Math: 8th Grade
Students who have successfully completed Math 6/7 may choose to complete this two-year compacted course sequence, preparing them for Algebra 1 in grade 8. Focus in Math 7/8 will be on solving problems using linear equations and inequalities, using radicals and integer exponents, connecting proportional relationships and lines, solving systems of linear equations, and defining, evaluating, and comparing functions. The full content of Math 8 (see Math 8 course descriptions) will be studied in this course. The compacted nature of the course will require students to be comfortable and proficient in learning math at an accelerated pace.
In Math 8, students begin a serious study of algebra with the learning of linear functions. With their study of number systems relatively complete, the focus shifts to the abstract application of their understanding of arithmetic. This content will focus on three critical areas, including (1) formulating and reasoning about expressions and equations, modeling bivariate data with a linear equation, solving linear equations, and working with systems of linear equations; (2) developing an understanding of the concept of a function and using functions to describe quantitative relationships; and (3) analyzing two-and three-dimensional space and figures using distance, angle, similarity, congruence, and understanding and applying the Pythagorean Theorem. This work will lay the foundation for their success in a high school Algebra 1 course.
Algebra 1 formalizes and extends the mathematics students learned in Math 6/7 and Math 7/8. The major components of study include (1) using equations and inequalities to model real-life quantities and manipulating them to highlight quantities of interest while focusing on the underlying structures of equations and inequalities; (2) understanding of function, function notation, and the domain and range restrictions associated with the function; and (3) working with exponential and quadratic functions through a structural perspective in comparison to linear functions. These concepts lay the foundations for analytic geometry concepts and for the study of different function types in Algebra 2 and other advanced courses. This course is equivalent to the Algebra 1 course taken at the CCSD high schools.