, analytically, and verbally. These topics are the
focus of the AP exam questions.
The student must abide by AHS registration and drop policies. Students are expected to take
the AP exam in May.
• Logical course to follow Pre-Calculus Pre-AP
• Students should expect to spend the same amount of time to earn the
same grade in Pre-Calculus Pre-AP
• College level course
• Students can earn up to 5 hours of college credit if successful on the AP
exam in May
• Based on 5.0 weighted GPA
• Please see descriptions of all calculus courses before making your decision
AP Calculus BC
MA3CBA / MA3CBB
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Grade 11-12
Credit: 1
Prerequisite : Pre-Calculus
AP Calculus BC is an extension of AP Calculus AB. Common topics require a similar depth of
understanding. Included among the extensions in Calculus BC are the study of infinite series and the
study of the calculus of vector-valued functions. This course will include review of Statistics, PreCalculus, and AP Calculus BC in preparation for the AP Calculus BC Math exam.
The student must abide by AHS registration and drop policies. Students are expected to take
the AP exam in May.
• Course covers the first two semesters of college Calculus in the same
amount of time AB Calculus covers one semester of material
• Recommended for students that truly enjoy math and seriously plan on
majoring in math, engineering or science in college
• Students can earn up to 10 hours of college credit if successful on the AP
exam in May
• Students gain no advantage to GPA or class rank by taking BC over AB
Calculus
• Based on 5.0 weighted GPA
• Please see descriptions of all calculus courses before making decision
AP Probability and Statistics
MA3STA / MA3STB
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Grade: 11-12
Credit: 1
Prerequisite: Pre-Calculus
This course is designed to expose the students to four broad conceptual statistical themes: Exploring
Data, Sampling and Experimentation of Data, Anticipating Patterns, and Statistical Inference. These
topics listed are the focus of the AP exam questions.
The student must abide by AHS registration and drop policies. Students are expected to take
the AP exam in May.
• Statistics is a growing requirement for many majors in college
• Students will learn methods for gathering and analyzing data,
experimental design, probability and statistical inference
• During the statistical inference section of the course, students will
enjoy projects some of which involve food
• A great alternative to the typical math course
• Students may earn up to 3 hours of college credit if successful on
the AP exam in May
• Based on 5.0 weighted GPA
Pre - IB Math Standard Level
MA4S1A / MA4S1B
(Replacing IB MATH SL 1)
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Grade: 11
Credit: 1
Prerequisite: Algebra l, Geometry, and Algebra II
This course is the first year of a two year course of study for students who already possess knowledge
of basic mathematical concepts, and who are equipped with the skills needed to apply algebraic and
geometric techniques correctly. The course focuses on introducing important mathematical concepts
through the development of mathematical techniques. Students will apply the mathematical
knowledge they have acquired to solve realistic problems in a written assessment that will be part of
the compiled IB exam taken at the end of the second year. The topics of study in year one are:
vectors, probability, statistics, functions and differential calculus..
• Two year math course commitment (students MUST take IB Math
Standard Level 2)
• Students should possess knowledge of algebraic and geometric math
concepts and be able to apply them to solve realistic problems
• Great math class for students planning on majoring in subjects that require
some math like business, psychology, and non-math based sciences such
as biology.
• Based on a 4.5 weighted GPA
IB Math Standard Level 2
MA4S2A / MA4S2B
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Grade: 12
Credit: 1
Prerequisite: Standard Level 1
This course is a continuation of IB Math Standard Level 1. The topics of study in year two are:
matrices, trigonometry, differential and integral calculus. The students will complete their internal
assessments and prepare for the IB exam given in May.
The student must abide by AHS registration and drop policies. Students are expected to take
the IB exam in May.
• Continuation of Pre - IB Math Standard Level
• Students will take the IB exam during this
course
• Based on a 5.0 weighted GPA
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College Algebra / Plane Trigonometry
MA5CAA / MA5CAB
See Collin College Admissions Policy
Grade: 12
(Collin College – Dual Credit)
Both courses must be taken (.5 credit each)
College Algebra: Relations and functions: linear, polynomial, rational, exponential, logarithmic and
inverse functions, composition of functions, absolute value, theory and systems of equations, complex
numbers, matrices, sequences and the binomial theorem. Graphing calculator required.
Plane Trigonometry: Angular measure, functions of angles, identities, solution of triangles, equations,
inverse trigonometric functions, complex numbers and polar coordinates. Graphing calculator
required.
• Students must take BOTH courses
• Students must meet Collin College admission standards
• If successful, students will earn 6 hours of college math credit
while earning one year of high school math credit
• Please visit Melissa Blank in the College and Career Center
for more information
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Quantitative Reasoning (Statistics)
MA1QRA / MA1QRB
Grade: 12
Credit: 1
Prerequisite: Algebra I , Geometry, and Algebra ll
In Quantitative Reasoning (AQR), students continue to build upon their Algebra I, Geometry, and
Algebra II foundations as they expand their understanding through further mathematical experiences.
AQR includes the analysis of information using statistical methods and probability, modeling change
and mathematical relationships, and spatial and geometric modeling for mathematical reasoning.
Students learn to become critical consumers of real-world quantitative data, developing critical skills for
success in college and future careers.
• Main focus of course will be on statistics
• Project and experiment based
• Great alternative for students looking for a 4th year of
math that is not based solely on algebra
IB Math Studies
MA4MSA / MA4MSB
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Grade: 11-12
Credit: 1
Prerequisite: Algebra 1, Geometry, and Algebra II
The math Studies SL course gives a sampling of several math topics that are offered in college. These include, but are
not limited to, the history of mathematics, trigonometry, statistics, number theory, and calculus,. The course is offered
to students with varied backgrounds and abilities. It is designed to build confidence and encourage an appreciation of
mathematics in students, some of whom do not anticipate a need for mathematics in their future studies. The key
objective of this course is to introduce students to mathematical concepts and principles through the development of
various techniques, allowing for the possibilities of the practical and real-world application of the subject. Assessments
will include the following items: class work exercises, homework assignments, quizzes, exams, class projects, midterm
and final exams. A key component of the mathematics studies course will be the IB project, in which the student will
produce a piece of written work based on personal research that is guided and supervised by the teacher and
cumulative written exam.
•
One year math course based on a 5.0 GPA
•
Will fulfill the math component needed for IB diploma; however, the course
is open to all seniors that have completed Algebra II. (Juniors must be full
IB diploma candidates.)
•
Full IB candidates must complete the IB project and 2 external cumulative
assessments
•
The workload and commitment for this course will be the same as other IB
courses
Allen High School offers a much wider variety of math
classes than most high schools. You owe it to yourself
to spend some time finding the math class that matches
your skill level and interests.
Good luck making your course selections. If you have
more questions or are uncertain what class to take,
speak to your counselor, math teacher, or a teacher who
teaches the course to find out more information !
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Problems I should be able to complete with very little review
1.
x  2  x  3
9
7
4
4
x  7  
2.
3
5
3. Factor the following :
A. x 2  5 x  6
B. x 2  16
C. 2 x 2  6 x
4. List the first ten perfect squares
and the first five perfect cubes.
5. Make a table of values
and graph the following :
1
f ( x) 
x2
4
6. Write an equation using
three linear forms with a
slope of 3 that intersects
(2,5) :
A. Slope-intercept
B. Standard
C. Point-slope
7. Solve the system:
2x + 3y = 5
-2x – 4y = -6
Geometry/Math Models Concurrent Enrollment
Due to current STAAR/EOC testing standards, students wishing to
graduate on the recommended diploma plan will no longer be able to
follow the path:
Geometry
 Math Models 
Algebra II
(sophomore year)
(junior year)
(senior year)
Instead students will need to take Algebra II their junior year.
• To help students prepare for the jump from Geometry to Algebra II we
are offering Math Models concurrently (to be taken at the same time)
with Geometry during 10th grade.
• The intent of geometry/math models concurrent enrollment is to
strengthen students’ math skills so they will have the best chance at
success in Algebra II and beyond.
• Math Models taken concurrently with geometry will still count as a math
credit. It is NOT a remediation class.
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