Blue Mountain Academy
Basic Math For Adults

BMA Basic Math
Course Outline and Overview

• Basic Math Syllabus

Materials Needed:

• Calculator
• Compass
• Protractor
• Pencil
• Eraser
• Paper

Welcome to Basic Math For Adults. Basic Math For Adults is a 17 chapter program to help review and polish basic math skills. The student who successfully completes the entire program, should be ready for pre–algebra or algebra. The program lends itself either to individualized work or to group instruction. Beginning chapters include very basic reviews in working with whole numbers and basic operations, and moves through chapters on integers, basic geometry, consumer math, and statistics and proportions.

Grade is based on: Homework 40% Quizzes 30% Final Exam 30%

Grading Scale A 93-100% C 73-76% A- 90-92% C- 70-72% B+ 87-89% D+ 67-69% B 83-86% D 63-66% B- 80-82% D- 60-62% C+ 77-79% F < 59%

Basic Math For Adults includes a number of features.For nearly every lesson, there is a five question Daily Quiz. Each chapter also includes a pre-assessment test, a final chapter test, and a “Maintaining Your Skills” section. Also included in the program are a set of basic facts drill sheets.

Pre-assessment Tests – – For each of the 17 units, there is a prepared pre-assessment test. The design of this pre-assessment is to let you, as the teacher, know the needs of each individual student. If a student has strength in an area, he/she just as well move past certain lessons, or even an entire unit. The tests are designed so that the instructor can make a quick diagnosis of strengths and weakness for the upcoming unit. There are four questions from each lesson. (Unit 14 – Geometry, is the one exception to this.) If the student answers all four of the questions pertaining to a particular lesson correctly, that would normally indicate the student has a good understanding of that concept, and need not spend much additional time with the lesson. If the student does not demonstrate proficiency on the pre-assessment, it would make sense to do the lessons where the student is weak. Calculators should not be used on a pre-assessment test. (Calculators may be used on Unit 14 – Geometry, Unit 16 – Consumer Math, and/or Unit 17 – Proportions, Statistics, and Square Roots. This is left up to the discretion of the instructor.)

Basic Facts – One of the biggest frustrations students have in basic math is their inability to do the basic facts of addition, subtraction, multiplication, and division. Failure to have a good grasp on basic facts slows a student down, decreases accuracy, and makes the math experience drudgery. Basic facts constitute the very foundation of everything a student does as he advances in math.

Basic Math For Adults includes- Drill sheets for the four basic operations (the sheets for multiplication and addition are interchangeable). There are 100 facts on each sheet (90 on the division sheets). It is suggested that the student work each day on the drill sheets in the beginning stages of the program. A realistic goal for the student is to complete the facts sheets in two minutes with 100% accuracy.

Drilling basic facts can be pretty dull. It is important for the student to know that he is progressing. Goal setting and charting progress are two valuable tools in keeping students motivated.

Daily Quizzes – There is a quiz to follow nearly every lesson in the program. There are five questions on each quiz. The first four questions deal with the lesson that has just been completed. The fifth question is normally a review question from an earlier lesson or unit. It is suggested that these quizzes be done independently after the lesson has been corrected and any problems answered for the student. This is an excellent means for the instructor to evaluate progress. If the student does not do well on the quiz, it will be obvious that more time needs to be spent working on that particular concept. Answer Keys for each quiz are included on the final page of each unit’s set of quizzes.

Answer Keys – The answers for each lesson are included in a special section called Answer Keys. These include the keys for the tests and the Maintaining Your Skills sections.

Post tests – There is a post test for each unit to be given at the conclusion of the unit. This should be completed independently and is intended as a means to allow the instructor to evaluate the students’ mastery of the concepts presented in the unit. Similar problems are generally grouped together, so it is easy to determine weak areas that the student may need to review.

Maintaining Your Skills – The last lesson in each unit (with the exception of Unit 1) is a Maintaining Your Skills lesson. These should be completed after the unit test has been taken. There are a variety of formats used in these review exercises; occasionally they may be in a multiple choice format or they may all be word problems. The final lesson in Unit 17, for example, is patterned after a GED test. It is often easy to skip over the review lessons. It is suggested that these review lessons be treated with the same importance as any other lesson.

Using Calculators – Each instructor may have different feelings about the use of calculators. My suggestion is that calculators not be used, especially in the units on basic operations, decimals, fractions, and percents. It may be appropriate to use calculators on the chapters on geometry, consumer math, and statistics. Again, this is left up to the individual teacher.

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Basic Math Course Syllabus Overview
Unit 1 – Whole Numbers
Assignments	Topic
Pre Unit Test.....................................................	Whole Numbers
01-01................................................................	Place Value
01-02................................................................	Expanded Form
01-03................................................................	Reading and Writing Whole Numbers
01-04................................................................	Comparing Numbers
01-05................................................................	Sequencing and “Odd and Even Numbers”
01-06................................................................	Rounding Whole Numbers
01-07................................................................	Parenthesis
01-08................................................................	Working With Money
01-09................................................................	Chapter Review
Post Unit Test....................................................	Whole Numbers
BMA Unit 2 – Addition
Pre Unit Test.....................................................	Addition
02-01................................................................	Introduction and Basic Facts
02-02................................................................	Adding a Column of Digits
02-03................................................................	Addition: Word Problems
02-04................................................................	Adding Two or Three Columns
02-05................................................................	Adding Larger Numbers with More Than Two Rows
02-06................................................................	Adding Two Digits With Renaming (carrying)
02-07................................................................	Adding Larger Numbers With Renaming (carrying)
02-08................................................................	Adding Larger Numbers With More Than Two Rows
02-09................................................................	Estimating in Addition
02-10................................................................	Adding Money
02-11................................................................	Chapter Review
02-12................................................................	Maintaining Your Skills
Post Unit Test....................................................	Addition
BMA Unit 3 – Subtraction
Pre Unit Test.....................................................	Subtraction
03-01................................................................	Introduction and Basic Facts
03-02................................................................	Subtracting Two Digit Numbers
03-03................................................................	Subtraction: Word Problems
03-04................................................................	Checking Subtraction Problems
03-05................................................................	Subtracting Larger Numbers
03-06................................................................	Subtracting With Renaming (borrowing)
03-07................................................................	Subtracting Larger Numbers With One Renaming (borrowing)
03-08................................................................	Subtracting Numbers With More Than One Renaming
03-09................................................................	Subtracting With Renaming (borrowing) Zeros
03-10................................................................	Estimating in Subtraction
03-11................................................................	Subtracting Money
03-12................................................................	Chapter Review
03-13................................................................	Maintaining Your Skills
03-14................................................................	Finding the Missing Number In an Equation
Post Unit Test....................................................	Subtraction
BMA Unit 4 – Multiplication
Pre Unit Test.....................................................	Multiplication
04-01................................................................	Introduction and Basic Facts
04-02................................................................	Multiplying by One Digit
04-03................................................................	Multiplying by One Digit With Renaming (carrying)
04-04................................................................	Multiplying by One Digit With More Than One Renaming
04-05................................................................	Multiplication: Word Problems
04-06................................................................	Multiplying by Multiples of Ten
04-07................................................................	Multiplying by Two Digits
04-08................................................................	More Practice multiplying by Two Digits
04-09................................................................	Multiplying by 10, 100, or 1000
04-10................................................................	Multiplying by Three Digits
04-11................................................................	Estimating in Multiplication
04-12................................................................	Multiplying Money
04-13................................................................	Word Problems
04-14................................................................	Chapter Review
04-15................................................................	Maintaining Your Skills
Post Unit Test....................................................	Multiplication
BMA Unit 5 – Division
Pre Unit Test.....................................................	Division
05-01................................................................	Introduction
05-02................................................................	Basic Facts
05-03................................................................	One-Digit Division With Remainders
05-04................................................................	Two, Three, and Four Digit Quotients With No Remainders
05-05................................................................	Two, Three, and Four Digit Quotients With Remainders
05-06...............................................................	Zeros in the Quotients
05-07................................................................	Checking a Division Problem For Accuracy
05-08................................................................	Division: Word Problems
05-09................................................................	Dividing by Multiples of Ten
05-10................................................................	Two-Digit Divisors
05-11................................................................	More Division With Two-Digit Divisors
05-12................................................................	More Practice With Two-Digit Divisors
05-13................................................................	Three-Digit Divisors
05-14................................................................	Dividing Money
05-15................................................................	Word Problems
05-16................................................................	Finding the Average
05-17................................................................	Chapter Review
05-18................................................................	Maintaining Your Skills
Post Unit Test...................................................	Division
BMA Unit 6 – Decimals
Pre Unit Test.....................................................	Decimals
06-01................................................................	Decimal Place Value
06-02................................................................	Reading and Writing Decimals
06-03................................................................	The Decimals Chart
06-04................................................................	Simplifying Decimals
06-05................................................................	Comparing Decimals
06-06................................................................	Rounding Decimals
06-07................................................................	Adding Decimals
06-08................................................................	Subtracting Decimals
06-09................................................................	Multiplying Decimals
06-10................................................................	Dividing Decimals by Whole Numbers
06-11................................................................	Dividing by Decimals
06-12................................................................	Rounding Decimals in the Quotient
06-13................................................................	Multiplying and Dividing by Powers of Ten
06-14................................................................	Word Problems
06-15................................................................	Chapter Review
06-16................................................................	Maintaining Your Skills
Post Unit Test....................................................	Decimals
BMA Unit 7 – Metric Measurement
Pre Unit Test.....................................................	Metric Measurement
07-01................................................................	Introduction to Metrics
07-02................................................................	Distance (Length)
07-03................................................................	Volume (Capacity)
07-04................................................................	Mass (Weight)
07-05................................................................	Perimeter
07-06................................................................	Area
07-07................................................................	Converting from Metrics to Standard Measurement and Vice Versa
07-08................................................................	Word Problems
07-09................................................................	Chapter Review
07-10................................................................	Maintaining Your Skills
Post Unit Test....................................................	Metric Measurement
BMA Unit 8 – Number Theory
Pre Unit Test.....................................................	Number Theory
08-01................................................................	Factors
08-02................................................................	Rules of Divisibility, Part 1
08-03................................................................	Rules of Divisibility, Part 2
08-04................................................................	Rules of Divisibility, Part 3
08-05................................................................	Greatest Common Factor
08-06................................................................	Prime and Composite Numbers
08-07................................................................	Other Ways to Write Multiplication
08-08................................................................	Prime Factorization
08-09................................................................	Exponents
08-10................................................................	Using Exponents to Write Prime Factors
08-11................................................................	Using Exponents to Write Expanded Form
08-12................................................................	Multiples
08-13................................................................	Least Common Multiples
08-14................................................................	Chapter Review
08-15................................................................	Maintaining Your Skills
Post Unit Test....................................................	Number Theory
BMA Unit 9 – Adding and Subtracting Fractions
Pre Unit Test.....................................................	Adding and Subtracting Fractions
09-01................................................................	Introduction to Fractions
09-02................................................................	Equivalent Fractions
09-03................................................................	Adding and Subtracting Like Fractions
09-04................................................................	Reducing Fractions
09-05................................................................	Adding and Subtracting Fractions With Reducing
09-06................................................................	Adding and Subtracting Mixed Numbers
09-07................................................................	Changing Improper Fractions to Mixed Numbers
09-08................................................................	More With Adding Fractions
09-09................................................................	More With Adding Mixed Numbers
09-10................................................................	Changing Mixed Numbers to Improper Fractions
09-11................................................................	Subtracting Fractions With Renaming (borrowing)
09-12................................................................	Finding the Common Denominator
09-13................................................................	Comparing Fractions by Finding the Common Denominator
09-14................................................................	Adding and Subtracting Unlike Fractions
09-15................................................................	Adding Mixed Numbers With Unlike Fractions
09-16................................................................	Subtracting Mixed Numbers With Unlike Fractions
09-17................................................................	Word Problems
09-18................................................................	Chapter Review
09-19................................................................	Maintaining Your Skills
Post Unit Test...................................................	Adding and Subtracting Fractions
BMA Unit 10 – Charts and Graphs
Pre Unit Test.....................................................	Charts and Graphs
10-01................................................................	Reading a Chart
10-02................................................................	Frequency Tables
10-03................................................................	Pictographs
10-04................................................................	Bar Graphs
10-05................................................................	Line Graphs
10-06................................................................	Circle Graphs
10-07................................................................	Chapter Review
10-08................................................................	Maintaining Your Skills
Post Unit Test....................................................	Charts and Graphs
BMA Unit 11 – Multiplying and Dividing Fractions
Pre Unit Test.....................................................	Multiplying and Dividing Fractions
11-01................................................................	Multiplying Fractions
11-02................................................................	Canceling
11-03................................................................	Multiplying Fractions by a Whole Number
11-04................................................................	Multiplying Mixed Numbers
11-05................................................................	Dividing Fractions
11-06................................................................	Dividing Fractions and Whole Numbers
11-07................................................................	Dividing Mixed Numbers
11-08................................................................	Word Problems
11-09................................................................	Chapter Review
11-10................................................................	Maintaining Your Skills
Post Unit Test...................................................	Multiplying and Dividing Fractions
BMA Unit 12 – Standard Measurement
Pre Unit Test.....................................................	Standard Measurement
12-01................................................................	Standard Measurement Introduction
12-02................................................................	Distance
12-03................................................................	Volume
12-04................................................................	Mass and Time
12-05................................................................	Converting Standard Measurements
12-06................................................................	More With Converting Standard Measurements
12-07................................................................	Working With Standard Measurements, Adding and Subtracting
12-08................................................................	Working With Standard Measurements, Multiplying and Dividing
12-09................................................................	Measurement Word Problems
12-10................................................................	Time: The 24-Hour Clock
12-11................................................................	Converting Minutes to Hours and Hours to Minutes
12-12................................................................	Adding and Subtracting Time
12-13................................................................	Elapsed Time
12-14................................................................	Time Zones
12-15................................................................	Chapter Review
12-16................................................................	Maintaining Your Skills
Post Unit Test....................................................	Standard Measurement
BMA Unit 13 – Percent
Pre Unit Test.....................................................	Percent
13-01................................................................	Changing Decimals to Fractions
13-02................................................................	Changing Fractions to Decimals
13-03................................................................	What is Percent
13-04................................................................	Writing Percents as Decimals
13-05................................................................	Writing Decimals as Percents
13-06................................................................	Writing Percents as Fractions
13-07................................................................	Changing Fractions to Percents
13-08................................................................	Changing Fractions to Decimals to Percents
13-09................................................................	Finding the Percent One Number Is of Another
13-10................................................................	Finding a Percent of a Number
13-11................................................................	Finding the Original Number
13-12................................................................	Three Cases of Percents; or putting it all together
13-13................................................................	Putting It All Together One More Time
13-14................................................................	Percent of Increase and Decrease
13-15................................................................	Chapter Review
13-16................................................................	Maintaining Your Skills; Operations Combining Fractions and Decimals
Post Unit Test....................................................	Percent
BMA Unit 14 – Geometry
Pre Unit Test.....................................................	Geometry
14-01................................................................	Lines
14-02................................................................	Angles
14-03................................................................	Measuring Angles
14-04................................................................	Polygons
14-05................................................................	Quadrilaterals
14-06................................................................	Area of a Parallelogram
14-07................................................................	Classifying Triangles
14-08................................................................	Area of a Triangle
14-09................................................................	Congruent and Similar
14-10................................................................	Parts of a Circle and Figuring Circumference
14-11................................................................	Area of a Circle
14-12................................................................	Complex Figures
14-13................................................................	Volume
14-14................................................................	Cylinders
14-15...............................................................	Surface Area
14-16................................................................	Chapter Review
14-17................................................................	Maintaining Your Skills
Post Unit Test....................................................	Geometry
BMA Unit 15 – Integers
Pre Unit Test.....................................................	Integers
15-01................................................................	Introduction
15-02................................................................	Adding Integers
15-03................................................................	Subtracting Integers
15-04................................................................	Solving Integer Equations: Addition and Subtraction
15-05................................................................	Word Problems
15-06................................................................	Multiplying and Dividing Integers
15-07................................................................	Solving Integer Equations: Multiplying and Dividing
15-08................................................................	More Practice With Integers
15-09................................................................	Translating Sentences Into Equations
15-10................................................................	Chapter Review
15-12................................................................	Maintaining Your Skills
Post Unit Test...................................................	Integers
BMA Unit 16 – Consumer Math
Pre Unit Test.....................................................	Consumer Math
16-01................................................................	Hour Wages
16-02................................................................	Salary
16-03................................................................	Commission
16-04................................................................	Sales Tax
16-05................................................................	Comparison Shopping
16-06................................................................	Markdown or Discount
16-07................................................................	Personal Budgets
16-08................................................................	Checking Accounts
16-09................................................................	Reconciling Your Checking Account
16-10................................................................	Savings Accounts
16-11................................................................	Credit Cards
16-12................................................................	Installment Loans
16-13................................................................	The Stock Market
16-14................................................................	Chapter Review
16-15................................................................	Maintaining Your Skills
Post Unit Test....................................................	Consumer Math
BMA Unit 17 – Proportions, Statistics, and Square Roots
Pre Unit Test.....................................................	Proportions, Statistics, and Square Roots
17-01................................................................	Ratio
17-02................................................................	Proportion
17-03................................................................	Using Proportions to Solve Word Problems
17-04................................................................	Rate
17-05................................................................	The Counting Principle
17-06................................................................	Probability • Chance
17-07................................................................	Mean and Median
17-08................................................................	Mode and Range
17-09................................................................	Statistics: Putting It All Together
17-10................................................................	Square Roots
17-11................................................................	Roman Numerals
17-12................................................................	Chapter Review
17-13................................................................	Maintaining Your Skills
Post Unit Test....................................................	Proportions, Statistics, and Square Roots

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