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Improve your math skills this summer with online one-to-one instruction! At Futures Academy, our personalized instruction lets you learn in a way that makes the most sense to you, so you get the most out of class time and schoolwork by focusing on what you need to learn, not what you already know.

Whether you’re behind and looking to catch up, or you’re eager to excel to your fullest potential, our experienced teachers and diverse course offerings help students at any level deepen their understanding and open their minds to the wonders math has to offer.

** Over 40 math courses for credit offered
One-to-one, paired & small group learning College prep, workshop, honors & AP-level courses**

UC, CSU & NCAA approved

In-person, online, or hybrid instruction

Remediate or accelerate

Full-time or part-time

Transfer credits back to your home school

6-18 week timeframe

Prevent summer learning loss

Level:

This course will place a strong emphasis on the continued study of integers, order of operations, variables, expressions, and equations. Students will solve and graph equations and inequalities, write and solve proportions, and explore geometry, statistics, and graph concepts.

Level:

This is a course for the first year of algebra. Algebra 1 is a foundational course for the college bound student in which (s)he will learn to reason symbolically. The first semester emphasizes the language of algebra, operating with rational numbers, inequalities, monomials, and polynomials. The second semester emphasizes functions and graphs, lines and slopes, systems of open sentences, radicals, quadratics, and factoring.

Level:

Algebra 2 is a one-year course and requires a grade of “C” or better for admission to the University of California. Algebra 2 provides a review and extension of the concepts taught in Algebra 1. This course studies operations of powers, exponents, radicals, factoring, fractional equations, quadratics, complex numbers and polynomials. The second semester studies exponents, exponential and logarithmic functions, probability, statistics, conic sections and trigonometric functions, and identities.

Level:

Alg 1W is the first semester of a two-year course in Algebra. The first semester emphasizes the language of algebra, operating with rational numbers and inequalities. Alg 1X is the second semester of a two-year course in Algebra. This semester emphasizes monomials, polynomials, and factoring.

Level:

Alg 1Y is the third semester of a two-year course in Algebra. This semester emphasizes functions and graphs, lines and slopes, systems of open sentences, and radicals. Alg 1Z is the fourth semester of a two-year course in Algebra. This semester emphasizes quadratics and rational expressions.

**Course: Geometry****Level:** Workshop, College Prep, Honors **UC a-g Designation:** Mathematics Credits: 10 **Recommended Prerequisite:** Algebra 1

This two-semester course develops methods of logical thinking areas using subject-specific vocabulary and a collection of useful statements about plane figures and relationships between them. All basic geometric content
and many applications are presented – points, lines, distances, angles, and other figures to be applied during mathematical explanations and discussions. The course will overview and develop mathematical skills relating
to the study of geometric concepts including the basic elements of geometry and construction, proofs, parallels and perpendicular lines, ratios and proportions, the coordinate plane, triangles, quadrilaterals, polygons, circles,
trigonometry, congruence and similarity, surface area, volume and transformations.

Level:

Geometry W is the first semester of a two-year course in Geometry. The first semester covers basic constructions, properties of lines and triangles, reflections, rotations and translations. Geometry X is the second semester of the course where students will work on triangle congruence, bisectors and polygon angle-sum theorems.

Level:

Geometry Y and Z are the third and fourth semesters of this 2-year course. In Geometry Y, students will work on proving similarity in triangles, the right triangle and Pythagorean Theorem and begin the study of coordinate geometry. Geometry Z covers arc and sectors, tangent lines within circles, volume in cylinders and prisms, and probability as permutations.

Level:

The focus of the course will be on problem solving using mathematical models to represent real world situations. Students will build upon and further explore expressions, equations and functions learned in earlier math courses to develop patterns, make or test conjectures and try multiple representations. Students will also learn about inverse functions and how restricting the domain of a function that is not always increasing or decreasing allows its inverse to be constructed. Students are introduced to vectors in the complex plane and gain fluency transferring between rectangular and polar forms. Students will explore the properties of matrices as they apply matrix operations to solve systems of equations and gain the understanding of how matrices help solve real world problems quickly and algorithmically. Students will apply their knowledge of trigonometry as they explore the unit circle and model periodic phenomena with trigonometric functions. Students will solve the real-world problems involving the Laws of sines and cosines. Students will derive equations for conic sections from the definition of foci and by completing the square.

Level:

This college preparatory course examines derivatives, the chain rule, derivatives of trigonometric functions, applications of derivatives (concavity, points of inflection, maxima and minima) definite and indefinite integrals, application of definite integrals, transcendental functions, and methods of integration. The second semester examines conic sections and other plane curves, parametric equations for conics, hyperbolic functions, inverse hyperbolic functions, polar equations of conic sections and other curves, integrals in polar coordinates, infinite sequences and infinite series, power series and taylor polynomials, vectors, vector functions and motion, and differential equations – first order, second order and higher order equations.

**Course: Probability & Statistics****Level: ** Workshop, College Prep**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:**
Algebra 2

This college preparatory course provides a solid background in descriptive statistics, probability, random variables, and discrete and continuous distributions. In this course, students will summarize, represent, and interpret data on a measurement variable as well as quantitative variables. Additionally, students will interpret linear models, understand and evaluate random processes underlying statistical experiments, make inferences and justify conclusions. Students will understand independence and conditional probability as well as use rules of probability to evaluate outcomes of decisions.

**Level: ** Workshop, College Prep**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Geometry

This college preparatory course examines linear, circular, trigonometric, and logarithmic functions; matrices, vectors, and linear systems; and trigonometric formulas, graphs, inverses, and their applications. The second semester examines polar coordinates; sequences and series with introduction of limits; graphs of lines and conics; probability and descriptive statistics.

**Level: ** Workshop, College Prep**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Geometry

This one semester, college preparatory course examines trigonometric functions, inverse trigonometric functions, analytic trigonometry, graphing of functions, and the Law of Sines and Cosines. This course enables students to understand trigonometric principles and to be able to apply them in various fields of mathematics. Additional topics for this course include a study of functions of angles of any size, the solution of triangles, and the use of various trigonometric formulas and identities such as the Pythagorean identities as well as the half and double angle identities. The math elective supports college/career readiness and provides additional support and preparation for advanced, honors and/or AP course level mathematics.

**Level: ** Workshop, College Prep**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Algebra 2

This one semester, college preparatory course examines all standard topics in statistics through two-way analysis of variance. Concentration is on the basic concepts with secondary emphasis on their application. Students will also interpret linear models, understand and evaluate random processes underlying statistical experiments, make inferences and justify conclusions. They will begin to develop an understanding of independence and conditional probability and use statistical data to evaluate situations and decisions.

**Course: 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 Theorem of Calculus. You’ll learn how to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and how to make connections amongst these representations. You will learn how to use technology to help solve problems, experiment, interpret results, and support conclusions situations and decisions.

**Level: ** AP**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Calculus AB

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 Theorem 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.

**Level: ** AP**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Algebra 2

**Course: Integrated Math 1****Level: ** Workshop, College Prep, Honors **UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:**
Pre-Algebra

**Level: ** Workshop, College Prep, Honors **UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Integrated
Math 1

The fundamental purpose of the Model Mathematics II course is to formalize and extend the mathematics that students learned in the middle grades in addition to early high school math courses. This course is comprised of standards selected from the high school conceptual categories, which were written to encompass the scope of content and skills to be addressed throughout grades 9–12 rather than through any single course. As such, this college preparatory course examines integrated mathematics, which includes concepts from algebra, geometry, logic, probability, statistics and is an extension of Integrated Mathematics I. This course is an approximate equivalent to an Algebra 2 with trigonometry course.

The fundamental purpose of the Model Mathematics III course is to formalize and extend the mathematics that students learned in the earlier high school courses. This course is comprised of standards selected from the high school conceptual categories, which were written to encompass the scope of content and skills to be addressed throughout grades 9–12 rather than through any single course. As such, this college preparatory course examines integrated mathematics, which includes concepts from algebra, geometry, logic, probability, statistics, and pre-calculus. For the high school Model Mathematics III course, instructional time should focus on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems.

**Level: ** Workshop, College Prep**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Pre-Algebra

Business Mathematics is a two-semester course of which students learn to use mathematics effectively as a tool in their personal and business lives. After students have completed this course, they will be able to apply mathematical concepts in various personal and business situations. This course may be used to meet the mathematics requirements for graduation.

**Level: ** Workshop, College Prep**UC a-g Designation: ** Mathematics**Credits: ** 10**Recommended Prerequisite:** Algebra 2

This course is designed to prepare students for further study of mathematics at the college level. All standard Math Analysis/Pre-calculus topics will be presented. Integration of technology, such as the use and programming of graphing calculators, throughout the units will prepare students for participation in a technological society. In-depth study of such topics as the family of functions (e.g. polynomial, rational, exponential, logarithmic, and trigonometric), limits, derivatives, vectors, matrices, sequences, and series will be undertaken.

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