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Read the following scenario and then justify how both connections and communication are evident in the scenario.  Mr. Patel takes his first graders on a “shape hunt” around the classroom. Students use clipboards to sketch examples of circles, triangles, and rectangles they find in everyday objects (clock, window, rug). Back in class, they sort their sketches into categories and explain how they knew each shape belonged. Some students argue whether an object is a rectangle or square, supporting their ideas with attributes like “all sides are the same length.” The class then creates a poster of real-world examples of shapes.

The Constructivist theory proposes all of the following EXCEPT 

Students in EDE 3523 were given the following Problem of the Day to Solve: Chloe was graphing a parallelogram. Chloe graphed point A (1, 2), point B (7, 2), and point C (4, 6); but the coordinates of the fourth point, D, were smudged, so she couldn’t read them. What might her 4th point have been? Identify three possible ordered pairs for Chloe’s fourth point such that one results in a parallelogram that is completely in the first quadrant, one that results in a parallelogram that is partially in the second quadrant, and one that results in a parallelogram partially in the fourth quadrant. After solving the problem, students were asked to write two paragraphs. One paragraph was to focus on how they solved the problem and the other was to focus on why they solved the problem in whichever ways they chose.   Your task is this: Identify three Process Standards that are evident in this scenario and explain two specific ways in which each of the three Process Standards occurred. Additionally, identify which of the NCTM Content Standards is most evident in this scenario.

Short Discussion is expected. Your responses should be written in grammatically correct, complete sentences.

All of the following statements are true about oral cancer except:

The paper exam will be given in the lab on 11/20. The exam has a value of 80 points. 

Answer all the questions on paper and upload your scanned file when you are done Divide 53 by 12 using the Egyptian system. Then write the reminder as an Egyptian fraction. Show your steps. a) Write [124.12]5 in base 10.             b) Write 124.12 in base 5.  3. The base 2  is still used in many computer applications. So, in base 2, how would you write       a) how many fingers are in one hand?     b) how many days are in January?  4) Show  that 34 is not a triangular number  5) Evaluate the following infinite sum: +… 6) State the definition of commensurable and incommensurable numbers. Are the follow numbers commensurable or not?  5 and 4/3  2 and   3 and Extra credit. Up to 5 pts.  Prove that the  height of an equilateral  triangle is incommensurable with the side

Answer all the questions on paper and upload your scanned file when you are done 7. a) Multiply 33 by 10 using the Egyptian system.     b) Write 10/ 33 as an  Egyptian fraction. Show your steps. 8. a) Write [124.12]20 in base 10.      b) Write 124.12 in base 20. 9. In a far-away galaxy, extraterrestrials only have two fingers per hand.  Using the Martian numerals (0), (1), (2), (3), write: how many months are in a Earth’s year how many days are in a week 10. Prove or disprove the following conjecture: the sum of three consecutive square numbers is always measurable by three after the subtraction of two units. 11. Evaluate the following infinite sum: … State the definition of commensurable and incommensurable numbers. Are the following numbers commensurable or not? 5 and 4/3 2 and and Extra credit. Up to 5 pts.  Prove that the  height of an equilateral triangle is incommensurable with the side

Answer ONE of the following questions. The information that is not related to the questions asked will not be graded. Describe the positional system of numbers used by the Sumerians and compare it with the system of numbers that we use nowadays.  Did the ancient Egyptians use the same system of numbers that the Sumerian use?   Compare   these system of numbers,  pointing out to similarities and differences.   2. When did the  Sumerian  civilization flourish?  Do we have original documents that shed light on  the  Sumerian life and culture?  Which system of numbers did the Sumerian use?   Was their system positional or additive? It is true that the Sumerian knew how to solve quadratic equations? Explain. 3. When did a civilization in ancient  Greece develop?    What are the main known fact about the history of ancient Greece?  Do we have original documents from that period?   How did  Greeks wrote their numbers for everyday purposes?  Was their system of numbers positional or additive? 

What is the primary purpose of the blood-brain barrier?