Note:  This document has been excerpted or adapted from its original format for functional and consistency purposes within the warehouse.  To obtain the full document and supplementary materials, please visit the state’s website at:   http://wvabe.org/essential_igos.htm.

 

West Virginia Instructional Goals and Objectives (IGOs)

 

 

 

  MATHEMATICS VERIFICATION CHECKLIST

 

 

WV ABE Instructor Handbook

Section 6

 

2004-2005

 


 

West Virginia Instructional Goals and

Objectives (IGOs)  

 


USING INSTRUCTIONAL GOALS AND OBJECTIVES TO

MONITOR STUDENT PROGRESS

 

What is the WV ABE Verification Checklist Monitoring System?

The WV ABE verification checklist of Essential Instructional Goals and Objectives (IGOs) monitoring system is designed to track student mastery of specific skills. This process assists instructors with identifying areas of academic deficiencies and skills mastered. 

 

This process is currently NOT accepted by the US Department of Education for documenting student completion of an FFL or movement to a higher FFL.  It is, however, an effective strategy for developing appropriate programs of study for adult learners.  This system can be used to document and report academic achievement for learners upon exit from the program. 

 

What Does the Essential IGO Monitoring Process Include?

This monitoring process consists of three components:

·        Essential IGOs that describe what a student needs to know or do to be successful in each subject area.

·        Performance Descriptors that define the performance criteria to document IGO mastery and help guide instructors in selecting appropriate and consistent evaluation tasks.

·        Benchmark Tasks that are in the form of learning tasks or activities developed to meet the criteria stated in the performance descriptors are used to document mastery of IGOs.  Sample evaluation tasks have been created for many of the Essential IGOs.  Instructors may choose to use the developed tasks, develop their own, or use commercial materials to document mastery of individual IGOs.

 

What Essential IGO Checklists are Available?

For regular ABE students, an Essential IGO Verification Checklist and descriptors have been developed for each FFL in three content areas: Math, Reading, and Writing/Composition.

 

Benchmark Tasks are available for:

            Math                                        FFL 1-5

            Reading                                 FFL 1-3

            Writing/Composition             FFL 1-5

 

The Benchmark Tasks are available, free-of-charge, from the Curriculum Technology Resource Center (CTRC) at Cedar Lakes.  Instructors may call 1-800-982-5627 to request a copy of each.

 

 

There are also GED Essential IGO Verification Checklists for students at FFLs 5 and 6 whose goal is to pass the High School equivalency exams.  There are checklist for five content areas:  Math, Reading, Social Studies, Science, and Writing/Composition.

 

For ESL, Essential IGOs Verification Checklists have been developed for each FFL in two subject areas: Reading/Writing and Oral Communication.  Performance descriptors and benchmark tasks have not  been created.

 

For Computer Literacy, an Essential IGO Verification Checklist and Benchmark Tasks have been developed for each FFL.  Instructors receive these items during the required Computer Literacy Pre-Service.

 

When and How do I Begin Using the Verification Checklist?

In order to use this monitoring system, you must first complete Assessment 100:  Assessment to Instruction Part 1 and Curriculum 100: Assessment to Instruction Part 2.  The training sessions are three hours each.  You will be introduced to the components of this monitoring system and be provided effective techniques for adopting and implementing this system into an ABE program.

 

Once you are trained, you will follow the process described below:

·        Pre-test:  Administer the appropriate level of a recommended standardized assessment instrument to determine the student’s entry FFL.

·        Use IGO Verification Checklist:  Select and use the appropriate IGO Verification Checklist based on the student’s entry FFL.  The Verification Checklists may be used to monitor progress in any or all of the content areas.  Verification Checklists and any available performance descriptors are found in this Section of the Handbook and can also be downloaded from the ABE website at http://wvabe.org/essential_igos.htm.

·        Provide instruction:  Use the appropriate IGO Verification Checklist to develop a program of study based on the academic prescription gained from the standardized assessment tool and deliver appropriate instruction.

 

How do I Use the Verification Checklist to Monitor and Verify Student Progress?

Performance descriptors have been developed for the Essential IGOs.  These descriptors specify the content and nature of an appropriate assessment task for a particular IGO.  IGO mastery is verified using a benchmark task (an activity developed to meet the criteria stated in the performance descriptor and is used to informally assess and document mastery of the IGO).

 

Instructors may choose to develop their own benchmark tasks, based on the conditions stated in the descriptors, by using such resources as:

·        Instructor-made assessments

·        Student projects/products

·        Performance samples

·        End of chapter tests

·        Rubrics

·        Worksheets

·        Computerized assessment

 

As an alternative, instructors may use pre-developed Benchmark Tasks for ABE Writing/Composition FFLs 1-5, ABE Reading FFLs 1-3, and ABE Math FFLs 1-5, which are available, free-of-charge, from the Curriculum Technology Resource Center (CTRC) at Cedar Lakes.  Instructors may call (800) 982-5627 to request a copy of each.

 

The Benchmark Tasks or other forms of assessment used to verify mastery of IGOs are to be maintained in the student’s permanent program folder.  The instructor must document the mastery of each IGO by dating and initialing in the designated space on the appropriate Verification Checklist/s.  The Verification Checklist/s are also to be kept in the student’s permanent program folder with assessment documentation such as standardized tests.

 

 

 

 

WV ADULT BASIC EDUCATION

VERIFICATION CHECKLIST

 

 

MATHEMATICS

WEST VIRGINIA ADULT BASIC EDUCATION VERIFICATION CHECKLIST

MATHEMATICS

Federal Functioning Level 1 – Beginning Literacy (0–1.9)

Student:

 

Program:

Instructor:

 

Date Enrolled:


           


M.0   PRE-COMPUTATIONAL MATH SKILLS

Date & Initial

0.1.1          Recognize and count numbers through 999.

 

0.1.2     Count by twos, fives and tens to

100.

 

0.1.3     Identify even and odd numbers.

 

0.1.4     Identify missing numbers in a

            sequence.

 

 

M.1   WHOLE NUMBERS

 

Date & Initial

1.1.1     Add whole numbers up to three digits (without carrying).

 

1.1.2     Subtract whole numbers up to three digits (without borrowing).

 

1.1.3     Multiply whole numbers through twelve using numerals.

 

 

M.2   COUNT MONEY AND MAKE CHANGE

Date & Initial

2.1.1   Recognize currency (up to $20.00) and coins; count and trade pennies, nickels, dimes, and quarters to 100 cents.

 

 

2.1.2   Count back change (up to $5.00) using coins and currency.  Ex.  The student will count change to be received from a $5.00 bill used for a $1.70 purchase.

 

 

 

 

 

M.3   FRACTION

Date & Initial

3.1.1          Identify fractional parts (Ľ, 1/3,

             ˝) and whole.

 

 

 

M.9   UNITS OF TIME AND MEASUREMENT

Date

&

Initial

9.1.1     Read time to the nearest hour

             and half hour.

 

9.1.2     Understand use of standard linear measurements (inches, feet).

 

9.1.3    Understand use of standard

            measurements (cups, pints,

            quarts, and gallons).

 

 

M.13   GEOMETRY

Date

&

Initial

13.1.1   Identify and describe triangles,

            squares, rectangles, and circles.

  

 

 

Number of IGOs mastered:  ___________

85% mastery required (12 of 14 IGOs)

August 2001

 

 

 

Performance Descriptors

 

MATHEMATICS – BEGINNING LITERACY – LEVEL 1
Each IGO should be mastered with a minimum score of 80%
.

 

Pre-Computational Math Skills

M.0.1.1      Recognize and count numbers through 999 by completing a number chart with random prompts.

M.0.1.2      Count by twos, fives and tens to100 either orally or through a written exercise.

M.0.1.3      Identify a minimum of ten even and odd numbers.

M.0.1.4      Identify a minimum of ten missing numbers in a sequence.

 

Whole Numbers

 

M.1.1.1      Complete a minimum of ten problems that require adding whole numbers up to three digits (without carrying).

M.1.1.2      Complete a minimum of ten problems that require subtracting whole numbers up to three digits (without borrowing).

M.1.1.3      Complete a minimum of ten problems that require multiplying whole numbers through twelve using numerals.

Count Money and Make Change

M.2.1.1      Complete a minimum of ten problems that require recognizing currency (up to $20.00) and coins; complete a minimum of ten problems that require counting and trading pennies, nickels, dimes, and quarters to 100 cents.

M.2.1.2      Given a minimum of ten different situations, count back change (up to $5.00) using coins and currency. 

                 Ex. The student will count change to be received from a $5.00 bill used for a $1.70 purchase.

Fractions

M.3.1.1      Identify a minimum of two examples each of the fractional parts (Ľ, 1/3, ˝) and whole.

Units of Time and Measurement

M.9.1.1      Complete a minimum of five problems that require reading time to the nearest hour and five problems to the nearest half hour.

M.9.1.2      Complete a minimum of ten statements that demonstrate an understanding of linear measurement.  For example, the length of a book is measured in (a) inches  (b) feet.).

M.9.1.3      Complete a minimum of ten problems that demonstrate an understanding of standard measurements (cups, pints, quarts, and gallons). For example, a glass of milk is measured in (a) quarts (b) cups (c) pints.

Geometry

M.13.1.1    Identify a triangle, square, rectangle, and circle; draw an example of each.

 

 

 

WEST VIRGINIA ADULT BASIC EDUCATION VERIFICATION CHECKLIST

MATHEMATICS

Federal Functioning Level 2 – Beginning Basic (Level 2–3.9)

Student:

 

Program:

Instructor:

 

Date Enrolled:

 

 

 

 


M.1   WHOLE NUMBERS

Date & Initial

1.2.1     Identify place value to at least the thousands place.

 

1.2.2     Add whole numbers up to three digits using carrying.

 

1.2.3          Subtract whole numbers up to three digits using borrowing.

 

 

1.2.4     Multiply whole numbers up to three digits using carrying.

 

 

1.2.5     Divide whole numbers up to hundreds by one digit.

 

 

1.2.6     Solve single step real life word problems involving addition and subtraction using up to three digit whole numbers.

 

 

 

M.3   FRACTIONS

Date & Initial

3.2.1     Identify and demonstrate an understanding of fractional parts including Ľ, ⅓, ˝, and whole.

 

 

M.4   DECIMALS

Date & Initial

4.2.1     Identify and write amounts of money using decimals and words.

 

 

 

M.6   APPLY MATH IN A FUNCTIONAL CONTEXT

Date & Initial

6.2.1     Solve simple addition and subtraction problems by computing costs from a restaurant menu.

 

 

 

 

M.8   ESTIMATION

Date

&

Initial

 8.2.1    Use rounding and estimation for tens and hundreds.

 

 

M.9   UNITS OF TIME AND MEASUREMENT

Date

&

Initial

 9.2.1     Identify clock time and calendar dates using both words and numbers.

 

 9.2.2     Identify fourths, halves, and whole numbers on a ruler (inches) and weight scales pounds).

 

 9.2.3     Identify and select appropriate measures for capacity (cups, pints, quarts, and gallons) and weight (ounces and pounds).

 

 9.2.4     Interpret temperature from Fahrenheit scale in various situations.

 

 

M.10  TABLES, CHARTS, GRAPHS, AND MAPS

Date

&

Initial

 10.2.1    Solve problems using simple graphs (pictograph, bar, line and circle), tables or distances on maps.

 

 

 

Number of IGOs mastered:                    

85% mastery required (13 of 15 IGOs)

August, 2001

 

 


Performance Descriptors

 

MATHEMATICS – BEGINNING BASIC – LEVEL 2

Each IGO should be mastered with a minimum score of 80%.

Whole Number

M.1.2.1      Complete a minimum of ten problems that require identifying place value to at least the thousands place.

M.1.2.2      Complete a minimum of ten problems that require adding whole numbers up to three digits using carrying.

M.1.2.3      Complete a minimum of ten problems that require subtracting whole numbers up to three digits using borrowing, including borrowing from zeroes.

M.1.2.4      Complete a minimum of ten problems that require multiplying whole numbers up to three digits using carrying.

M.1.2.5      Complete a minimum of ten problems that require dividing whole numbers up to hundreds by one digit, including problems with remainders.

M.1.2.6      Solve a minimum of ten single step real life word problems involving addition and ten similar problems involving subtraction using up to three digit whole numbers.

Fractions

M.3.2.1      Identify at least one example of the following: Ľ, ˝, 1/3, and whole. Demonstrate at least one of each. For example, the student will fold paper or cut a candy bar into the designated parts.

Decimals

M.4.2.1      Solve a minimum of ten problems that require identification of money using decimals (e.g., $5.45); solve a minimum of ten problems that require identification of money using words (e.g., five dollars and forty-five cents).

Apply Math in a Functional Context

M.6.2.1      Solve a minimum of five problems that require simple addition and subtraction by computing costs from a restaurant menu.

 

Estimation

M.8.2.1      Round a minimum of five numbers to tens and a minimum of five numbers to hundreds.  Solve a minimum of five problems using estimation that involves tens and hundreds.  For example, estimate the sum of 406 and 798 (nearest hundred) or estimate the difference between 836 and 425 (nearest ten).

Units of Time and Measurement

M.9.2.1      Identify clock time using both words and numbers in a minimum of ten problems; identify calendar dates using both words and numbers in a minimum of ten problems.      

M.9.2.2      Solve a minimum of five problems that require the identification of fourths, halves, and whole numbers on a ruler (inches); solve a minimum of five problems that require the identification of fourths, halves, and whole numbers on weight scales (pounds).

M.9.2.3      Solve a minimum of five problems that require the identification and selection of appropriate measures for capacity (cups, pints, quarts, and gallons) and five problems with appropriate measures for weight (ounces and pounds).

M.9.2.4      Identify a minimum of five temperatures on a Fahrenheit scale and complete a minimum of five statements that demonstrate an understanding of temperatures in various situations.  Example:  A very cold day is (a) 700 F  (b) 560 F (c) 160 F.

Tables, Charts, Graphs, and Maps

M.10.2.1    Complete at least five questions each on three of the following: simple pictograph, bar graph, line graph, circle                  graph, table or map.

 

WEST VIRGINIA ADULT BASIC EDUCATION VERIFICATION CHECKLIST

MATHEMATICS

Federal Functioning Level 3 – Low Intermediate (4.0–5.9)

 

Student:

 

Program:

Instructor:

 

Date Enrolled:

 

 

 


M.1   WHOLE NUMBERS

Date & Initial

1.3.1     Add whole numbers up to four digits.

 

1.3.2     Subtract whole numbers up to four digits.

 

1.3.3     Multiply whole numbers up to four digits.

 

 

1.3.4     Divide a four-digit number by at    least a three-digit number.

 

 

1.3.5     Compute using the correct order of operations to solve problems including multiply, divide, add, and subtract (M, D, A, S).

 

 

1.3.6     Solve single step real life word problems involving multiplication and division using up to three digit whole numbers.

   

 

 

 

M.3   FRACTIONS

Date & Initial

3.3.1          Identify and calculate equivalent fractions (fourths, thirds, halves, eighths, fifths and tenths).

 

3.3.2          Add and subtract fractions (fourths,

             thirds, halves, eighths, fifths, and tenths).

 

3.3.3          Multiply fractions (fourths, thirds,

            halves, eighths, fifths, and tenths).

 

3.3.4          Divide fractions (fourths, thirds, halves,

            eighths, fifths, and tenths).

 

 

M.4   DECIMALS

Date & Initial

4.3.1          Identify place value for decimals (tenths, hundredths, and thousandths).

 

 

4.3.2     Round decimals to whole numbers.

 

4.3.3     Convert decimals to fractions and

            fractions to decimals (fourths, thirds, halves, eighths, fifths, and tenths).

 

 

M.6   APPLY MATH IN A FUNCTIONAL CONTEXT

Date & Initial

6.3.1     Compare prices and recognize best             buys.

 

 

6.3.2     Interpret information on a payroll stub.

 

6.3.3     Solve problems using money to write a             check and balance a check register.

 

 

M.9   UNITS OF TIME AND MEASUREMENT

Date & Initial

9.3.1     Calculate units of time using a clock             and calendar.

 

 

9.3.2     Identify and select appropriate linear measurements (inches, feet, yards, and miles).

 

9.3.3     Identify and select appropriate metric measurement (including meters, liters, and grams).

 

 

 

 

 

 

 

 

 

 

M.10   TABLES, CHARTS, GRAPHS, AND MAPS

Date & Initial

10.3.1  Measure and compute direct distances             using scales/legends on a simple map.

 

 

 

M.13   GEOMETRY

Date

&

Initial

13.3.1  Recognize basic geometric shapes (triangle, square, circle, rectangle, hexagon and pentagon).

 

 

13.3.2  Calculate perimeter of squares and rectangles using whole numbers.

 

 

 

Number of IGOs mastered:  ___________

85% mastery required (19 of 22 IGOs)

August, 2001


 

 

Performance Descriptors

 

MATHEMATICS – LOW INTERMEDIATE – LEVEL 3

Each IGO should be mastered with a minimum score of 80%.

Whole Numbers

M.1.3.1      Complete a minimum of ten problems involving the addition of whole numbers up to four digits.

M.1.3.2      Complete a minimum of ten problems involving the subtraction of whole numbers up to four digits.

M.1.3.3      Complete a minimum of ten problems involving the multiplication of whole numbers up to four digits.

M.1.3.4      Complete a minimum of ten problems involving the division of a four digit number by at least a three digit number.

M.1.3.5      Compute using the correct order of operations to solve a minimum of ten problems including multiply, divide, add, and subtract (M, D, A, S).

M.1.3.6      Solve a minimum of ten single step real life word problems involving multiplication and division using up to three digit whole numbers.

 

Fractions

M.3.3.1      Identify and calculate equivalent fractions (fourths, thirds, halves, eighths, fifths and tenths) solving a minimum of five problems each that require (1) reducing, (2) raising fractions to higher terms, (3) changing improper fractions to whole or mixed numbers, and (4) changing mixed and whole numbers to improper fractions.

M.3.3.2      Solve a minimum of ten fraction problems (fourths, thirds, halves, eighths, fifths, and tenths) that include addition of like and unlike denominators; subtract a minimum of ten similar fraction problems that include like and unlike denominators and borrowing from whole and mixed numbers.

M.3.3.3      Solve a minimum of ten fraction problems (fourths, thirds, halves, eighths, fifths, and tenths) that include multiplication of fractions, whole numbers, and mixed fractions.

M.3.3.4      Solve a minimum of ten fraction problems (fourths, thirds, halves, eighths, fifths, and tenths) that include division of fractions, whole numbers, and mixed fractions.

 

Decimals

M.4.3.1      Identify the place value for a minimum of five decimals each involving tenths, hundredths, and thousandths.          

M.4.3.2      Round a minimum of ten decimals to whole numbers.

M.4.3.3      Convert a minimum of five decimals to fractions and five fractions to decimals (fourths, thirds, halves, eighths, fifths, and tenths).

 

Apply Math in a Functional Context

M.6.3.1      Compare prices and recognize best buys in a minimum of ten problems.           

M.6.3.2      Answer a minimum of eight questions that require the interpretation of a payroll stub.

M.6.3.3      Write at least two checks and complete a check register that includes beginning and ending balances and at       least five transactions (deposits and checks).

 

Units of Time and Measurement

M.9.3.1      Solve a minimum of five problems that require calculating units of time using a clock; solve a minimum of five similar problems using a calendar.        

M.9.3.2      Identify and select appropriate linear measurements (inches, feet, yards, and miles) in a minimum of ten examples.

M.9.3.3      Identify and select appropriate metric measurement (including meters, liters, and grams) in a minimum of ten examples.

 

Tables, Charts, Graphs, and Maps

M.10.3.1    Measure and compute a minimum of ten direct distances using scales/legends on a simple map.

Geometry

M.13.3.1    Identify a minimum of one example of each of the following basic geometric shapes: triangle, square, circle, rectangle, hexagon and pentagon.

M.13.3.2    Calculate the perimeter of five squares and five rectangles using whole numbers.

 

WEST VIRGINIA ADULT BASIC EDUCATION VERIFICATION CHECKLIST

MATHEMATICS

Federal Functioning Level 4 – High Intermediate (6–8.9)

Student:

 

Program:

Instructor:

 

Date Enrolled:

NOTE:  Essential IGOs related to the GED test are underlined.


 


M.1   WHOLE NUMBERS

Date & Initial

1.4.1     Solve real life multi-step whole number word problems.

 

 

M.3   FRACTIONS

Date & Initial

3.33.4.1      Solve a minimum of ten real life word problems using fractions.

 

 

M.4   DECIMALS

Date & Initial

4.4.1     Add decimals; add decimals and whole numbers.

 

 

4.4.2     Subtract decimals; subtract decimals and whole numbers.

 

4.4.3     Multiply decimals; multiply decimals and whole numbers.

 

4.4.4     Divide decimals; divide decimals and whole numbers.

 

4.4.5     Solve real life word problems using decimals.

 

 

M.5   PERCENTS

Date & Initial

5.4.1          Convert percents to decimals and fractions.

 

 

5.4.2     Compute percents by finding the part, the percent and the whole.

 

5.4.3     Solve real life word problems using percents.

 

 

M.6   APPLY MATH IN A FUNCTIONAL CONTEXT

Date & Initial

6.4.1     Solve problems relating to payroll stubs.

 

 

6.4.2     Interpret and calculate sales tax, rebates and discounts.

 

6.4.3          Compute and compare unit pricing using division of decimals.

 

 

6.4.4     Interpret catalog order forms and             calculate cost of multiple items,             shipping and handling, and sales tax             as required.

 

 

M.9   UNITS OF TIME AND MEASUREMENT

Date & Initial

9.4.1  Solve problems using conversions of units of    weight, length/width, and capacity.

 

 

 

M.10   TABLES, CHARTS, GRAPHS, AND MAPS

Date & Initial

10.4.1     Solve problems using maps to compute travel time, gas consumption and travel costs.

 

 

10.4.2         Develop and draw conclusions from tables and graphs using instructor or student selected information.

 

 

 

M.11   INTEGERS

Date & Initial

11.4.1     Identify positive and negative numbers on a number line.

 

 

11.4.2     Add positive and negative numbers.

 

11.4.3     Subtract positive and negative numbers.

 

11.4.4     Multiply positive and negative numbers.

 

11.4.5     Divide positive and negative numbers.

 

 

 

M.12   ALGEBRA

Date & Initial

12.4.1      Solve Simple algebraic equations                (e.g., 5x=40, 2x+4=10)

 

 

Number of IGOs mastered:                    

85% mastery required (20 of 23 IGOs)

August 2001

 


Performance Descriptors

 

MATHEMATICS – HIGH INTERMEDIATE – LEVEL 4
Each IGO should be mastered with a minimum score of 80%.

Whole Numbers

M.1.4.1      Solve a minimum of ten real life multi-step whole number word problems.

Fractions

M.3.4.1      Solve a minimum of ten real life word problems using fractions.

Decimals

M.4.4.1      Solve a minimum of five problems involving adding decimals; solve a minimum of five problems involving adding decimals and whole numbers, both vertically and horizontally.

M.4.4.2      Solve a minimum of five problems involving subtracting decimals; solve a minimum of five problems involving subtracting decimals and whole numbers, both vertically and horizontally.

M.4.4.3      Multiply a minimum of five problems involving decimals; multiply a minimum of five problems involving decimals and whole numbers, both vertically and horizontally.

M.4.4.4      Divide a minimum of five problems involving decimals; divide a minimum of five problems involving decimals and whole numbers.

M.4.4.5      Solve a minimum of ten real life word problems using decimals that require addition, subtraction, multiplication and division.

Percents

M.5.4.1      Convert a minimum of ten percents to decimals and fractions.

M.5.4.2      Compute a minimum of five percent problems each involving (1) finding the part, (2) finding the percent, and (3) finding the whole.

M.5.4.3      Solve a minimum of 15 real life word problems with 5 each involving the three operations in M.5.4.2.

Apply Math in a Functional Context

M.6.4.1      Solve a minimum of eight problems relating to payroll stubs.    

M.6.4.2      Interpret and calculate a minimum of five problems each involving sales tax, rebates and discounts.

M.6.4.3      Solve a minimum of ten problems that require computing and comparing unit pricing using division of decimals.

M.6.4.4      Accurately complete a catalog order form that lists at least five items for sale.  List unit prices, amount of money for purchases, calculate a subtotal, tax, shipping, and total costs.

 

Units of Time and Measurement

M.9.4.1      Convert a minimum of ten units of weight, length, and capacity that include ounces, pounds, tons, inches, feet, yards, cups, pints, quarts, and gallons; complete five reading problems that use conversions of weight, length, and capacity.

Tables, Charts, Graphs, and Maps

M.10.4.1    Solve a minimum of ten problems using maps to compute travel time, gas consumption and travel costs.

M.10.4.2    Develop and draw conclusions from a table or graph (pictograph, circle graph, bar graph, or line graph).

 

Integers

M.11.4.1    Identify a minimum of ten positive and negative numbers on a number line.

M.11.4.2    Add a minimum of ten problems involving positive and negative numbers.

M.11.4.3    Subtract a minimum of ten problems involving positive and negative numbers.

M.11.4.4    Multiply a minimum of ten problems involving positive and negative numbers.

M.11.4.5    Divide a minimum of ten problems involving positive and negative numbers.

 

Algebra

M.12.4.1    Solve a minimum of ten simple algebraic equations (e.g., 5x = 40, 2x + 4 = 10).

 

 

 

WEST VIRGINIA ADULT BASIC EDUCATION VERIFICATION CHECKLIST

MATHEMATICS

Federal Functioning Level 5 – Low Adult Secondary (9-10.9)

Student:

 

Program:

Instructor:

Date Enrolled:

 

NOTE:  Essential IGOs related to the GED test are underlined


M.3   FRACTIONS

Date & Initial

3.5.1     Perform multiple operations of fractions (review).

 

 

M.4   DECIMALS

Date

&

Initial

4.5.1         Perform multiple operations of decimals (review).

 

 

M.5   PERCENTS

Date

&

Initial

5.5.1          Perform multiple operations of percents (review).

 

 

 

M.6   APPLY MATH IN A FUNCTIONAL CONTEXT

Date & Initial

6.5.1     Solve problems using averaging (mean)             and median.

 

 

 

M.7   RATIO AND PROPORTION

Date & Initial

7.5.1     Solve problems with probability.

 

7.5.2     Compute using ratio.

 

7.5.3     Compute using proportion.

 

 

M.8 ESTIMATION

Date & Initial

8.5.1     Use estimation to solve real life problems.

 

 

M.9   UNITS OF TIME AND MEASUREMENT

Date & Initial

 9.5.1   Convert between the standard and             metric systems of measures; inch/cm,

            foot/meter; pound/kilogram; quart/liter;             Fahrenheit/Celsius.

 

 

9.5.2       Compute time using United States time

            zones.

 

 

M.10   TABLES, CHARTS, GRAPHS, AND MAPS

Date

&

Initial

10.5.1      Interpret information from multi-line graphs

           to solve problems.

 

 

M.11   INTEGERS

Date

&

Initial

11.5.1     Identify and plot ordered pairs on a rectangular/coordinate plane.

 

 

 

M.12   ALGEBRA

Date

&

Initial

12.5.1     Solve powers and perfect square roots.

 

12.5.2     Solve complex algebraic equations (for ex.:  5(x+2) = 3(x +6),   3 r = 6).                                                  

 

 

M.13   GEOMETRY

Date

&

Initial

13.5.1     Recognize and identify complex geometric words and shapes such as quadrilateral, polygon, hexagon, octagon, parallelogram, cube, trapezoid, cone, cylinder and pyramid.

 

 

13.5.2     Solve problems involving angles (right, complementary, supplementary, vertical, and corresponding) and triangles.

 

13.5.3     Calculate circumference, perimeter, length, and width of selected geometric shapes (refer to current GED math formula page).

 

13.5.4     Calculate area of geometric shapes (refer to current GED math formula page).

 

13.5.5     Solve real life problems using perimeter and area.

 

13.5.6     Calculate volume of geometric shapes (refer to current GED math formula page).

 

13.5.7     Solve real life problems using volume.

 

13.5.8     Solve problems using the Pythagorean

              Theorem with and without the aid of the calculator.

 

 

 

M.14 TRIGONOMETRY

Date

&

Initial

  14.5.1   Identify components of trigonometric               functions (adjacent, opposite, and               hypotenuse).

 

 

Number of IGOs mastered: ________________

85% mastery required (20 or 23 IGOs)

August 2001

 

 


Performance Descriptors

 

MATHEMATICS – LOW ADULT SECONDARY – LEVEL 5
Each IGO should be mastered with a minimum score of 80%.

Fractions

M.3.5.1    Review fractions as indicated in Level 3 (addition, subtraction, multiplication, and division) and solve a minimum of eight fraction reading problems.

Decimals

M.4.5.1    Review decimals including writing decimals from words, converting fractions to decimals and decimals to fractions, and estimation/rounding; solve a minimum of eight decimal word problems.

Percents

M.5.5.1    Review percents including changing percents to decimals, decimals to percents, fractions to percents, and percents to fractions.  Find the part, whole and percent of a given problem and solve a minimum of eight percent word problems.

 

Apply Math in a Functional Context

M.6.5.1    Solve a minimum of five problems each using averaging (mean) and median.

 

Ratio and Proportion

M.7.5.1    Solve a minimum of ten problems with probability.

M.7.5.2    Compute a minimum of ten problems using ratio.

M.7.5.3    Compute a minimum of ten problems using proportion.

 

Estimation

M.8.5.1    Use estimation to solve a minimum of ten real life problems.

 

Units of Time and Measurement

M.9.5.1    Convert between the standard and metric systems of measures by solving a minimum of two problems each involving inch/cm, foot/meter; p    pound/kilogram; quart/liter; and Fahrenheit/Celsius.

M.9.5.2    Solve a minimum of ten problems involving time using United States time zones.

Tables, Charts, Graphs, and Maps

M.10.5.1  Interpret information from multi-line graphs to solve a minimum of five problems.

 

Integers

M.11.5.1  Identify and plot a minimum of ten ordered pairs on a rectangular/coordinate plane.

 

Algebra

M.12.5.1  Solve a minimum of ten problems using powers and perfect square roots.

M.12.5.2  Solve a minimum of ten complex algebraic equations (for ex.:  5(x+2) = 3(x +6), 3 r = 6).

                                                                                                                                  4

Geometry                                                                                                                                          

M.13.5.1 Recognize and identify a minimum of ten complex geometric words and shapes such as quadrilateral, polygon, hexagon, octagon, parallelogram, cube, trapezoid, cone, cylinder and pyramid.

M.13.5.2 Solve a minimum of five problems each involving triangles and complementary, supplementary, vertical, and corresponding angles.

M.13.5.3 Solve a minimum of ten problems involving the calculation of circumference, perimeter, length, and width of circles, triangles, square, rectangles, and parallelograms.

M.13.5.4 Solve a minimum of ten problems involving the calculation of area of circles, triangles, squares, rectangles, and parallelograms.

M.13.5.5  Solve a minimum of five real life problems using perimeter and five problems using area.

M.13.5.6 Solve a minimum of five problems each involving the volume of cubes and cylinders.

M.13.5.7 Solve a minimum of ten real life problems using volume.

M.13.5.8 Solve a minimum of ten problems using the Pythagorean Theorem with and without the aid of the calculator using both hypotenuse and leg.

Trigonometry

M.14.5.1  Solve a minimum of ten problems that require the identification of trigonometric functions including adjacent, opposite, and hypotenuse.


 

WEST VIRGINIA ADULT BASIC EDUCATION VERIFICATION CHECKLIST

MATHEMATICS

Federal Functioning Level 6 – High Adult Secondary (11.0-12.9)

Student:

 

Program:

Instructor:

 

Date Enrolled:

NOTE:  Essential IGOs related to the GED test are underlined.

 

 

M.6 APPLY MATH IN A FUNCTIONAL CONTEXT

Date

&

Initial

6.6.1     Use payroll stub information to construct a personal/family budget.

 

 

6.6.2     Reconcile a bank statement.

 

         

 

M.7   RATIO AND PROPORTION

Date

&

Initial

7.6.1    Solve real life word problems using proportion.

 

7.6.2     Make predictions based on probability including possible outcomes.

 

 

 

M.9   UNITS OF TIME AND MEASUREMENT

Date

&

Initial

9.6.1   Read and interpret information on scales, meters, and gauges.

 

 

 

M.10   TABLES, CHARTS, GRAPHS AND MAPS

Date

&

Initial

10.6.1   Compare and analyze tables and graphs.

 

 

 

 

 

 

 

 

M.11   INTEGERS

Date

&

Initial

11.6.1   Explain the relationship between length on a number line and absolute value.

 

 

 

 

 

 

 

 

 

M.12 ALGEBRA

Date

&

Initial

12.6.1   Use algebra to solve real life problems.

 

 

12.6.2    Solve inequalities.

 

12.6.3    Translate word phrases into algebraic   expressions or word sentences into equations

 

12.6.4     Add, subtract, multiply and divide               monomials.

 

12.6.5    Multiply and divide binomials.

 

12.6.6    Solve problems involving the slope of a line on a graph.

 

12.6.7    Solve problems involving the x and y intercepts on a graph.

 

12.6.8      Solve problems involving distance                between points on a coordinate                system.

 

12.6.9      Factor algebraic expressions.

 

12.6.10    Express numbers in scientific                notation.

 

 

M.13   GEOMETRY

Date

&

Initial

13.6.1     Use geometric formulas to solve real life problems (review).

 

 

 

 

M.14   TRIGONOMETRY

Date

&

Initial

14.6.1     Solve problems involving trigonometric ratios (sin, cos, tan) with right angles.

 

 

 

Number of IGOs mastered: ________________

85% mastery required (16 of 19 IGOs)

August 2001

 

ADDITIONAL GED IGOS

(not required for completion of FFL)

Date

&

Initial

GED.6.1   Operate a scientific calculator to solve basic and advanced mathematical functions.

 

 

GED.6.2   Evaluate insurance costs and benefits.

 

GED.6.3   Calculate retirement and investment benefits.

 

 

 


Performance Descriptors

 

MATHEMATICS – HIGH ADULT SECONDAR – LEVEL 6

Each IGO should be mastered with a minimum score of 80%.

 

Apply Math in a Functional Context    

M.6.6.1    Use payroll stub information to construct a personal/family budget.

M.6.6.2       Record at least ten transactions that include outstanding checks and deposits, debits/withdrawals and service charges.  Balance should agree with check register (ending balance).

Ratio and Proportion

M.7.6.1       Solve a minimum of ten real life word problems using proportion.         

M.7.6.2       Make a minimum of ten predictions based on probability including possible outcomes.

Units of Time and Measurement

M.9.6.1       Read and interpret information on a minimum of five scales, five meters, and five gauges.

Tables, Charts, Graphs, and Maps

M.10.6.1     Compare and analyze information from a minimum of five pairs of tables and graphs representing identical or similar data.

Integers

M.11.6.1     By drawing a number line, show the relationship between length on a number line and absolute value for a minimum of five given absolute values.

 

Algebra

M.12.6.1     Use algebra to solve a minimum of ten real life problems.       

M.12.6.2     Solve a minimum of ten inequalities.

M.12.6.3     Solve a minimum of ten problems that require the translation of word phrases into algebraic expressions or word sentences into equations.

M.12.6.4     Solve a minimum of five problems each that require addition, subtraction, multiplication and division of monomials.

M.12.6.5     Solve a minimum of five problems each that require the multiplication and division of binomials.

M.12.6.6     Solve a minimum of five problems involving the slope of a line on a graph.

M.12.6.7     Solve a minimum of five problems involving the x and y intercepts on a graph.

M.12.6.8     Solve a minimum of five problems involving distance between points on a coordinate system.

M.12.6.9     Factor a minimum of ten algebraic expressions.

M.12.6.10    Express a minimum of five numbers in scientific notation.

Geometry

M.13.6.1     Use geometric formulas to solve a minimum of ten real life problems.

Trigonometry

M.14.6.1     Solve a minimum of ten problems involving trigonometric ratios (sin, cos, tan) with right angles