  
Student Learning Outcomes 
 Apply geometric formulas to solve applications involving perimeter, area, and volume.
 Apply knowledge of proportional reasoning and percent to real applications.

Description  
 Development and applications of percents and geometric concepts. Review of addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Review of algebraic concepts including solving firstdegree equations and evaluating and simplifying expressions, and applications of ratios and proportions.


Course Objectives  
  identify whole numbers and decimal place values
 write whole numbers and decimals in words
 write whole numbers and decimals using expanded notation
 round whole numbers and decimals
 represent whole numbers, fractions and signednumbers on the numberline
 perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
 compare the sizes of real numbers
 estimate sums, differences, products and quotients of whole numbers, decimal and fractions
 verify sums, differences, products and quotients of whole numbers
 use order of operations to evaluate expressions with whole numbers, fractions, decimals and signednumbers
 represent fractions, mixed numbers and percentages using shaded regions of figures
 find the greatest common factor and least common multiple of a list of whole numbers
 recognize and write equivalent fractions, including writing fractions in lowest terms
 perform conversions between decimals, fractions and percentages
 identify sets of numbers contained within the real numbers
 identify and use the properties (commutative, associative, distributive) of real numbers
 identify opposite and absolute value of a real number
 find the mean, median and mode of a list of numbers
 evaluate square roots
 evaluate expressions using replacement values for the variables
 simplify expressions by combining like terms
 solve linear equations in one variable
 discuss arithmetic of whole numbers, decimals fractions and signed numbers and algebra of expressions and equations using proper vocabulary
 use arithmetic and equations to solve problems, including those found in diverse fields
 use ratios, rates, and proportions, and percentages to solve problems, including applications found in diverse fields
 find perimeter, area and volume of geometric figures
 read charts and bar graphs
 use a scientific calculator
 discuss mathematical problems and write solutions in accurate mathematical language and notation.
 interpret mathematical solutions.

Special Facilities and/or Equipment  
  Software capable of generating multimedia presentations of course content, algorithmically generated practice problems, and tutorial assistance.
 Internet Access.

Course Content (Body of knowledge)  
  Geometric figures / area and perimeter
 identify basic geometric figures
 find the perimeter of a polygon
 find the area of a polygon
 find the circumference and area of a circle
 use the Pythagorean theorem to find the missing side length of a right triangle
 find the surface area and volume of rectangular solid
 solve application problems that involve geometric concepts
 Percents
 represent percents using shaded regions of geometric figures
 convert percents to decimals
 convert decimals to percents
 convert fractions to percents
 convert percents to fractions
 find a given percent of a number and related problems
 find a percent increase or decrease
 solve application problems using percentages
 Using a scientific calculator and final preparations for Algebra
 use the calculator to evaluate fraction operations
 use the calculator to evaluate exponents
 use the calculator to evaluate square roots
 use a calculator to evaluate expressions containing real numbers
 read charts and bar graphs
 solve problems requiring an integration of skills learned throughout Basic Mathematics
 solve application problems requiring more difficult calculations
 Review of Prealgebra
 Review four basic operations on whole numbers, fractions and decimals and signed numbers
 Evaluating expressions using the order of operations
 Review simplifying algebraic expressions
 Review solving equations
 Review development and applications of ratios and proportions

Methods of Evaluation  
  Homework
 Quizzes
 Hour Exams
 Final Exam
 Class participation

Representative Text(s)  
 Instructor generated worksheets and practice problems.

Disciplines  
 Mathematics


Method of Instruction  
 Lecture, Discussion, Cooperative learning exercises.


Lab Content  
 Not applicable.


Types and/or Examples of Required Reading, Writing and Outside of Class Assignments  
  Homework Problems: Homework problems covering subject matter from text and related material ranging from 30  60 problems per week. Students will need to employ critical thinking in order to complete assignments.
 Lecture: Five hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
 Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems,write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of a computer algebra system such as Mathematica or MATLAB.
 Worksheets: Problems and activities covering the subject matter. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.
