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Curriculum: Mathematics
| Complete Course Selection Guide 
Students understand small numbers, quantities, and simple shapes in their everyday environment. They count, compare, describe and sort objects, and develop a sense of properties and patterns.
Students understand and use the concept of ones and tens in the place value number system. Students add and subtract small numbers with ease. They measure with simple units and locate objects in space. They describe data and analyze and solve simple problems.
Students understand place value and number relationships in addition and subtraction, and they use simple concepts of multiplication. They measure quantities with appropriate units. They classify shapes and see relationships among them by paying attention to their geometric attributes. They collect and analyze data and verify the answers.
Students deepen their understanding of place value and their understanding of and skill with addition, subtraction, multiplication, and division of whole numbers. Students estimate, measure, and describe objects in space. They use patterns to help solve problems. They represent number relationships and conduct simple probability experiments.
Students understand large numbers and addition, subtraction, multiplication, and division of whole numbers. They describe and compare simple fractions and decimals. They add and subtract fractions with like denominators and add and subtract decimals. They understand the properties of, and the relationships between plane geometric figures. They collect, represent, and analyze data to answer questions.
Students increase their facility with the four basic arithmetic operations applied to fractions, decimals and positive and negative numbers. They know and use common measuring units to determine length and area and know and use formulas to determine the volume of simple geometric figures. Students know the concept of angle measurement and use a protractor and compass to solve problems. They use grids, tables, graphs and charts to record and analyze data.
*Geometry 1-2, see high school course descriptions
Students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative integers; they accurately compute and solve problems. They apply their knowledge to statistics and probability. Students understand the concepts of mean, median, and mode of data sets and how to calculate the range. They analyze data and sampling processes for possible bias and misleading conclusions; they use addition and multiplication of fractions routinely to calculate the probabilities for compound events. Students conceptually understand and work with ratios and proportions; they compute percentages (eg., tax, tips, interest). Students know about pi and the formulas for the circumference and area of a circle. They use letters for numbers in formulas involving geometric shapes and in ratios to represent an unknown part of an expression. They solve one-step linear equations.
Students are adept at manipulating numbers and equations and understand the general principles at work. Students understand and use factoring of numerators and denominators and properties of exponents. They know the Pythagorean Theorem and solve problems in which they compute length of an unknown side. Students know how to compute the surface area and volume of basic three-dimensional objects and understand how area and volume change with a change in scale. Students make conversions between different units of measurement. They know and use different representations of fractional numbers (fractions, decimals, and percents) and are proficient at changing from one to another. They increase their facility with ratio and proportion, compute percents of increase and decrease, and compute simple and compound interest.
Students understand how to write and simplify expressions using number properties. They review the use of exponents and begin to use logical arguments and justify steps in solving equations. They learn to use rational numbers and their operations including taking the absolute value and taking the opposite. They solve multi-step word problems by translating them into linear equations. They use the addition and multiplication properties of inequality to solve linear inequalities. They learn about real numbers including square roots and cube roots.
This year long course is the second half of the Algebra 1-2 course. It continues instruction in the language and applications of algebra, including development of the real number system, variables, mathematical expressions, linear equations, problem solving, inequalities, polynomials, special products and factoring, and introduces graphs, relations and functions, quadratic equations, rational and radical expressions, and basic statistics and probability. Students must have taken Algebra AB in sequence with this course. Students receiving a grade of C or better will be permitted to enroll in Geometry.
This course is an introduction to the language and applications of algebra, including development of the real number system, variables, mathematical expressions, linear equations, problem solving, inequalities, polynomials, special products and factoring, graphs, relations and functions, quadratic equations, rational and radical expressions, and basic statistics and probability. Students receiving a grade of C or better will be permitted to enroll in Geometry.
Students in a development course have gaps and misunderstandings about mathematics. These students have not achieved the grade level math standards and are not proficient. These courses focus on a hands-on approach and modeling. Applications of basic arithmetic will be embedded in the daily problem-solving activities. Literacy strategies will be emphasized for learning key vocabulary and note-taking skills necessary for success in mathematics. Diagnostic assessment tools are be used, so students work on the gaps in their learning. This additional period supports the core period and allows the opportunity to preview, review or reteach the standards and skills at grade level.
This course is an introduction to the language and applications of algebra, including development of the real number system, variables, mathematical expressions, linear equations, problem solving, inequalities, polynomials, special products and factoring, graphs, relations and functions, quadratic equations, rational and radical expressions, and basic statistics and probability. Students receiving a grade of C or better will be permitted to enroll in Geometry.
This year long course covers the first half of the Algebra 1-2 course. It provides an introduction to the language and applications of algebra, including development of the real number system, variables, mathematical expressions, linear equations, problem solving, inequalities, polynomials, special products and factoring. Students must complete the sequence of Algebra CD to receive credit for the Algebra 1-2 course.
This year long course is the second half of the Algebra 1-2 course. It continues instruction in the language and applications of algebra, including development of the real number system, variables, mathematical expressions, linear equations, problem solving, inequalities, polynomials, special products and factoring, and introduces graphs, relations and functions, quadratic equations, rational and radical expressions, and basic statistics and probability. Students must have taken Algebra AB in sequence with this course. Students receiving a grade of C or better will be permitted to enroll in Geometry.
An Algebra Development course is an additional support period for the Algebra students who did not score proficient on the CST exam. The Algebra Development course remediates gaps in students learning, provides additional time for homework for the Algebra class and previews the next lesson which will be taught in the Algebra class. This class allows time to use a more hands-on approach for important Algebra concepts. This course will also provide practice for the CAHSEE.
This course reviews the applications and language of first year algebra with increased emphasis on number systems, functions, and graphs. Language and symbolism are expanded to encompass new concepts. The content includes such topics as relations and functions, quadratic equations, conic sections, matrices, logarithms, and sequences and series.
The course consists of a study of lines, planes, space, angles, curves, figures, and transformations. Basic ideas are introduced through concepts of sets of points with extensions into three dimensions. Coordinate geometry is formalized.
The course combines the many trigonometric, geometric and algebraic techniques needed for the preparation of the study of Calculus. The course is designed to strengthen the conceptual understanding and mathematical reasoning when solving problems. The course emphasizes the use of the graphing calculator as a tool to interpret results as well as a method of obtaining an answer.
This course is a one year program in advanced mathematics. It is comparable to the Finite Mathematics courses taught at the college level. The course is designed for students as a senior level mathematics course. It is recommended for students who plan to pursue a college major that does not require calculus and the higher levels of mathematics.
Career Math is designed to help students extend their knowledge of mathematics and develop appropriate consumer and career mathematical skills. Course content will cover such topics as basic operations, ratio, percent, algebra and geometry concepts, probability, measurement, and many consumer topics. Technology will be integrated.
This summer school course is offered to students who received a D or F in Algebra 1-2 during the second semester of the regular school year. The course will provide a brief overview of the first semester of the course while providing a concentration on the standard covered in the second semester. The course will use diagnostic testing to determine the Algebra concepts which students still need to master. This course is an introduction to the language and applications of algebra, including development of the real number system, variables, mathematical expressions, linear equations, problem solving, inequalities, polynomials, special products and factoring, graphs, relations and functions, quadratic equations, rational and radical expressions, and basic statistics and probability. Algebra is required for graduation from high school..
This summer school course is offered to students who received a D or F the second semester of the regular school year in Geometry 1-2. The course will provide a brief overview of the first semester of the course while providing a concentration on the standards covered in the second semester. The course will use diagnostic testing to determine the Geometry concepts which students still need to master. The course consists of a study of lines, planes, space, angles, curves, figures, and transformations. Basic ideas are introduced through concepts of sets of points with extensions into three dimensions. Coordinate geometry is formalized..
