Buchanan High School

Math 1

For the high school Math 1 course, instructional time should focus on six critical areas: 1) extend understanding of numerical manipulation to algebraic manipulation; 2) synthesize understanding of function; 3) deepen and extend understanding of linear relationships; 4) apply linear models to data that exhibit a linear trend; 5) establish criteria for congruence based on rigid motions; and 6) apply the Pythagorean Theorem to the coordinate plane.

Math 2

For the high school Honors Math 2 course, instructional time will focus on five critical areas: 1) extend the laws of exponents to rational exponents; 2) compare key characteristics of quadratic functions with those of linear and exponential functions; 3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; 4) extend work with probability; and 5) establish criteria for similarity of triangles based on dilations and proportional reasoning. This course includes trigonometry and other addition standards to prepare students for a Calculus Course after Math 3 Honors.

Honors Math 2

For the high school Honors Math 2 course, instructional time will focus on five critical areas: 1) extend the laws of exponents to rational exponents; 2) compare key characteristics of quadratic functions with those of linear and exponential functions; 3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; 4) extend work with probability; and 5) establish criteria for similarity of triangles based on dilations and proportional reasoning. This course includes trigonometry and other addition standards to prepare students for a Calculus Course after Math 3 Honors.

Math Tutorial

This course is designed to provide targeted instruction to struggling students concurrently enrolled in a mathematics course required for high school graduation. This course does not count toward Mathematics graduation requirements.

Math 1

For the high school Math 1 course, instructional time should focus on six critical areas: 1) extend understanding of numerical manipulation to algebraic manipulation; 2) synthesize understanding of function; 3) deepen and extend understanding of linear relationships; 4) apply linear models to data that exhibit a linear trend; 5) establish criteria for congruence based on rigid motions; and 6) apply the Pythagorean Theorem to the coordinate plane.

Math 2

For the high school Math 2 course, instructional time will focus on five critical areas: 1) extend the laws of exponents to rational exponents; 2) compare key characteristics of quadratic functions with those of linear and exponential functions; 3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; 4) extend work with probability; and 5) establish criteria for similarity of triangles based on dilations and proportional reasoning.

Math 3

For the high school Math 3 course, instructional time will focus on the five key areas: 1) deepen and extend understanding of the use of statistics with identifying different ways of collecting data and the conclusions that can be drawn; 2) apply operations to polynomial functions; 3) solve polynomial, rational, radical and trigonometric functions algebraically and graphically; 4) extend work with function families and the effects of transformations on them; and 5) model and solve real world problems that require the use of polynomial, rational, radical and trigonometric functions.

Honors Math 2

For the high school Honors Math 2 course, instructional time will focus on five critical areas: 1) extend the laws of exponents to rational exponents; 2) compare key characteristics of quadratic functions with those of linear and exponential functions; 3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; 4) extend work with probability; and 5) establish criteria for similarity of triangles based on dilations and proportional reasoning. This course includes trigonometry and other addition standards to prepare students for a Calculus Course after Math 3 Honors.

Honors Math 3

For the high school Honors Math 3 course, instructional time will focus on the five key areas: 1) deepen and extend understanding of the use of statistics with identifying different ways of collecting data and the conclusions that can be drawn; 2) apply operations to polynomial functions; 3) solve polynomial, rational, radical and trigonometric functions algebraically and graphically 4) extend work with function families and the effects of transformations on them; and 5) model and solve real world problems that require the use of polynomial, rational, radical and trigonometric functions. The course includes the additional standards required to fully prepare students for a Calculus course after Honors Math 3.

Advanced Math

Advanced Mathematics AB (P) provides a formal study of trigonometry and exposure to selected topics which provide a foundation for the first course in calculus. Scientific calculators will be used extensively. Topics include: trigonometry, logarithms, functions, and limits.

AP Statistics

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.

Math 1

For the high school Math 1 course, instructional time should focus on six critical areas: 1) extend understanding of numerical manipulation to algebraic manipulation; 2) synthesize understanding of function; 3) deepen and extend understanding of linear relationships; 4) apply linear models to data that exhibit a linear trend; 5) establish criteria for congruence based on rigid motions; and 6) apply the Pythagorean Theorem to the coordinate plane.

Math 2

For the high school Math 2 course, instructional time will focus on five critical areas: 1) extend the laws of exponents to rational exponents; 2) compare key characteristics of quadratic functions with those of linear and exponential functions; 3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; 4) extend work with probability; and 5) establish criteria for similarity of triangles based on dilations and proportional reasoning.

Math 3

For the high school Math 3 course, instructional time will focus on the five key areas: 1) deepen and extend understanding of the use of statistics with identifying different ways of collecting data and the conclusions that can be drawn; 2) apply operations to polynomial functions; 3) solve polynomial, rational, radical and trigonometric functions algebraically and graphically; 4) extend work with function families and the effects of transformations on them; and 5) model and solve real world problems that require the use of polynomial, rational, radical and trigonometric functions.

Foundations of Math 2

This course is designed for students who desire to learn the basic concepts of Math 2.

Foundations of Math 3

Foundations of Math 3 is a preparatory course designed to help students master the skills necessary for success in Math 3 AB (P). This course will cover graphing functions, solving equations, solving inequalities, rational functions, radical functions, an introduction to statistics, and trigonometry. This course will prepare students for the eleventh grade California Assessment of Student Performance and Progress and the state college placement exam.

Honors Math 3

For the high school Honors Math 3 course, instructional time will focus on the five key areas: 1) deepen and extend understanding of the use of statistics with identifying different ways of collecting data and the conclusions that can be drawn; 2) apply operations to polynomial functions; 3) solve polynomial, rational, radical and trigonometric functions algebraically and graphically 4) extend work with function families and the effects of transformations on them; and 5) model and solve real world problems that require the use of polynomial, rational, radical and trigonometric functions. The course includes the additional standards required to fully prepare students for a Calculus course after Honors Math 3.

Statistics and Probability

Statistics and Probability AB provides college bound students with an introduction to the essential basics of statistical analysis and the theory of probability. This course will include applications to the fields of social science, psychology, education, business and medicine. Topics include: descriptive statistics, measures of central tendency and dispersion, correlation and regression analysis, probabilities of compound events, normal distribution

Advanced Math

Advanced Mathematics AB (P) provides a formal study of trigonometry and exposure to selected topics which provide a foundation for the first course in calculus. Scientific calculators will be used extensively. Topics include: trigonometry, logarithms, functions, and limits.

Financial Math

Financial Mathematics is a full-year project-based course that teaches students math literacy skills. Students apply basic Math skills (adding, subtracting, multiplying, dividing, fractions, and percent) and problem-solving strategies plus algebra concepts to real life scenarios, including checking and savings accounts, charge accounts, taxes. credit cards, loans, housing costs, and automobile costs. In addition, students will apply mathematical concepts and skills in the following areas: purchasing, sales, marketing, accounting, records, and financial management.

AP Statistics

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.

AP Calculus AB

AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorems of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.

AP Calculus BC

AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorems of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.

Math Lab

Math Lab AB provides an individualized format to support students toward meeting the mathematics graduation requirement. Students work on a continuous progress basis with a personal contract. This course does not count toward Mathematics graduation requirements.

Math 1

For the high school Math 1 course, instructional time should focus on six critical areas: 1) extend understanding of numerical manipulation to algebraic manipulation; 2) synthesize understanding of function; 3) deepen and extend understanding of linear relationships; 4) apply linear models to data that exhibit a linear trend; 5) establish criteria for congruence based on rigid motions; and 6) apply the Pythagorean Theorem to the coordinate plane.

Math 2

For the high school Math 2 course, instructional time will focus on five critical areas: 1) extend the laws of exponents to rational exponents; 2) compare key characteristics of quadratic functions with those of linear and exponential functions; 3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; 4) extend work with probability; and 5) establish criteria for similarity of triangles based on dilations and proportional reasoning.

Math 3

For the high school Math 3 course, instructional time will focus on the five key areas: 1) deepen and extend understanding of the use of statistics with identifying different ways of collecting data and the conclusions that can be drawn; 2) apply operations to polynomial functions; 3) solve polynomial, rational, radical and trigonometric functions algebraically and graphically; 4) extend work with function families and the effects of transformations on them; and 5) model and solve real world problems that require the use of polynomial, rational, radical and trigonometric functions.

Foundations of Math 2

This course is designed for students who desire to learn the basic concepts of Math 2.

Foundations of Math 3

Foundations of Math 3 is a preparatory course designed to help students master the skills necessary for success in Math 3 AB (P). This course will cover graphing functions, solving equations, solving inequalities, rational functions, radical functions, an introduction to statistics, and trigonometry. This course will prepare students for the eleventh grade California Assessment of Student Performance and Progress and the state college placement exam.

Honors Math 3

For the high school Honors Math 3 course, instructional time will focus on the five key areas: 1) deepen and extend understanding of the use of statistics with identifying different ways of collecting data and the conclusions that can be drawn; 2) apply operations to polynomial functions; 3) solve polynomial, rational, radical and trigonometric functions algebraically and graphically 4) extend work with function families and the effects of transformations on them; and 5) model and solve real world problems that require the use of polynomial, rational, radical and trigonometric functions. The course includes the additional standards required to fully prepare students for a Calculus course after Honors Math 3.

Statistics and Probability

Statistics and Probability AB provides college bound students with an introduction to the essential basics of statistical analysis and the theory of probability. This course will include applications to the fields of social science, psychology, education, business and medicine. Topics include: descriptive statistics, measures of central tendency and dispersion, correlation and regression analysis, probabilities of compound events, normal distribution

Advanced Math

Advanced Mathematics AB (P) provides a formal study of trigonometry and exposure to selected topics which provide a foundation for the first course in calculus. Scientific calculators will be used extensively. Topics include: trigonometry, logarithms, functions, and limits.

Financial Math

Financial Mathematics is a full-year project-based course that teaches students math literacy skills. Students apply basic Math skills (adding, subtracting, multiplying, dividing, fractions, and percent) and problem-solving strategies plus algebra concepts to real life scenarios, including checking and savings accounts, charge accounts, taxes. credit cards, loans, housing costs, and automobile costs. In addition, students will apply mathematical concepts and skills in the following areas: purchasing, sales, marketing, accounting, records, and financial management.

AP Statistics

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.

AP Calculus AB

AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorems of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.

AP Calculus BC

AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorems of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.

Math Lab

Math Lab AB provides an individualized format to support students toward meeting the mathematics graduation requirement. Students work on a continuous progress basis with a personal contract. This course does not count toward Mathematics graduation requirements.