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The Number Devil Pacing Schedule (This will give you a couple of weeks of “wiggle room” in the marking period.) Week 1: Week 2: Week 3: Week 4: Week 5: Week 6: The First Night and The Second Night The Third Night and The Fourth Night The Fifth Night and The Sixth Night The Seventh Night and The Eighth Night The Ninth Night and The Tenth Night The Eleventh Night and The Twelfth Night Name: Period: Bellwork The Number Devil First and Second Nights 1. Write the palindrome answer for the following questions. DO NOT use a calculator. a.) 11x11= b.) 1111x1111= c.) 111111x111111= 2. Will this pattern work for multiplication problems that follow this format? Prove your answer. 3. Write your year of birth in Roman Numerals. 4. What is the math term for “hopping?” Name: Period: Bellwork The Number Devil Third and Fourth Nights 1. What two prima donna (prime numbers) add to 58? 2. What three prima donna (prime numbers) add to 27? 3. Categorize the following numbers as prima donna (prime), ordinary (natural) or neither. a.) b.) c.) d.) 0 ___________ 1 ___________ 2 ___________ 23___________ Name: Period: Bellwork 1 3 The Number Devil 6 10 15 Fifth and Sixth Nights 21 28 36 45 55 1. The box above lists the first 10 triangular numbers. If the pattern continues, what would be the next three numbers in the set? 3. Which of the following sets represents the first 4 pentagonal numbers? a.) 1 3 6 10 b.) 1 4 9 16 c.) 1 5 12 22 d.) 1 6 15 28 4. Complete the chart using this picture which illustrates Bonacci (Fibonacci Sequence.) Row # # of stems 1 2 3 4 5 6 7 Name: Period: Bellwork The Number Devil Seventh and Eighth Nights 1. Identify and explain two patterns from the Number Triangle (Pascal’s Triangle). 1. When Al, Betsy, Charlie, Doris, Enrique, Felice, Gary, Hugh, Iris, Jamil, and Karen were all in the classroom, how many different ways could they arrange their desks? You may use a calculator. (Hint: 11 vroom!) Name: Period: Bellwork The Number Devil Ninth and Tenth Nights 1. Use <, =, >, ≤, or ≥ to make the statement true. ½ + ¼ + 1/8 + 1/16 +1/32 1 2. Draw and label two 1 dimensional figures that prove The Number Devil’s theory that Dots + Sides –Lines =1. 3. What is the correct math vocabulary for the following: Dots: Side: Lines: Name: Period: Bellwork The Number Devil Eleventh and Twelfth Nights 1. Please list three math concepts that you learned, relearned or were surprised by reading The Number Devil. Enrichment/Extension Projects 1. Create your own fractal. Check out this website for a unit on Fractals. http://math.rice.edu/~lanius/frac/index.html 2. Use the Coolmath4kids website to create fractals. http://www.coolmath4kids.com/fractals.html 3. Have students complete this PBS lesson relating theoretical probability and Pascal’s triangle. http://www.pbs.org/teachers/mathline/lessonplans/pdf/msmp/smithville.pdf 4. Research prime numbers. Try this site: http://www.mersenne.org/prime.htm 5. Research any of the topics from the book.