MTH 090. Basic Mathematics. Plan of Instruction

Transcription

1 MTH 090 Basic Mathematics Plan of Instruction COURSE DESCRIPTION: The purpose of this course is to provide students with skills in basic mathematics. Minimum content includes whole numbers, integers, fractions, decimals, ratio proportions, percents, an introduction to algebra. Additional topics may include systems of measurement basic geometry. At the conclusion of this course students are expected to be able to perform basic mathematical operations. CREDIT HOURS Theory Credit Hours Lab Credit Hours Total Credit Hours -4 hours 0 hours -4 hours NOTE: Theory credit hours are a : contact to credit ratio. Colleges may schedule lab hours as : /or : contact to credit ratio. Clinical hours are : contact to credit ratio. (Ref Board Policy 705.0) This course produces institutional, non-transferable credit only will not satisfy the requirements for degrees certificates. Alabama Community College System Copyright 06

2 PREREQUISITE COURSES Appropriate mathematics placement score CO-REQUISITE COURSES As determined by college. COMPETENCIES Perform mathematical operations using whole numbers. Perform mathematical operations using integers. Perform mathematical operations using fractions. Perform mathematical operations using decimals. Apply ratio proportion to problem solving. Apply percents to problem solving. Apply basic concepts of algebra. INSTRUCTOR NOTE: Module H Systems Measurement Module I Basic Geometry are optional modules. Instructors may teach these modules as they determine to be appropriate. INSTRUCTIONAL GOALS Cognitive Students will develop knowledge to perform various mathematical operations. Performance There are no performance objectives directly associated with this course. Affective There are no affective objectives directly associated with this course. ACCS Copyright 06

3 STUDENT LEARNING OUTCOMES MODULE A WHOLE NUMBERS COMPETENCY A.0 - Perform mathematical operations using whole numbers. A. Define terms associated with whole numbers. A. Determine place value for a given digit. A. Round whole numbers to a given place value. A.4 Convert between stard notation exped notation. A.5 Perform basic mathematical operations. A.6 Convert between exponential notation exped form. A.7 Evaluate exponential expressions. A.8 Simplify expressions using order of operations. A.9 Calculate simple averages. A.0 Solve application problems using operations with whole numbers. MODULE A TOPICS Place value Rounding Stard notation Basic operation Add Subtract Multiply Divide Estimations Introduction to exponents Order of operations Averages ACCS Copyright 06

4 MODULE B INTEGERS COMPETENCY B.0 Perform mathematical operations using integers. B. Define terms associated with integers. B. Determine relative order of integers. B. Determine absolute value of integers. B.4 Perform mathematical operations using integers. B.5 Simplify expressions involving integers using order of operations. B.6 Solve application problems involving integers. MODULE B TOPICS Compare order Absolute value Basic operations Order of operations MODULE C - FRACTIONS COMPETENCY C.0 - Perform mathematical operations using fractions. C. Define terms associated with fractions. C. Express a composite number as the product of its prime factors. C. Determine the least common multiple of a set of numbers. C.4 Apply rules of divisibility to determine factors. C.5 Determine relative order of fractions. C.6 Reduce fractions to the simplest or lowest form. C.7 Convert between improper fractions mixed numbers. C.8 Perform mathematical operations using fractions mixed numbers. C.9 Simplify expressions involving fractions using order of operations. C.0 Solve application problems involving fractions. MODULE C OUTLINE Prime factorization Multiples divisibility Compare order Simplifying Mixed numbers Basic operations Order of operations ACCS Copyright 06 4

5 MODULE D - DECIMALS COMPETENCY D.0 - Perform mathematical operations using decimals. D. Define terms associated with decimals. D. Determine place value for a given digit. D. Determine relative order of decimals. D.4 Round a decimal to a given place value. D.5 Convert between fractions decimals. D.6 Perform mathematical operations using decimals. D.7 Simplify expressions involving decimals using order of operations. D.8 Solve application problems involving decimals. MODULE D TOPICS Place value Compare order Rounding Converting fractions decimals Basic operations MODULE E RATIO AND PROPORTION COMPETENCY E.0 - Apply ratio proportion to problem solving. E. Define terms associated with ratio proportion. E. Express ratios in various forms. E. Simplify ratios. E.4 Express the ratio of two different measures as a rate. E.5 Determine whether ratios form a proportion. E.6 Solve for the unknown in proportions. E.7 Solve application problems involving ratio proportion. MODULE E OUTLINE Expressing ratios Rates unit fractions Solving proportions ACCS Copyright 06 5

6 MODULE F PERCENTS COMPETENCY F.0 Apply percents to problem solving. F. Define terms associated with percents. F. Convert among fractions, decimals, percents. F. Solve problems involving percents. F.4 Solve application problems involving percents. MODULE F TOPICS Converting among fractions, decimals, percents Solving problems involving percents MODULE G INTRODUCTION TO ALGEBRA COMPETENCY G.0 Apply basic concepts of algebra. G. Define terms associated with algebra. G. Evaluate variable expressions. G. Simplify variable expressions. G.4 Solve one step equations. MODULE G TOPICS Variable expressions Evaluate Simplify One step equations ACCS Copyright 06 6

7 MODULE H SYSTEMS OF MEASUREMENT COMPETENCY H.0 Apply systems of measurement. H. Define terms associated with systems of measurement. H. Convert within customary system of measurement. H. Convert within metric system of measurement. H.4 Solve application problems involving systems of measurement. MODULE H OUTLINE Customary Metric Converting within systems MODULE I BASIC GEOMETRY COMPETENCY I.0 Apply basic concepts of geometry. I. Define terms associated with geometry. I. Find the area perimeter of various geometric figures. I. Solve application problems involving geometry. MODULE I OUTLINE Area, perimeter, circumference of geometric figures Parallelograms Triangles Circles ACCS Copyright 06 7

8 LEARNING OUTCOMES TABLE OF SPECIFICATIONS The table below identifies the percentage of learning objectives for each module. Instructors should develop sufficient numbers of test items at the appropriate level of evaluation. Limited Moderate Advanced Superior 4 Module A 0% 80% 0% Module B 7% 66% 7% Module C 0% 80% 0% Module D % 75% % Module E 4% 7% 4% Module F 5% 50% 5% Module G 5% 50% 5% Module H 5% 50% 5% Module I % % % ACCS Copyright 06 8

9 Indicator Key Terms 4 A Limited Moderate Advanced Superior Affective Objective Learner s, Skills Abilities Description Recognize basic information about the subject including terms nomenclature. Students must demonstrate ability to recall information such as facts, terminology or rules related to information previously taught. Performs simple parts of the competency. Student requires close supervision when performing the competency. Distinguish relationships between general principles facts. Adopts prescribed methodologies concepts. Students must demonstrate understing of multiple facts principles their relationships, differentiate between elements of information. Students state ideal sequence for performing task. Performs most parts of the competency with instructor assistance as appropriate. Examines conditions, findings, or other relevant data to select an appropriate response. The ability to determine why when a particular response is appropriate predict anticipated outcomes. Students demonstrate their ability to seek additional information incorporate new findings into the conclusion justify their answers. Performs all parts of the competency without instructor assistance. Assessing conditions, findings, data, relevant theory to formulate appropriate responses develop procedures for situation resolution. Involves higher levels of cognitive reasoning. Requires students to formulate connections between relevant ideas observations. Students apply judgments to the value of alternatives select the most appropriate response. Can instruct others how to do the competency. Performs competency quickly accurately. Describes learning objectives that emphasize a feeling tone, an emotion, or a degree of acceptance or rejection. Objectives vary from simple attention to selected phenomena to complex but internally consistent qualities of character conscience. Expressed as interests, attitudes, appreciations, values, emotional sets or biases. ACCS Copyright 06 9