Algebra 1-B

Duration

Annual

Prerequisites

Algebra IA

Requirements

Instruction will be focused on ensuring mastery in these four areas:

  • performing operations with polynomials and radicals and extending the Laws of Exponents to include rational exponents
  • extending understanding of functions to quadratic and exponential functions and using them to model and analyze real-world relationships
  • solving quadratic equations in one variable
  • building functions, identifying their key features, and representing them in various ways

Course Summary

Algebra 1-B is the second course in a two-course sequence. In Algebra 1-B, you will focus on the Algebra 1 benchmarks related to exponential and quadratic functions, as well as data and statistics. The lessons are designed to help you develop fundamental algebraic skills for problem-solving in the real world.

MAJOR TOPICS AND CONCEPTS

Major Topics and Concepts:

Segment One

  • Classify exponential functions as representing growth or decay.
  • Determine the percent rate of change and other key features in an exponential function.
  • Solve real-world problems involving simple and compound interest.
  • Write an exponential function from a graph, a written description, and a table of values.
  • Compare key features of linear and nonlinear functions.
  • Apply the Laws of Exponents to generate and evaluate numerical and algebraic expressions, including those involving rational exponents.
  • Add, subtract, and multiply polynomial expressions.
  • Identify the greatest common factor in a polynomial expression.
  • Rewrite a polynomial expression as a product of polynomials.

Segment Two

  • Simplify, add, subtract, multiply, and divide numerical radical expressions.
  • Write and solve one-variable quadratic equations within a mathematic or real-world context.
  • Determine and interpret the key features of a quadratic function.
  • Graph quadratic functions within a mathematical or real-world context.
  • Write a quadratic function from a graph, a table of values, a written description, or using the roots and another point on the function.
  • Identify the effect on the graph of a quadratic function after a vertical or horizontal translation or dilation.
  • Identify the effect on the table representing a quadratic function after a vertical or horizontal translation or dilation.
  • Given an equation or a graph that defines a function, determine the function type.
  • Given a table that defines a function, determine a function type that could represent it.
  • Identify if a data set is numerical or categorical and if it is univariate or bivariate.
  • Determine an appropriate way to represent data sets.
  • Identify the shape of the distribution of data, given various displays.
  • Interpret data distributions using different displays and interpret data using key components of the display.
  • Construct a two-way frequency table and use the table to determine possible associations.
  • Interpret joint and marginal frequencies.

Estimate a population total, mean, and percentage using data from a sample survey.

How Algebra 1-B supports student success

In Algebra 1-B, students build subject knowledge through structured online lessons, guided practice, and regular feedback from qualified teachers. The course supports flexible study while maintaining clear academic expectations and steady progress.

Students can revisit learning materials, complete assignments at a manageable pace, and use teacher guidance to strengthen understanding. Families can follow progress while learners develop organization, independent study habits, and confidence.

  • Clear learning goals connect each lesson to the wider course.
  • Activities and assignments help students apply important concepts.
  • Assessments and teacher feedback identify strengths and next steps.
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