Mathematics

All students study the mathematical strands recommended by the California Framework: Number, Measurement, Geometry, Patterns and Functions, Statistics and Probability, Logic and Language, and Algebra. Focus is placed on problem solving, conceptual understanding, building connections throughout the strands, and developing computational skills. Students solve problems, communicate ideas in both oral and written form, analyze and organize information, evaluate alternative mathematical approaches, and interpret results. Students use mental math, estimation, paper and pencil computation, manipulatives, calculators, computers, and other technology as appropriate. Students are heterogeneously grouped in sixth grade and work both independently and in cooperative group situations. Instruction is differentiated to appropriately challenge students. Extra challenge and enrichment opportunities are available to all students. 

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Students will follow the 7th grade Common Core Content Standards. Seventh grade mathematics focusses on the application of ratios and proportional reasoning. Students develop an understanding of and apply proportional relationships. They develop a further understanding of operations with rational numbers and work with expressions and linear operations. Students solve problems involving scale drawings and informal geometric constructions. They work with two- and three-dimensional shapes to solve problems involving area, surface area, and volume. They draw inferences about populations based on samples. Students will solve problems, communicate ideas in both oral and written form, analyze and organize information, evaluate alternative mathematical approaches, and interpret results. The Mathematical Practice Standards will be used to build on the student’s ability to make sense of a variety of problems.

This is the first year in a two-year accelerated course. Students will cover all of 7th grade Common Core standards, with the addition of some Standards for 8th grade, allowing students to cover 3 years of material in 2 years (7th and 8th grade). These additions from 8th grade include having students develop the concept of a function and use functions to describe quantitative relationships as well as analyze two- and three-dimensional space and figures using distance, angles, similarity and congruence. They grasp the concept of a function and use functions to describe quantitative relationships. Students learn and apply the Pythagorean Theorem. The Mathematical Practice Standards will be used to build on the student’s ability to make sense of a variety of problems. Students are expected to maintain a B- or better for placement into the Algebra 8 course in 8th grade.

Students will follow the 8th grade Common Core Standards. Eighth grade mathematics focusses on the algebra of linear relationships. Students formulate and reason about expressions and equations, including modeling an association in bivariate data with a linear expression and solving linear equations and systems of equations. They grasp the concept of a function and use functions to describe quantitative relationships. Students analyze two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and learn and apply the Pythagorean Theorem. Students continue to use and improve their skills in problem solving, communicating mathematical ideas in oral and written form, analyzing complex situations, organizing information, using computers and graphing calculators, and working independently and in groups. The Mathematical Practice Standards will be used to build on the student’s ability to make sense of a variety of problems.

This is the second year in a 2-year accelerated course. This course completes the 8th grade Common Core Content Standards in addition to the Algebra Content Standards. Students deepen and extend their understanding of linear and exponential relationships by contrasting them with each other and by applying models to data. Students engage in methods for analyzing, solving, and using quadratic functions. Students analyze two- and three-dimensional space and figures using distance, angle, similarity, and congruence. In addition to analyzing bivariate data, students will also focus on data distribution and correlation. The focus is on solving linear, quadratic and exponential functions. The Mathematical Practice Standards will be used to build on the student’s ability to make sense of a variety of problems. Students are expected to maintain a B- or better for placement into Geometry in 9th grade. Pre-requisite: Math 7A or satisfactory completion of the Summer Bridge to Algebra Course.