A Story of Functions Curriculum OverviewSequence of Algebra I Modules Aligned with the Standards
Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs
Module 2: Descriptive Statistics
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
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.
CCLS Major Emphasis Clusters
Seeing Structure in Expressions
*Interpret the structure of expressions
Arithmetic with Polynomials and Rational Expressions
*Perform arithmetic operations on polynomials
*Create equations that describe numbers or relationships
Reasoning with Equations and Inequalities
*Understand solving equations as a process of reasoning and explain the reasoning
*Solve equations and inequalities in one variable
*Represent and solve equations and inequalities graphically
*Understand the concept of a function and use function notation
*Interpret functions that arise in applications in terms of the context
Interpreting Categorical and Quantitative Data
* Interpret linear modelsStudents in this class will take Common Core regents.