Algebra I

Course Description

This full-year course focuses on five critical areas: relationships between quantities and reasoning with equations, linear and exponential relationships, descriptive statistics, expressions and equations, and quadratic functions and modeling. This course builds on the foundation set in middle grades by deepening students’ understanding of linear and exponential functions, and developing fluency in writing and solving one-variable equations and inequalities. Students will interpret, analyze, compare, and contrast functions that are represented numerically, tabularly, graphically, and algebraically. Quantitative reasoning is a common thread throughout the course as students learn how they can use algebra to represent quantities and the relationships among those quantities in a variety of ways. Standards of mathematical practice and process are embedded throughout the course, as students make sense of problem situations, solve novel problems, reason abstractly, and think critically.

Units of Study

  • Representing Relationships
  • Linear Functions
  • Linear Equations and Inequalitie
  • Systems of Equations and Inequalities
  • Nonlinear Functions
  • Exponential Functions
  • Polynomial Expressions
  • Quadratic Functions
  • Quadratic Equations
  • Data Analysis

Course Features

  • This course includes over 150 tasks in which students use interactive tools to visualize
    abstract concepts, make connections between algebraic and geometric representations, and
    work through mathematical solutions with immediate feedback at each step.
  • To promote inquiry and a focus on big ideas, every lesson includes a guiding lesson question.
  • The course includes an abundance of rich graphics, charts, diagrams, animations, and
    simulations, which help students relate to and visualize the content. Dynamic interactive activities are embedded within lessons that allow students to manipulate parameters of a graph.
  • To address statistics standards, students will use technology to analyze real-world data by creating regression models and dynamic charts.
  • Performance tasks allow students to demonstrate understanding with meaningful, real-world applications. These appear at the end of each semester, in Units 5 and 10.
  • Read assignments extend concepts presented in the lesson and expose students to real-world applications, career connections, and math history.
  • Students in this course will have access to a graphing calculator, a statistics calculator, and a regression calculator.
  • The graphing calculator is dynamic and allows for adjustable parameters. A hover
    feature also allows students to analyze and identify key properties of the graph(s).
  • The statistics calculator is also a dynamic tool that automatically updates as data is
    entered, calculates statistics, and graphs the data set.
  • The regression calculator performs multiple types of regression analyses,
    automatically updates, and has a built-in scaling feature.

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