Mathematics

1. Course Sequencing Mathematics ALLEN ISD Single click HERE

2. Mathematics Course Sequencing Algebra I PAP/IB (Gr. 8) Math 8 Pre Algebra (Gr. 8) Geometry(Gr. 9) or Geometry PAP/IB(Gr. 9) Algebra I or Algebra I PAP/IB(Gr. 9) Click here when done! Algebra II or Algebra II PAP/IB Geometry or Geometry PAP/IB (Gr. 10) (Gr. 10) Pre Calculus or Pre Calculus PAP/IB (Gr. 11) Math Models(Gr. 11) IB Math Studies or IB Math SL I (Gr. 11) • Algebra II • or • Algebra II PAP/IB (Gr. 11) Algebra II (Gr. 12) Algebra III or Pre Calculus or Pre Calculus PAP/IB or Adv. Quant. Reasoning (statistics) or College Algebra/ Plane Trigonometry Calculus or AP Calculus AB or AP Calculus BC and/or AP Prob & Stats or College Algebra/Trig IB Math SL II (IB Math SL I only)

3. Algebra l Grade: 9-12 MA1A1A / MA1A1B 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. Back to flow chart • Required course for distinguished and recommended diploma plans • Offered as a credit recovery course only via computer at AHS

4. Algebra l Pre-AP /IB Grade: 8-9 Credit: 1 Back to flow chart • This course is not offered at AHS. Allen High School students have taken this course in 8th or 9thgrade.

5. Geometry Grade: 9-12 MA1GEA / MA1GEB 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. Back to flow chart • Required course for distinguished and recommended diploma plans • See Geometry Pre-AP/IB slide before deciding which course is right for you.

6. Geometry Pre-AP/IB Grade: 9-12 MA2GEA / MA2GEB 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. Back to flow chart • 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. • Based on a 4.5 weighted GPA

7. Back to flow chart Mathematical Models with Applications Grade: 11 MA1MOA / MA1MOB Credit: 1 Prerequisite: Algebra I and Geometry 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 with a firm grasp of Algebra I and Geometry should take Algebra II instead of MMA

8. Algebra llGrade: 10-12 MA1A2A / MA1A2B 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. Back to flow chart • Required course for distinguished and recommended diploma plans • See Algebra II Pre-AP/IB slide before deciding which course is right for you

9. Algebra ll Pre-AP/IB Grade: 10-12 MA2A2A / MA2A2B Credit: 1 Prerequisite: Algebra l and Geometry Algebra llPAP/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. Back to flow chart • 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. • Based on a 4.5 weighted GPA Click here to see Problems I should be able to Solve with little or no review

10. Algebra lllGrade: 12 MA1A3A / MA1A3B 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 lllis designed for students who need more experience with algebra before taking Pre-Calculus or College Algebra. Back to flow chart • Continuation of topics learned in Algebra II • Designed to strengthen algebra skills before moving to the next level

11. Back to flow chart Pre-CalculusGrade: 10-12 MA1PCA / MA1PCB 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 recommended • See Pre-Calculus Pre-AP slide before deciding which course is right for you.

12. Back to flow chart Pre-Calculus Pre-AP Grade: 10-12 MA2PCA / MA2PCB 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

13. CalculusGrade: 11-12 MA1CAA / MA1CAB 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. Back to flow chart • Course is geared toward students that struggled in Pre-Calculus, 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

14. Back to flow chart AP Calculus AB Grade: 11-12 MA3CAA / MA3CAB 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

15. Back to flow chart AP Calculus BC Grade 11-12 MA3CBA / MA3CBB 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, Pre-Calculus, 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

16. Back to flow chart AP Probability and Statistics Grade: 11-12 MA3STA / MA3STB 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

17. IB Math Standard Level 1 Grade: 11 MA4S1A / MA4S1B 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.. Back to flow chart • 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 5.0 weighted GPA

18. Back to flow chart IB Math Standard Level 2 Grade: 12 MA4S2A / MA4S2B 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 IB Math Standard Level 1 • Students will take the IB exam during this course • Based on a 5.0 weighted GPA

19. IB Math Higher Level 2 Grade: 12 MA4H2A / MA4H2B Credit: 1 Prerequisite: Higher Level 1 This course is the continuation of the study begun in IB Math Higher Level 1. The topics of study in year two include: differential and integral calculus, material on analysis and approximation, and vectors/geometry in three dimensions. The student must abide by AHS registration and drop policies. Students are expected to take the IB exam in May. Back to flow chart • A continuation of HL1 • You must complete this part of the 2-year course requirement

20. Back to flow chart College Algebra / Plane Trigonometry Grade: 12 MA5CAA / MA5CAB (Collin College – Dual Credit) See Collin College Admissions Policy 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 Pam Hill in the College and Career Center for more information

21. Back to flow chart • Advanced Quantitative Reasoning (Statistics) Grade: 12 • MA1QRA / MA1QRB Credit: 1 • Prerequisite: Algebra I , Geometry, and Algebra ll • In Advanced 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. • NEW math course for 2012 - 2013 • 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

22. Back to flow chart 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. Back to flow chart

23. IB Math Studies Grade: 11-12 MA4MSA / MA4MSB 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. Back to flow chart • NEW math course for 2012 – 2013 • 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 students that have completed Algebra II • Designed for students that with varied backgrounds and abilities that do not anticipate a need for math in future studies • Students must complete the IB project and a cumulative written exam

24. 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 ! Click here to go to the beginning of the presentation

25. Back to PAP Algebra 2 slide Back to Flow Chart Problems I should be able to complete with very little review Write an equation using three linear forms with a slope of 3 that intersects (2,5) : A. Slope-intercept B. Standard C. Point-slope Solve the system: