# Mathematics

#### Chris Guinon

Teacher

cguinon@beniciaunified.org

#### Lee Anne Aidt

Teacher

laidt@beniciaunified.org

#### Barbara Aragon

Teacher

baragon@beniciaunified.org

**PRE – INTEGRATED MATHEMATICS 1
**This is a full year Pre-Algebra course. It is intended to build a foundation to prepare students for Integrated Mathematics 1 and more advanced mathematics, and to bring under-performing students to grade level. Major topics to be covered: 1) Collecting and Interpreting Data, 2) Integer Operations, 3) Probability and Fractions, 4) Algebraic Sentences, 5) Solving and Graphing Equations, 6) Ratios and Proportions, 7) Fractions, Percent and Formulas, 8) Pythagorean Theorem, 9) Surface Area and Volume of Solids, 10) Exponents, 11) Scientific Notation, 12) Algebraic Properties and 13) Constructions of Geometric Figures.

**INTEGRATED MATHEMATICS 1
**Integrated Math 1 is the first of a three-course sequence including Integrated Math 1, 2, and 3. This one year long course satisfies the Common Core Standards for Integrated Math 1. It strengthens and builds on students’ previous knowledge in pre-algebra courses or Math Readiness courses. It focuses on the pattern growth of functions including linear and exponential functions, transformational geometry, coordinate geometry, solving equations and inequalities, descriptive statistics, geometric congruence, and geometric constructions. Good study habits and critical thinking skills are essential for success. Successful completion of this course is required for high school graduation.

**INTEGRATED MATHEMATICS 1, Support**:

*Prerequisites: Completion of Course 8 or Pre-Integrated Math 1 with a 70% or above, a teacher recommendation and a score of 3 or higher on a classroom behavior/study matrix.*

Support for Integrated Math 1 is a full year course for the student who is identified as needing support to be successful in Integrated Math 1, and who has good study habits, good attendance, and who shows a desire to learn. This course will support instruction of their core class through the use of manipulatives, concept development, skills practice and vocabulary building. The student and parent will sign a contract to maintain behavior, work-ethic and performance.

**RESOURCE MATH A/B- ALGEBRA READINESS **

This course covers prerequisite skills for RESOURCE MATH C/D Algebra Concepts. This class will be modified and accommodated to meet the individual needs of the students. *This class is only available by recommendation of the student’s IEP team. This class does not meet the UC/CSU “a-g” requirements.*

**RESOURCE MATH C/D – ALGEBRA CONCEPTS **

Math C meets the first half of the high school Algebra 1 graduation requirement. Math D meets the second half of the high school Algebra 1 graduation requirement. Placement in Math C or D is by recommendation of the Resource Math teachers. It does **NOT** meet the prerequisite for enrollment in college prep Geometry. This class will be modified and accommodated to meet the individual needs of the students. *This class is only available by recommendation of the student’s IEP team. This class does not meet the UC/CSU “a-g” requirements.*

Grades: 9, 10 ** **Year

**MATHEMATICS of PERSONAL FINANCE
**

*Prerequisite: C or better in Integrated Math 1*

* *Students will learn how to manage their personal finances through a study of financial management as seen through the lenses of mathematical modeling, reasoning and problem solving. The course will dive into each of the National Standards for Financial Literacy such as: earning income from careers and investments including an analysis of the value of education and skills as well as career exploration, buying goods and services with that income, including planning and budgeting via the use of spreadsheet modeling. Students will also learn about saving money with an analysis of the factors affecting the present and future value of your savings, investing in financial assets like stocks, bonds, funds, real estate, commodities, including risk vs return analysis and use of diversification, using credit wisely including analysis of the relationship between risk and interest rates, and protecting and insuring your assets.

**INTEGRATED MATH 2
**

*Prerequisite: C or better in Integrated Math 1*

Integrated Math 2 is the second of a three-course sequence including Integrated Math 1,2,3. The one year long course satisfies the Common Core standards for Integrated Math 2. It focuses on Geometry topics of proof, similarity, right triangle trigonometry, quadrilaterals, polygons, circles, solids and conditional probability. Topics from Algebra include quadratics, functions and probability. Good study habits and critical thinking skills are essential for success.

**INTEGRATED MATHEMATICS 2, Support**:

*Prerequisites: Completed Integrated Math 1 with a 70% or above, a teacher recommendation and a score of 3 or higher on a classroom behavior/study matrix.*

Support for Integrated Math 2 is a full year course for the student who is identified as needing support to be successful in Integrated Math 2, and who has good study habits, good attendance, and who shows a desire to learn. This course will support instruction of their core class through the use of manipulatives, concept development, skills practice and vocabulary building. The student and parent will sign a contract to maintain behavior, work-ethic and performance.

**INTEGRATED MATH 3
**

*Prerequisite: C or better in Integrated Math 2*

Integrated Math 3 is the 3^{rd} of a three-course sequence including Integrated Math 1,2 and 3. This is a one year long advanced course for college preparatory students and satisfies the common core standards for Integrated Math 3. It strengthens and builds on students’ previous knowledge in Integrated Math 1 and 2 courses. It focuses on parent graphs; inequalities; functions including polynomial; exponential, logarithmic, rational and radical; triangle trigonometry and the unit circle; probability and statistics (deviations and normal curves); rational expressions; conic sections; complex numbers; sequences and series. A strong background along with diligent work habits and critical thinking skills are essential for success. Graphing calculators are recommended. Successful completion of this course is the pre-requisite to enrollment in the courses Trig/Statistics, AP Statistics, or Pre- Calculus.

**HONORS INTEGRATED MATHEMATICS 3
**

*Prerequisite: Completed Integrated Math 2 with a 90% or above and a teacher recommendation based on strong skills, excellent work habits, above average performance on the interim caaspp exams and a minimum score on placement exam (given in May prior to enrollment). A portfolio of work may be examined and the candidate may be interviewed by a committee prior to enrollment.*

* *This course is for the student passionate about mathematics. The student must be self-directed and have an innate desire to explore the concepts that lead to a deeper understanding of mathematics. This fast paced course will not include review of prior math skills. It focuses on parent graphs; inequalities; functions including polynomial; exponential, logarithmic, rational and radical; triangle trigonometry and the unit circle; probability and statistics (deviations and normal curves); rational expressions; conic sections; complex numbers; sequences and series. A summer review packet will be available to enhance skills to be tested during the first week of school and will account for 10% of fall semester grade. Graphing calculator is required. Successful completion of this course is the pre-requisite to enrollment in the courses Trig/Statistics, AP Statistics, Pre-Calculus. An “A” is requirement for enrollment in Pre-Calculus Honors.

**TRIGONOMETRY and STATISTICS
**

*Prerequisite: Completion of Integrated Math 3 with a C or better*

The study of trigonometric functions defined geometrically along with the ability to prove basic identities give students important background for calculus, physics, engineering and advanced math and science classes at the college level. Mastery of Statistics will provide students with a solid foundation in probability and in processing statistical information. A graphing calculator is recommended.

**PRE-CALCULUS
**

*Prerequisite: C or better in Integrated Math 3 and teacher recommendation*

This course is for the serious math student who has an __excellent__ algebra and geometry background. This course is a preparation for calculus. Continuing use of technology to foster problem solving is explored. A graphing calculator is recommended.

**PRE-CALCULUS HONORS
**

*Prerequisite: Teacher recommendation based on outstanding Integrated Math 3 skills, excellent study and work habits, above average performance on the interim caaspp exams, and a minimum score on placement exam (given in May prior to enrollment). A portfolio of work may be examined and the candidate interviewed by a committee prior to enrollment.*

This college level course is for the student passionate about mathematics. He/she must be self-directed and have an innate desire to explore concepts that lead to a deeper understanding of mathematics. This fast-paced course has a summer assignment (10% of the 1^{st} semester grade) due on the first day of fall class. The 2^{nd} semester will cover Calculus content (and the student may choose to take the AP Calc A/B exam) and prepare the student for AP Calculus B/C in their senior year.

**AP STATISTICS
**Prerequisite: Successful completion of Algebra 2 with a 74% (C) or better.

The purpose of the AP course in statistics 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: Describing patterns and departures from patterns
- Sampling and Experimentation: Planning and conducting a study
- Anticipating Patterns: Exploring random phenomena using probability and simulation
- Statistical Inference: Estimating population parameters and testing hypotheses. Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester introductory college statistics course.

**AP CALCULUS A/B
**

*Prerequisite: Teacher recommendation based on outstanding Pre-Calculus skills, excellent study and work habits*

This is a college Calculus course designed to prepare students to take the national AP Calculus A/B exam in May, where college credits may be earned for qualifying scores. A summer assignment (10% of the 1^{st} semester grade) is due on the first day of fall class. **Summer project required.**

**AP CALCULUS B/C
**

*Prerequisite: C or better in AP Calculus A/B or Pre-Calculus Honors*

This college course is designed to cover all the topics on the Advanced Placement Calculus B/C exam, where students have the chance to earn up to one semester of college credit in Calculus. A graphing calculator is recommended. Students in this honors level course earn extra grade points for the UC system. **Summer project required.**

Grades: 12 Year UC/CSU – c