X-Power Interactive: Educators' Edition is a complete algebra I course.

Ten chapters packed full of instructional segments, hands-on labs, interactive tools, mathematical games, problem sets, quizzes, tests and more.

Chapter Topics and Objectives ( show all | hide all )
Chapter 1: Real Numbers and Properties [show objectives]

Objectives

  • Use models of integers to develop algorithms for computations.
  • Perform computations on real numbers with a focus on integers.
  • Find patterns in tables and other representations.
  • Solve nonroutine problems using a variety of strategies.
  • Create addition/subtraction and multiplication/division fact teams.
  • Identify and use properties of real numbers.
  • Find absolute values of real numbers.
  • Investigate the order of operations.
  • Evaluate numerical expressions, including those with integral exponents.
Chapter 2: Algebraic Expressions [show objectives]

Objectives

  • Translate verbal descriptions into algebraic expressions or equations, and vice versa.
  • Use symbols to represent unknowns and variables.
  • Investigate the concept of variable.
  • Uses properties of real numbers to simplify, create, and evaluate algebraic expressions.
  • Explain equivalent relationships.
  • Solve nonroutine problems using a variety of strategies.
  • Solve simple equations by inspection, guess-and-test, or working backwards.
Chapter 3: Linear Expressions [show objectives]

Objectives

  • Solve linear equations and inequalities using manipulatives, tables, graphs, working backwards, guess-and-test, inspection, and algebraically.
  • Solve absolute value equations (simple) with a variety of methods.
  • Solve nonroutine problems using a variety of strategies.
  • Explain and justify a solution process used to solve an equation.
  • Create equations, given a specific solution.
  • Graph solutions to linear inequalities.
  • Solve nonroutine problems using a variety of strategies.
Chapter 4: Graphing and Functions [show objectives]

Objectives

  • Describe the Cartesian coordinate system.
  • Plot and identify points on a two-dimensional graph.
  • Find solutions to equations in two variables.
  • Read and interpret graphs.
  • Graph lines given in standard, slope-intercept and other forms on a two-dimensional graph, using a variety of methods.
  • Graph a line given characteristics such as slope and intercept(s).
  • Identify and use x- and y-intercepts to graph and to interpret information.
  • Find the slope of a line using multiple methods.
  • Solve nonroutine problems using a variety of strategies.
  • Use symbols to describe functions and patterns.
  • Identify and describe functions, developing the definition of a function.
  • Graph quadratic and cubic equations.
  • Graph inequalities on a two-dimensional graph.
Chapter 5: Systems of Equations [show objectives]

Objectives

  • Find the equation of a line, given a variety of information.
  • Solve a system of equations using graphing, geometric representations, technology, and algebraic methods.
  • Identify, graph, and describe parallel and perpendicular lines.
  • Solve nonroutine problems using a variety of strategies.
  • Create a system of equations given a solution.
  • Graph systems of inequalities on a two-dimensional graph.
  • Read and interpret graphs.
Chapter 6: Polynomial Operations [show objectives]

Objectives

  • Develop, investigate and use properties of exponents, including zero and negative exponents.
  • Create, simplify, and evaluate polynomial expressions.
  • Generalize patterns found in polynomial computations.
  • Solve nonroutine problems using a variety of strategies.
Chapter 7: Factors and Products [show objectives]

Objectives

  • Use a variety of methods to multiply polynomials, including the Box Method, vertical method, and FOIL.
  • Use a variety of methods to divide polynomials, including factoring and division method.
  • Find the prime factorization of numbers.
  • Generalize patterns found in decomposing monomials and algebraic terms, including numerical expressions.
  • Find the greatest common factor of algebraic terms.
  • Completely factor an algebraic term.
  • Completely factor polynomials.
  • Factor and multiply polynomial expressions.
  • Identify, describe and use special products, including difference of two squares, trinomial squares, and the sum of two cubes.
  • Solve nonroutine problems using a variety of strategies.
Chapter 8: Quadratic Equations [show objectives]

Objectives

  • Solve polynomial equations using a variety of methods, including graphing, factoring, completing the square, the quadratic formula, and technology.
  • Apply polynomial equations to multiple contexts.
  • Solve nonroutine problems using a variety of strategies.
Chapter 9: Radical Expressions and Equations [show objectives]

Objectives

  • Simplify, evaluate and create radical expressions.
  • Develop, investigate, and use properties of radical expressions.
  • Solve radical equations using a variety of methods, including guess-and-test and algebraic techniques.
  • Solve nonroutine problems using a variety of strategies.
  • Apply properties of square roots to other contexts.
  • Investigate the Pythagorean Theorem.
  • Develop and use the Distance Formula.
Chapter 10: Rational Expressions and Equations [show objectives]

Objectives

  • Simplify, evaluate, and create rational expressions.
  • Compute with rational expressions.
  • Simplify, evaluate, and create complex fractions.
  • Solve nonroutine problems using a variety of strategies.
  • Investigate, use, and create rations and proportions to solve problems.
  • Solve rational equations with a variety of methods, including guess-and-test, algebraic methods, and common denominators.
Comprehensive Final Exam [show objectives]

Objectives

  • Covers all 10 Chapters
  • See above chapter objectives
Each chapter includes:
  • Challenging mathematics games that:
    • Are engaging and fun
    • Focus on higher-order thinking skills
    • Incorporate a range of difficulty levels

  • 3-D animated video adventures that:
    • Use a 'student' approach to engage other students
    • Model NCTM process standards
    • Involve worthwhile mathematics

  • Interactive learning tools that:
    • Provide virtual manipulatives
    • Allow unique representations of solutions
    • Promote communication strategies
    • Support conceptual understanding

  • Instructional segments that:
    • Include narrated and animated graphics
    • Promote conceptual and skill development
    • Appeal to different learning styles

  • Labs (Hands-on explorations) that:
    • Use manipulatives
    • Involve problem solving
    • Build conceptual understanding or extend a big idea

  • Problem sets with tutorials that:
    • Introduce multiple problem types, including non-routine problem solving, conceptual and skill items
    • Develop fluency with skills
    • Provide constructive feedback on a per problem basis

  • Assessment tasks including Quizzes and Tests that:
    • Consist of a series of items that can be added to an existing classroom assessment
    • Link to problem solving and conceptual understanding
    • Involve expanded responses similar to requirements on state tests

  • Classroom videos and samples of student work that
    • Provide exemplars and models of teaching and learning
    • Illustrate what teachers can expect when they use these same components with their own students