MATH 041 - Fundamentals in Mathematics and Pre-Algebra
MATH 041
Fundamentals in Mathematics and Pre-Algebra
Disciplines
Mathematics - Basic Skills: noncredit
5.000
0 - May not be repeated
Foundational course, including language development and place value; definitions, concepts and operations on whole numbers, fractions, decimals, ratios, proportions, percentage and signed numbers; U.S. and metric measurement systems; introduction to algebra, rules of exponents, roots, evaluation and simplification of algebraic expressions; solving linear equations and introduction to graphing. Application/word problems throughout the course.
80.000-90.000 Total Hours
0.000 Total Hours
160.000-180.000 Total Hours
80.000-90.000 Total Hours
Prerequisite: None Prerequisite or Corequisite: None Concurrent Corequisite: None Course Advisories: None Limitation on Enrollment: None
Course Objectives:
Demonstrate skills in addition, subtraction, multiplication, and division of whole numbers.
Demonstrate skills in addition, subtraction, multiplication, and division of fractions and decimals.
Illustrate a conceptual understanding of place value in whole numbers and decimals.
Illustrate a conceptual understanding of signed numbers.
Demonstrate skills in addition, subtraction, multiplication and division of signed numbers.
Solve basic ratio and proportion problems, limiting the scope to linear expressions and equations.
Solve basic percent problems, limiting the scope to linear equations.
Solve linear equations.
Solve simple geometric problems involving perimeters, areas, and volumes, limiting the objects to rectangles, triangles, circles, and rectangular prisms (or any such combinations.)
Solve application problems involving the preceding areas.
Convert different units of measurement using the English and metric systems.
Demonstrate skills in rules of exponents.
Student Learning Outcomes
Demonstrate skills in adding, subtracting, multiplying and dividing whole numbers, fractions, decimals, and signed numbers.
Evaluate simple algebraic expressions or formulas, including geometric formulas, given certain values.
Use inverse operations to solve simple linear equations.
Translate basic phrases or word problems into algebraic expressions or equation.
Solve basic geometric problems involving perimeters, areas, or volumes, limiting the scope to linear equations.
Solve basic ratio, proportion, and percent problems, limiting the scope to linear equations.
Use various U.S. and metric systems of measurement.
Graph simple linear equations.
COURSE CONTENT FOR MATH 41:
Whole Numbers
Reading and writing whole numbers.
Place value of whole numbers
Addition of whole numbers
Subtraction of whole numbers
Multiplication of whole numbers
Division of whole numbers including long division
Rounding whole number
Roots of whole numbers
Factors, multiples, and prime factorization of whole numbers.
Least common multiple and greatest common factor of whole numbers.
Properties of Whole numbers
Introduction of exponents
Order of operations
Solving word problems involving whole numbers
Fractions
Basic concepts of fractions
Mixed numbers
Writing a fraction in lowest terms
Multiplication of fractions
Applications of Multiplication
Dividing fractions
Multiplication and Division of Mixed Numbers
Adding and subtracting like fractions
Least common denominators
Adding and subtracting unlike fractions
Adding and subtracting mixed numbers
Order relations and the order of operations
Decimals
Reading and writing decimals
Place value of decimals
Rounding decimals
Addition of decimals
Subtraction of decimals
Multiplication of decimals
Division of decimals
Translating fractions to decimals and decimals to fractions.
Ratio and Proportion
Ratios
Rates
Proportions
Solving proportions (limiting the scope to linear equations)
Applications of proportions (limiting the scope to linear equations)
Percent
Basic concepts of percent
Translating percents to and from fractions.
Translating percents to and from decimals.
Using proportions to solve percent problems (limiting the scope to linear equations)
General applications of percent
Simple interest
Sales Tax, Commissions, and Discounts.
Percent Increase and Decrease
Measurement
The English system (length, volume, and weight)
Denominate numbers
The metric system (length, volume, and weight)
Metric to English and English to Metric conversions
Geometry
Rectangles and squares
Triangles
Circles
Volume of rectangular prisms
Pythagorean Theorem.
Similar triangles (in the context of proportions)
The Real Number System
Definitions of Natural, Whole, Integer, Rational, Irrational numbers, and Real numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication of Real Numbers
Division of Real Numbers
Roots of Real Numbers
Signed Numbers and Order
Addition of Signed numbers
Subtraction of Signed numbers,
Multiplication of Signed numbers
Division of signed numbers
Pre Algebra
Introduction to Variables
Evaluate expressions with one or more variables
Properties of Exponents
Simplifying Algebraic Expressions
Addition, Subtraction and Multiplication of Monomials
Distributive Property with algebraic expressions
The Addition and Multiplication Properties of Equality
Linear Equations in one variable
Applications/Word Problems
Graphing
x and y axes
Quadrants
Point plotting
Using two variable equations to plot points
Methods of Instruction
Directed Study
Discussion
Individualized Instruction
Lab
Lecture
Projects
Lectures, collaborative activities, discussion, tutorial software (such as ALEKS), supplemental handouts or videos. Students are expected to work inside and/or outside of class on assigned projects, supplementary reading and/or videos, tutorial software (such as ALEKS) and/or specified textbook and corresponding exercises.
List all the of the factors of 12.
1) [For courses utilizing ALEKS] Complete Intermediate Objective number 1, from ALEKS, focusing on whole numbers and place value.
2) [For courses utilizing the traditional textbook] Do all the odds at the end of a particular section.
Complete all intermediate objectives assigned through ALEKS OR complete all daily homework assignments.
A student's grade will be based on multiple measures of performance. Such measures will include at least three exams and a comprehensive final examination requiring demonstrations of problem-solving skills. In addition, instructors will make use of quizzes, and written homework assignments to judge a student's mathematical skills and familiarity with mathematical vocabulary. Instructors are required to provide students, in writing, with a course syllabus in accordance with district policy, which will include the specific procedures by which students will be evaluated. These procedures must be consistent with the objectives and course content stated above.
Pre-AlgebraMiller, O'Neill, Hyde, McGraw Hill, 2014