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Effective: Fall 2012
MATH 230PREPARING FOR ALGEBRA: LINEAR EQUATIONS, PROPORTIONS & GEOMETRY6 Unit(s)

Prerequisites: Prerequisite: MATH 235.
Advisory: Advisory: Not open to students with credit in MATH 200 or 230J.
Grade Type: Pass/No Pass
Not Repeatable.
FHGE: Non-GE Transferable: None
4 hours lecture, 6 hours laboratory. (120 hours total per quarter)

Student Learning Outcomes -
  • Write a linear equation to represent a real world application, and interpret the solution in context.
  • Apply geometric formulas to solve applications involving perimeter, area, and volume.
  • Apply knowledge of proportional reasoning and percent to real applications.
  • Solve a linear equation (in one variable) containing rational coefficients and grouping symbols.
Description -
Review of order of operations with rational numbers. Introduction to algebraic concepts including solving first-degree equations and evaluating and simplifying expressions. Development and applications of ratios, proportions, percents, and geometric concepts.

Course Objectives -
The student will be able to:
  1. Perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
  2. Compare real numbers
  3. Use order of operations to evaluate expressions with whole numbers, fractions, decimals and signed-numbers
  4. Perform conversions between decimals, fractions and percentages
  5. Identify and use the properties (commutative, associative, distributive) of real numbers with algebraic expressions
  6. Evaluate square roots and use the Pythagorean Theorem
  7. Evaluate expressions using replacement values for the variables.
  8. Simplify expressions by combining like terms.
  9. Solve linear equations in one variable, including identities and contradictions.
  10. Discuss arithmetic of whole numbers, decimals fractions and signed numbers and algebra of expressions and equations using proper vocabulary.
  11. Use arithmetic and equations to solve problems, including those found in diverse fields.
  12. Use ratios, rates, and proportions, and percentages to solve problems, including applications found in diverse fields.
  13. Find perimeter, area and volume of geometric figures.
  14. Use a scientific calculator.
  15. Discuss mathematical problems and write solutions in accurate mathematical language and notation.
  16. Interpret mathematical solutions.
Special Facilities and/or Equipment -
  1. Software capable of generating multimedia presentations of course content, algorithmically generated practice problems, and tutorial assistance.
  2. Internet Access.

Course Content (Body of knowledge) -
  1. Review of Real numbers and operations without a calculator
    1. Identify and use of the commutative, associative, and distributive properties
    2. Use square root notation and evaluate square roots
    3. Use order of operations to evaluate expressions with real numbers
    4. Discuss arithmetic of real numbers using proper vocabulary
  2. Expressions and equations with integer coefficients and values for variables without a calculator
    1. Identify and distinguish between expression, equations, terms and factors
    2. Evaluate expressions using replacement values for the variables
    3. Identify like terms
    4. Use the distributive property
    5. Simplify expressions by combining like terms
    6. Solve equations where the right hand side and left hand side are simplified expressions using the addition, subtraction, multiplication and division property of equations
    7. Discuss simplification of expressions and solving equations using proper vocabulary
    8. Solve application problems using equations
  3. Expressions and equations with real number coefficients and values for variables without a calculator
    1. Simplify expressions by combining like terms
    2. Evaluate expressions using replacement values for the variables
    3. Solve equations with fractional coefficients
    4. Solve equations with decimal coefficients
    5. Solve equations that require simplifications
    6. Identify equations that are identities and contradictions.
    7. Solve application problems using equations
  4. Ratios, rates and proportions with calculator
    1. Distinguish between ratios, rates and proportions
    2. Write ratios in different forms
    3. Simplify ratios and rates
    4. Determine whether two ratios are proportional
    5. Write unit rates and use them to compare prices
    6. Solve a proportion
    7. Solve application problems using proportions and similar triangles
  5. Percents with a calculator
    1. Represent percents using shaded regions of geometric figures
    2. Convert percents to decimals
    3. Convert decimals to percents
    4. Convert fractions to percents
    5. Convert percents to fractions
    6. Find a given percent of a number and related problems
    7. Find a percent increase or decrease
    8. Solve application problems using percentages
  6. Geometric figures / area and perimeter
    1. Identify basic geometric figures
    2. Find the perimeter of a polygon
    3. Find the area of a polygon
    4. Find the circumference and area of a circle
    5. Use the Pythagorean theorem to find the missing side length of a right triangle
    6. Find the surface area and volume of rectangular solid
    7. Solve application problems that involve geometric concepts
  7. Using a scientific calculator and final preparations for Algebra
    1. Use the calculator to evaluate fraction operations
    2. Use the calculator to evaluate exponents
    3. Use the calculator to evaluate square roots
    4. Use a calculator to evaluate expressions containing real numbers
    5. Solve problems requiring an integration of skills learned throughout Basic Mathematics.
    6. Solve application problems requiring more difficult calculations
Methods of Evaluation -
  1. Homework
  2. Software assessments
  3. Hour Exams
  4. Final Exam
  5. Class participation
Representative Text(s) -
Baratto, Bergman, Hutchison, Prealgebra, Media Enhanced, 3rd ed. USA, McGraw-Hill Higher Education, 2010.
Baratto, Bergman, Hutchison, Basic Mathematical Skills with Geometry, USA, McGraw-Hill Higher Education, 2010.

Disciplines -
Mathematics
 
Method of Instruction -
Lecture, Discussion, Cooperative learning exercises.
 
Lab Content -
  1. Assessments and practice using online software covering order of operations with rational numbers, introduction to algebraic concepts including solving first-degree equations and evaluating and simplifying expressions, development and applications of ratios, proportions, percents, and geometric concepts.
  2. Written review worksheets covering order of operations with rational numbers, introduction to algebraic concepts including solving first-degree equations and evaluating and simplifying expressions, development and applications of ratios, proportions, percents, and geometric concepts.
  3. Develop study skills strategies specific to mathematics
  4. Editing and revising written work to improve format.
 
Types and/or Examples of Required Reading, Writing and Outside of Class Assignments -
  1. 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.
  2. 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.
  3. Laboratory: 6 hours lab exercises. Exercises include individual or group participation, computer software applications, and covers assigned reading and lecture topics.
  4. 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.