HS Mathematics Courses

Mathematics

Algebra 1

Grade: 9-12    Credit: 1 – full year

RISD: 3009 PEIMS: 03100500

Prerequisite: 8th grade math or equivalent

Endorsement: Multi

NCAA Approved

In Algebra 1, students will study linear, quadratic, and exponential functions and their related transformations, equations and associated solutions. Students will study polynomials, radical expressions, sequences, laws of exponents and linear systems. The students will connect functions and their associated solutions in both mathematical and real-world situations. Students will use technology to analyze statistical relationships. 

Algebra 1 - Advanced

Grade: 9-12     Credit: 1 – full year

RISD: 3016   PEIMS: 03100500

Prerequisite: 8th grade math or equivalent

Endorsement: Multi

NCAA Approved

UIL Exempt Course

QP - 5

Students will study linear, quadratic, and exponential functions and their related transformations, equations, and associated solutions. Students will study polynomials, radical expressions, sequences, law of exponents and linear systems. The students will connect functions and their associated solutions in both mathematical and real-world situations. Students will use technology to analyze statistical relationships. These concepts will involve more in-depth problem solving experiences than Algebra 1. Advanced courses focus intently on preparing students for a successful transition to college credit courses such as Advanced Placement (AP), University of Texas OnRamps and dual credit and future college success.

Algebraic Reasoning

Grade: 9-12     Credit: 1 – full year

RISD: 3122           PEIMS: 03102540

Prerequisite: Algebra 1

Endorsement: Multi


Students will broaden their knowledge of functions and relationships, including linear, quadratic, square root, rational, cubic, cube root, exponential, absolute value, and logarithmic functions. Students will study these functions through analysis and application that includes explorations of patterns and structure, number and algebraic methods, and modeling from data using tools that build to workforces and college readiness. This course meets the requirement for the fourth mathematics credit.

Geometry

Grade: 9-12       Credit: 1 – full year

RISD: 3012         PEIMS: 03100700

Prerequisite: Algebra I or concurrent enrollment

Endorsement: Multi

NCAA Approved

In Geometry, students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability.  Students in RISD can enroll concurrently in Algebra 1 and Geometry per Senate Bill 1374.

Geometry Advanced

Grade: 9-12       Credit: 1 – full year

RISD: 3010    PEIMS: 03100700

        W3010 RHS Magnet ONLY

Prerequisite:  Algebra I or concurrent enrollment

Endorsement: Multi

NCAA Approved

UIL Exempt Course

QP - 5


Advanced Geometry is designed for students who have completed their first year of Algebra 1.

The goals and content of this course are the same as those for Geometry but with more in-depth

problem-solving experiences. Students in RISD can enroll concurrently in Algebra 1 and Geometry per Senate Bill 1374. Advanced courses focus intently on preparing students for a successful transition to college credit courses such as Advanced Placement (AP), University of Texas OnRamps and dual credit and future college success.

Algebra 2

Grade: 9-12     Credit: 1 – full year

RISD: 3013        PEIMS: 03100600

Prerequisite: Algebra 1

Endorsement: STEM, Multi

Advanced course

NCAA Approved

In Algebra 2, students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will study logarithmic, square root, cubic, cube root, absolute value, rational functions and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations.

Algebra 2 Advanced

Grade: 9-12     Credit: 1 – full year

RISD: 3014  PEIMS: 03100600

        W3014 – RHS Magnet ONLY

Prerequisite: Algebra 1

Endorsement: STEM, Multi

Advanced course

NCAA Approved

UIL Exempt Course

QP - 5

LHHS, PHS, and RHS ONLY

Advanced Algebra 2 is designed for students who completed the first course of Advanced Algebra 1. Students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will study logarithmic, square root, cubic, cube root, absolute value, rational functions, and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. Advanced courses focus intently on preparing students for a successful transition to college credit courses such as Advanced Placement (AP), University of Texas OnRamps and dual credit and future college success.

OnRamps College Algebra (Algebra 2)

Grade: 9-12     Credit: 1 – full year

RISD: U3013    PEIMS: 03100600

Prerequisite: Algebra 1

Recommended: Geometry

Endorsement: STEM, Multi

Advanced course

QP - 10


Tx Common Course Number: MATH 1314

If a student takes Algebra II OnRamps and accepts the UT Austin college credit for Math 1314, the student will need to determine if they want to take the college course Math 1314 over again Precalculus Dual Credit. Taking Math 1314 in both courses could result in a grade change on your college transcript.

Upon successful completion of this course, the student will have an opportunity to receive RISD credit for graduation and college credit for the University of Texas.

Students who have completed 3014 or 3013 cannot take this course.

OnRamps College Algebra works through a dual enrollment model with the University of Texas at Austin. Through a creative and connected approach, the student will deepen and extend their knowledge of functions (linear, absolute value, quadratic, cubic, polynomial, rational, radical, exponential, and logarithmic), transformations, inverses, matrices and systems of equations, inequalities, complex number systems, modeling, data analysis, function regression, sequences, series, and the binomial theorem. This course is designed to push students well beyond “drill and kill” exercises, emphasizing mathematical definitions and developing logical arguments with peers. 

Precalculus

Grade: 9-12    Credit: 1 – full year

RISD: 3035      PEIMS: 03101100

Prerequisite: Algebra 2 & Geometry

Endorsement: STEM, Multi

Advanced course

NCAA Approved

Students who have completed Precalculus OnRamps (U3035) cannot take this course.

In Precalculus, students deepen their mathematical understanding and fluency with Algebra and Trigonometry and extend their ability to make connections and apply concepts. Students develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations and provide support in solving problems. 

Precalculus - OnRamps

Grade: 9-12   Credit: 1 – full year

RISD: U3035    PEIMS: 03101100

Prerequisite: Algebra 2 & Geometry

Endorsement: STEM, Multi

Advanced course

UIL Exempt Course

QP - 10


Tx Common Course Number: MATH 2312

(Upon successful completion of this course, the student will have an opportunity to receive both RISD credit for graduation and college credit from University of Texas.)

Students who have completed Precalculus (3035) cannot take this course.

OnRamps Precalculus works through a dual-enrollment model with the University of Texas at Austin. Through a creative and connected approach, students deepen and extend their knowledge of functions, graphs, and equations from their high school Algebra and Geometry courses so that they can successfully work with the concepts in a rigorous university-level calculus course. This course is designed to push students well beyond “drill and kill” exercises, emphasizing conceptual understanding of mathematical definitions and developing logical arguments with peers. For more information on OnRamps, see Appendix D.

Precalculus - Dual Credit

Grade: 10-12   Credit: 1 – full year

RISD: 3035D    PEIMS: 03101100

Prerequisite:  Algebra 2, Geometry, TSIA 2 College level ready in Mathematics at the non-algebra or algebra levels.

Endorsement: STEM, Multi

Advanced course

NCAA Approved

UIL Exempt Course

QP - 10


If a student has taken Algebra II OnRamps and accepted the UT Austin college credit for Math 1314, the student will need to determine if they want to take the college course Math 1314 over again in this course Precalculus Dual Credit. Taking Math 1314 in both courses could result in a grade change on your college transcript.

Students can take this as a full year high school course which allows for them to earn college credit, TCCN MATH 1314 College Algebra, during the fall semester.  Alternatively, students can take this course for a full year high school course that includes 2 college courses, TCCN MATH 1314 College Algebra in the fall semester and TCCN MATH 1316 Plane Trigonometry during the spring semester.  Students should check with potential colleges or universities about course transferability.

 

Fall MATH 1314 - This course is an in-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. Optional spring college course MATH 1316- In depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates, and parametric equations may be included. 

Statistics

Grade: 11-12    Credit: 1 – full year

RISD: 3091       PEIMS: 03102530

Prerequisite: Algebra 1

Endorsement: STEM, Multi

In Statistics, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra 1. Students will broaden their knowledge of variability and statistical processes. Students will study sampling and experimentation, categorical and quantitative data, probability and random variables, inference, and bivariate data. Students will extend their knowledge of data analysis.

AP Statistics

Grade: 11-12     Credit: 1 – full year

RISD: 3027    PEIMS: A3100200

Prerequisite: Algebra 2

Endorsement: STEM, Multi

Advanced course

NCAA Approved

UIL Exempt Course

QP - 10


The purpose of this course is to introduce students to the major concepts and tools for collecting,

analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring Data: Observing patterns and departures from patterns; Planning a Study:

Deciding what and how to measure; Anticipating Patterns: Producing models using probability

and simulation; and Statistical Inference: Confirming models. Upon conclusion of this course,

students are expected to take the College Board Advanced Placement exam for AP Statistics. AP Statistics does not prepare students for the SAT/ACT Tests.

OnRamps Statistics

Grade: 11-12      Credit: 1 – full year

RISD: U3028       PEIMS: 03102501

Prerequisite: Algebra 1, Geometry, and Algebra 2 (preferred)

Endorsement: STEM, Multi

Advanced course

UIL Exempt Course

QP - 10


UT Course Code: SDS 302

Upon successful completion of this course, the student will have an opportunity to receive RISD credit for graduation and college credit from University of Texas.

OnRamps Statistics works through a dual-enrollment data analysis for high school juniors and seniors seeking to develop the quantitative reasoning skills and habits of mind necessary to succeed in the higher education environment. This course will target conceptual understanding and hone highly relevant mathematical skills through scaffolded introduction to statistical methodologies, informal game play, and strategic lab exercises that engage students in hands-on analysis of real data. Team-based problem solving is highly valued, and assessments will guide students through self-reflective analyses of their own preparedness and depth of understanding. The following is an outline of the major themes, units, and topics covered in the course: Univariate Descriptives, Bivariate Relationships Modeling Relationships and Uncertainty, Hypothesis Testing, and Categorical Differences.

Advanced Quantitative Reasoning - On-level and Dual Credit

Grade: 11-12    Credit: 1 – full year

RISD: 3123       PEIMS: 03102510

          3123D (Dual Credit)

Prerequisite: Algebra 2 and Geometry

DC Prerequisite: TSIA 2 College level ready in Mathematics at the non-algebra or algebra levels

Endorsement: STEM, Multi

Advanced course

NCAA Approved

QP - 10 (3123D only - fall semester only)


In Advance Quantitative Reasoning, students will develop and apply skills necessary for college, careers, and life. Course content consists primarily of applications of high school mathematics concepts to prepare students to become well-educated and highly informed 21st century citizens. Students will develop and apply reasoning, planning, and communication to make decisions and solve problems in applied situations involving numerical reasoning, probability, statistical analysis, finance, mathematical selection, and modeling with algebra, geometry, trigonometry, and discrete mathematics.

 

Dual Credit: This is a full year high school course which allows for students to earn college credit (TCCN MATH 1332 Contemporary Mathematics (Quantitative Reasoning)) during the fall semester. Students should check with potential colleges or universities about course transferability. This Dual Credit course is intended for non-STEM majors. Topics include introductory treatments of sets and logic, financial mathematics, probability, and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded throughout the course. Additional topics may be covered.

Calculus AB - AP

Grade: 11-12      Credit: 1 – full year

RISD: 3024           PEIMS: A3100101

Prerequisite: Precaclulus

Endorsement: STEM, Multi

Advanced course

NCAA Approved

UIL Exempt Course

QP - 10


Advanced Placement Calculus AB is designed for students who have a thorough knowledge of college preparatory mathematics, including Algebra, Geometry, Trigonometry, and Elementary

Analysis. The course includes a study of elementary functions, properties of limits, the derivative

and applications, techniques of integration, and applications of the definite integral. Upon conclusion of this course, students are expected to take the College Board Advanced Placement exam for AP Calculus AB.

Calculus BC - AP

Grade: 11-12     Credit: 1 – full year

RISD: 3025         PEIMS: A3100103

Prerequisite: Advanced Precalculus

Endorsement: STEM, Multi

Advanced course

NCAA Approved

UIL Exempt Course

QP - 10


Advanced Placement Calculus BC is considerably more extensive than Calculus AB. The Calculus BC course includes a more in-depth study of the topics of Calculus AB as well as a study of sequences and series and elementary differential equations. Upon conclusion of this course, students are expected to take the College Board Advanced Placement exam for AP Calculus AB/BC.

Calculus 3 - Dual Credit

Grade: 11-12    Credit: 1 – full year

RISD: 3058D    PEIMS: 03102500

Prerequisite:  AP Exam score of 3 or higher on Cal BC or College Course Math 2414

Endorsement: STEM, Multi

Advanced course

NCAA Approved

QP - 10


This is a full year high school course that includes 2 college courses, TCCN MATH 2415 Calculus 3 in the fall semester and TCCN MATH 2420 Differential Equations during the spring semester.  Students should check with potential colleges or universities about course transferability.

 

Fall MATH 2415 - is a study of advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral including Green's Theorem, the Divergence Theorem, and Stokes' Theorem. Spring MATH 2420- is a study of ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems, and applications.

Linear Algebra - Dual Credit

Grade: 11-12    Credit: .5one semester

RISD: 3057D    PEIMS: 03102502

Prerequisite:  AP Exam score of 3 or higher on Cal BC or College Course Math 2414

Endorsement: STEM, Multi

Advanced course

NCAA Approved

QP - 10 (spring semester only)


This is a one-semester college course (TCCN MATH 2418 Linear Algebra) which is taught in 1 high school semester for a full year 1.0 high school credit.  Students should check with potential colleges or universities about course transferability.

 

MATH 2418 - Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance; representing and solving systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion; matrices; determinants; linear transformations; quadratic forms; eigenvalues and eigenvectors; and applications in science and engineering. 

Computer Science - AP 

Grade: 9 -12        Credit: 1 – full year

RISD: 7810           PEIMS: A3580110

       W7810 – RHS Magnet ONLY

Prerequisite: Geometry or concurrent enrollment in Geometry

Endorsement: STEM, Multi

Advanced course

UIL Exempt Course

QP - 10


This course prepares students to take the Computer Science A AP exam. Students learn to develop programs utilizing various problem-solving skills and techniques. Topics include object-

oriented programming, data structures, control structures, repetition, algorithm analysis, and a case study. This course can count as a math credit for graduation. Upon conclusion of this course,

students are expected to take the College Board Advanced Placement exam for AP Computer Science.

Engineering Mathematics

Grade: 12     Credit: 1 – full year

RISD: CT3403  PEIMS: 13036700

Prerequisite: Algebra 2

Endorsement: STEM, Multi

Advanced course

NCAA Approved

Berkner High School ONLY

This is a course whereby students use a variety of mathematical methods and models to analyze problems involving data acquisition, spatial applications, electrical measurement, manufacturing processes, materials engineering, mechanical drives, pneumatics, process control systems, quality control, and robotics with computer programming.  Other components include structural design, trigonometry in spatial engineering, tensile strength analysis, compression testing, air volumes, mass and volumetric flow rate, precision measurement tools, safety for the industry, and use of engineering methodologies to build prototypes.  This course can count as a math credit for graduation.

Accounting II

Grade: 11-12      Credit: 1 – full year

RISD: CT3404     PEIMS: 13016700

Prerequisite: Accounting I

Endorsement: B&I, Multi

Advanced course

This course is a continuation of Accounting I whereby students develop Intermediate Accounting skills in areas as financial statements, bond purchases, managerial accounting concepts, budget details, taxes, compliance, and regulatory issues. This course can count as a math credit for graduation.

Financial Math

Grade: 10-12      Credit: 1 – full year

RISD: CT3048     PEIMS: 13018000

Prerequisite: Algebra 1

Endorsement: B&I, Multi

Advanced course

This course is about personal money management.  Students will apply critical-thinking skills to analyze personal financial decisions based on current and projected economic factors.  Students will integrate career and postsecondary education planning into financial decision making. This course can count as a math credit for graduation.

Manufacturing Engineering Tech II

Grade: 11-12    Credit: 1 – full year

RISD: WT3402 PEIMS: 13032950

Prerequisite: Manu. Engineering Tech. 1

Endorsement: B&I, Multi

Advanced course

Richardson High School Magnet ONLY

In Manufacturing Engineering Technology II, students will gain knowledge and skills in the application, design, production, and assessment of products, services, and systems and how those knowledge and skills are applied to manufacturing. The study of Manufacturing Engineering Technology II will allow students to reinforce, apply, and transfer academic knowledge and skills to a variety of interesting and relevant activities, problems, and settings. This course can count as a math credit for graduation.

Robotics II

Grade: 11-12    Credit: 1 – full year

RISD: CT3050  PEIMS: 13037050

      WT3050 – RHS Magnet ONLY

Prerequisite: Robotics I

Endorsement: STEM, Multi

Advanced course

Pearce, Richardson, and Berkner High Schools ONLY

In Robotics 2, students will explore artificial intelligence and advanced programming in the automation robotic industry. Through the implementation of the various design processes, students will transfer academic skills to component design in a project-based environment. Students will build prototypes and use advanced software to test and improve their designs while demonstrating productions, engineering, and problem-solving skills in a real state-of-the-art world environment. This course can count as a math credit for graduation.

Dual Credit Business Math

Grade: 12 Credit: 1 full year

RISD: 3059D PEIMS:03102501

Prerequisite: TSIA 2 Test (must NOT have taken OnRamps Statistics)

Endorsement: B&I, Multidisciplinary

Advanced Course


A student may not take this course if they have taken OnRamps Statistics

 (TCCN) MATH 1324 & BUSI 2305

Dual Credit Business Math is a two-semester course that allows students to earn a full year high school math credit in Business Math and 6 college credit hours in Texas Common Course Numbers (TCCN) MATH 1324 & BUSI 2305. The fall semester is college course MATH 1324 in which the application of common algebraic functions related to business, economics, and social sciences are addressed. The spring semester is college course BUSI 2305 in which descriptive and inferential statistical techniques for business and economic decision making are addressed.

Dual Credit Discrete Math

Grade: 11-12 Credit: 1 - 1 semester

RISD: