For The Foundation High School Program, Math Credits Must Be In Courses From Algebra I Level And Higher.
*See Recommended Math Sequences in the Foundational High School Program section of the Graduation Requirements page.
COLLEGE ENTRANCE REQUIREMENTS
In the area of mathematics, college entrance requirements vary. Some universities require that the student have high school credit in Algebra I, Algebra II, Geometry and Precalculus. Others require either Algebra I and Geometry or Algebra I and Algebra II. Junior colleges usually require two years credit in mathematics. Students should check with the college of their choice prior to planning their high school mathematics courses.
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Syllabi for Mathematics
Mathematics Courses
Algebra I
In Algebra I, students will build on the knowledge and skills for mathematics in Grades 6-8, which provide a foundation in linear relationships, number and operations, and proportionality. Students will study linear, quadratic, and exponential functions and their related transformations, equations, and associated solutions. Students will connect functions and their associated solutions in both mathematical and real-world situations. Students will use technology to collect and explore data and analyze statistical relationships. In addition, students will study polynomials of degree one and two, radical expressions, sequences, and laws of exponents. Students will generate and solve linear systems with two equations and two variables and will create new functions through transformations. End of Course (EOC) Tested.
Prerequisites: Mathematics, Grade 8 or its equivalent
Pre-AP Algebra I
In Pre-AP Algebra I, students develop a understanding of linear relationships emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities. Taken together, these ideas provide powerful conceptual tools that students can use to make sense of their world through mathematics. The Pre-AP mathematics areas of focus are aligned to the disciplinary practices that are fundamental to mathematics in high school, AP courses, and beyond. This gives students multiple opportunities to think and work like mathematicians as they develop and strengthen these disciplinary reasoning skills throughout their education: connections among multiple representations, authentic applications and modeling, engagement in mathematical argumentation.
Prerequisites: Grade 8 Math
Geometry
In Geometry, students will build on the knowledge and skills for mathematics in Kindergarten – Grade 8 and Algebra I to strengthen their mathematical reasoning skills in geometric contexts. Within the course, students will begin to focus on more precise terminology, symbolic representations, and the development of proofs. 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 will connect previous knowledge from Algebra I to Geometry through the coordinate and transformational geometry strand. In the logical arguments and constructions strand, students are expected to create formal constructions using a straight edge and compass. Though this course is primarily Euclidean Geometry, students should complete the course with an understanding that non-Euclidean Geometries exist. Due to the emphasis of probability and statistics in the college and career readiness standards, standards dealing with probability have been added to the geometry curriculum to ensure students have proper exposure to these topics before pursuing their post- secondary education.
Prerequisites: Algebra I
Pre-AP Geometry
Pre-AP Geometry with Statistics provides students with a conceptual bridge between algebra and geometry that deepens their understanding of mathematics. The course includes a unit of statistics and probability to support students’ understanding of concepts essential to quantitative literacy. Throughout the course, students solve problems across the domains of algebra, geometry, and statistics. The Pre-AP mathematics areas of focus are vertically aligned to the mathematical practices that are fundamental to the discipline of mathematics in high school, AP courses, and beyond. This gives students multiple opportunities to think and work like mathematicians as they develop and strengthen these disciplinary reasoning skills throughout their education: connections among multiple representations, authentic applications and modeling, engagement in mathematical argumentation
Prerequisites: Algebra I or Pre-AP Algebra I
Mathematical Models with Applications
Mathematical Models with Applications is designed to build on the knowledge and skills for mathematics in Kindergarten- Grade 8 and Algebra I. This mathematics course provides a path for students to succeed in Algebra II and prepares them for various post-secondary choices. Students learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Students will select from tools such as physical objects; manipulatives; technology, including graphing calculators, data collection devices, and computers; and paper and pencil and from methods such as algebraic techniques, geometric reasoning, patterns, and mental math to solve problems.
Prerequisites: Algebra I
Algebraic Reasoning
In Algebraic Reasoning, students will build on the knowledge and skills for mathematics in Kindergarten- Grade 8 and Algebra I, continue with the development of mathematical reasoning related to algebraic understandings and processes, and deepen a foundation for studies in subsequent mathematics courses. 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 workforce and college readiness such as probes, measurement tools, and software tools, including spreadsheets.
Prerequisites: Algebra I
Algebra II
In Algebra II, students will build on the knowledge and skills for mathematics in Kindergarten- Grade 8 and Algebra I. 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. In addition, students will extend their knowledge of data analysis and numeric and algebraic methods.
Prerequisites: Algebra I
Pre-AP Algebra II
In Pre-AP Algebra II, students solidify and extend the understanding of functions and data analysis developed in prior courses.
Students build upon linear, quadratic, and exponential functions as they work to define logarithmic, polynomial, rational, square root, cube root, and trigonometric functions. Quantitative literacy is developed by weaving data sets, contextual scenarios, and mathematical modeling throughout the course. The Pre-AP mathematics areas of focus are vertically aligned to the mathematical practices that are fundamental to the discipline of mathematics in high school, AP courses, and beyond. This gives students multiple opportunities to think and work like mathematicians as they develop and strengthen these disciplinary reasoning skills throughout their education: connections among multiple representations, authentic applications and modeling, and engagement in mathematical argumentation.
Prerequisites: Algebra I, Advanced Algebra I, or Pre-AP Algebra I
Onramps College Algebra
Students deepen their critical thinking skills and develop their ability to persist through challenges as they explore function families: Linear, Absolute Value, Quadratic, Polynomial, Radical, Rational, Exponential, and Logarithmic. Students analyze data algebraically and with technology while developing their knowledge of properties of functions, matrices and systems of equations, and complex numbers. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. Students will experience a high-quality curriculum designed by the faculty at The University of Texas at Austin. Using an Inquiry-Based Approach, students take an active role in the construction of their learning. This learning will be accomplished by abstraction, generalization, problem-solving, and modeling. Successful completion of this course earns college credit for UT M301 or Math 1324 and high school credit for Algebra II or Independent Study in Math if a student already has earned an Algebra II credit.
Prerequisites: Algebra I and Geometry
Precalculus
Precalculus is the preparation for Calculus. The course approaches topics from a function point of view, where appropriate, and is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. The study of Precalculus deepens students’ mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems.
Prerequisites: Algebra I, Geometry, and Algebra II
Advanced Placement Precalculus
AP Precalculus is designed to offer high school students a research-based exploration of functions designed to better prepare students for college-level calculus and provide grounding for other mathematics and science courses. In this course, students study a broad spectrum of function types that are foundational for careers in mathematics, physics, biology, health science, social science, and data science. During this course, students acquire and apply mathematical tools in real-world modeling situations in preparation for using these tools in college-level calculus. AP Precalculus fosters the development of a deep conceptual understanding of functions. As a result of examining functions from many perspectives, students develop a conceptual understanding not only of specific function types but also of functions in general. This type of understanding helps students to engage with both familiar and novel contexts. Students are encouraged to take the Advanced Placement test at the completion of the course.
Prerequisites: Geometry and Algebra II
Onramps Discovery Precalculus
Students will deepen and extend their knowledge of functions, graphs, and equations from their high school algebra and geometry courses so 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†type exercises, with an emphasis on unpacking mathematical definitions and making logical arguments to their peers. The students will strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations with algebra and trigonometry and extend their ability to make connections and apply concepts and procedures at higher levels. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems. Each unit consists of a series of explorations designed to engage students and empower them to develop their problem-solving skills alongside the teacher. In each exploration, students will create connections with prior concepts in developing the current topic. Students will experience high-quality curriculum designed by the faculty at the University of Texas at Austin. The pedagogy of the course, Inquiry-Based Learning, encourages students to take an active role in the construction of their learning. Successful completion of this course earns 3 college credits for UT M 305G and high school credit for Precalculus.
Prerequisites: Geometry and Algebra II
Statistics
In Statistics, students will build on the knowledge and skills for mathematics in Kindergarten- Grade 8 and Algebra I. 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 connect data and statistical processes to real-world situations. In addition, students will extend their knowledge of data analysis.
Prerequisites: Algebra I
Advanced Placement Statistics
The AP Statistics course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes evident in the content, skills, and assessment in the AP Statistics course: exploring data, sampling and experimentation, probability and simulation, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.
Prerequisites: Algebra II
Onramps Elementary Statistical Methods
Students develop the quantitative reasoning skills and habits of mind necessary to use data science and mathematical thinking effectively across multiple disciplines while learning the interactive applications and coding skills needed to meet the demands of higher education and the workplace. In this introductory statistics course, high school students have the opportunity to develop quantitative reasoning skills, broaden their knowledge of variability and statistical processes, connect data to real world situations, and develop the habits of the mind necessary to use data science and mathematical thinking effectively across multiple disciplines. This course will hone relevant mathematical and critical thinking skills through scaffolded learning experiences and statistical methodologies. Students will learn the foundations of data science by engaging in hands-on analysis of real data, methods to extract key insights, and coding skills aligned to the expectations of higher education and today’s workplace. Students will experience interactive applications built into the high-quality curriculum designed by the faculty at the University of Texas at Austin, allowing them to discover a more intuitive understanding of concepts. Collaborative problem-solving will be used to strengthen mathematical connections while individual depth of understanding will be reflected in regular assessments. Students can earn three hours of UT Austin credit with feedback and assessment provided by UT Austin course staff. Successful completion of this course earns college credit for UT SDS 302 or Math 1345 and high school credit for Statistics or Independent Study in Math if a student already has earned a Statistics credit.
Prerequisites: Algebra I Geometry and Algebra II preferred
