Algebra 1-B

Duration

10 Months

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.

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Algebra 1-B