  
Student Learning Outcomes 
 Students will apply their learning to application problems involving linear equations, ratios and proportions, percents, and geometric perimeters, areas, and volumes.
 Students will develop conceptual understanding of linear equations, ratios and proportions, percents, and geometric perimeters, areas, and volumes. They will demonstrate and communicate this understanding in a variety of ways, such as: reasoning with definitions, connecting concepts, and connecting multiple representations, as appropriate.
 Students will demonstrate the ability to solve linear equations, proportions, and percent problems and apply geometric formulas to compute perimeter, area, and volume.

Description  
 Review of order of operations with rational numbers. Introduction to algebraic concepts including solving firstdegree equations and evaluating and simplifying expressions. Development and applications of ratios, proportions, percents, and geometric concepts.


Course Objectives  
 The student will be able to:
 Perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
 Compare real numbers
 Use order of operations to evaluate expressions with whole numbers, fractions, decimals and signednumbers
 Perform conversions between decimals, fractions and percentages
 Identify and use the properties (commutative, associative, distributive) of real numbers with algebraic expressions
 Evaluate square roots and use the Pythagorean Theorem
 Evaluate expressions using replacement values for the variables.
 Simplify expressions by combining like terms.
 Solve linear equations in one variable, including identities and contradictions.
 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.
 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)  
  Review of Real numbers and operations without a calculator
 Identify and use of the commutative, associative, and distributive properties
 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
 Expressions and equations with integer coefficients and values for variables without a calculator
 Identify and distinguish between expression, equations, terms and factors
 Evaluate expressions using replacement values for the variables
 Identify like terms
 Use the distributive property
 Simplify expressions by combining like terms
 Solve equations where the right hand side and left hand side are simplified expressions using the addition, subtraction, multiplication and division property of equations
 Discuss simplification of expressions and solving equations using proper vocabulary
 Solve application problems using equations
 Expressions and equations with real number coefficients and values for variables without a calculator
 Simplify expressions by combining like terms
 Evaluate expressions using replacement values for the variables
 Solve equations with fractional coefficients
 Solve equations with decimal coefficients
 Solve equations that require simplifications
 Identify equations that are identities and contradictions.
 Solve application problems using equations
 Ratios, rates and proportions with calculator
 Distinguish between ratios, rates and proportions
 Write ratios in different forms
 Simplify ratios and rates
 Determine whether two ratios are proportional
 Write unit rates and use them to compare prices
 Solve a proportion
 Solve application problems using proportions and similar triangles
 Percents with a calculator
 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
 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
 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
 Solve problems requiring an integration of skills learned throughout Basic Mathematics.
 Solve application problems requiring more difficult calculations

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

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

Disciplines  
 Mathematics


Method of Instruction  
 Lecture, Discussion, Cooperative learning exercises.


Lab Content  
  Assessments and practice using online software covering order of operations with rational numbers, introduction to algebraic concepts including solving firstdegree equations and evaluating and simplifying expressions, development and applications of ratios, proportions, percents, and geometric concepts.
 Written review worksheets covering order of operations with rational numbers, introduction to algebraic concepts including solving firstdegree equations and evaluating and simplifying expressions, development and applications of ratios, proportions, percents, and geometric concepts.
 Develop study skills strategies specific to mathematics
 Editing and revising written work 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 40  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.
