Algebra Overview



 
Summary of Year

The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. Because it is built on the middle grades standards, this is a more ambitious version of Algebra I than has generally been offered. The modules deepen and extend 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 students engage in methods for analyzing, solving, and using quadratic functions. The Mathematical Practice Standards apply throughout each course 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.

Recommended Fluencies for Algebra I
  • Solving characteristic problems involving the analytic geometry of lines, including, writing the equation of a line given a point and a slope.
  • Adding, subtracting and multiplying polynomials.
  • Transforming expressions and chunking (seeing the parts of an expression as a single object) as used in factoring, completing the square, and other algebraic calculations.

Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs
Module 3: Linear and Exponential Functions
Module 4: Polynomial and Quadratic Expressions, Equations and Functions
Module 5: A Synthesis of Modeling with Equations and Functions