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Six Facets of Understanding

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Six Facets of Understanding

Andrew Maio

SED-544

Dr. Heard

Six Facets:

Explanation is the first Facet. “Explanation is defined as sophisticated and apt theories and illustrations, which provide knowledgeable and justified accounts of events, actions, and idea” (Wiggins & McTighe, 2005).

Activity 1:

Students will use red and black checkers, to use to understand positive and negative integers. Students will use the checkers to help them visually see how many positive or negative checkers when performing problems.

Activity2:

Students will create a picture on a piece of graph paper in quadrant one the students will then rotate the picture 180 degrees.

Activity 3:

Student will use graphs to answer questions on a work sheet.

Interpretation is the second Facet. “Interpretation is defined as interpretations, narratives, and translations that provide meaning” (Wiggins & McTighe, 2005).

The goal is to find the meaning of readings, activities and other types of media.

Interpretation can leads to gray area. There is not definite right or wrong answer.

Activity 1:

This activity is works with PEMDAS and why it is important. Students will receive a work sheet with math equation. There will be multiple-choice answers. The student will have to figure out which answer correctly goes with PEMDAS.

Activity 2:

Students will interpret graphs to calculate future results of student growth in Rochester City school district.

Activity 3:

Students will be given a worksheet with pictures that are rotated, reflected and translated. It is up to the student to interpret the pictures and decide which term fits each problem.

Application is the third facet. “Application is the ability to use knowledge effectively in new situations and diverse, realistic contexts” (Wiggins & McTighe, 2005).

Activity 1:

The school wants to put new floors in the following rooms, GYM, classroom and Cafeteria. Students will have to find the area of these rooms to see how much floor they need to buy to do these floors.

Activity 2:

Students will learn how to balance a checkbook and balance a hypothetical checkbook of their own.

Activity 3:

This activity students will have to figure out how many gallons of water will fill 3 different types of swimming pools.

Perspective is the fourth facet. “Perspective is the critical and insightful points of view” (Wiggins & McTighe, 2005).

Activity 1:

Students will play the game phase 24 advance, where they have to put multiple operations together to get an answer that equals 24.

Activity 2:

Students will finish the worksheet on proofs. They have to prove the statement to be true or false.

Activity 3:

Students will do a worksheet on binomials.

Empathy is the fifth facet. “Empathy is the ability to get inside another person’s feelings and worldview” (Wiggins & McTighe, 2005).

Activity 1:

Students will work in partners to review previous course materials. They will use each other to fill out the study guide.

Activity 2:

Students will create their own lesson to teach a certain topic to help study for the final. The student should use their personal challenges to create an affective lesson.

Activity 3:

Students will create a list for the up coming class to help them to be successful in class.

Facet 6: Self-Knowledge is the sixth facet. “Self Knowledge is the wisdom to know one’s ignorance and how one’s patterns of thought and action inform as well as prejudice understanding” (Wiggins & McTighe, 2005).

Blind Spots- can cause prejudice and oversights in thinking. It is important to understand blind spots and be open minded to make a non-prejudice decision (Wiggins & McTighe, 2005).

Activity 1:
Do now: five questions on the upcoming unit to see what students already know.

Activity 2:

Math jeopardy on the first day of school to see what students know about the upcoming year

Activity 3:

Basket ball game: Students will answer questions on an upcoming unit and will get a chance to shoot one basket. If they make the basket they will receive a point the team that has the most points wins a prize.

EEI Lesson Plan Template Email Address: Andrewmaio12@gmail.com Date: 7/24/2103VITAL INFORMATION | Author : AJ Maio | *Subject(s) math | Topic or Unit of Study: Rationale and irrational numbers | *Grade/Level 8th grade | *Summary: Today students will understand the difference between rational and irrational numbers. | STANDARDS AND DIFFERENTIATED INSTRUCTION: | *Standards:“8.NS.A.1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number” (Arizona Common Core, 2013). | | EEI (ESSENTIAL ELEMENTS OF INSTRUCTION) - LESSON PLAN ELEMENTS REQUIRED: | Objective: Student will be able to know the difference between irrational and rational numbers. | Anticipatory Set: This lesson will discuss the difference between irrational and rational numbers and students will be able to Do Now: Worksheet Circle the number you believe are irrational | Teach Lesson Rational numbers are all numbers that can have a repeating decimal. Examples are 5.000, ¾, .9 Irrational numbers are numbers that cannot be expressed, as the quotient of two integers, such as the denominator is not 0.Examples are 5/0, radical 7 and pie. | Guided Practice Students will put numbers in a graphic organizer to determine if they are rational or irrational numbers. (Arizona Common Core, 2013) |

Independent Practice
Students will continue and work on another work sheet to determine rational and irrational numbers. All the irrational numbers will give you a letter and the letters together will create a phrase.

Closure: Ticket out the door. The ticket out the door is 5 regents’ questions that deal with real numbers. This is an assessment that will be collected afterwards to figure out if students understand the material.

Evaluation Assessment/Rubrics:

Ticket out the door: The ticket out the door is 5 regents’ questions that deal with real numbers. This is an assessment that will be collected afterwards to figure out if students understand the material.

Materials and Resources

Instructional Materials
Do Now Work Sheet
Independent Practice Worksheet
Ticket out the door:

Eei leson plan template. (n.d.). Retrieved from http://www.gcu.edu/College-of-Education/Clinical-Practice/Clinical-Practice-Resources.php

EEI Lesson Plan Template Email Address: Andrewmaio12@gmail.com Date: 7/24/2103VITAL INFORMATION | Author : AJ Maio | *Subject(s) math | Topic or Unit of Study: Rationale and irrational numbers | *Grade/Level 8th grade | *Summary: Today students will understand scientific notation and how to convert decimals into scientific notation. | STANDARDS AND DIFFERENTIATED INSTRUCTION: | *Standards:“8.EE.A.4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology” (Arizona Common Core, 2013). | | EEI (ESSENTIAL ELEMENTS OF INSTRUCTION) - LESSON PLAN ELEMENTS REQUIRED: | Objective: Student will be able to understand the reasoning for scientific notation and be able to convert decimals in to scientific notation. | Anticipatory Set: This lesson will discuss the difference between irrational and rational numbers and students will be able to Do Now: Worksheet on previous lesson of a single number times an integer power of 10 | Teach Lesson Scientific notation helps scientist make big numbers more manageable. 10000 = 1 x 104 | 24327 = 2.4327 x 104 | 1000 = 1 x 103 | 7354 = 7.354 x 103 | 100 = 1 x 102 | 482 = 4.82 x 102 | 10 = 1 x 101 | 89 = 8.9 x 101 (not usually done) | 1 = 100 | | 1/10 = 0.1 = 1 x 10-1 | 0.32 = 3.2 x 10-1 (not usually done) | 1/100 = 0.01 = 1 x 10-2 | 0.053 = 5.3 x 10-2 | 1/1000 = 0.001 = 1 x 10-3 | 0.0078 = 7.8 x 10-3 | 1/10000 = 0.0001 = 1 x 10-4 | 0.00044 = 4.4 x 10-4 |
(Arizona Common Core, 2013) | Guided Practice We will go over problems on the smart board. Each student will have a dry erase board and will write down the answer when the question is presented. |

Independent Practice

Students will follow their scientific research and transform data into scientific notation and use it to follow through the rest of the problem.

Closure:

Ticket out the door: Students will perform 5 regents questions on scientific notation.

Evaluation Assessment/Rubrics:

The ticket out the door is 5 regents’ questions that deal with scientific notation. This is an assessment that will be collected afterwards to figure out if students understand the material.

Materials and Resources
Instructional Materials
Do Now Work Sheet
Independent Practice Worksheet
Ticket out the door:

Eei leson plan template. (n.d.). Retrieved from http://www.gcu.edu/College-of-Education/Clinical-Practice/Clinical-Practice-Resources.php

Assessment

Ticket out the Door

Name___________________________________

1 Radical 7 is a rational number True or False

2 -3/4 is an irrational number True or False

3 Pie is a rational number True or False

4 5.6986 is an rational number True or False

5. 1,000 is an rational number True or False

6. Write a rational number ____________________

7. Write an irrational number_______________________

Scientific Notation Assessment

Ticket out the Door

Name____________________________________________

What is 160 ?
160
0
16
1 * 2. Give the standard form for 5.86 x 106 * A. 5 860 000 * B. 0.000 005 86 * C. 586 000 000
5.86 x 106 *
Which of the following is written in correct form for scientific notation ? A. 12.45 X 1000 B. 1.245 X 105 C. 0.0012 X 103 D. 100 + 25 + 0.1 + 0.05 *
Write 1770 in scientific notation. E. 177 X 101 F. 17.7 X 102 G. 0.177 X 104 H. 1.77 X 103 * * 5. Write the following number in Scientific Notation .00000009 * * Place answer here_______________________________

Reference:

(2013). Arizona common core standards. Arizona: Arizona Department of Education.

Eei leson plan template. (n.d.). Retrieved from http://www.gcu.edu/College-of-Education/Clinical-Practice/Clinical-Practice-Resources.php

Wiggins, G., McTighe, J. (2005). Understanding by Design. Alexandria, VA.
Association of Supervision and Curriculum Development.

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