ACADEMIC PREPARATION

WEEK FIVE DAY ONE

Lesson Title: Geometry / Angles  

Subject Matter / Life Skill Area: Math                                   

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Class discussion, individual practice and application  

Overview / Rationale:  

The purpose of this lesson is to help students understand the various types of angles and be able to identify and solve angles problems on the GED examination.  

Learning Objectives / Skills:  

At the end of this lesson, students will be able to identify various common angles, understand angle relationships, and solve simple angle problems.  

Skills: Math, problem solving, knowing how to learn, reasoning, monitors and corrects performance  

Materials / Equipment Needed:            

Masking tape

Box of toothpicks

GED book with angles exercises

Paper and pencils

Chalkboard and chalk  

How to Prepare:

The instructor should be familiar with what angles are, what types are used on the GED exam, and how to solve angle problems.

Introduction / Warm Up / Review:  

Ask students to look around the room and find two lines that connect at a point. (Corner of a table, other corners, especially if they are not 90 degrees). As they mention various intersections, try marking them by placing masking tape to form the angle. Two lines must extend from the same point (vertex). They can be smaller than or larger than 90 degrees.  

Presentation of Lesson:  

After the angles have been marked with masking tape, demonstrate to students what a 90-degree angle looks like, such as the square corner of a table. Write the word "right angle" on the board and tell students that it is exactly 90 degrees. Ask students to identify how many right angles were marked with tape.  

Ask students to identify whether any other angles were marked that were less than square. Write the word "acute = 0-89" on the board. Do the same for angles over 90 degrees. Write the word "obtuse = 91-179" on the board.  

Find some straight lines, such as the side of a book or paper. Write "straight = exactly 180" on the board.  Do the same for a reflex angle, which is more than 180 degrees but less than 360 degrees.

Practice / Activity:                        

Pass out the toothpicks to the students. Have students practice arranging the toothpicks to form the various types of angles listed on the board. As students make angles, get them to tell each other which type of angle they have made. Circulate and quiz students on their angles.  

Have students turn to a page in the GED book that displays the angles. Have students look at the page. Students should notice that the angles displayed have a small curve near the vertex that indicates the opening. Ask students why the curve would be important (helps to determine the type of angle).  

Have students do an exercise that requires them to identify angles.  

Practice / Activity:

Repeat the process of making angles with toothpicks, but this time explain angle relationships. The three that are necessary to learn for the GED examination are: supplementary angles, complementary angles, and vertical angles.

Have students complete an exercise that helps them to identify the three angle relationships.

Application / Transfer:

Explain to students that our world is made of geometry angles and that if they can identify common angles found in their surroundings and be able to identify them, they can use that as a reminder of geometry angles while taking the GED exam.               

Have students complete angles word problems listed in the GED book. The problems require using simple addition/subtraction skills. Encourage students to see geometry as part of our everyday world.                       

Reflection by Teacher:  

Were students able to identify and solve angles word problems?  

Planning for Next Lesson:  

Encourage students follow-up with GED software in Technology. Students will study triangles in the next lesson. Review the four triangles that are necessary to learn for the GED exam.  

Lesson Title: Writing: Parallel Structures, Dangling and Misplaced Modifiers  

Subject Matter / Life Skill Area: English, Writing   

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Group, individual and pair practice.  

Overview / Rationale:  

The purpose of this lesson is to provide students with the opportunity to practice skills needed for the GED Writing Skills Test as well as to become familiar with the personal qualities needed by workers in a high performance work environment as identified in  SCANS (The Secretary of Labor’s  Commission on Achieving Necessary Skills). Students will take a closer look at these personal qualities in Day four.  

Learning Objectives / Skills:  

At the completion of this lesson, students will be able to 1) combine sentences by using modifying phrases, identify and correct dangling and misplaced modifiers in a variety of sentences, and  2) edit  parallel structures.

Skills: Teamwork, writing  

Materials / Equipment Needed: 

Overhead Projector

Transparencies

Transparency Pens

Handout:  Parallel Structures

GED workbook, such as Contemporary’s GED

Introduction / Warm Up / Review:

Inform students that in today’s lesson they will be practicing skills needed for the GED Writing Test, i.e. combining sentences by using modifying phrases, identifying and correcting dangling and misplaced modifiers, and checking that all parallel structures are written in the same form.

Presentation of Lesson:

Write a simple declarative sentence on the left side of the blackboard and a second sentence that adds information or description on the right side of the board. For example:

 I heard the fire alarm.                                           It was ringing very loudly.  

Ask students to combine the two sentences.

For example:            I heard the fire alarm ringing very loudly.  

Ask students if the sentence could be written as: Ringing very loudly, I heard the fire alarm. Discuss why this is incorrect.

Practice / Activity:  

Modifiers  

Divide the class into two teams. Team A must compose 5 simple declarative sentences, and write them on the left side of the blackboard. Team B must write a sentence that adds information or description to those written by Team A.  

Give the teams a few minutes to combine the sentences and write them on a transparency.  At the end of the time period, announce “time’s up.” Ask each team to share their combined sentences on the overhead projector, evaluate them together, and award 1 point for each correct sentence.  

To provide students with additional individual practice, use a GED workbook, such as Contemporary’s GED that provides exercises and answers for self-correction.  

Application / Transfer:    

Parallel Structures 

Use a GED workbook, such as Contemporary’s GED to review parallel structures. Remind students that in sentences, two or more elements that have the same function must be written in the same form. Be sure to check verb tenses, parts of speech, singular/plural, etc.                        

Practice exercises in a workbook to identify parallel structures. Distribute the handout, “Parallel Structures” to the students. Explain to the students that this handout contains a list of 5 personal qualities which employers have identified as being important qualities for their employees and which they will be working with in Day 4 of this week.

Divide the students into 5 groups and assign each group one section to edit for parallel structures. Students should identify the errors (2 in each section) and make the necessary corrections.  

Use a transparency of the handout to correct as a whole group with each group identifying the errors they found, and their corrections. Have the class evaluate and make the appropriate changes to their sheets.  

Reflection by Teacher:  

Are the students able to identify and correct sentences that contain dangling and misplaced modifiers as well as identify and edit sentences that contain parallel structures? Did the practice activities engage the students? Was there sufficient time to accomplish all of the objectives? 

Planning for Next Lesson:  

Review lesson on sentence structure. Have students access GED software that pertains to writing and English.    


ACADEMIC PREPARATION

WEEK FIVE DAY TWO

Lesson Title: Geometry Triangles

Subject Matter / Life Skill Area: Math

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Class discussion, individual practice and application  

Overview / Rationale:

The purpose of this lesson is to help students understand the various types of triangles and be able to identify and solve triangle problems on the GED examination.

Learning Objectives / Skills:

At the end of this lesson, students will be able to identify various common triangles, understand triangle relationships, and solve simple triangle problems.

Skills: Math, problem solving, knowing how to learn, reasoning, monitors and corrects performance

Materials / Equipment Needed:

Masking tape

Box of toothpicks

GED book with triangles exercises

Paper and pencils

Chalkboard and chalk

How to Prepare:

The instructor should be familiar with what triangles are, what types are used on the GED exam, and how to solve triangle problems.

Introduction / Warm Up / Review:  

Ask students to recall the shape of a triangle. As they tell you what it is shaped like, ask them to describe it as you draw it on the board. Ask students if triangles can be different shapes.

Students should say yes, and as they do, ask the particular student to come to the board and draw the shape of the triangle. If possible, identify the triangles that students have drawn. There are four types that are used on the GED exam. Write the name of the triangle by each one, if possible. If students do not draw appropriate triangles for this lesson, redraw where necessary.

Presentation of Lesson:

After the triangles have been identified, ask students to look at the triangle equilateral triangle. Ask students to identify what is 'equal' about this triangle. They should say that all three sides are equal. Have students make an equilateral triangle with their toothpicks.

Repeat this same procedure for the isoceles, the scalene, and the right triangles. Have students make the various triangles with their toothpicks, but they may need to add/or break toothpicks to accomplish the task. Get students to tell share their triangles with neighbors by identifying them and asking neighbors to identify theirs.

Practice / Activity:  

Have students turn to a page in the GED book that displays the triangles. Have students look at the page. Students should notice that the triangles displayed have a small box in the corner of a right triangle and that the other triangles give a degree identification. Ask students why they would need to have the degree and ask them how they can use that to identify the triangles.

Have students do an exercise that requires them to identify triangles. Students can use their toothpicks when necessary.    

Have students complete an exercise that helps them to solve triangle relationships.

Application / Transfer:

Explain to students that our world is made of geometry triangles and that if they can identify similarity triangles found in their surroundings and be able to identify them, they can use that as a reminder of geometry triangles while taking the GED exam.              

Have students complete similarity triangles word problems listed in the GED book. The problems require using simple addition/subtraction skills. Encourage students to see geometry as part of our everyday world.

Repeat the process for congruent triangles. Go over the conditions for congruent triangles. Have students work from the text to solve congruent triangle problems.

Reflection by Teacher:

Were students able to identify and solve angles word problems?

Planning for Next Lesson:

Encourage students follow-up with GED software in Technology. Students will study square roots in the next lesson. Review the four triangles that are necessary to learn for the GED exam.  


ACADEMIC PREPARATION

WEEK FIVE DAY TWO  

Lesson Title: Writing: Parallel Structures, Dangling and Misplaced Modifiers

Subject Matter / Life Skill Area: English, Writing

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Group, individual and pair practice.  

Overview / Rationale:  

The purpose of this lesson is to provide students with the opportunity to practice skills needed for the GED Writing Skills Test as well as to become familiar with the personal qualities needed by workers in a high performance work environment as identified in  SCANS (The Secretary of Labor’s  Commission on Achieving Necessary Skills). Students will take a closer look at these personal qualities in Day four.

Learning Objectives / Skills:  

At the completion of this lesson, students will be able to 1) combine sentences by using modifying phrases, identify and correct dangling and misplaced modifiers in a variety of sentences, and  2) edit  parallel structures.

Skills: Teamwork, writing

Materials / Equipment Needed:

Overhead Projector

Transparencies

Transparency Pens

Handout:  Parallel Structures

GED workbook, such as Contemporary’s GED

Introduction / Warm Up / Review:

Inform students that in today’s lesson they will be practicing skills needed for the GED Writing Test, i.e. combining sentences by using modifying phrases, identifying and correcting dangling and misplaced modifiers, and checking that all parallel structures are written in the same form.

Presentation of Lesson:  

Write a simple declarative sentence on the left side of the blackboard and a second sentence that adds information or description on the right side of the board. For example:  

 I heard the fire alarm.                                           It was ringing very loudly.  

Ask students to combine the two sentences.

For example:            I heard the fire alarm ringing very loudly.  

Ask students if the sentence could be written as: Ringing very loudly, I heard the fire alarm. Discuss why this is incorrect.  

Practice / Activity:  

Modifiers  

Divide the class into two teams. Team A must compose 5 simple declarative sentences, and write them on the left side of the blackboard. Team B must write a sentence that adds information or description to those written by Team A.  

Give the teams a few minutes to combine the sentences and write them on a transparency.  At the end of the time period, announce “time’s up.” Ask each team to share their combined sentences on the overhead projector, evaluate them together, and award 1 point for each correct sentence.  

To provide students with additional individual practice, use a GED workbook, such as Contemporary’s GED that provides exercises and answers for self-correction.    

Application / Transfer:  

Parallel Structures 

Use a GED workbook, such as Contemporary’s GED to review parallel structures. Remind students that in sentences, two or more elements that have the same function must be written in the same form. Be sure to check verb tenses, parts of speech, singular/plural, etc.                        

Practice exercises in a workbook to identify parallel structures. Distribute the handout, “Parallel Structures” to the students. Explain to the students that this handout contains a list of 5 personal qualities which employers have identified as being important qualities for their employees and which they will be working with in Day 4 of this week.  

Divide the students into 5 groups and assign each group one section to edit for parallel structures. Students should identify the errors (2 in each section) and make the necessary corrections.  

Use a transparency of the handout to correct as a whole group with each group identifying the errors they found, and their corrections. Have the class evaluate and make the appropriate changes to their sheets.  

Reflection by Teacher:

 Are the students able to identify and correct sentences that contain dangling and misplaced modifiers as well as identify and edit sentences that contain parallel structures? Did the practice activities engage the students? Was there sufficient time to accomplish all of the objectives? 

Planning for Next Lesson:  

Review lesson on sentence structure. Have students access GED software that pertains to writing and English.


ACADEMIC PREPARATION

WEEK FIVE DAY THREE

Lesson Title: Geometry Square Roots  

Subject Matter / Life Skill Area: Math                                   

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Class discussion, individual practice and application  

Overview / Rationale:  

The purpose of this lesson is to help students understand the square roots and be able to identify and solve square root problems on the GED examination.  

Learning Objectives / Skills:  

At the end of this lesson, students will be able to identify  

Skills: Math, problem solving, knowing how to learn, reasoning, monitors and corrects performance  

Materials / Equipment Needed:            

GED book with square roots exercises

Paper and pencils

Chalkboard and chalk

How to Prepare:

The instructor should be familiar with what square roots are, what types of square root problems are used on the GED exam, and how to solve square roots problems. 

Introduction / Warm Up / Review:

Write (vertically) the numbers 4, 9, 16, and 25 on the board. Ask students to look at the numbers and decide if there is a number that can be multiplied by itself to equal each of the numbers. Give students the opportunity to work it out on paper. As they work it out, draw the square root symbol over the number listed on the board and an equal sign with the correct answer. Repeat the process for each of the numbers listed on the board.

Presentation of Lesson:

Have students turn to their GED books to a page that has a list of common square roots. Have students look at the list and note any patterns. For instance, numbers with zeros at the end. Have students copy the list down and allow them some time to memorize or become familiar with the list.

Practice / Activity:  

Explain to students that there are several methods for finding square roots:

1.      Estimate the square root by using knowledge of common square roots.

2.      Averaging.

3.      Use the answers that are provided for on a multiple-choice question.

Have students practice each of the methods with some examples that you put on the board. For some examples, use a GED text with these three methods listed.

Application / Transfer: 

Have students complete square root problems listed in the GED book. The problems require using simple multiplication skills. Encourage students to glance at multiple choice answers as they are working the methods. They may combine the methods to help them estimate the answer.

Reflection by Teacher:

Were students able to identify and solve square roots?

Planning for Next Lesson:

Encourage students follow-up with GED software in Technology. Students will study the Pythagorean theory in the next lesson. Review the square roots chart at the beginning of the next class.

Lesson Title: Interpreting Non-Fiction  

Subject Matter: Academic: Reading/Writing  

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Individual, small group

Overview / Rationale:  

The purpose of this activity is to provide students with practice reading and interpreting newspaper articles.  

Learning Objective / Skills:  

At the completion of this lesson, students will be able to identify the source, author and purpose of an assigned newspaper article. They will be able to determine if the author’s viewpoint is subjective or objective, discuss the main points of the article, extract key facts from the article, and prepare a series of questions for a fellow classmate to answer.  

Skills: Reading, Critical Thinking, Interpreting and Communicating Information 

Materials / Equipment Needed: 

Copies of two articles on hot jobs from the Washington Post

Handout: Questions to be Answered, one for each student  

How to Prepare:  

In today’s lesson, students will be reading an article from the Washington Post that profiles a worker in a growing profession. After reading the article, they will discuss in a small group what are the pros and cons of this job and whether or not they would be interested in learning more about this field. They will also prepare a series of questions to be used as a comprehension check for another group of students. 

Introduction / Warm Up / Review:                                    

Review with the students what they know about non-fiction and what are some good strategies for interpreting what they read. For example, identifying the author’s purpose for writing the piece, determining if the author uses an objective or subjective style, and being aware of the source and date of the material.

Presentation of Lesson:

Divide the class into two groups. Each group will read a different article but will answer the same questions. Review the questions with the whole class before handing out the articles. Be sure everyone is clear about the questions and the assignment.

Practice / Activity:  

Distribute the articles and questions to the students. When students have finished reading and briefly answered the questions independently, have them form two discussion groups, one for each article, to discuss the reading and their answers to the questions. Ask one member from each group to briefly describe their findings to the whole class.

Application / Transfer:  

Have each student compose a study guide or comprehension check for his/her article. First , the student should review his/her article again and write down 5 to 10 interesting  and important facts, ideas or opinions from the article. From this list, each student is to compose a set of questions that will be answered by a classmate tomorrow. Explain to the students that this is also a good strategy to use when studying for a test. By selecting the important information and composing questions about the material, one is reviewing and aiding one’s memory at the same time.

* Students will need to save both their list of important facts and their questions for use in tomorrow’s lesson.

Reflection by Teacher:

When checking the questions that the students have composed, the teacher will be able to determine if the students have identified the key points of the articles and if they have been able to write questions in the correct format. If question formation is a problem, some time can be spent at the beginning of the next class to review this and to make any needed corrections before the questions are given to a classmate.

Planning for Next Lesson:

Students will need the questions and lists they composed today to do tomorrow' s work. It assumes that students are familiar with dependent and independent clauses and have some knowledge of conjunctions and conjunctive adverbs.

Handout

QUESTIONS TO BE ANSWERED BY EACH GROUP  

1.      What is the title of the article? 

2.      Who is the author? 

3.      What is the source for this article? 

4.      When was the article written? 

As you read the article, consider: 

1.      Are the author’s opinions expressed (subjective viewpoint) or does he/she keep to the facts (objective viewpoint)? Why do think so? 

2.      What are the positives and negatives of the job that is being described? 

3.      Is this a field of employment you would be interested in learning more about?

Why or why not?

After you have read the article and answered the above questions, join your classmates who have read the same article and discuss your answers.


ACADEMIC PREPARATION

WEEK FIVE DAY FOUR

Lesson Title: Geometry: Pythagorean Theory  

Subject Matter / Life Skill Area: Math

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Class discussion, individual practice and application  

Overview / Rationale:

The purpose of this lesson is to help students understand the special relationship among the sides of a right triangle. This relationship is called the Pythagorean Theorem, named after the Greek mathematician who discovered it.  

Learning Objectives / Skills:  

At the end of this lesson, students will be able to identify when to use the theory and be able to solve triangle problems.

Skills: Math, problem solving, knowing how to learn, reasoning, monitors and corrects performance  

Materials / Equipment Needed:            

GED book with angles exercises

Paper and pencils

Chalkboard and chalk

How to Prepare:

The instructor should be familiar with what triangles are, what types are used on the GED exam, and how to solve triangle problems using the Pythagorean Theory.

Introduction / Warm Up / Review:

Review square roots with students. Have them call out some common square roots and list them on the board.  

Have students recall what a right triangle is. Draw an example of one on the board, listing the length of two of the sides (9 and 16 would be good examples). The long side should be un-numbered, representing the hypotenuse.

Then ask students what information is missing. They should say the length of the side without a number. Ask them if that side is longer or shorter than the other sides. They should say longer. Label it as ‘hypotenuse’ and let students know that the hypotenuse is always the longest side. Write ‘c2 = hypotenuse’ on the board. That is the first part of the formula.

Presentation of Lesson:

Get students to tell you what the square root for 9 is and also for 16.  Write the answers on the board 3squared and 4squared. Write the formula for the theory on the board (c squared = a squared + b squared) Get students to help you plug in the numbers from the example. They won’t have a number yet for the hypotenuse, but they can put the three and the nine in the a and b slots.

Show students how to work the formula, but try to get them to walk you through it by recalling square root skills learned previously.

Practice / Activity:                        

Turn to a GED text page that has examples that feature the Pythagorean Theorem. Have students work through several example problems with a partner. The examples should include how to solve for the length of a hypotenuse as well as a missing side of a triangle. When someone has a question, stop the class and work the question on the board, if it pertains to solving the example.

After students have finished working together with their partner, bring the class back together to solve the example problems as a group. Use the blackboard for instruction and walk through each problem, why you plugged in numbers and where, how to solve the square root first and then add, and how one part of the equation will be solved last when the other numbers have provided an answer.  

Application / Transfer:

Have students work individually on some right triangle problems using the Pythagorean Theorem. Lend assistance when necessary. When students have finished the problems, review as a class and go over any areas where students had difficulty.

Students should review this and other geometry assignments for homework.

Reflection by Teacher:

Students will need to be able to convert word problems into pictures and they should feel comfortable with that translation, as well as plugging numbers into the appropriate places in the formula.

Planning for Next Lesson:

Encourage students follow-up with GED software in Technology. Students will study geometry word problems in the next lesson. Review the geometry formulas and applications that have been learned so far at the beginning of the next lesson. Review problem solving for geometry in a GED text.      

Lesson Title: Best Qualities of a Good Employee  

Subject Matter / Life Skill Area: Academic: Reading/Writing                                   

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: One hour  

Instruction Type: Class discussion, individual practice and application  

Overview / Rationale:  

The purpose of this lesson is to focus on personal qualities valued by employers, to help students identify and understand these as well as to articulate their own strengths in a persuasive paragraph.  

Learning Objectives / Skills:  

At the end of this lesson, the student will be able to list personal qualities which are valuable in the workplace, skim a worksheet for necessary information and write a persuasive paragraph about why he/she should be hired.  

Skills: Reading, Writing, Decision Making, and Self-Management  

Materials / Equipment Needed:

Handout: One copy of the SCANS personal qualities list for each student (This list was used by students in day 1 of week 5).

Transparency of the same list for the teacher

Highlighters

Overhead Projector

How to Prepare:

In today’s lesson students are going to read about the kinds of personal qualities which are valued by employers, identify their own strengths, and write a persuasive paragraph informing an employer why they should be hired. This will prepare them for job interviews when you are asked the question: “Why should I hire you?”  

Introduction / Warm Up / Review:  

Brainstorm with the class the best qualities of a good employee. List them on the board or overhead. For example, students may identify: honest, reliable, punctual, etc. Have students copy this list.  

Presentation of Lesson:  

Give each student the section of the SCANS report which identifies the personal qualities which are most valued by employers in today’s workplace. Read the five main headings together, discuss what is meant by each term.  

Ask students to skim the SCANS article for the items on the class-generated list. Highlight these on the SCANS worksheet and write the SCANS word next to the list word.  Inform students that in some cases they may find a synonym is used, for example, if the students had identified being flexible as a desirable personal quality, they may identify and highlight adaptability.  

Ask students to share the qualities they have found. Teacher highlights these on her transparency so students can compare their own work with each other’s.  

Practice / Activity:                        

Have students create a third list of qualities that are identified on the SCAN worksheet but not on their original list.                       

Teacher elicits these from students and lists them on her transparency. Discuss what each of these mean and why employers would value it. Discuss those qualities which were contained on the students’ own list but not included on the SCANS worksheet.  

Application / Transfer:                       

Using the five personal qualities they have identified for themselves, ask students to write a persuasive paragraph on the topic: Why should I hire you. Remind students that a good paragraph contains a topic sentence, supporting sentences and a concluding sentence.  

Have students read their paragraphs to each other and evaluate whether or not the writer made a clear and persuasive argument. Was there a clear topic sentence? Were the supporting sentences relevant to the topic? Was the concluding sentence a strong summary of the paragraph?                       

Ask students how they might use this information in a job interview. 

Ask students to take a few moments to reflect on the lists of personal qualities and select five that they think characterize themselves. Jot these down in their journal with a short description of why these qualities apply to them. For example, I am very goal-oriented. I set clear goals for myself and carry through with those goals; or, I am punctual. I always arrive at work and at school on time.                       

Reflection by Teacher:  

Were students able to formulate a paragraph that made a clear and persuasive argument about why they should be hired?  

Planning for Next Lesson:  

Students will continue with writing exercises for the next week. Encourage students to review the writing exercises in their GED book.    


ACADEMIC PREPARATION

WEEK FIVE DAY FIVE  

Lesson Title: Geometry: Word Problems    

Subject Matter / Life Skill Area: Math                                  

Learning Level / Prerequisite Skills: 9th grade reading and math levels  

Lesson Length: Two hours  

Instruction Type: Class discussion, individual practice and application  

Overview / Rationale:  

The purpose of this lesson is to help students understand how to solve word problems with geometry topics.  

Learning Objectives / Skills:  

At the end of this lesson, students will be able to identify when to use problem-solving skills, be able to use the formulas page, and be able to solve geometry word problems.  

Skills: Math, problem solving, knowing how to learn, reasoning, monitors and corrects performance  

Materials / Equipment Needed:            

GED book with word problems exercises and Geometry formulas  

Paper and pencils

Chalkboard and chalk

How to Prepare:

The instructor should be familiar with how to use a geometry formulas page and how to teach students how to access the formulas for problem solving. 

Introduction / Warm Up / Review:  

Review geometry formulas with students. Have students turn to the geometry formulas page and review the formulas listed. Ask appropriate questions pertaining to geometry formulas, such as the difference between area and perimeter, etc.  

Assign a problem from the text for each of the formulas listed. Allow students time to complete the problems, about thirty minutes.  

Presentation of Lesson:  

Go over key words for each of the formulas listed on the formulas page. Shapes, length, width, tall, long, distance, flat surface, figures are clues to what is being measured. 

Facilitate a discussion on finding clues by having students find problems in their book that have descriptive words in the problem. Categorize the words into formulas such as area, perimeter, etc. Have students copy down the list. 

Practice / Activity:  

Write the following on the board:

1.      Read the problem carefully.

2.      Describe what you are dealing with and what formula applies.

3.      Decide which formula to use and solve.

Review the list with students and answer any questions they have. 

Turn to a GED text page that has examples of geometry word problems. Have students work through an example problem with a partner. Have each pair team-teach their problem to each other.

After students have finished working together with their partner, bring the class back together to solve the example problems as a group. If pairs are comfortable, give them the opportunity to team-teach their problem to the class. Use the blackboard for instruction and walk through each problem, why you plugged in numbers and where, how to solve word problems.    

Application / Transfer:  

Have students work individually on geometry word problems. Lend assistance when necessary. When students have finished the problems, review as a class and go over any areas where students had difficulty.  

Students should review this and other geometry assignments for homework.                        

Reflection by Teacher:  

Students will need to be able to convert word problems into pictures and they should feel comfortable with that translation, as well as plugging numbers into the appropriate places in the formula. 

Planning for Next Lesson:  

Encourage students follow-up with GED software in Technology. Review the geometry formulas and applications that have been learned so far at the beginning of the next lesson. Review problem solving for geometry in a GED text. Students will begin work on signed numbers next week. Review all academic lessons for the coming week.

 

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