  
Student Learning Outcomes 
 Apply operations with whole numbers, fractions, decimals, and mixed numbers to real world problems and interpret the answer in context.
 Convert between whole numbers, fractions, mixed numbers, and decimals.
 Without a calculator, perform the order of operations to find the value of an expression involving whole numbers, fractions, decimals, and/or signed numbers.

Description  
 Addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations.


Course Objectives  
 The student will be able to:
 identify whole number and decimal place values
 write whole numbers and decimals in words
 write whole numbers and decimals using expanded notation
 round whole numbers, fractions, and decimals
 represent whole numbers, fractions, decimals, and signednumbers on the numberline
 perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
 compare 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 and mixed numbers 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 and fractions
 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
 evaluate rational square roots
 discuss arithmetic of whole numbers, decimals fractions and signed numbers and algebra of expressions and equations using proper vocabulary
 use arithmetic operations to solve problems, including those found in diverse fields

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)  
  whole numbers and operations without a calculator
 arithmetic facts (sums and products of single digit numbers)
 identify whole number place values
 write whole numbers in words
 write whole numbers using expanded notation
 represent whole numbers on the numberline
 compare the sizes of whole numbers
 add whole numbers
 subtract whole numbers
 multiply whole numbers
 divide whole numbers
 estimate sums, differences, products and quotients of whole numbers
 verify sums, differences, products and quotients of whole numbers
 use order of operations to evaluate expressions with whole numbers
 round whole numbers
 discuss arithmetic of whole numbers using proper vocabulary
 solve application problems requiring whole number arithmetic
 fractions and mixed numbers and operations without a calculator
 represent fractions and mixed numbers using shaded regions of geometric figures
 find the greatest common factor of a list of numbers
 reduce fractions to lowest terms
 recognize equivalent fractions
 multiply fractions
 divide fractions
 write equivalent fractions with a given denominator
 represent fractions and mixed numbers on a numberline
 compare the sizes of fractions and mixed numbers
 find the least common multiple of a list of numbers
 add and subtract fractions with like denominator
 add and subtract fractions with unlike denominators
 multiply and divide mixed number
 add and subtract mixed numbers
 use order of operations to evaluate expressions with fractions and mixed numbers
 discuss arithmetic of fractions using proper vocabulary
 estimate sums, differences, products and quotients of mixed numbers
 solve application problems requiring fractional arithmetic
 decimals and operations without a calculator
 identify decimal place values
 compare the sizes of decimal numbers
 write decimal numbers using words
 write decimal numbers using expanded notation
 write decimal numbers as fractions
 add decimal numbers
 subtract decimal numbers
 multiply decimal numbers
 divide decimal numbers
 use order of operations to evaluate expressions with decimal numbers
 write fractions as decimals
 compare the sizes of decimal numbers and fractions
 estimate sums, differences, products and quotients of decimal numbers.
 round decimal numbers
 discuss arithmetic of decimal numbers using proper vocabulary
 solve application problems requiring decimal number arithmetic
 Real numbers and operations without a calculator
 identify sets of numbers contained within the real numbers
 identify opposite and absolute value of real numbers
 represent signed numbers on a numberline
 compare the sizes of real numbers
 add real numbers
 subtract real numbers
 multiply real numbers
 divide real numbers
 identify and use of the commutative, associative, and distributive properties of addition and multiplication
 use square root notation and evaluate square roots
 use order of operations to evaluate expressions with real numbers
 discuss arithmetic of real numbers using proper vocabulary
 solve application problems requiring rational number arithmetic

Methods of Evaluation  
  Homework
 Software Assessments
 Hour Exams
 Final Exam
 Class participation

Representative Text(s)  
 Baratto, Bergman, Hutchison, Basic Mathematical Skills with Geometry USA, McGrawHill Higher Education, 2010. Baratto, Bergman, Hutchison, Prealgebra, Media Enhanced, 3rd ed. USA, McGrawHill Higher Education, 2010.

Disciplines  
 Mathematics


Method of Instruction  
  Short lectures emphasizing key concepts.
 Solving practice problems individually or in groups using paper and pencil.


Lab Content  
  Assessments and practice using online software covering addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations.
 Written review worksheets covering addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations.
 Develop study skills strategies specific to mathematics
 Editing and revising written work covering addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations to improve format.


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 50  100 problems per week.
Students will need to employ critical thinking in order to complete assignments. Lecture: Four hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.Laboratory: 6 hours lab exercises. Exercises include individual or group participation, computer software applications, and covers assigned reading and lecture topics.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.
