Math 5

In fifth grade mathematics, the curriculum emphasizes the development of problem-solving skills and strategies. Computation and statistics are taught within a problem-solving context. Students are taught to read and write large numbers and decimal numbers by learning place values of whole numbers through millions and decimal numbers through thousandths. Students learn computational skills for addition and subtraction of numbers up to five digits, multiplication by two- and three-digit numbers, and division with one- and

two-digit divisors. In addition to paper and pencil computation, students learn to use strategies of mental arithmetic. Students are taught to find and extend patterns and to propose rules to describe relationships and to make estimates and predictions. Manipulative materials and hands-on experiences provide a basis for teaching the concepts and operations of fractions as well as the concepts of measurement and geometry.

Math Course 1

Students in Math Course 1 build a foundation of basic understandings in numbers, operation, and quantitative reasoning, patterns, relationships, and algebraic thinking, geometry and spatial reasoning, measurement, probability and statistics, and problem-solving. The areas of emphasis include using ratios and adding and subtracting decimals and fractions. Students will be given opportunities to use models and manipulative, collect and interpret data, and develop and describe proportional relationships using appropriate technology. The students will translate mathematical ideas from one form to another with emphasis on oral and written communication. An ever broadening development of algebraic form and concepts further the ability to problem-solve. Problem-solving, communication, connections of concepts both within and outside mathematics, and informal and formal reasoning will also be emphasized

Math Course 2

This course continues the study of basic concepts involved in working with whole numbers, fractions, decimals, integers, and percents. Emphasis is given to problem solving, communicating mathematically, reasoning, connections with other disciplines and the real world, patterns and functions, algebra, statistics, probability, and geometry. Students in grade seven mathematics will extend and build upon their foundation of basic understandings of numbers, operation, and quantitative reasoning, patterns, relationships, and algebraic thinking, geometry and spatial reasoning, measurement, probability and statistics, and problem-solving. Areas of emphasis include using proportional relationships and addition, subtraction, multiplication, and division of decimals, fractions, and integers. Students will continue to experience opportunities to use models, manipulative, and data collection and interpretation with appropriate technology. Problem-solving, communication, connections of concepts both within and outside mathematics, and informal and formal reasoning will be emphasized.

Math Course 3

This course continues the study of whole numbers, fractions, decimals, and percents. Math course 3 helps students make the transition from arithmetic to algebra. Students are introduced to integers, solving equations, and the basics of algebra early in the course. Other topics include graphing and probability and statistics. Problem solving, applications, and communication are integrated throughout the course. Students in grade eight mathematics will continue to extend and build upon their foundation of basic understandings of numbers, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry and spatial reasoning; measurement, probability and statistics, and problem-solving. The areas of emphasis are using algebraic principles to analyze proportional relationships and using probability to describe data and make predictions. Students will continue to experience opportunities to use models, manipulative, and data collection and interpretation using appropriate technology. Problem- solving, communication, connections of concepts both within and outside mathematics, and informal and formal reasoning will be emphasized. This course is designed to successfully prepare students for Algebra in 9th grade.

Algebra I

Grade: 9 Credit: 1 Prerequisite: Math Course 3

In this two-semester course, students use algebraic methods to explore, model and describe patterns, relationships and functions. There is a strong emphasis on writing, graphing, and solving linear equations. Students will use data collection and analysis; statistics and probability to make inferences, decisions, and arguments as they solve a variety of practical problems. The depth and breadth of the course will develop a strong foundation for the more theoretical and rigorous experience students will encounter at the Advanced Placement level. Algebra I provides a formal development of the algebraic skills and concepts necessary for students who will take other advanced college-preparatory courses. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course. Topics include: (1) operations with real numbers, (2) linear equations and inequalities, (3) relations and functions, (4) graphing linear equations and inequalities, (5) pairs of linear equations and inequalities, (6) polynomials, (7) algebraic functions, (8) quadratic, cubic, and radical equations, and (9) mathematical reasoning and problem solving.

Geometry

Grade: 10 Credit: 1 Prerequisite: Algebra I

In this course, students use geometric methods, properties and relationships as a means to recognize, draw, describe, connect, and analyze shapes and representations in the physical world. Students will also apply algebraic models and probabilities to physical applications. Students develop powers of spatial visualization while building their understanding of geometric figures. Students develop an understanding of the deductive reasoning method. Through applications and measurements, students use and strengthen their algebra skills. Geometry offers students many opportunities to explore geometric situations, develop conjectures and prove conjectures using a variety of methods. Geometry students examine the properties of two-and three-dimensional objects. Proof and logic, as well as investigative strategies in drawing conclusions, are stressed. Properties and relationships of geometric objects include the study of: (1) points, lines, angles, and planes, (2) polygons, with a special focus on quadrilaterals, triangles, right triangles; (3) circles; and (4) polyhedral and other solids.

Mathematical Models with Applications

Grade: 11 Credit: 1 Prerequisite:Geometry

This is a course for high school students with a minimum prerequisite of Algebra I. This course will reinforce, broaden, and extend the mathematical knowledge and skills acquired in algebra. The course should build on the mathematical background of the students yet stretch their knowledge toward topics studied in Geometry and Algebra II. Students should have the opportunity to reinforce all the TAKS objectives, maintain and extend their algebraic and geometric skills, and find mathematics both useful and enjoyable. The primary purpose of this course is to use mathematics as a tool to model real-world phenomena in science, finance, music, and art including the following basic understandings: In Mathematical Models with Applications, students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, to model information, and to solve problems from various disciplines. Students use mathematical methods to model and solve real-life applied problems involving money, data, chance, patterns, music, design, and science. Students use mathematical models from algebra, geometry, probability, and statistics and connections among these to solve problems from a wide variety of advanced applications in both mathematical and nonmathematical situations. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to link modeling techniques and purely mathematical concepts and to solve applied problems. As they do mathematics, students continually use problem solving, language and communication, and reasoning (justification and proof) top make connections within and outside mathematics. Students also use multiple representations, technology, applications and modeling, and numerical fluency in problem-solving contexts.

Algebra II

Grade: 12 Credit: 1 Prerequisite: Mathematical Models with Applications Students

In this course use algebraic methods to explore, model and describe patterns, relationships and functions involving numbers, shapes, data and graphs within a variety of real-world problem solving situations. They represent problem situations using discrete structures such as finite graphs, matrices, sequences and recurrence relations. This course reviews and builds on those concepts learned in Algebra I and Geometry. It places more emphasis on applying the basic concepts of Algebra to rational numbers and irrational numbers. The course expands techniques in analytical geometry and trigonometry learned in Geometry as a preview of the next two courses offered. Algebra II is a course which extends the content of Algebra I and provides further development of the concept of a function. Topics include: (1) relations, functions, equations, and inequalities; (2) conic sections; (3) polynomials; (4) algebraic functions; (5) logarithmic and exponential functions; (6) sequences and series; and (7) counting principles and probability. Graphing calculator technology is frequently used in this course.

Pre-AP Math Course 2

Grade: 6

This course continues the study of basic concepts involved in working with whole numbers, fractions, decimals, integers, and percents. Emphasis is given to problem solving, communicating mathematically, reasoning, connections with other disciplines and the real world, patterns and functions, algebra, statistics, probability, and geometry. Students in grade seven mathematics will extend and build upon their foundation of basic understandings of numbers, operation, and quantitative reasoning, patterns, relationships, and algebraic thinking, geometry and spatial reasoning, measurement, probability and statistics, and problem-solving. Areas of emphasis include using proportional relationships and addition, subtraction, multiplication, and division of decimals, fractions, and integers. Students will continue to experience opportunities to use models, manipulative, and data collection and interpretation with appropriate technology. Problem-solving, communication, connections of concepts both within and outside mathematics, and informal and formal reasoning will be emphasized.

Pre-AP Math Course 3

Grade: 7

This course continues the study of whole numbers, fractions, decimals, and percents. Math course 3 helps students make the transition from arithmetic to algebra. Students are introduced to integers, solving equations, and the basics of algebra early in the course. Other topics include graphing and probability and statistics. Problem solving, applications, and communication are integrated throughout the course. Students in grade eight mathematics will continue to extend and build upon their foundation of basic understandings of numbers, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry and spatial reasoning; measurement, probability and statistics, and problem-solving. The areas of emphasis are using algebraic principles to analyze proportional relationships and using probability to describe data and make predictions. Students will continue to experience opportunities to use models, manipulative, and data collection and interpretation using appropriate technology. Problem- solving, communication, connections of concepts both within and outside mathematics, and informal and formal reasoning will be emphasized. This course is designed to successfully prepare students for Algebra in 8th grade.

Pre-AP Algebra I

Grade: 8
Credit: 1 Prerequisite: Pre-AP Math Course 3

In this two-semester course, students use algebraic methods to explore, model and describe patterns, relationships and functions. There is a strong emphasis on writing, graphing, and solving linear equations. Students will use data collection and analysis; statistics and probability to make inferences, decisions, and arguments as they solve a variety of practical problems. The depth and breadth of the course will develop a strong foundation for the more theoretical and rigorous experience students will encounter at the Advanced Placement level. Algebra I provides a formal development of the algebraic skills and concepts necessary for students who will take other advanced college-preparatory courses. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course. Topics include: (1) operations with real numbers, (2) linear equations and inequalities, (3) relations and functions, (4) graphing linear equations and inequalities, (5) pairs of linear equations and inequalities, (6) polynomials, (7) algebraic functions, (8) quadratic, cubic, and radical equations, and (9) mathematical reasoning and problem solving.

Pre-AP Geometry

Grade: 9
Credit: 1 Prerequisite: Pre-AP Algebra I

In this course, students use geometric methods, properties and relationships as a means to recognize, draw, describe, connect, and analyze shapes and representations in the physical world. Students will also apply algebraic models and probabilities to physical applications. Students develop powers of spatial visualization while building their understanding of geometric figures. Students develop an understanding of the deductive reasoning method. Through applications and measurements, students use and strengthen their algebra skills. Geometry offers students many opportunities to explore geometric situations, develop conjectures and prove conjectures using a variety of methods. Geometry students examine the properties of two-and three-dimensional objects. Proof and logic, as well as investigative strategies in drawing conclusions, are stressed. Properties and relationships of geometric objects include the study of: (1) points, lines, angles, and planes, (2) polygons, with a special focus on quadrilaterals, triangles, right triangles; (3) circles; and (4) polyhedral and other solids.

Pre-AP Algebra II

Grade: 10
Credit: 1 Prerequisite: Pre-AP Algebra I

Students in this course use algebraic methods to explore, model and describe patterns, relationships and functions involving numbers, shapes, data and graphs within a variety of real-world problem solving situations. They represent problem situations using discrete structures such as finite graphs, matrices, sequences and recurrence relations. This course reviews and builds on those concepts learned in Algebra I and Geometry. It places more emphasis on applying the basic concepts of Algebra to rational numbers and irrational numbers. The course expands techniques in analytical geometry and trigonometry learned in Geometry as a preview of the next two courses offered. Algebra II is a course which extends the content of Algebra I and provides further development of the concept of a function. Topics include: (1) relations, functions, equations, and inequalities; (2) conic sections; (3) polynomials; (4) algebraic functions; (5) logarithmic and exponential functions; (6) sequences and series; and (7) counting principles and probability. Graphing calculator technology is frequently used in this course.

Pre-Calculus

Grade: 11
Credit: 1 Prerequisite: Pre-AP Algebra II

In Pre Calculus, students 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 means for analyzing and understanding a broad variety of mathematical relationships. Students also use functions as well as symbolic reasoning to represent and connect ideas in geometry, probability, statistics, trigonometry, and calculus and to model physical situations. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model functions and equations and solve real-life problems. As they do mathematics, students continually use problem solving, language and communication, and reasoning (justification and proof) to make connections within and outside mathematics. Students also use multiple representations, technology, applications and modeling, and numerical fluency in problem-solving contexts.

AP Statistics

Grade: 10-11-12
Credit: 1 Prerequisite: Pre AP Algebra I, Teacher Recommendation

Students are introduced to major concepts and tools for collecting, analyzing, and drawing conclusions from data. This course prepares students for the College Board AP Statistics Examination for possible college (one-semester, non-calculus based statistics) credit. Students collect, organize, analyze, interpret, and report data using statistical formulas and processes. Students distinguish between random sampling and biased sampling. Students use statistical measures to analyze real-world phenomena. Upon completion of this course students are well prepared and expected to take the Advanced Placement Statistics test which can result in one semester of college credit. Successful Completion of the AP Exam for any AP course will allow for acquisition of college credit upon approval of the college..

For Advanced Placement courses, please access more information on the internet at the web address

http://apcentral.collegeboard.com/course/descriptions

AP Calculus AB

Grade: 11-12
Credit: 1 Prerequisite: Pre AP Algebra II

Teacher Recommendation Students explore functions, graphs, limits, derivatives, and integrals. This course prepares students for the College Board AP Calculus AB Examination for possible college credit (1st semester calculus). For Advanced Placement courses, please access more information on the internet at the web address

http://apcentral.collegeboard.com/course/descriptions

AP Calculus BC

Grade: 11-12
Credit: 1 Prerequisite: Pre AP Algebra II, Teacher Recommendation

Students explore all topics covered in AP Calculus AB plus additional topics including parametric, polar, and vector functions and polynomial approximations and series. This course prepares students for the College Board AP Calculus BC Examination for possible college credit (a full year of calculus). This exam also has a Calculus AB sub-score grade for students to receive 1st semester college calculus credit. For Advance Placement courses, please access more information on the internet at the web address

http://apcentral.collegeboard.com/course/descriptions