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MTH 110: Prealgebra

Overview of Course

• The following table shows where (which Pie) the concepts (vertical column) in Prealgeba are covered.
• You will see that Linear equations are studied in Pies 1, 2, and 3.  As you learn more material, the difficulty of the linear equations increase.
• Similarly, topics in "Measurement" and "Geometry" are covered in several Pies as they are studied to show where we use whole numbers, fractions, decimals and percents.
• Still, there is a "main focus" in each Pie.
  • Pie 1: operations with whole numbers, fractions, decimals, and percents; and order of operations;
  • Pie 2: operations with integers and signed numbers; using the distributive property; and combining like terms;
  • Pie 3: solving all types of linear equations and word problems using linear equations to solve them; and working with exponents;
  • Pie 4: multiplying polynomials; and solving more complicated percentage and proportion problems.

   

  MTH 110: Prealgebra	Pie 1	Pie 2	Pie 3	Pie 4
  I. Whole Numbers Operations with whole numbers…Order of operations…Place value and rounding…GCF and LCM
  Prime numbers and prime factorization...Combining like terms, advanced…Properties of Real Numbers
  II. Fractions and proportions Operations on fractions and mixed numbers…Simple proportions
  More proportions
  More proportions
  III. Decimals and percents Operations on decimals…Converting among fractions, decimals and percents
  Word problems using percentages
  Applications using percentages
  VI. Measurement, Data and Probability Time conversion…Converting within the U.S. customary system of measurement…Converting within the metric system…Working with bar graphs and histograms
  Two-step English unit and metric conversion problems…Converting between customary and metric units…Interpreting bar graphs…Finding mean, median and mode
  Finding a new score that will yield a new mean
  V. Variable expressions and polynomials Integer addition…Writing a mathematical expression
  Absolute value…Operations using integers and signed fractions…Evaluating a linear expression…Using the distributive property…Combining like terms…Properties of addition…Evaluating expressions with exponents…Order of operations and exponents…Square roots of perfect squares
  Laws of exponents
  Simplifying and multiplying polynomials
  VI. Equations and graphs Solve equation like 4 + x = 8 and 4x = 8… Translate sentences into equations
  Solve equations like 4x – 10 = 14…Solve equations involving fractions…Find next term of a simple sequence…Read a point on a coordinate graph
  Solve all types of linear equations…Applications… Read and plot points in the coordinate plane…Find solutions to linear equations, type 1, 2 and 3 problems
  VII. Geometry Angles and line…Triangles…Perimeter and areas of some types of polygons…Volume of cube or rectangular prism
  Supplementary, complementary and vertical angles…Circumference and area of circle…Areas of various shapes…Distinguishing between area and perimeter
  Pythagorean Theorem
  Similar right triangles…Indirect measurement…Volumes and surface areas of various figures