Density A lesson incorporating Discovery Education Streaming videos

Density A lesson incorporating Discovery Education Streaming videos

Density Objectives and expected level of performance are stated. 1. The student will state the “Density Property” in his/her own words. (Must be stated completely and correctly) 2. The student will give 3 examples within the stated range. (All 3 examples must be simplified and within the stated range)

Density Curriculum Alignment Clear evidence of connection to target curriculum. Frequent and clear references are made to facts, concepts, and cited resources. Students will learn from this project. PA MATH STANDARDS 2. 1. 8. C Numbers, Number Systems and Number Relationships Distinguish between and order rational and irrational numbers. 2. 4. 8. A Mathematical Reasoning and Connections Make conjectures based on logical reasoning and test conjectures by using counter-examples.

Density Use of Materials/ Technology All materials (including DE Streaming video) used in the lesson are included and sources are properly cited within the project according to APA style. Davidson Films. (1990). Between Rational Numbers [Full Video (9: 43)]. Available from http: //www. discoveryeducation. com/ Tyson, D. (2015). The Density Principle. [Web]. Retrieved from https: //docs. google. com/forms/d/1 p 8 zi. Jta 38 Qy. Q 0 OFd. Dylz. CPvwr 8 c. SDi. C 8 i. K 0 o. ZSNJok/viewform PA State. (2009). Math standards. Retrieved from http: //www. cmths. org/State%20 Standards%20 Website/Math. Stan. doc

Density Procedures/Assessments Clear sequence of strategies, strategies to meet individual/diverse student needs and means of determining individual student learning. 1. Proceed through the rest of this Powerpoint lesson, using the three pause-points to determine your understanding. 2. Complete the Google-docs Worksheet to verify your satisfactory completion of the assignment.

Density Evidence that objectives were met Acceptable evidence is clearly defined, measureable, and linked to stated objectives. 1. Google-docs Worksheet will be scored by the instructor. The student will receive feedback at the next class as to the evidence measured and objectives mastered.

Density Part 1: Click the video window to view the introduction and remember the characters names, the name of the contest, and the exact task each character is expected to perform. 3: 39

Density Self-evaluation: You are ready to move on if you know these answers. 1. What is the title of the video? 2. What was the one interest in common of all the knights? 3. What does the winner receive? 4. What kind of contest is it? 5. Who is Sir Lackhoof? 6. What is the exact task in the contest? If you are ready to move on, click: YES If you would like to review the first part again, click: REVIEW

Density Part 2: Click the video to view the next part and remember what the first two solutions were. 2: 05

Density Self-evaluation: You are ready to move on if you know these answers. 1. Where did Sir Lackhoof go to work on the contest? 2. What was the 1 st solution given to the King? 3. What was the 2 nd solution given to the King? 4. Which was closer? If you are ready to move on, click: YES If you would like to review the first part again, click: REVIEW

Density Part 3: Click the Play button to find out who won the contest and what the reward was. 3: 59

Density Self-evaluation: You are ready to move on if you know these answers. 1. Who won the contest? 2. What was the prize? 3. What was the next contest? 4. What did the King do when the second contest was announced? If you are ready to move on, click: YES If you would like to review the first part again, click: REVIEW

Density Congratulations! You have decided that you understand the Density Property, even though it wasn’t stated specifically: “The Density Property”: There is always another rational number between any two given rational numbers. Also true of real numbers: There is always another real number between any two given real numbers. Method one: Find a common denominator. Double all numbers. Pick the one in between. For example, between 1/3 and 3/8 … the common denominator is 24. So, 8/24 and 9/24 are the same as 16/48 and 18/48. Between these is 17/48. Method two: Known as “The Mc. Fatridge Theorem” all you do is add the numerators and add the denominators. For example, between 1/3 and 3/8 … Add 1+3 (numerators) … Add 3+8 (denominators) … 4/11 is between 1/3 and 3/8.

Density You are now ready to complete the Google-docs Worksheet to evaluate your understanding of this lesson. The worksheet will be submitted to your instructor. You will receive feedback at the next class. If you are ready to proceed, click: YES If you’d like to review, click one: BEGINNING - (the whole lesson) PART 1 - (introduction) PART 2 - (explanation of the contest) PART 3 - (winner of the contest)