MATH CURRICULUM

TRANSITIONAL MATH


 Course Description

Transitional math is a year course designed for freshman who will require a preparatory course before entering Introductory Algebra.  The class will review basic math skills in whole numbers, decimals, fractions, and integers.  Other topics to be covered include basic geometry, areas and volumes, basic data handling, and solving equations.


-Patterns, Relationships, and Functions

Students recognize similarities and generalize patterns; use patterns to create models and make predictions; describe the nature of patterns and relationships, and construct representations of mathematical relationships.

Students will:

  • Continue a number pattern and write a rule for a number pattern.
  • Solve problems by making a table to find a pattern.
  • Solve problems by working backward.
  • Name coordinates.
  • Graph points on the Cartesain Plane.
  • Use a table of values to graph equations.
  • Solve problems using logical reasoning.
  • Solve a problem using two different methods.
  • Use a plan to solve problems.
  • Solve a simpler problem (problem solving strategy).

-Geometry and Measurement-

Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes; identify properties and describe relationships among shapes.

Students will:

  • Identify and classify three-dimensional figures.
  • Identify polygons.
  • Be able to classify quadrilaterals.
  • Identify congruent figures.
  • Be able to define points, lines, segments and rays.
  • Find areas and perimeters of rectangles.
  • Find areas of triangles and parallelograms.
  • Find the circumference of a circle.
  • Find the area of a circle.
  • Find the surface areas of different prisms.
  • Find the volume of different prisms.
  • Identify translations, reflections and rotations.
  • Be able to define parallel, intersecting and skew lines.
  • Be able to identify special pairs of angles.
  • Identify similar figures.
  • Recognize lines of symmetry within figures.
  • Identify the parts of a circle.
  • Measure and classify angles.
  • Use metric units of length.
  • Choose appropriate units of measurement.
  • Choose appropriate units of measurement.
  • Change units of measurement.
  • Compute with units.
  • Be able to define supplementary and complementary angles.
  • Classify triangles by angles and sides.
  • Choose units for mass and capacity.
  • Convert metric measurements.
  • Choose units for mass and capacity.
  • Estimate areas of irregular shapes using squares.
  • Find areas and perimeters of rectangles.
  • Find areas of triangles and parallelograms.
  • Find the area of complex figures.
  • Choose units for mass and capacity.
  • Collect and organize data by making a frequency table.
  • Problem solve by making a list.
  • Read data and represent data in a spreadsheet.
  • Collect and represent data in a stem-and-leaf plot.
  • Construct box plots using a graphing calculator.
  • Make a line plot and find the range.
  • Represent data in bar graphs and line graphs.
  • Read data and represent data in a spreadsheet.
  • Construct box plots using a stem-and-leaf plot.
  • Identify misleading graphs.
  • Identify misleading statistics.
  • Find the mean, median and mode of a set of data.
  • Solve problems by drawing a diagram.

-Number-

Student will:

  • Find square roots.
  • Classify numbers as rational.
  • Solve problems by writing an equation.
  • Write and compare whole numbers.
  • Compare decimals using models.
  • Compare and order fractions.
  • Graph integers on a number line.
  • Compare and order integers.
  • Write ratios.
  • Find and use a unit rate.
  • Find the prime factorization of a number.
  • Find the greatest common factor.
  • Find the least common multiple.
  • Find and use the scale factor of similar solids.

-Numerical

Students will:

  • Multiply decimals using the properties of multiplication.
  • Multiply and divide decimals by 10, 100, and 1,000.
  • Divide decimals by whole numbers and decimals.
  • Use the order of operations.
  • Add and subtract decimals.
  • Use exponents.
  • Estimate sums and differences.
  • Use variables.
  • Evaluate algebraic expressions.
  • Relate words to algebraic expressions.
  • Use algebraic expressions.
  • Simplify expressions with exponents.
  • Read and use schedules.
  • Solve problems by drawing a diagram.
  • Use mental math to solve equations.
  • Estimate solutions of equations.
  • Solve equations by addition and subtraction.
  • Solve equations by multiplication and division.

 Probability and Statistics
-

Students will:

  • Use a tree diagram to determine probabilities.
  • Use the counting principal to determine probabilities.
  • Find the probabilities of simple events.
  • Identify independent events.
  • Find probabilities of compound events.
  • Make predictions based on probabilities.
  • Solve problems by using a simulation.
  • Find experimental probabilities.