30-50-73 ged test preparation - dace | adult and career...

24
REVISED: November/2008 Program: Adult Literacy/High School Diploma Course of Study: High School Diploma Course: 1:2008 Test Preparation 30-50-73 GED Test Preparation Credits: 30 Hours: 300 Prerequisites: 1. A minimum reading level of 9.0 as measured by the TABE D7/8 reading comprehension test 2. Writing fluency at an English 1 placement level, determined by a student writing sample and evaluated by the receiving instructor 3. Mastery of the competencies of Basic Math- Advanced (53-03-73) 4. Recommendation of an instructor and/or counselor Course Description: This competency-based course is comprised of a review of the key concepts in the high school curriculum covering the five basic subject areas of language arts and writing, social studies, science, literature, and mathematics. Note: The number 30-50-93 is used for reporting hours students generate outside the classroom through Distance Learning program. The number 30-06-73 is used for reporting hours student generate through GED Preparation. After a student has completed this course, he/she may not be allowed to re-enroll in the course.

Upload: lethu

Post on 10-Mar-2018

216 views

Category:

Documents


3 download

TRANSCRIPT

REVISED: November/2008

Program: Adult Literacy/High School Diploma Course of Study: High School Diploma Course: 1:2008 Test Preparation

30-50-73 GED Test Preparation

Credits: 30 Hours: 300 Prerequisites: 1. A minimum reading level of 9.0 as measured by the TABE

D7/8 reading comprehension test 2. Writing fluency at an English 1 placement level,

determined by a student writing sample and evaluated by the receiving instructor

3. Mastery of the competencies of Basic Math- Advanced (53-03-73)

4. Recommendation of an instructor and/or counselor

Course Description: This competency-based course is comprised of a review of the key concepts in the high school curriculum covering the five basic subject areas of language arts and writing, social studies, science, literature, and mathematics.

Note: The number 30-50-93 is used for reporting hours students generate outside the classroom through Distance Learning program. The number 30-06-73 is used for reporting hours student generate through GED Preparation. After a student has completed this course, he/she may not be allowed to re-enroll in the course.

- 3 - (30-50-73)

COURSE OUTLINE COMPETENCY-BASED COMPONENTS

A course outline reflects the essential intent and content of the course described. Acceptable course outlines have six components. (Education Code Section 52506). Course outlines for all apportionment classes, including those in jails, state hospitals, and convalescent hospitals, contain the six required elements: (EC 52504; 5CCR 10508 [b]; Adult Education Handbook for California [1977], Section 100) Course Outline Components

Location

GOALS AND PURPOSES The educational goals or purposes of every course are clearly stated and the class periods are devoted to instruction. The course should be broad enough in scope and should have sufficient educational worth to justify the expenditure of public funds. The goals and purpose of a course are stated in the COURSE DESCRIPTION. Course descriptions state the major emphasis and content of a course, and are written to be understandable by a prospective student.

Cover

PERFORMANCE OBJECTIVES OR COMPETENCIES Objectives should be delineated and described in terms of measurable results for the student and include the possible ways in which the objectives contribute to the studentʼs acquisition of skills and competencies. Performance Objectives are sequentially listed in the COMPETENCY-BASED COMPONENTS section of the course outline. Competency Areas are units of instruction based on related competencies. Competency Statements are competency area goals that together define the framework and purpose of a course. Competencies fall on a continuum between goals and performance objectives and denote the outcome of instruction. Competency-based instruction tells a student before instruction what skills or knowledge they will demonstrate after instruction. Competency-based education provides instruction which enables each student to attain individual goals as measured against prestated standards. Competency-based instruction provides immediate and continual repetition and In competency-based education the curriculum, instruction, and assessment share common characteristics based on clearly stated competencies. Curriculum, instruction and assessment in competency-based education are: explicit, known, agreed upon, integrated, performance oriented, and adaptive.

pp. 6-19

- 4 - (30-50-73)

COURSE OUTLINE COMPETENCY-BASED COMPONENTS (continued)

Course Outline Components

Location

INSTRUCTIONAL STRATEGIES Instructional techniques or methods could include laboratory techniques, lecture method, small-group discussion, grouping plans, and other strategies used in the classroom. Instructional strategies for this course are listed in the TEACHING STRATEGIES AND EVALUATION section of the course outline. Instructional strategies and activities for a course should be selected so that the overall teaching approach takes into account the instructional standards of a particular program, i.e., English as a Second Language, Programs for Older Adults, Programs for Adults with Disabilities.

p. 24

UNITS OF STUDY, WITH APPROXIMATE HOURS ALLOTTED FOR EACH UNIT The approximate time devoted to each instructional unit within the course, as well as the total hours for the course, is indicated. The time in class is consistent with the needs of the student, and the length of the class should be that it ensures the student will learn at an optimum level. Units of study, with approximate hours allotted for each unit are listed in the COMPETENCY AREA STATEMENT(S) of the course outline. The total hours of the course, including work-based learning hours (community classroom and cooperative vocational education) is listed on the cover of every CBE course outline. Each Competency Area listed within a CBE outline is assigned hours of instruction per unit.

Cover pp. 6-19

EVALUATION PROCEDURES

The evaluation describes measurable evaluation criteria clearly within the reach of the student. The evaluation indicates anticipated improvement in performances as well as anticipated skills and competencies to be achieved. Evaluation procedures are detailed in the TEACHING STRATEGIES AND EVALUATION section of the course outline. Instructors monitor studentsʼ progress on a continuing basis, assessing students on attainment of objectives identified in the course outline through a variety of formal and informal tests (applied performance procedures, observations, simulations), paper and pencil exams, and standardized tests.

p. 24

REPETITION POLICY THAT PREVENTS PERPETUATION OF STUDENT ENROLLMENT After a student has completed all the objectives of the course, he or she should not be allowed to reenroll in the course. There is, therefore, a need for a statement about the conditions for possible repetition of a course to prevent perpetuation of students in a particular program for an indefinite period of time.

Cover

- 5 - (30-50-73)

ACKNOWLEDGMENTS The contributions of MARK KAVANAGH are acknowledged for the development of this course outline. Thanks to TOM CALDERON for editing and preparing this course outline as competency-based.

MARSHA EASTERDAY Supervisor

Adult Academic Instruction

APPROVED:

ED MORRIS Assistant Superintendent Division of Adult and Career Education

- 6 - (30-50-73)

CBE Competency-Based Education

COMPETENCY-BASED COMPONENTS for The GED Test Preparation Course

COMPETENCY AREAS AND STATEMENTS

MINIMAL COMPETENCIES

A. INTRODUCTION Understand the nature, scope,

and uses of the Tests of General Educational Development (GED).

(5 hours)

1. Identify the five subject matter areas of the tests. 2. Identify the types of skills and knowledge used to pass each

test. 3. Research and report on common benefits of earning the

GED certificate, including personal development and entry into vocational programs, colleges and universities, the military and the job market.

4. Describe the approximate length of time given for each test. 5. Describe the procedure for arranging to take the test,

including selection of testing times and locations, fee payment, and necessary identification.

6. Identify and explain range of GED test scores, including individual and overall passing scores.

7. Interpret the results of GED pretest assessment in the five subject areas to identify areas of strength and weakness for the purpose of individual goal setting.

8. Identify and discuss the survey section of the GED test.

B. COMPREHENSION

STRATEGIES AND SKILLS Apply effective comprehension

techniques when using GED preparation materials and taking tests.

1. Demonstrate effective reading techniques such as skimming

and scanning. 2. Skim a lesson identifying headings, words in bold, and

illustrations to form a general impression of the material to be studied.

3. Take notes while reading, jotting down key terms, concepts, proper names, and titles.

4. Formulate questions similar in format and content to questions presented in the lesson.

5. Review lessons, using self-questioning techniques. 6. Restate given information. 7. Summarize ideas from given passages. 8. Discuss implications of a given situation. 9. Distinguish facts from hypotheses or opinions.

- 7 - (30-50-73)

(30 hours)

10. Identify implications of a given set of circumstances. 11. Identify cause and effect relationships. 12. Use given or remembered ideas in a context other than that

provided. 13. Distinguish a conclusion from supporting statements. 14. Identify unstated assumptions. 15. Analyze relationships of component ideas. 16. Assess the adequacy or appropriateness of data to

substantiate hypotheses, conclusions, or generalizations. 17. Assess the accuracy of data as determined by documentation

or proof. 18. Analyze, interpret and draw inferences from pictorial,

graphical, and tabular information, such as: a. maps b. graphs c. cartoons d. diagrams e. timelines f. scales g. meters h. gauges

19. Apply information from graphics to concrete events and situations.

20. Evaluate the validity or accuracy of information or methods based on provided or assumed criteria.

21. Find logical fallacies in arguments. 22. Evaluate the effect of values on beliefs and decision-making. 23. Apply information and ideas from a text to a situation different

from that described.

C. LANGUAGE ARTS Writing Skills Apply knowledge of the

conventions of English grammar, mechanics, usage, sentence structure, and paragraph and essay organization in the context of personal and business communication and other informational documents.

1. Capitalize first words and other appropriate words in a

sentence. 2. Use commas properly in different kinds of sentences. 3. Use end punctuation correctly. 4. Use direct and internal quotation marks correctly. 5. Use apostrophes to form possessive words and contractions. 6. Use direct and internal quotation marks correctly. 7. Use colons and semi-colons correctly. 8. Differentiate between homonyms and other closely related

words. 9. Memorize basic spelling rules.

10. Correct spelling errors of words within sentences. 11. Identify the singular and plural forms of subjects and verbs.

- 8 - (30-50-73)

(20 hours)

12. Demonstrate correct subject-verb agreement. 13. Demonstrate use of correct tenses of verbs. 14. Demonstrate correct use of plural and possessive nouns. 15. Edit sentences and paragraphs for consistent use of verb

tenses. 16. Demonstrate knowledge of correct pronoun reference. 17. Choose pronouns which express ideas clearly. 18. Demonstrate correct use of adverbs and adjectives. 19. Distinguish complete from incomplete sentences. 20. Correct incomplete sentences. 21. Correct run-on sentences. 22. Identify complete sentences. 23. Modify faulty sentence structure. 24. Re-write existing sentences using a different structure. 25. Combine sentences. 26. Demonstrate subordination of clauses to the main idea of a

sentence. 27. Express ideas clearly. 28. Identify cause-and-effect relationships within sentences and

paragraphs. 29. Identify correct usage, sentence structure, and mechanics in

sentences within paragraphs. 30. Reorganize a paragraph to demonstrate proper chronological

order. 31. Edit errors of usage, sentence structure, and mechanics in

sentences within paragraphs. 32. Evaluate, edit, and revise essays by: choosing the best topic

sentence, moving sentences to improve the flow of ideas, removing irrelevant details, and dividing and combining paragraphs.

D. LANGUAGE: WRITING

The Essay Formulate a thesis and

support it using appropriate evidence, detail, and argument strategies.

1. Read and discuss the GED Essay Scoring Guide. 2. Evaluate sample essays according to the GED Essay 3. Scoring Guide 1 (Indequate); 2 (Marginal); 3 (Adequate); 4

(Effective). 4. Use brainstorming techniques such as lists and idea maps to

generate ideas for an essay. 5. Formulate a thesis in response to a given topic. 6. Use prewriting strategies such as clustering, idea circles, and

grouping and labeling to generate evidence, details, and argument strategies to support a thesis.

7. Organize the material into outline form. 8. Edit and reorganize the outline. 9. Compose a first draft of an essay consisting of an

introduction, body paragraphs, and a conclusion.

- 9 - (30-50-73)

(20 hours)

10. Edit a first draft for errors of usage, sentence structure, spelling, punctuation, and capitalization.

11. Revise a first draft of an essay by improving word choice and strengthening support of the thesis

12. Plan and write and essay in response to an essay prompt in 45 minutes.

13. Use the GED Essay Scoring Guide, individually or collaboratively, to evaluate a timed essay.

E. SOCIAL STUDIES:

2. United States History Demonstrate a basic

knowledge of United States history and identify key themes.

(10 hours)

1. Discuss the multicultural nature of U.S. society. 2. Explain how occurrences in Europe led to the exploration and

colonization of the New World. 3. Identify factors which led to the Revolutionary War. 4. Explain how the thirteen colonies united into one country. 5. Describe the inter-relationship of domestic and foreign policy

during the first fifty years of American history. 6. Explain how sectionalism led to the Civil War. 7. Describe the effect of the Civil War on the South. 8. Analyze the effect of post-Civil War industrial growth on

United States demographic trends, immigration, and living conditions.

9. Discuss how technology has changed work and working conditions in the United States.

10. Explain how economic problems of early twentieth-century America changed the role of the federal government in the lives of Americans.

11. Identify events which changed United States foreign policy from isolationism to internationalism in the twentieth century.

12. Describe the emergence of the United States as a world power in the twentieth century.

13. Describe the role of the United States in international affairs in the post World War II world.

14. Identify how Americans gained some of their rights and freedoms.

15. Identify major issues in American domestic affairs since World War II.

16. Explain some implications of recent events on future domestic and foreign policy.

- 10 - (30-50-73)

F. SOCIAL STUDIES:

2. World History Demonstrate a basic

knowledge of themes in world history.

(6 hours)

1. Explores the effect of technology on world history, including

the development of agriculture and the rise of cities. 2. Discuss the impact of the Industrial Revolution on the world. 3. Analyze the connection between industrialization and

imperialism. 4. Analyze the relationship between nationalism and nation

building. 5. Identify the roots of democracy in Athens and trace its

development through the age of revolution to the present. 6. Discuss the break up of the Soviet Union and the adoption of

democratic ways in Eastern Europe.

G. SOCIAL STUDIES

Economics Demonstrate a basic

knowledge of economics. (9 hours)

1. Define economics. 2. Apply the concepts of consumer, producer, supply, and

demand to analyze real-life economic activity. 3. Differentiate among the economic systems of capitalism,

communism, and socialism. 4. Discuss major components of the free enterprise system. 5. Differentiate among various banking institutions. 6. Evaluate the impact of the United States government on the

economy. 7. Evaluate the affects of the global economy on employment in

the United States. 8. Explain how tax revenues are collected and distributed. 9. Describe various measures of economic activity, such as

inflation, depression, recession, consumer price index (CPI), and gross national product (GNP).

10. Describe the role of labor in the economy. 11. Discuss the impact of international economic trends on

individual countries. 12. Interpret the economic implications of charts and graphs. 13. Assess the adequacy of economic data to support

conclusions and infer cause and effect.

- 11 - (30-50-73)

H. SOCIAL STUDIES

Civics and Government Demonstrate a basic

knowledge of political science. (10 hours)

1. Differentiate among the features of various major forms of

government. 2. Summarize and compare and contrast American political

philosophy as expressed in the Declaration of Independence and Articles of Confederation.

3. Explain how the United Stated Constitution provides for the distribution of political power.

4. Categorize the duties of the three branches of the federal government.

5. Identify the rights and responsibilities of citizens of the United States.

6. Explain the role of compromise in the ratification of the constitution.

7. Explain the constitutional amendment process. 8. Compare the powers allocated to federal, state, and local

government structures. 9. Describe the American electoral process on federal, state,

and local levels. 10. Assess the role of the United States as an economic and

military power in international politics. 11. Describe the functions of major international organizations,

such as United Nations, UNICEF, World Health Organization (WHO), International Labor Organization (ILO), military alliances such as NATO, and regional economic and political alliances, such as the European Economic Community (EEC) and Organization of American States (OAS).

I. SOCIAL STUDIES:

Geography

Demonstrate a basic knowledge of geography.

(6 hours)

1. Analyze the relationship between human development and

the environment. 2. Identify unique characteristics of place, including climate and

landforms. 3. Discuss the division of the world into regions based on

human and physical characteristics. 4. Identify the geographic factors that impact human life and

culture. 5. Distinguish between topographic maps, which show the

surface features of an area, and thematic maps, which can present other kinds of geographic information, such as migration routes or crop production.

- 12 - (30-50-73)

J. SCIENCE:

Themes in Science Demonstrate basic knowledge

of scientific principles, concepts, and methods used in biology, earth science, chemistry, and physics.

(12 hours)

1. Describe the characteristics of a scientist. 2. Explain key unifying concepts in science, including systems,

order, and organization. 3. Explain fundamental processes in science, including change,

constancy, evolution, equilibrium, and entropy. 4. Explain scientific method. 5. Discuss milestones in the history of science and technology. 6. Describe major fields of science. 7. Analyze and evaluate scientific material by distinguishing facts

from opinions and hypotheses. 8. Explain the steps in a scientific experiment. 9. Identify tools used by scientists. 10. Use metric measurements in solving problems.

K. SCIENCE

Biology Demonstrate a basic

knowledge of plant and animal science and human biology

(12 hours)

1. Identify parts of a cell. 2. Describe functions of the parts of a cell. 3. Discuss the implications of the cellular composition of all living

things. 4. Describe the process of reproduction. 5. Explain how genetic characteristics are transferred to offspring. 6. Describe the structure of complex biological organisms. 7. Explain the interaction between an antigen and the immune

system. 8. Define the five kingdoms or taxonomic groups of life forms. 9. Distinguish among photosynthesis, absorption, and ingestion

as means of nutrition. 10. Explain the interdependence of living things. 11. Explain the interdependence of an ecosystem. 12. Evaluate the impact of a change in habitat. 13. Define behavior. 14. Explain how different kinds of behavior are manifested by

organisms of different levels of complexity. 15. Explain the process of evolution.

- 13 - (30-50-73)

L. SCIENCE

Earth and Space Science Demonstrate a basic

knowledge of earth and space science.

(12 hours)

1. Describe the formation of the universe and solar system. 2. Explain the Copernican theory and the earthʼs place in the

solar system. 3. Explain the relationship between gravitational force and the

structure of the universe. 4. Describe the earth's structure and composition. 5. Explain how the earth is undergoing constant change. 6. Describe the water cycle. 7. Describe the rock cycle. 8. Explain the function of earth's atmosphere. 9. Explain how weather patterns operate.

10. List sources of energy. 11. Discuss the relationship between fossil fuels and the

greenhouse effect.

M. SCIENCE

Chemistry Demonstrate a basic

knowledge of chemistry. (12 hours)

1. Define matter. 2. Describe the properties of matter. 3. Apply knowledge of the states of matter to the classification of

ordinary household items. 4. Explain what atoms and molecules are and how they

combine. 5. Describe the role of protons, neutrons, and electrons in the

structure of matter. 6. Use a periodic table to illustrate the properties of elements. 7. Explain how substances can be combined into compounds,

mixtures, and solutions. 8. Interpret a chemical equation and explain the chemical

reaction it represents. 9. Evaluate an everyday occurrence and explain how it illustrates

the concept of conservation of matter. 10. List the products of a chemical reaction between an acid and

a base. 11. Explain how energy is transferred during a chemical reaction. 12. Describe the properties of radioactive materials. 13. Explain how carbon dating is used to determine the age of

objects.

- 14 - (30-50-73)

N. SCIENCE

Physics Understand the relationship

between energy, work, and power.

(12 hours)

1. Explain the forces which affect motion. 2. Explain the relationship between force and distance in the

scientific definition of work. 3. Compare and contrast the properties of heat, water, sound,

electromagnetic, and electrical energy. 4. Analyze and discuss an everyday event in terms of kinetic and

potential energy. 5. Explain the relationship between heat and mechanical energy. 6. Describe the properties of waves. 7. Describe the properties of light. 8. Explain how electricity is a basic property of all matter. 9. Describe the relationship between magnetism and electricity. 10. Describe how nuclear fission and nuclear fusion convert matter

into energy. 11. Describe how various branches of science interrelate with each

other and outside fields of study. 12. Explain how science knowledge is applied to real world

problems. 13. Evaluate and discuss the use of water, solar, geothermal, and

wind energy as alternatives to fossil fuels.

O. LANGUAGE ARTS

Reading Comprehend, interpret, and

analyze literary texts, including prose fiction, poetry, and drama; and nonfiction texts, including biography and autobiography, editorials, speeches, reviews of visual representation and business documents.

1. Analyze various elements of style and structure in a given

text, including tone, mood, diction, and use of figurative language, to determine how these elements contribute to overall effect.

2. Identify specific details from a text that reveal an authorʼs bias. 3. Analyze a given passage for elements of style and structure. 4. Discuss how elements of style and structure relate to the

effect of a given passage 5. Explain how literature is different from other forms of written

expression. 6. Define criticism/commentary. 7. Distinguish fiction from other forms of written expression. 8. Identify and discuss different types of nonfiction texts,

including business communication; movie, television, and book reviews; biography, autobiography; editorials, magazine features, and newspaper articles.

9. Differentiate between fiction and nonfiction.

- 15 - (30-50-73)

(40 hours)

10. Apply the following concepts to the understanding and analysis of a text: a. story element b. plot c. character d. motivation e. authorʼs viewpoint f. authorʼs purpose

11. Explain how dramatic literature differs from other forms of literature.

12. Apply the following concepts to the understanding and analysis of a text: a. figurative language b. metaphor c. simile d. personification e. rhythm f. rhyme

13. Describe and analyze literary techniques employed in poem. 14. Explain how poetry differs from prose. 15. Interpret the theme of a poem. 16. Explain how commentary and criticism differ from other forms

of writing. 17. Discuss commentary, criticism, and editorials on both a literal

and inferential level. 18. Analyze commentary and editorials for tone, authorʼs point of

view and purpose, and bias.

P. MATHEMATICS

Whole Numbers Understand how to solve

problems using whole numbers.

1. Add, subtract, multiply, and divide whole numbers. 2. Round off whole numbers. 3. Use distance and cost formulas. 4. Use powers and square roots of whole numbers. 5. Calculate the perimeter and area of plane areas. 6. Calculate the volume of solid figures. 7. Apply the commutative, associative, and distributive

properties of numbers. 8. Apply the order of operations to solve a math problem. 9. Calculate the mean and median of a set of numbers.

10. Define key terms of arithmetic. 11. Apply problem-solving strategies to solve multi-step

problems.

- 16 - (30-50-73)

(10 hours)

12. Apply a five-step process to solve word problems based on a reading passage.

13. Estimate the best solution to a problem. 14. Set up solutions to word problems. 15. Use a number grid to record an answer.

Q. MATHEMATICS Fractions Understand how to solve

problems using fractions. (10 hours)

1. Reduce fractions to lower terms and raise fractions to higher

terms. 2. Interchange forms of fractions. 3. Add, subtract, multiply, and divide fractions. 4. Calculate the fraction one number is of another. 6. Identify key terms associated with fractions. 7. Solve distance and cost problems containing fractions. 8. Use powers and square roots of fractions. 9. Use and interchange standard units of measure. 10. Solve perimeter, area, and volume problems containing

fractions. 11. Compare and order fractions. 12. Set up ratios and proportions. 13. Solve proportion and word problems. 14. Calculate the probability of an event. 15. Solve multi-step proportion problems. 16. Set up solutions to word problems. 17. Solve problems when extraneous information is given.

R. MATHEMATICS Decimals Understand how to solve

problems using decimals. (8 hours)

1. Read and write decimals. 2. Add, subtract, multiply, and divide decimals. 3. Convert between fractions and decimals. 4. Round off decimals. 5. Solve word problems containing decimals. 6. Use powers and square roots of decimals. 7. Use metric units of measurement. 8. Solve perimeter, area, and volume problems containing

decimals. 9. Calculate the circumference of a circle. 10. Calculate the volume of a cylinder. 11. Compare and order decimals. 12. Explain travel problems to calculate distance. 13. Analyze whether all information necessary to solve a problem

is given.

- 17 - (30-50-73)

S. MATHEMATICS Ratio and Proportion

Understand how to solve Problems using proportion.

(7 hours)

1. Use ratios to compare values. 2. Identify elements, cross products, and the steps in solving a

proportion. 3. Use proportion to solve a word problem.

T. MATHEMATICS Percents Understand how to solve

problems using percents. (8 hours)

1. Convert between percents and decimals. 2. Convert between fractions and percents. 3. Calculate a percent of a number. 4. Calculate what percent one number is of another. 5. Calculate a number when a percent of it is given. 6. Solve word problems (including multi-step problems)

containing percents. 7. Use the formula for calculating interest. 8. Use percent in comparisons.

U. MATHEMATICS Measurement

Use the English and metric systems to estimate and calculate.

(6 hours)

1. Estimate and calculate using the English system of

measurement. 2. Estimate and calculate using the metric system. 3. Solve for the perimeter and area of regular and irregular

shapes. 4. Use proportions to convert measurements. 5. Use scales, meters, and gauges for measurement.

V. MATHEMATICS Data Analysis and Probability Understand how to read and

interpret data. (5 hours)

1. Interpret pictographs, tables, circle graphs, bar graphs, and

line graphs. 2. Solve problems from information given in graphs. 3. Express probability as a fraction, as a decimal, as a percent,

or as a ratio.

- 18 - (30-50-73)

W. MATHEMATICS

Formulas and Problems Solving

Apply knowledge of

mathematics, whole numbers, fractions, decimals, percents, graphs, algebra, and geometry to solve mathematics problems.

(10 hours)

1. Solve word problems. 2. Translate given contexts into arithmetic and/or algebraic

language. 3. Use given formulas to solve arithmetic, algebraic, and

geometric problems. 4. Apply common geometry formulas in problem-solving

situations. 5. Interpret charts, graphs, tables, and illustrations, applying this

comprehension to solving problems.

X. MATHEMATICS

Algebra Understand algebraic

concepts and apply them to solve problems.

(10 hours)

1. Use a number line. 2. Add, subtract, multiply, and divide signed numbers. 3. Add, subtract, multiply, and divide monomials. 4. Write algebraic expressions 5. Apply the order of operations. 6. Solve inequalities. 7. Write algebraic expressions and equations. 8. Multiply binomials. 9. Factor binomials and quadratic equations. 10. Use factoring to simplify square roots. 11. Solve quadratic equations. 12. Solve various algebra problems. 13. Solve algebraic word problems.

Y. MATHEMATICS

Geometry Understand geometric

concepts and apply them to solve problems.

1. Identify angles by name according to how many degrees they

contain. 2. Identify pairs of angles. 3. Use parallel lines and transversals to solve problems. 4. Identify various kinds of triangles. 5. Describe the properties of various kinds of triangles. 6. Compare similar and congruent figures. 7. Solve problems using the Pythagorean theorem. 8. Calculate perimeter and circumference using the perimeter and

circumference formulas that appear on the GED test. 9. Calculate area and volume using the formulas that appear on

the GED test. 10. Solve word problems using formulas for perimeter,

circumference, area, and volume.

- 19 - (30-50-73)

(8 hours)

11. Identify sine, cosine, and tangent. 12. Use a scientific calculator to determine sine, cosine, and

tangent. 13. Locate points on the rectangular coordinate system. 14. Calculate distance between points on the rectangular

coordinate system. 15. Graph linear equations. 16. Graph quadratic equations. 17. Calculate slope and intercept. 18. Solve geometry problems using algebra.

Z. MATHEMATICS

Calculator Skills

Understand the skills necessary for the use of the official calculator on the math section of the GED test

(2 hours)

1. Recognize basic key functions:

a. power on b. clear © c. power on/all clear (AC) d. decimal point e. shift f. change key function g. digit or number key

2. Recognize basic calculation keys: a. addition b. subtraction c. multiplication d. division e. equal

2. Recognize special keys: a. fraction key b. percent key c. exponent d. Pi e. sign change f. square root g. open/close parentheses.

- 20 - (30-50-73)

SUGGESTED INSTRUCTIONAL MATERIALS and OTHER RESOURCES TEXTS AND SUPPLEMENTAL MATERIALS

Contemporary/Wright Group/McGraw-Hill 220 East Danieldale Road DeSoto TX 75115-2490 www.WrightGroup.com (800) 621-1918 TEXTS Contemporaryʼs GED Satellite Series, McGraw-Hill/Contemporary, 2002. Language Arts, Writing (0-8092-2228-0) Social Studies (0-8092-2229-9) Science (0-8092-2230-2) Language Arts, Reading (0-8092-2231-0) Mathematics (0-8092-2232-9) Contemporaryʼs GED Essay, McGraw-Hill/Contemporary, 2002. (0-07-252758-7) Contemporaryʼs GED Instructor Resource Binder. McGraw-Hill/Contemporary, 2002. (0-07-284936-3) Contemporaryʼs Complete GED. McGraw-Hill, Contemporary, 2002. (0-8-92-9469-9) Contemporaryʼs The GED Math Problem Solver Student Text. McGraw-Hill/Contemporary, 2002. (0-07-252755-2) Contemporaryʼs The GED Math Problem Solver-Teacherʼs Guide. McGraw-Hill/Contemporary, 2002. (0-07-252756-0) SOFTWARE Contemporaryʼs MHC Interactive: GED Integrated Online Solution 12 Month Virtual Seat (0-07-294506-0) Contemporaryʼs MHC Interactive: GED Windows Single User License (0-07-250328-9) TECHNOLOGY Casio fx-260 Calculator (0-07-252545-2) Casio OH-260 Overhead (0-07-252546-0)

- 21 - (30-50-73)

SUGGESTED INSTRUCTIONAL MATERIALS and OTHER RESOURCES (continued)

ASSESSMENT Contemporaryʼs Assessment Program for the GED, McGraw-Hill/Contemporary, 2002. Full-Length Diagnostic Form CD1 (5-Pack) (0-07-282212-0) Full-Length Diagnostic Form CD2 (5-Pack) (0-07-282214-7) Half-Length Predictor Form CP1 (5-Pack) (0-07-282216-3) Half-Length Predictor Form CP2 (5-Pack) (0-07-282220-1) Administratorʼs Guide with Scoring Templates (0-07-282208-2) Universal Answer Sheet Booklet (25 Pack) (0-07-282210-4) Kentucky Educational Television Enterprises 560 Cooper Drive Lexington, KY 40502-2200 800.354.9067 www.ket.org/enterprise Arlene Mickley 818.898.3340 [email protected] TEXTS KET GED Connection: Mathematics Workbook. KET Enterprises, 2002. KET GED Connection: Science/Social Studies Workbook. KET Enterprises, 2002. KET GED Connection: Language Arts Reading/Writing Workbook. KET Enterprises, 2002. TECHNOLOGY KET GED Connection DVDs Program 1: Orientation Program 2: Passing the GED Writing Test Program 3: Getting Ideas on Paper Program 4: The Writing Process Program 5: Organized Writing Program 6: Writing Style and Word Choice Program 7: Effective Sentences Program 8: Grammar and Usage Program 9: Spelling Punctuation and Capitalization Program 10: The GED Essay Program 11: Passing the GED Reading Test Program 12: Nonfiction Program 13: Fiction Program 14: Poetry

- 22 - (30-50-73)

SUGGESTED INSTRUCTIONAL MATERIALS and OTHER RESOURCES (continued)

Program 15: Drama Program 16: Passing the GED Social Studies Test Program 17: Themes in U.S. History Program 18: Themes In World History Program 19: Economics Program 20: Civics and Government Program 21: Geography Program 22: Passing the GED Science Test Program 23: Life Science Program 24: Earth and Space Science Program 25: Chemistry Program 26: Physics Program 27: Passing the GED Math Test Program 28: Number Sense Program 29: Problem Solving Program 30: Decimals Program 31: Fractions Program 32: Ratio, Proportion, and Percents Program 33: Measurement Program 34: Formulas Program 35: Geometry Program 36: Data Analysis Program 37: Statistics and Probability Program 38: Introduction to Algebra Program 39: Special Topics in Algebra and Geometry ONLINE MATERIALS GED Video Partners Workbooks California Distance Learning Project cdluponline.org Steck-Vaughn, Division of Harcourt Company P.O. Box 690789 Orlando, FL 32819-0789 (800) 531-5015 GED Instructorʼs Resource Guide. Steck-Vaughn/Harcourt, 2002. (0-7398-2940-8) GED Skill Book for Mathematics: The Calculator. Steck-Vaughn/Harcourt, 2002. (0-7398-4669-8) GED: Essay, Steck-Vaughn/Harcourt, 2001. (0739828320) GED: Language Arts, Writing, Steck-Vaughn/Harcourt, 2001. (0739828312). GED: Social Studies, Steck-Vaughn, 2001. (0739828347)

- 23 - (30-50-73)

SUGGESTED INSTRUCTIONAL MATERIALS and OTHER RESOURCES (continued)

GED: Science., Steck-Vaughn/Harcourt, 2001. (00739828339) GED: Language Arts, Reading, Steck-Vaughn/Harcourt, 2001. (0739828363) GED: Mathematics, Steck Vaughn-Harcourt, 2001. (0739828355) GED 2002 Series Official Practice Tests. GED Testing Service American Council on Education, Steck-Vaughn, Division of Harcourt Company, 2001. Official GED Practice Tests Form PA (0739854429) Official GED Practice Tests Form PB (0739854437) Official GED Practice Tests Form PC (0739854445) Official GED Practice Tests Form PD (0739885677) Official GED Practice Tests Administratorʼs Manual, Steck-Vaughn/Harcourt, 2002. (0739854399)

RESOURCE PERSONS Subject Area Supervisor Subject Area Advisers State Department of Education Consultant

- 24 - (30-50-73)

TEACHING STRATEGIES AND EVALUATION

METHODS AND PROCEDURES A. Lecture and discussion

B. Small group problem-solving and discussion

C. Teacher-generated reading and writing assignments

D. Individualized reading and writing assignments from GED preparation books

E. Independent study including reading and writing assignments and video/DVD viewing

F. Multi-media presentation including GED video programs via broadcast on KLCS or

videocassette/DVD.

EVALUATION A. Diagnostic and practice tests

B. Teacher developed tests based on the competencies in this course outline.

C. Class participation

D. Written assignments

E. Teacher evaluation

Thirty semester units of elective credit can be granted by achievement of passing scores in all areas of the Tests of General Educational Development or achievement of a GED composite score of 2250 (minimum 410 on any individual test) on "The Official GED Practice Test". A student demonstrating competency in one or more sections of the GED Test Preparation course by either passing a section of the GED tests or achieving a GED score of 450 or better on "The Official GED Practice Test," will not be required to complete the competencies for that section of the course in this outline in order to receive credit.

Statement for Civil Rights

All educational and vocational opportunities are offered without regard to race, color, national origin, gender, or disability.