Las Vegas Math Tutor
Las Vegas Math Tutor

GED MATH SECTION

GED MATH SECTION

NUMBER SENSE

  1. Fractions and Decimals on a Number Line
  2. Absolute values or Rational Numbers on a Number Line
  3. Distance between Two Numbers on a Number Line
  4. Rules of Exponents with Numerical Expressions.
  5. Number Properties, like Multiples and Factors
  6. Greatest Common Factor
  7. Least Common Multiple
  8. Distributive Property to Rewrite Numeric Expressions

EXPONENTS, ROOTS of RATIONAL NUMBERS, FRACTIONS and DECIMALS

  1. Multiply, subtract and divide rational numbers
  2. solve practical real-world problems,
  3. one-step or multi-step arithmetic problems involving addition, subtraction, division and/or multiplication with rational numbers, including those involving scientific notation
  4. determine when a numerical expression is undefined
  5. compute and write numerical expressions with squares and square roots of positive, rational numbers

RATIOS, PERCENTS and SCALE FACTORS

  1. compute unit rates
  2. solve two-step, arithmetic, real world problems involving percents
  3. solve multi-step, arithmetic, real-world problems using ratios or proportions including those that require converting units of measure
  4. use scale factors to determine the magnitude of size change
  5. convert between actual drawings and scale drawings

DIMENSIONS, PERIMETER, CIRCUMFERENCE, and AREA

  1. compute area and perimeter of triangles and rectangles
  2. determine side lengths or triangles and rectangles when given area or perimeter
  3. use the Pythagorean Theorem to determine unknown side lengths in a right triangle
  4. compute perimeter and area of 2-D composite geometric figures, which could include circles
  5. compute the perimeter of a polygon
  6. compare the area of a polygon when given a geometric formula
  7. determine side lengths of polygons when given perimeter or area
  8. compute the area and circumference of circles
  9. determine radius or diameter when given an area or circumference

DIMENSIONS, SURFACE AREA, and VOLUME

  1. compute volume and surface area or rectangular prisms when given geometric formulas
  2. solve for side lengths or height when given volume or surface area
  3. compute surface area and volume of composite 3-D geometric figures, given geometric formulas
  4. compute volume and surface area of spheres when given geometric formulas
  5. solve for radius or diameter when given the surface area
  6. compute volume and surface area of right pyramids and cones when given geometric formulas
  7. solve for side lengths, height, radius, or diameter when given volume or surface area
  8. compute volume and surface area of right prisms when given geometric formulas
  9. solve for side lengths or height when given volume or surface area
  10. solve for height, radius or diameter when given volume or surface area
  11. volume and surface area of cylinders when given geometric formulas?

    INTERPRET and CREATE DATA ANALYSIS

    1. Represent, display, and interpret categorical data in bar graphs
    2. represent, display, and interpret data involving two variables in tables and the coordinate plane including scatter plots and graphs
    3. represent, display, and interpret data involving tone variable plots on the real number line including dot plots, histograms and box plots

    MEAN, MEDIAN, MODE and WEIGHTED AVERAGE

    1. calculate the mean, median and range
    2. calculate a missing data value, given the average and all the missing data values but one
    3. calculate the average, given the frequency counts of all the data values, and calculating a weighted average

    COUNTING TECHNIQUES and PROBABILITIES

    1. use counting techniques to solve problems and determine combinations and permutations
    2. determine the probability of simple and compound events

    EXPRESSIONS and POLYNOMIALS

    1. add, subtract, factor, multiply and expand linear expressions with rational coefficients
    2. write rational expressions as part of word-to-symbol translations or represent common settings
    3. evaluate rational expressions by substituting integers for unknown quantities
    4. write polynomials expressions as part of word-to-symbol translations or represent common settings
    5. factor polynomial expressions
    6. add, subtract, multiply and divide rational expressions
    7. evaluate polynomial expressions by substituting integers for unknown quantities
    8. add subtract, multiply polynomials, including multiplying two binomials, or divide factorable polynomials
    9. write linear expressions as part of word-to-symbol translations or represent common settings
    10. write linear expressions by substituting integers for unknown quantities
    11. evaluate linear expressions by substituting integers for unknown quantities

    LINEAR EQUATIONS

    1. solve one-variable linear equations with rational number coefficients
    2. solve a system of two simultaneous linear equations by graphing, substitution, or linear combinations
    3. solve real-world problems leading to the system of linear equations
    4. write one-variable linear equations to represent context
    5. solve real-world problems involving linear equations

     

      LINEAR INEQUALITIES

      1. solve linear inequalities of one variable with rational number coefficients
      2. write linear inequalities in one variable to represent context
      3. solve real-world problems involving inequalities

      QUADRATIC EQUATIONS

      1. solve quadratic equations in one variable with rational coefficients and real solutions using appropriate methods
      2. write one-variable quadratic equations to represent a specific context

      GRAPHS AND FUNCTIONS

      1. locate given points on the coordinate plane
      2. graph two-variable linear equations
      3. interpret unit rate as the slope of a proportional relationship
      4. determine the slope of a line when given a graph, equation, or table
      5. interpret key features of graphs and tables in terms of quantities
      6. sketch graphs showing key features given a verbal description of relations
      7. sketch graphs showing key features of graphs and tables in terms of quantities

      COORDINATES, LINES, and EQUATIONS

      1. write the equation of a line with a given slope through a given point
      2. use the slope to identify parallel and perpendicular lines and to solve geometric problems
      3. write an equation of a line passing through two given distinct points

      FUNCTIONS

      1. compare two different proportional relationships represented in different ways
      2. compare properties of two linear and quadratic functions when they are represented in different ways
      3. evaluate linear and quadratic functions for values when they are represented with function notations
      4. represent or identify a function in a table of the graph as having exactly one output for each input