STUDENT PERFORMANCE STANDARDS
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://www.fldoe.org/workforce/dwdframe/
Adult Basic Education (ABE)
STUDENT PERFORMANCE STANDARDS
Program Title: Adult Basic Education (ABE)
Program Number: 9900000
Course Title: Mathematics
Course Number: 9900001
01.0 Demonstrate pre-computational skills –- The student will be able to:
01.01 Identify and write number symbols (0 – 100).
01.02 Read words for numerals 1 – 20.
01.03 Count and associate numbers with quantities, including recognizing correct number sequencing.
01.04 Understand basic concepts (for example: more, less, same as, above, below, between, in, out, over, under).
02.0 Show awareness of ways numbers are represented and used in the real world –- The student will be able to:
02.01 Use ordinal numbers first through tenth.
02.02 Understand and apply the concepts of counting by 2, 5, and 10.
03.0 Demonstrate reasonable proficiency in computing addition and subtraction problems –- The student will be able to:
03.01 Understand and explain the effect of addition on whole numbers
03.02 Solve 1- and 2-digit addition problems without regrouping given in both vertical and horizontal notation.
03.03 Understand and explain the effect of subtraction on whole numbers
03.04 Solve 1- and 2-digit subtraction problems without regrouping given in both vertical and horizontal notation.
03.05 Select the appropriate operation to solve specific problems involving addition and subtraction of whole numbers.
03.06 Add 1-digit whole numbers to solve real-world problems using appropriate methods of computing (for example: manipulatives, mental mathematics, paper and pencil).
03.07Add a column of three 1-digit numbers
03.08 Recall addition facts using a number line, table, or memory.
03.09 Recall subtraction facts using a number line, table, or memory.
04.0 Measure quantities in the real world and use the measures to solve problems –- The student will be able to:
04.01 Use English units such as inches, pounds, degrees, and cups to measure real quantities (for example: measure to the nearest inch on a 12-inch ruler).
04.02 Use and describe basic measurement concepts (for example: length, weight, digital and analog time, temperature, and capacity).
04.03 Select and use an appropriate unit of measure.
04.04 State the date by month, day, and year, using a calendar.
04.05 Tell time to the hour and half-hour.
05.0 Identify two and three dimensional shapes –- The student will be able to:
05.01 Identify a square, circle, rectangle, and triangle.
06.0 Solve money problems –- The student will be able to:
06.01 Identify coins and currency of different values.
06.02 Identify sets of coins equivalent to $.25 or less.
06.03 Read and write numerals for money.
06.04 Use addition, without regrouping, to solve real-world problems involving two purchases totaling no more than $.50.
06.05 Recognize monetary symbols.
Literacy Completion Point B
Level 2.0 - 3.9 (BEGINNING BASIC EDUCATION)
07.0 Show awareness of ways numbers are represented and used in the real world -- The student will be able to:
07.01 Associate verbal names, written word names, and standard numerals with whole numbers less than 100.
07.02 Understand the relative size of whole numbers between 0 and 100
07.03 Use objects to represent whole numbers, commonly-used fractions, or mixed numbers and relate these numbers to real-world situations (for example: 1/4 pizza, 1/2 sandwich, 1 and 1/2 pies).
08.0 Understand number systems –- The student will be able to:
08.01 Understand and apply the concepts of counting by 2, 3, 5, 10, 25, and 50.
08.02 Understand place value for ones, tens, and hundreds, tenths and hundredths.
08.03 Classify numbers as even or odd.
09.0 Compute addition and subtractions problems –- The student will be able to:
09.01 Understand and explain the inverse (opposite) relationship of addition and subtraction.
09.02 Add whole numbers to solve real-world problems using appropriate methods of computing, such as manipulatives, mental mathematics, paper and pencil;
Example:
Add a 1- or 2-digit number to a 2-digit number, without regrouping, given in vertical notation.
09.03 Subtract whole numbers to solve real-world problems using appropriate methods of computing, such as manipulatives, mental mathematics, paper and pencil;
Example:
Subtract a 1- or 2-digit number from a 2-digit number without regrouping given in vertical notation.
10.0 Compute multiplication and division problems –- The student will be able to:
10.01 Understand and explain the effect of multiplication on whole numbers.
10.02 Identify multiplication terminology and symbols.
10.03 Recall multiplication facts using a table or memory.
10.04 Multiply a 2-digit number by a 1-digit number without regrouping, and multiply three 1-digit numbers.
10.05 Understand and explain the effect of division on whole numbers.
10.06 Identify division terminology and symbols.
10.07 Understand the inverse relationship between multiplication and division.
10.08 Recall division facts using a table or memory.
10.09 Divide a 2-digit number by a 1-digit number without remainders.
11.0 Apply math skills in word problem applications -– The student will be able to:
11.01 Recognize clue words in choosing operations to be used to solve real-world problems (for example: add, plus, total, sum, subtract, difference, left, remaining, multiply, times, several, divide, each, per).
11.02 Explain the reasoning steps in solving real-world problems by:
determining the question;
identifying the information given;
deciding on the operation;
working and checking;
making certain the answer is logical;
11.03 Recognize that all math has only four operations: addition, subtraction, multiplication, and division.
11.04 Select the appropriate operation to solve specific problems involving addition (+), subtraction (-), multiplication (x), and division (¸).
12.0 Demonstrate estimation skills -– The student will be able to:
12.01 Round numbers to 10's and 100's.
12.02 Use rounding techniques to estimate the solution to a real-world addition or subtraction problem then determine the actual result through computation.
13.0 Use units of measurement –- The student will be able to:
13.01 Identify the larger of two U.S. measures.
13.02 Identify common units of U.S. measurements for length, capacity, weight, and temperature.
13.03 Identify, select, and use appropriate tools from the U.S. system for measuring length, capacity, weight and temperature.
13.04 Tell time on the half-hour, quarter hour, and in minutes.
14.0 Recognize a wide variety of patterns, relations, and functions -– The student will be able to:
14.01 Recognize symbols and concepts of equal (=) and unequal (¹), less than (<) and greater than (>).
14.02 Identify the next item of a pattern or a number sequence.
14.03 Identify the missing item of a pattern or a number sequence.
15.0 Describe and identify three-dimensional shapes –- The student will be able to:
15.01 Identify and describe the characteristics of basic three-dimensional shapes.
16.0 Solve money problems –- The student will be able to:
16.01 Count coins and currency.
16.02 Determine equivalent amounts of up to five dollars using coins and paper currency.
16.03 Determine change from a one-dollar bill.
16.04 Determine equivalent amounts of up to ten dollars using coins and paper currency.
16.05 Solve real-world problems involving change after purchases with a ten-dollar bill.
16.06 Solve real-world problems involving comparison shopping for purchases of less than ten dollars.
Literacy Completion Point C
Level 4.0 - 5.9 (LOW INTERMEDIATE BASIC EDUCATION)
17.0 Show awareness of ways whole numbers are represented and used in the real world –- The student will be able to:
17.01 Identify whole numbers combining up to 7-digit numeration (millions, thousands, hundreds, tens, and ones).
17.02 Associate verbal names, written word names, and standard numerals with whole numbers.
17.03 Understand the relative size of whole numbers.
18.0 Demonstrate proficiency in adding and subtracting whole numbers –- The student will be able to:
18.01 Add a 1-, 2-, or 3-digit number to a 3-digit number with and without regrouping given in vertical notation.
18.02 Add three or four 3-digit numbers with and without regrouping given in vertical notation.
18.03 Add three or four 4-digit numbers with and without regrouping given in vertical notation.
18.04 Subtract two 3-digit numbers with and without regrouping given in vertical notation.
18.05 Subtract two 5-digit numbers with and without regrouping given in both vertical and horizontal notation.
18.06 Borrow where the minuend is a digit followed by three zeros and regrouping is necessary (for example: 6000 - 495).
19.0 Multiply whole numbers –- The student will be able to:
19.01 Multiply a 2-digit number by a 2-digit number.
19.02 Multiply a 3-digit number by a 1-, 2- or 3-digit number.
19.03 Multiply a 4-digit number by a 1-, 2- or 3-digit number.
19.04 Demonstrate proof method for multiplication (for example: 64 x 27 = 27 x 64).
20.0 Divide whole numbers –- The student will be able to:
20.01 Divide 3- or 4-digit numbers by a 1-digit number with and without remainder.
20.02 Divide 3-or 4-digit numbers by a 2-digit number with and without remainder.
20.03 Divide by a 3-digit number with or without remainder.
20.04 Prove long-division problems.
21.0 Demonstrate proficiency in number sense, concepts and operations involving fractions –- The student will be able to:
21.01 Associate verbal names, written word names, and standard numerals with commonly used fractions (1/2, 1/4, 1/3, 3/4, 2/3).
21.02 Understand the relative size of commonly used fractions.
21.03 Understand that commonly used fractions can be represented in other equivalent forms such as decimals and percents (1/2 = 50% = .5).
21.04 Write numbers as fractions.
21.05 Understand the concept of numerators and denominators.
21.06 Identify proper and improper fractions and mixed numbers.
21.07 Convert from mixed to improper fractions.
21.08 Convert from improper to mixed fractions.
21.09 Reduce common fractions to the lowest common denominator.
21.10 Convert fractions to an equivalent fraction.
21.11 Add fractions with common denominators.
21.12 Subtract fractions with common denominators.
21.13 Multiply proper fractions.
21.14 Multiply proper fractions by whole numbers.
22.0 Demonstrate proficiency with number sense, concepts, and operations involving decimals –- The student will be able to:
22.01 Associate verbal names, written word names, and standard numerals with decimals, including tenths, hundredths, and thousandths.
22.02 Understand the relative size of decimals.
22.03 Understand that decimals can be represented in other equivalent forms (ex. Fractions).
22.04 Convert common fractions to decimals.
22.05 Convert decimals to common fractions.
22.06 Add and subtract decimals.
22.07 Select the appropriate operation to solve specific problems involving decimals.
22.08 Understand the relationship between money and decimals.
22.09 Solve real-world problems involving decimals.
23.0 Use estimation to problem solve and compute -– The student will be able to:
23.01 Use and justify different estimation strategies in a real-world problem situation and determining the reasonableness of results of calculations in a given problem situation.
23.02 Solve real-world problems with the help of estimating measurements including length, time, weight, temperature, money, perimeter, area, and volume and comparing the results to actual measurements.
23.03 Round a whole number less than one million to any designated place.
23.04 Round fractions and mixed numbers to the nearest whole numbers.
23.05 Use rounding techniques to estimate the solution to a real-world addition or subtraction measurement problem, then determine the actual result.
24.0 Demonstrate proficiency in measuring quantities and solving problems related to measurement -– The student will be able to:
24.01 Write abbreviations for length, weight, and capacity measurements in the U.S. system.
24.02 Identify equal measures defined in different units.
24.03 Measure to the nearest ¼ inch on a 12-inch ruler.
24.04 Solve measurement problems in the U.S. system using addition or subtraction with no conversion.
24.05 Determine temperature using Fahrenheit or Celsius thermometer.
24.06 Determine capacity by measuring quantities in teaspoons, tablespoons, cups, pints, quarts, gallons, and liters.
24.07 Recognize, use, measure, and interpret linear dimensions, and geometric shapes.
24.08 Use and interpret measurement instruments such as rules, scales, gauges, and dials.
24.09 Interpret diagrams, illustrations, and scale drawings.
24.10 Interpret spatial relationships (for example: above, below, nearer, farther, equidistant).
24.11 Interpret measurements in recipes.
24.12 Convert equivalent measurements (for example: cups to quarts).
25.0 Demonstrate proficiency in solving problems involving algebra –- The student will be able to:
25.01 Describe a variety of patterns and relationships through models such as manipulatives, tables, graphs, and rules.
25.02 Translate a problem in words into a number symbol sentence (for example: six plus one equals seven to 6 + 1 = 7).
25.03 Recognize simple algebraic formulas (for example: 1 + 3 = x).
25.04 Recognize simple consumer formulas (for example: units times price = cost).
26.0 Interpret data from graphs, charts, and maps –- The student will be able to:
26.01 Solve problems by generating, collecting, organizing, displaying, and analyzing data using: bar graphs, circle graphs, line graphs, pictographs, and charts.
26.02 Interpret data in charts, tables, plots, graphs, and maps.
26.03 Understand and find averages (means).
26.04 Locate a point on a highway map.
27.0 Calculate differences to solve problems encountered in daily living –- The student will be ale to:
27.01 Calculate reported differences (for example: minutes spent working on two jobs).
27.02 Calculate differences between two hourly wages.
27.03 Determine the net cost of groceries after deducting the value of coupons.
27.04 Calculate the difference between figures from a summarizing table.
27.05 Use hourly and daily wage rates, calculating the difference in earnings.
27.06 Determine the difference between lengths of business hours on weekdays and weekends.
27.07 Calculate the savings between two specific subscription rates.
27.08 Calculate the amount of increase using figures from a bar graph.
27.09 Determine daily earnings based on hourly rate and number of hours worked.
27.10 Use figures from a comparison table, calculating increases.
27.11 Total the amount of fines accrued for several driving violations.
28.0 Apply arithmetic operations to information contained in printed materials -– The student will be able to:
28.01 Use an order form to determine the total cost of a purchase.
28.02 Determine the total for an order after calculating the cost of two items and sales tax (using a tax table).
28.03 Determine the total cost of multiple items ordered from a menu, including one item having multiple quantities.
28.04 Use an advertisement, determining the total cost of several items in different quantities.
29.0 Demonstrate proficiency in consumer math skills -– The student will be able to:
29.01 Develop a personal budget for a set income.
29.02 Plan for major purchases (for example: car, refrigerator).
29.03 Interpret information or directions to locate consumer goods (for example: newspaper ads, yellow pages).
29.04 Identify and use methods to purchase goods and services including catalogs, order forms and related information.
29.05 Interpret advertisements, labels, charts, letters, articles, price tags, or other information in selecting goods and services.
29.06 Write personal checks or money orders to purchase goods and services.
29.07 Complete a deposit and withdrawal form.
Literacy Completion Point D
Level 6.0 – 8.9 (HIGH INTERMEDIATE BASIC EDUCATION)
30.0 Understand theories related to numbers -– The student will be able to:
30.01 Understand and apply basic number theory concepts, including primes, composites, factors and multiples.
30.02 Understand commutative and associative properties (for example: 6 x 2 = 2 x 6; 1 + 3 + 4 = 3 + 1 + 4).
31.0 Demonstrate proficiency in solving problems involving geometry -– The student will be able to:
31.01 Understand the concepts of spatial relationships, symmetry, reflections, congruency, and similarity.
31.02 Recognize and apply geometric formulas for perimeter and area of squares, rectangles and triangles, cubes and rectangular solids.
31.03 Represent and apply a variety of strategies and geometric properties and formulas for two- and three-dimensional shapes to solve real-world and mathematical problems.
32.0 Demonstrate proficiency in number sense, concepts, and operations involving fractions -– The student will be able to:
32.01 Associate verbal names, written word names, and standard numerals with fractions.
32.02 Locate fractions on a number line.
32.03 Understand the relative size of fractions.
32.04 Identify concrete and symbolic representations of fractions in real-world situations.
32.05 Add whole numbers, fractions, and mixed numbers with and without common denominators.
32.06 Subtract whole numbers, fractions and mixed numbers with or without regrouping.
32.07 Multiply common mixed fractions, mixed numbers and whole numbers.
32.08 Divide fractions.
32.09 Divide whole numbers, fractions, and mixed numbers.
32.10 Perform multiple operations using common fractions, mixed numbers and whole numbers.
32.11 Select the appropriate operation to solve specific problems involving fractions.
32.12 Solve real-world problems involving fractions.
33.0 Demonstrate proficiency in number sense, concepts, and operations involving decimals –- The student will be able to:
33.01 Locate decimals on a number line.
33.02 Order a sequence of decimal numbers from smallest to largest.
33.03 Multiply a decimal by a whole number or another decimal.
33.04 Divide a decimal by a whole number and a decimal.
33.05 Divide a whole number by a decimal.
33.06 Convert mixed numbers to decimal fractions.
33.07 Select the appropriate operation to solve specific problems involving decimals.
33.08 Solve real-world problems involving decimals.
34.0 Demonstrate proficiency in mastery of number sense, concepts, and operations involving ratios and proportions -– The student will be able to:
34.01 Associate verbal names, written word names, and standard numerals with ratios.
34.02 Understand the concept of ratio and proportion.
34.03 Identify concrete and symbolic representations of ratios in real world situations.
34.04 Understand that ratios can be represented in other equivalent forms.
34.05 Select when to solve specific problems by using ratios or proportions.
34.06 Solve real-world problems involving ratios and proportions.
34.07 Demonstrate the process of cross-multiplying to solve proportion.
35.0 Demonstrate mastery of number sense, concepts, and operations involving percents –- The student will be able to:
35.01 Associate verbal names, written word names, and standard numerals with percents.
35.02 Understand the relative size of percents.
35.03 Identify concrete and symbolic representations of percents in real-world situations.
35.04 Understand that percents can be represented in a variety of equivalent forms.
35.05 Convert between fractions, decimals, and percents.
35.06 Find a percent of a number.
35.07 Find what percent one number is of another.
35.08 Finding the total when a percent is given.
35.09 Solve real-world problems involving percents.
35.10 Determine sales tax on a purchase when given the tax rate.
36.0 Demonstrate proficiency in number sense, concepts, and operations involving integers –- The student will be able to:
36.01 Associate verbal names, written word names, and standard numerals with integers.
36.02 Identify concrete and symbolic representations of integers to real world situations (for example: temperature).
36.03 Locate numbers on a number line.
36.04 Understand the relative size of integers.
36.05 Add, subtract, multiply and divide integers.
36.06 Solve simple problems by applying the algebraic order of operations.
36.07 Select the appropriate operation to solve specific problems involving integers.
36.08 Solve real-world problems involving integers.
36.09 Find square of numbers 1 – 20.
36.10 Find square roots of perfect squares.
36.11 Write algebraic expressions (for example: 2x; 2m – 10).
36.12 Solve one-step equations involving any of the mathematical operations (for example: x + 9 – 27; x/4 = 3; x – (-4) = 2).
37.0 Demonstrate proficiency in number sense, concepts, and operations involving geometry – The student will be able to:
37.01 Recognize and understand the basic properties of the following geometric shapes in two and three dimensions: circle, square, rectangle, triangle, parallelogram, pentagon, cube, rectangular solid, pyramid, cone, cylinder.
37.02 Recognize types of angles (acute, obtuse, straight, right).
37.03 Recognize types of triangles (equilateral, right, scalene, isosceles).
37.04 Know the number of degrees in a triangle and a quadrilateral.
37.05 Use appropriate geometric vocabulary (parallel, perpendicular, similar, congruent) to write a description of a figure or a picture composed of geometric figures;
37.06 Recognize and apply geometric formulas for perimeter, area and circumference.
37.07 Recognize and apply geometric formulas for volume of three-dimensional shapes including cubes, rectangular solids and cylinders.
37.08 Represent and apply a variety of strategies and geometric properties and formulas for two- and three-dimensional shapes to solve real-world and mathematical problems.
38.0 Use estimation skills to problem solve and compute – The student will be able to:
38.01 Use estimation strategies to predict results and to check the reasonableness of data.
38.02 Use estimates to solve real-world problems of length, perimeter, area, mass, volume, and capacity.
38.03 Use estimates to solve real-world problems of money, time, and temperature.
38.04 Use rounding techniques to estimate the solution to a real-world addition or subtraction measurement problem, then determining the actual result.
38.05 Use a variety of strategies, estimating lengths, widths, time intervals, and money and compare them to actual measurements.
38.06 Solve real-world and mathematical problems with the help of estimating measurements (for example: length, time, weight/mass, temperature, money, perimeter, area, volume) in either U.S. system or in metric units.
39.0 Demonstrate proficiency in measuring quantities and solving problems related to measurement – The student will be able to:
39.01 Identify the U.S. measures most appropriate for a given situation.
39.02 Convert within the U.S. system of measures for length, weight, or capacity (for example: yards « feet « inches; tons « pounds « ounces; cups « pints « quarts « gallons).
39.03 Solve linear measurement problems with inches, feet, or yards.
39.04 Solve capacity problems with cups, pints, quarts, or gallons.
39.05 Solve mass/weight problems with ounces, pounds, or tons.
39.06 Identify metric units of measure for length, weight/mass, or capacity (meter, gram, liter) most appropriate for a given situation.
39.07 Associate prefixes used in the metric system with their decimal equivalents (kilo, deci, centi, and milli).
39.08 Convert within the metric system measures from one prefix to another.
39.09 Solve problems involving units of measure and convert answers to a larger or smaller unit within either the metric or U.S. system.
39.10 Select and use appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation.
40.0 Understand and apply theories related to numbers – The student will be able to:
40.01 Use number concepts including primes, factors, and multiples, to build number sequence.
40.02 Use place value concepts of grouping based on powers of 10 (1, 10, 100, 1000, 10,000, 100,000, 1,000,000).
40.03 Understand the structure of number systems other than the decimal number system (Roman number system).
41.0 Interpret data from graphs, charts, and maps – The student will be able to:
41.01 Interpret and compare data from pictographs, circle, bar and line graphs.
41.02 Use data from charts and tables to solve real-world problems (for example: determining tax on purchases using sales tax table or calculating tax from a withholding tax schedule or income tax schedule).
41.03 Understand and apply the concepts of mean and median.
41.04 Use a scale to measure distance on a map.
41.05 Use given information and a time zone map to calculate arrival time according to a given time zone.
41.06 Use a map showing time zones to determine the time in one location given the specified time in another.
42.0 Demonstrate proficiency in consumer math skills – The student will be able to:
42.01 Calculate and compare the unit prices for different sizes of food containers and for different brands using a calculator or pencil and paper.
42.02 Use the sales tax rate to calculate sales tax and total cost of a purchase.
42.03 Compute discounts and sale prices.
42.04 Interpret interest and interest-earning savings plans.
42.05 Use the required percentage down payment rate and the total purchase price to calculate the actual amount of down payment and balance to be financed on long-term purchases.
42.06 Calculate a checkbook balance from a recorded register using a calculator or paper and pencil.
42.07 Interpret bank statements and computer-generated banking receipts.
Mathematics Skills
Pre-GED Preparation
July 2005
Note: This section has been excerpted from the Pre-General Education Development section of the Florida Department of Education Curriculum Framework. To obtain the full document and supplementary materials, please visit the state’s website at: www.fldoe.org/workforce/dwdframe/
Literacy Completion Point E Mathematics Skills
05.0 DEMONSTRATE SKILLS IN MATHEMATICAL CALCULATION, PROBLEM ANALYSIS, APPLICATION OF CONCEPTS AND PROBLEM-SOLVING--The student will be able to:
05.01 Add, subtract, multiply, and divide with whole numbers, common fractions, decimal fractions, and percents. (MA.A.1.3.1, MA.1.3.2, MA.A.1.3.3, MA.A.1.3.4, MA.A.3.3.2, MA.A.3.3.3)
05.02 Represent numbers in a variety of equivalent forms using integers, fractions, decimals, percents, exponents, and scientific notation. (MA.A.1.3.1, MA.A.1.3.3, MA.A.1.3.4)
05.03 Compare the relative size of integers, fractions, ratios, decimals, percents, numbers with exponents, square roots, and numbers in scientific notation. (MA.A.1.3.2, MA.A.1.3.3, MA.A.1.3.4, MA.A.2.3.1)
05.04 Apply concepts of absolute value and perform operations with signed numbers. (MA.A.1.3.2, MA.A.1.3.4, MA.A.3.3.1)
05.05 Calculate area, perimeter, volume, capacity, surface area, and mass and solve problems involving customary and metric measurements. (MA.B.1.3.2, MA.B.2.3.1, MA.B.2.3.2)
05.06
Apply beginning
principles of algebra including: solving one-step algebraic equations,
writing one-step equations from word problems, and using simple formulas.
(MA.A.3.3.1, MA.A.3.3.2, MA.A.3.3.3, MA.D.1.3.1, MA.D.1.3.2, MA.D.2.3.1,
MA.D.2.3.2)
05.07 Collect, organize and display data in tables, charts, and graphs, describing any patterns and relationships in the data. (MA.C.3.3.1, MA.C.3.3.2, MA.D.1.3.1, MA.D.1.3.2, MA.D.2.3.1, MA.E.1.3.1, MA.E.1.3.3, MA.E.3.3.1, MA.E.3.3.2)
05.08 Use measuring tools and other devices such as rulers, protractors, scales, meters and gauges to collect data. (MA.B.1.3.1, MA.B.1.3.2, MA.B.2.3.1, MA.B.2.3.2, MA.C.1.3.1)
05.09 Plot graph of linear equations, identifying the slope, the x and y-intercepts, and parallel or perpendicular lines. (MA.C.2.3.1, MA.C.3.3.2, MA.D.2.3.1)
05.10 Draw, identify, and analyze two- or three-dimensional shapes applying concepts of regularity, symmetry, congruence, and similarity. (MA.C.1.3.1, MA.C.2.3.1. MA.C.2.3.2)
05.11 Find the mean, median, mode and range of a set of data in a real-life situation using a scientific calculator, when appropriate. (MA.A.3.3.1, MA.A.3.3.2, MA.D.1.3.1, MA.D.1.3.2, MA.E.3.3.1)
05.12 Define and give examples of number properties, and apply the correct order of operations. (MA.A.1.3.3, MA.A.3.3.2, MA.A.5.3.1)
05.13 Analyze and interpret the real-world data found in charts, graphs, and tables from newspapers or magazines. (MA.A.3.3.3, MA.E.1.3.3, MA.E.3.3.1, MA.E.3.3.2)
05.14 Choose appropriate methods of computing, such as mental mathematics, paper and pencil, or a scientific calculator to solve real-world problems. (MA.A.3.3.3, MA.A.4.3.1, MA.A.5.3.1, MA.E.1.3.3)
05.15 Recognize effects of operations on numbers and select the appropriate operation for solving a problem. (MA.A.3.3.1, MA.A.3.3.2)
05.16 Use alternative response formats for displaying numerical and graphic solutions in grids and plots. (MA.A.1.3.3, MA.A.1.3.4)
05.17 Use estimation to predict results of a calculation and check the reasonableness of the solution. (MA.A.4.3.1, MA.A.5.3.1)
05.18 Construct scale drawings and interpret diagrams and maps in real-life and workplace situations. (MA.B.1.3.4, MA.B.3.3.1
05.19 Determine the mathematical probability of an event, use the probability to make a prediction, and compare experimental results to the mathematical probability. (MA.E.2.3.1, MA.E.2.3.2)
05.20 Identify flaws in statistical methods and data analysis including bias in sampling techniques, misinterpreting correlations, and use of misleading graphs. (MA.E.1.3.1, MA.E.3.3.1, MA.E.3.3.2)
05.21 Develop a personal or business budget, calculate the effect of deposits and withdrawals on a checking account balance, and complete a simple tax form. (MA.A.3.3.1, MA.A.3.3.2, MA.A.3.3.3, MA.B.3.3.1)
05.22 Collect data, construct a scatterplot, and classify the correlations between variables. (MA.C.3.3.2, MA.D.1.3.1, MA.D.1.3.2, MA.D2.3.1)
05.23 Calculate investment benefits using simple and compound-interest formulas and appropriate technology. (MA.A.1.3.3, MA.A.2.3.1, MA.A.5.3.1, SS.D.1.3.2, AT.3.1.3.2, AT.3.1.3.3)
05.24 Select appropriate units and instruments of measurement to achieve the degree of accuracy and precision required in a real-life or workplace situation. (MA.B.4.3.1, MA.B.4.3.2)
Mathematics Skills
GED Preparation
July 2005
Note: This section has been excerpted from the General Education Development section of the Florida Department of Education Curriculum Framework. To obtain the full document and supplementary materials, please visit the state’s website at: www.fldoe.org/workforce/dwdframe/
Literacy Completion Point E Mathematics Skills
05.0 DEMONSTRATE ADVANCED MATHEMATICS SKILLS IN NUMBER OPERATIONS, NUMBER SENSE, MEASUREMENT, GEOMETRY, DATA ANALYSIS, STATISTICS, AND PROBABILITY.
The student will be able to:
05.01 Perform computations with whole numbers, integers, common fractions, decimal fractions, and percentages. (MA.A.1.4.1, MA.A.3.4.3)
05.02 Represent numbers in a variety of equivalent forms, using integers, fractions, decimals, percents, scientific notation, exponents, and radicals. (MA.A.1.4.1, MA.A.1.4.3, MA.A.1.4.4)
05.03 Select appropriate operations for problem-solving, describe the effect of operations on numbers, and identify relationships among these operations. (MA.A.3.4.1, MA.A.3.4.2, MA.A.3.4.3)
05.04 Recognize the relative size of integers, rational numbers, irrational numbers, and real numbers. (MA.A.1.4.2, MA.B.2.4.1)
05.05 Describe a variety of patterns, relationships, and functions including direct and indirect variation using expressions, equations, inequalities, graphs, and formulas. (MA.D.1.4.1, MA.D.1.4.2, MA.D.2.4.1)
05.06 Solve problems and verify solutions using appropriate methods, including use of mental mathematics, paper and pencil, and scientific calculator. (MA.A.1.4.4, MA.A.2.4.4 MA.A.3.4.3, MA.E.1.4.3, MA.E.2.4.2, MA.E.2.4.3)
05.07 Construct, analyze, interpret, and draw inferences from tables and graphs to identify and generalize patterns and relationships. (MA.A.5.4.1, MA.D.2.4.1, MA.D.2.4.2, MA.E.1.4.1, MA.E.1.4.3, MA.E.2.4.1, MA.E.2.4.2)
05.08 Use geometry formulas and relationships such as the Pythagorean Theorem to find length, area, perimeter, volume, angle measurement, capacity, weight, and mass and predict the impact that changes in linear dimension will make on perimeter, area, and volume of geometric figures. (MA.B.3.4.1, MA.C.1.4.1, MA.C.3.4.1, MA.C.3.4.2, MA.D.1.4.1)
05.09