Presentation on theme: "Course Sequencing Mathematics ALLEN ISD Single click HERE."— Presentation transcript:
1CourseSequencingMathematicsALLENISDSingle click HERE
2Back to flow chartOn 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
3Mathematics Course Sequencing Algebra I PAP/IB (Gr. 8)Mathematics Course SequencingMath 8 Pre Algebra (Gr. 8)Geometry (Gr. 9)orGeometry PAP/IB (Gr. 9)Click herewhenfinishedAlgebra IorAlgebra I PAP/IB (Gr. 9)Algebra IIorAlgebra II PAP/IB(Gr. 10)GeometryorGeometry PAP/IB(Gr. 10)Math Models(Gr. 11)Pre CalculusorPre Calculus PAP/IBIB Math SL I(Gr. 11)(Gr. 11)Algebra IIorAlgebra II PAP/IBAlgebra II (Gr. 12)(Gr. 11)CalculusorAP Calculus ABAP Calculus BCand/orAP Prob & StatsIB Math StudiesQuantitative Reasoning(Gr. 12)Algebra IIIorPre CalculusPre Calculus PAP/IBQuantitative ReasoningCollege Algebra/TrigIB Math StudiesStatisticsIB Math SL II(Gr. 12)(Gr. 12)
4Offered as a credit recovery course only Algebra l Grade: 9-12MA1A1A / MA1A1B Credit: 1The 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 chartRequired course for all diploma plans, distinguished, recommended and minimumOffered as a credit recovery course only
5Algebra l Pre-AP /IB Grade: 8-9 Credit: 1Back to flow chartThis course is not offered at AHS. Allen High School students have taken this course in 8th or 9th grade.
6Required course for distinguished and recommended diploma plans Geometry Grade: 9-12MA1GEA / MA1GEB Credit: 1Prerequisite: Algebra lGeometry 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 chartRequired course for distinguished and recommended diploma plansSee Geometry Pre-AP/IB slide before deciding which course is right for you.
7Geometry Pre-AP/IB Grade: 9-12 MA2GEA / MA2GEB Credit: 1Prerequisite: Algebra lThis 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 chartGeometry (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-levelStudents 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
8Meant to strengthen concepts learned in Algebra I and geometry Back to flow chartMathematical Models with Applications Grade: 10-11MA1MOA / MA1MOB Credit: 1Prerequisite: Algebra I and GeometryMMA continues the study of concepts examined in Algebra l and Geometry. Students will expand theirunderstanding 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 geometryMUST be taken prior to Algebra II to count as a one of the four math creditsApproximately one-third of the course will be spent covering consumer math topics.
9Required course for distinguished and recommended diploma plans Algebra ll Grade: 10-12MA1A2A / MA1A2B Credit: 1Prerequisite: Algebra l and GeometryThis 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 chartRequired course for distinguished and recommended diploma plansSee Algebra II Pre-AP/IB slide before deciding which course is right for youStudents who did well in Algebra 1 tend to be successful in this course. Your grade in Geometry does not have a direct correlation to predict success.
10Algebra ll Pre-AP/IB Grade: 9-12 MA2A2A / MA2A2B Credit: 1Prerequisite: Algebra l and GeometryAlgebra 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.Back to flow chartAlgebra 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
11Continuation of topics learned in Algebra II Algebra lll Grade: 12MA1A3A / MA1A3B Credit: 1Prerequisite: Algebra I , Geometry, and Algebra llMajor topics of study: operations with real and complex numbers, exponents and radicals; solutions ofequations: rational, quadratic, polynomial with practical applications; solutions of systems of equationsand inequalities; functions; sequences and series. Algebra lll is designed for students who need moreexperience with algebra before taking Pre-Calculus or College Algebra.Back to flow chartContinuation of topics learned in Algebra IIDesigned to strengthen algebra skills and prepare students for college algebra
12Back to flow chartPre-Calculus Grade: 10-12MA1PCA / MA1PCB Credit: 1Prerequisite: Algebra I, Geometry and Algebra llPre-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 calculusStudents looking for a challenge, and that intend on taking further math (in high school or college) should consider this courseStrong algebraic skills and mastery of Algebra II concepts is essentialSee Pre-Calculus Pre-AP slide before deciding which course is right for you
13A strong algebraic background is required Based on a 4.5 weighted GPA Back to flow chartPre-Calculus Pre-AP Grade: 10-12MA2PCA / MA2PCB Credit: 1Prerequisite: Algebra I, Geometry and Algebra llPre-Calculus Pre-AP covers the same topics as Pre-Calculus; however, more emphasis is placed ontheoretical demonstrations and broader applications. The student must abide by AHS registration and drop policies.Recommended for students considering math, science or engineering majorsStudents will further their studies of Algebra, discover and apply trigonometric properties, and prepare for concepts taught in calculusStudents 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 requiredBased on a 4.5 weighted GPA
14Calculus Grade: 11-12MA1CAA / MA1CAB Credit: 1Prerequisite: Pre-CalculusThis 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 chartCourse is geared toward students that struggled in Pre-Calculus, but still want the calculus experienceCalculus concepts are covered at a slower pace and in less depth than AP CalculusCollege credit is not given for this course, but it will help students be more successful in college calculusPlease see descriptions of all calculus courses before making your decision
15Logical course to follow Pre-Calculus Pre-AP Back to flow chartAP Calculus AB Grade: 11-12MA3CAA / MA3CAB Credit: 1Prerequisite: Pre-CalculusAP 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-APStudents should expect to spend the same amount of time to earn the same grade in Pre-Calculus Pre-APCollege level courseStudents can earn up to 5 hours of college credit if successful on the AP exam in MayBased on 5.0 weighted GPAPlease see descriptions of all calculus courses before making your decision
16Please see descriptions of all calculus courses before making decision Back to flow chartAP Calculus BC Grade 11-12MA3CBA / MA3CBB Credit: 1Prerequisite : Pre-CalculusAP 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 materialRecommended for students that truly enjoy math and seriously plan on majoring in math, engineering or science in collegeStudents can earn up to 10 hours of college credit if successful on the AP exam in MayStudents gain no advantage to GPA or class rank by taking BC over AB CalculusBased on 5.0 weighted GPAPlease see descriptions of all calculus courses before making decision
17Statistics is a growing requirement for many majors in college AP Probability and Statistics Grade: 11-12MA3STA / MA3STB Credit: 1Prerequisite: Pre-CalculusThis 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.Back to flow chartStatistics is a growing requirement for many majors in collegeStudents will learn methods for gathering and analyzing data, experimental design, probability and statistical inferenceDuring the statistical inference section of the course, students will enjoy projects some of which involve foodA great alternative to the typical math courseStudents may earn up to 3 hours of college credit if successful on the AP exam in MayBased on 5.0 weighted GPA
18IB Math Standard Level I (Full IB Diploma ONLY) Grade: 11 MA4S1A / MA4S1B Credit: 1Prerequisite: Algebra l, Geometry, and Algebra IIThis 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 chartTwo year math course commitment (students MUST take IB Math Standard Level II)Students should possess knowledge of algebraic and geometric math concepts and be able to apply them to solve realistic problemsGreat 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
19Continuation of IB Math Standard Level I IB Math Standard Level II (Full IB Diploma ONLY) Grade: 12MA4S2A / MA4S2B Credit: 1Prerequisite: IB Math Standard Level IThis course is a continuation of Pre-IB Math Standard Level. 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.Back to flow chartContinuation of IB Math Standard Level IStudents will take the IB exam during this courseBased on a 5.0 weighted GPA
20Students must take BOTH courses Back to flow chartCollege Algebra / Plane Trigonometry Grade: 12MA5CAA / MA5CAB (Collin College – Dual Credit)See Collin College Admissions Policy Both courses must be taken (.5 credit each)Students will fulfill the TEKS for Pre-Calculus and the Collin College requirements forCollege Algebra, Math1314 (3 college credit hours) andPlane Trigonometry, Math 1316 (3 college credit hours).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 coursesStudents must meet Collin College admission standardsIf successful, students will earn 6 hours of college math credit while earning one year of high school math creditPlease visit Ashby Williams in the College and Career Center for more information
21Main focus of course will be on statistics Back to flow chartAdvanced Quantitative Reasoning Grade: 12MA1QRA / MA1QRB Credit: 1Prerequisite: Algebra I , Geometry, and Algebra llIn 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 statisticsProject and experiment basedGreat alternative for students looking for a 4th year of math that is not based solely on algebra
22One year math course based on a 5.0 GPA IB Math Studies Grade: 11-12MA4MSA / MA4MSB Credit: 1Prerequisite: Algebra 1, Geometry, and Algebra IIThe 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 chartOne year math course based on a 5.0 GPAWill 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 assessmentsThe workload and commitment for this course will be the same as other IB courses
23Statistics. Grade: 10-12 MA1STA / MA1STB Statistics Grade: MA1STA / MA1STB Credit: 1 Prerequisite: Algebra I and Geometry (May be taken concurrently.) In this course, students will work with statistical measures of central tendency and spread, methods of data collection, probability, binomial and normal distributions, hypothesis testing and confidence intervals. Students will use multiple representations to present data including oral presentations, written descriptions, numerical statistics, formulas, and graphs. The use of a graphing calculator is a major component of this course.Back to flow chart
24Allen 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