# Math ## MATH

• CCSS ALGEBRA I
• CCSS ALGEBRA II
• CCSS GEOMETRY
• ALGEBRA II/PRE-CALCULUS COMPRESSION
• AP CALCULUS
• AP STATISTICS

ALGEBRA I

DESCRIPTION Instructional time should focus on four critical areas: 1) deepen and extend understanding of linear and exponential relationships; 2) contrast linear and exponential relationships with each other and engage in methods for analyzing, solving and using quadratic fractions; 3) extend the laws of exponents to square and cube roots; 4) apply the linear models to data that exhibits a linear trend.

ALGEBRA II

PREREQUISITES Freshman students must have a C or better in Algebra I;  required scores on the SFUSD end-of-year proficiency test.

DESCRIPTION The coursework begins with a review of elementary techniques and concepts and quickly moves into graphing functions with an emphasis on range and domain. Linearity, including linear systems, are studied in depth, concluding with applications and modeling, and followed by quadratic functions which include graphing, root computations, imaginary numbers and modeling. By the second semester, the content shifts to exponents and logarithms, again solidifying the ideas through modeling, in this case using exponential and logarithmic functions. The next topics are: rational expressions with an emphasis on factoring; radicals, which includes simplification, rationalization, and extraneous solutions; and conic sections, higher degree functions, arithmetic and geometric sequences and series. and probabilities and statistics.

GEOMETRY

PREREQUISITE Algebra I, Algebra II

DESCRIPTION Topics include: sets, real numbers, lines, planes, angles, triangles, congruence, proofs, geometric inequalities, perpendicular lines and planes in space, parallel lines and planes, polygonal regions and their areas, similarity, plane coordinate geometry, circles, spheres, sectors, trigonometry, symmetry, transformations, and solids. Emphasis will be on developing theoretical and analytical thinking skills, and curriculum will be based on Common Core Standards. Click here for ADDITIONAL NOTES.

ALGEBRA II/PRE-CALCULUS COMPRESSION

PREREQUISITE  Algebra I and Geometry

DESCRIPTION  This course combines Algegra I and Pre-Calculus and is a fast-paced course to prepare students for AP calculus.

AP CALCULUS

PREREQUISITES Students must successfully complete Algebra I, Geometry, Algebra II/Pre-Calculus with a grade of C or better.

DESCRIPTION This AP calculus AB course is equivalent to a college semester of calculus and will cover topics such as limits and continuity, derivatives, applications of the derivative, rate of change, Mean Value Theorem, Riemann sums, average value, integration, applications of integration, Fundamental Theorem of Calculus, slope fields, applications of anti-differentiation and separable differential equations. Students are expected to take the AP exam at the end of this course.

AP STATISTICS

PREREQUISITES  Students must successfully complete and pass Algebra I, Geometry, Algebra II or Algebra II/Pre-Calculus

DESCRIPTION  AP Statistics is the high school equivalent of an introductory college statistics course.  The first semester concentrates on exploring data, both graphically and numerically; sampling and experimentation; probability and random variables; and sampling distributions.  The second semester concentrates on statistical interference, including confidence intervals and hypothesis testing.  Inference will primarily involve sample means and sample proportions although tests involving the chi-square statistic and the linear regression model will be studied.  Students make use of the statistics functions on the TI-84 Plus graphing calculator.  Students are expected to take the AP exam at the end of this course.