## Courses

### Integrated Math 1

Grade: 9 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: None

Course Description: Integrated Mathematics 1 is the first of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics have been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 1 deepens and extends understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Integrated Mathematics 1 uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. Units within the course include standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability and present them in an interconnected and coherent sequence. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: None

Course Description: Integrated Mathematics 1 is the first of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics have been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 1 deepens and extends understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Integrated Mathematics 1 uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. Units within the course include standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability and present them in an interconnected and coherent sequence. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

### Integrated Math 2

Grade: 9 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

C/CSU a‐g: C: Mathematics

Prerequisite: Integrated Math 1

Course Description: Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics have been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 2 focuses on quadratic expressions, equations and functions, and on comparing the characteristics and behavior of these expressions, equations, and functions to those of linear and exponential relationships from Mathematics I. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of real world problem situations.

Integrated Math 2 Honors

Course Description: Honors Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends mathematics to prepare students for Advanced Placement courses after Honors Integrated Math 3.

Duration: Year (10 credits)

HS Grad Req: Math

C/CSU a‐g: C: Mathematics

Prerequisite: Integrated Math 1

Course Description: Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics have been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 2 focuses on quadratic expressions, equations and functions, and on comparing the characteristics and behavior of these expressions, equations, and functions to those of linear and exponential relationships from Mathematics I. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of real world problem situations.

Integrated Math 2 Honors

Course Description: Honors Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends mathematics to prepare students for Advanced Placement courses after Honors Integrated Math 3.

### Integrated Math 3

This is a one-year college-prep course in advanced Algebra. This course is open to grades 9-12 with successful completion of IM2. Credits: 5 per semester

This course expands on the mathematical content of Algebra I and Geometry. Many new concepts and techniques are introduced that will be basic to more advanced courses in mathematics and sciences. In general terms, the emphasis is on abstract thinking, the “function concept”, and the algebraic solution of problems in various content areas. Specific content includes further study of absolute value equations and inequalities, complex numbers, polynomials and rational expressions, the quadratic function, logarithms, arithmetic and geometric series and binomial theorem.

This course expands on the mathematical content of Algebra I and Geometry. Many new concepts and techniques are introduced that will be basic to more advanced courses in mathematics and sciences. In general terms, the emphasis is on abstract thinking, the “function concept”, and the algebraic solution of problems in various content areas. Specific content includes further study of absolute value equations and inequalities, complex numbers, polynomials and rational expressions, the quadratic function, logarithms, arithmetic and geometric series and binomial theorem.

### Statistics

This is a one-year college-prep course in basic statistics. This course is open to grades 10-12 and may be taken concurrently with another math course. Successful completion of IntMath 3 is a prerequisite. Credits: 5 per semester

Grade: 9 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Algebra 2

Course Description: Students will learn about the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will develop analytical and critical thinking skills as you learn to describe data patterns and departures from patterns, plan and conduct studies, use probability and simulation to explore random phenomena, estimate population parameters, test hypotheses, and make statistical inferences. Related applications to psychology, social science, natural science, business, and engineering will be explored.

Grade: 9 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Algebra 2

Course Description: Students will learn about the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will develop analytical and critical thinking skills as you learn to describe data patterns and departures from patterns, plan and conduct studies, use probability and simulation to explore random phenomena, estimate population parameters, test hypotheses, and make statistical inferences. Related applications to psychology, social science, natural science, business, and engineering will be explored.

### Pre Calculus

This is a one-year college-prep course open to grades 10-12. Successful completion of Algebra 2 is a prerequisite. Credits: 5 per semester

The course combines many of the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus and other advanced courses. The course brings a measure of closure to some topics first brought up in earlier courses, such as Algebra II. The functional viewpoint is emphasized in this course. Key concepts include mathematical induction, the roots of polynomials, conic sections and limits. The trigonometry involves using the techniques previously learned from the study of algebra and geometry. Facility with trigonometric functions as well as the ability to prove basic identities regarding them is especially important.

The course combines many of the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus and other advanced courses. The course brings a measure of closure to some topics first brought up in earlier courses, such as Algebra II. The functional viewpoint is emphasized in this course. Key concepts include mathematical induction, the roots of polynomials, conic sections and limits. The trigonometry involves using the techniques previously learned from the study of algebra and geometry. Facility with trigonometric functions as well as the ability to prove basic identities regarding them is especially important.

### AP Calculus

AP Calculus AB

Grade: 11 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Pre‐Calculus

Course Description: Students will explore the key concepts, methods, and applications of single‐ variable calculus including functions, graphs, limits, derivatives, integrals, and the Fundamental Theorem of Calculus. Students will become familiar with concepts, results, and problems expressed in multiple ways including graphically, numerically, analytically, and verbally. The use of technology will help students solve problems, experiment, interpret results, and support conclusions. The course prepares students to take the Advanced Placement Calculus AB examination.

AP Calculus BC

Grade: 11 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Pre‐Calculus

Course Description: Students will explore the key concepts, methods, and applications of single‐variable calculus including all topics covered in AP Calculus AB (functions, graphs, limits, derivatives, integrals, and the Fundamental Theorem of Calculus) as well as additional topics in differential and integral calculus, such as parametric, polar and vector functions, and series. Students will become familiar with concepts, results, and problems expressed in multiple ways including graphically, numerically, analytically, and verbally. The use of technology will help students solve problems, experiment, interpret results, and support your conclusions. The course prepares students to take the Advanced Placement Calculus BC examination.

Grade: 11 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Pre‐Calculus

Course Description: Students will explore the key concepts, methods, and applications of single‐ variable calculus including functions, graphs, limits, derivatives, integrals, and the Fundamental Theorem of Calculus. Students will become familiar with concepts, results, and problems expressed in multiple ways including graphically, numerically, analytically, and verbally. The use of technology will help students solve problems, experiment, interpret results, and support conclusions. The course prepares students to take the Advanced Placement Calculus AB examination.

AP Calculus BC

Grade: 11 ‐ 12

Duration: Year (10 credits)

HS Grad Req: Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Pre‐Calculus

Course Description: Students will explore the key concepts, methods, and applications of single‐variable calculus including all topics covered in AP Calculus AB (functions, graphs, limits, derivatives, integrals, and the Fundamental Theorem of Calculus) as well as additional topics in differential and integral calculus, such as parametric, polar and vector functions, and series. Students will become familiar with concepts, results, and problems expressed in multiple ways including graphically, numerically, analytically, and verbally. The use of technology will help students solve problems, experiment, interpret results, and support your conclusions. The course prepares students to take the Advanced Placement Calculus BC examination.

### Financial Algebra

Advanced Algebra with Financial Applications

Grade: 12

Duration: Year (10 credits)

HS Grad Req: Alg/Integrated Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Algebra 1/ Integrated Math 1

Course Description: This course employs math concepts to solve financial problems that occur in everyday life. Real‐world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting, and planning for retirement are solved by applying the relevant mathematics.

Advanced Algebra with Financial Applications offers students an opportunity to view the world of finance through a mathematical lens. The mathematical formulas, functions, and pictorial representations used assist students in making sense of the financial world around them and equips them with the ability to make sound financial decisions. This course builds strength in reasoning and number sense, because the real-world applications demand that solutions make sense.

Grade: 12

Duration: Year (10 credits)

HS Grad Req: Alg/Integrated Math

UC/CSU a‐g: C: Mathematics

Prerequisite: Algebra 1/ Integrated Math 1

Course Description: This course employs math concepts to solve financial problems that occur in everyday life. Real‐world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting, and planning for retirement are solved by applying the relevant mathematics.

Advanced Algebra with Financial Applications offers students an opportunity to view the world of finance through a mathematical lens. The mathematical formulas, functions, and pictorial representations used assist students in making sense of the financial world around them and equips them with the ability to make sound financial decisions. This course builds strength in reasoning and number sense, because the real-world applications demand that solutions make sense.