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10-834-109 Pre-Algebra
Course Information
Description
Provides an introduction to algebra. Includes operations on real numbers, solving linear equations, percent and proportion, and an introduction to graphing, measurement, geometry and statistics. Prepares students for elementary algebra and subsequent algebra related courses.
Total Credits
3

Course Competencies
  1. Perform calculations with whole numbers and integers
    Assessment Strategies
    Satisfactory score on all tests, quizzes ,or graded assignments incorporating this competency
    Criteria
    identify place value
    round whole number and integers
    write expanded notation forĀ  numbers
    add, subtract, multiply, and divide whole numbers and integers
    factor whole numbers
    find least common multiple
    find greatest common factor
    compute whole number powers and roots
    simplify using the order of operations

  2. Perform calculations with decimals and fractions
    Assessment Strategies
    Satisfactory score on all tests, quizzes ,or graded assignments incorporating this competency
    Criteria
    identify place value
    write expanded notation forĀ  numbers
    reduce fractions
    convert between improper fractions and mixed numbers
    find equivalent fractions
    add, subtract, multiply, and divide decimals and fractions
    convert between fraction notation and decimal notation
    round decimals
    simplify complex fractions

  3. Explore simple linear equations and expressions
    Assessment Strategies
    Satisfactory score on all tests, quizzes, or graded assignments incorporating this competency
    Criteria
    determine whether a given number is a solution of an equation
    solve linear equations in one variable by inspection
    translate English phrases into expressions
    translate English sentences in equations

  4. Use algebraic expressions
    Assessment Strategies
    Satisfactory score on all tests, quizzes, or graded assignments incorporating this competency
    Criteria
    evaluate expressions using the order of operations
    evaluate expressions containing exponents
    simplify an expression including combining like terms and distribution

  5. Solve basic linear equations using the principles of equality
    Assessment Strategies
    Satisfactory score on all tests, quizzes, or graded assignments incorporating this competency
    Criteria
    solve one-step equations (for example x+a=c and x-a=c or ax=c and x/a=c)
    solve two-step equations (for example ax+b=c)
    solve equations with parentheses
    solve equations that contain fractions

  6. Solve problems using percent and proportion
    Assessment Strategies
    Satisfactory score on all tests, quizzes, or graded assignments incorporating this competency
    Criteria
    convert between decimal notation and percent notation
    convert between fractional notation and percent notation
    solve proportions
    simplify ratios and rates
    solve percent problems
    solve percent increase and decrease problems
    apply percents to solve real world problems
    solve simple interest problems

  7. Graph lines
    Assessment Strategies
    Satisfactory score on all tests, quizzes, or graded assignments incorporating this competency
    Criteria
    plot points on a coordinate system
    name the coordinates of points
    graph a linear equation by point plotting or using a table of solutions

  8. Calculate statistics
    Assessment Strategies
    Satisfactory score on all tests, quizzes, or graded assignments incorporating this competency
    Criteria
    find the mean of a set of numbers
    find the median of a set of numbers
    find the mode of a set of numbers
    interpret a basic statistical graph (such as bar graph, line graph, etc.)

  9. Solve problems involving measurement and geometry
    Assessment Strategies
    Satisfactory score on all tests, quizzes, or graded assignments incorporating this competency
    Criteria
    compute perimeter, area, and volume using geometric formulas
    perform unit conversions
    perform calculations with appropriate units