# Mathematics

## Mathematics

**Instructional Supervisor: Becky Rea
Teachers: Keith Casey, Lorie Englhardt, Richard Hung, Paul Jorgens, Cherish Larsen, Lori Lester, Bryan Nabas, Becky Rea, Pauline Rodriguez, Mark Segesta, and Annie Yount**

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Middle School Math Textbook Adoption Update

PAUSD Secondary Math Placement Recommendations

6th Grade Math: Information for Parents* Mandarin Translation Spanish Translation*

PAUSD Math Placement Recommendations 2016-2017

CA Common Core Math Standards

### Math Course Descriptions:

Common Core Content Standards are taught in all math classes. The Mathematical Practice Standards apply throughout each math course offered and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

### Math 6:

Students will follow the 6th grade Common Core Content Standards. Sixth grade mathematics focusses on ratios and proportional reasoning. Students connect ratios and rates to whole number multiplication and division. They use the concepts of ratio and rate to solve problems. Students complete their understanding of fractions and extend the notion of number to the system of rational numbers, which include negative numbers. Students write, interpret and use expressions and equations and develop an understanding of statistical thinking Students are heterogeneously grouped in 6th grade and work both independently and in cooperative group situations with instruction that is differentiated to appropriately challenge students. Extension and enrichment opportunities are available to all students

### Math 7:

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.

Math 7A:

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. Students are expected to maintain a B- or better for placement into the Algebra 8 course in 8th grade.

Topics Covered in Math 7A: topicscoveredmath7a.pdf

Math 8:

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.

Algebra 8:

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 Content Standards for algebra. Students formalize and extend the mathematics that students learned previously. Students deepen and extend their understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and engage in methods for analyzing, solving, and using quadratic functions. In 8th grade algebra, the focus is on solving linear, quadratic and exponential functions. 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.