Mathematics Pacing Resource Document 6.NS.6 Standard: 6.NS.6: Identify and explain prime and composite numbers. Teacher Background Information: A prime number is any natural number with exactly 2 factors, 1 and itself. Any numbers with three factors or more is a composite number. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers. The prime numbers between 2 and 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. http://www.numberphile.com/videos/1notprime.html Video explaining the mathematics behind why 1 is neither prime nor composite. http://www.kidnexions.com/kidsmath/lessons/ Scroll down to Using Rectangular Arrays to Teach Number Concepts (Grades 2-5). Process Standards to Emphasize with Instruction of 6.NS.6: 6.PS.2: Reason abstractly and quantitatively. 6.PS.4: Model with mathematics. 6.PS.7: Look for and make use of structure. Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.NS.6 Standard: 6.NS.6: Identify and explain prime and composite numbers. Lesson Plans/Print Activities: Web-based Practice: http://alex.state.al.us/lesson_view.php?id=26336 Exploring Prime & Composite Numbers Lesson Plan http://studyjams.scholastic.com/studyjams/jams/math/multiplicat ion-division/prime-composite-numbers.htm https://grade4commoncoremath.wikispaces.hcpss.org/file/view/Investiga ting%20Prime%20and%20Composite%20Numbers.pdf/402791576/Investi gating%20Prime%20and%20Composite%20Numbers.pdf Investigating Prime & Composite Numbers Lesson Plan http://www.sheppardsoftware.com/mathgames/numbers/fruit_sh oot_prime.htm Prime and Composite Fruit Splat Game – Multiple Levels http://teachers.net/lessons/posts/2955.html Prime and Composite Numbers with use of manipulatives http://www.sheppardsoftware.com/mathgames/monkeydrive/nu mbers/MDPrimeNumbers.htm Online Game http://www.mathnook.com/math/skill/primecompositegames.php List of Prime and Composite games http://www.mathplayground.com/howto_primenumbers.html Web-based lesson on prime and composite numbers http://www.erusd.k12.ca.us/ProjectAlphaWeb/index_files/NS/Prime%20 &%20Composite%20Numbers%20-%20Multiples%20%285%29.pdf Prime and Composite Collaborative Lesson Study http://www.uen.org/Lessonplan/preview.cgi?LPid=15423 Students will use manipulatives to learn about composite and prime numbers. http://teachertech.rice.edu/Participants/louviere/Lessons/primeACT.html Prime Time Sieve of Eratosthenes activity Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.NS.6 Item Bank: 1) Which of the following lists contains only prime numbers? [IPS C&I]Answer: D A) 4,12, 51 B) 1, 51, 7 C) 2, 91, 43 D) 23, 2, 227 2) How many prime numbers are there between the numbers 1 and 10? [IPS C&I] Answer: B A) 5 B) 4 C) 3 D) 6 3) Which of the following lists contains only composite numbers? [IPS C&I]Answer: A A) 15, 51, 24 B) 2, 8, 36 C) 48, 102, 7 D) 3, 7, 9 4) In the list below, how many of the following numbers are prime? Answer: 3 (41,43,47) [IPS C&I] 41, 42, 43, 44, 45, 46, 47, 48, 49 Answer:__________________________ In the space below: For each composite number list at least 2 factors in the space below: Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.NS.6 Item Bank: (ISTEP released item) Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.NS.6 Item Bank: Look at the highway signs below. Circle each highway sign whose number is prime. The four highway signs below lost their numbers. Each highway number is a composite number that is larger than 40 and less than 50. Fill in the signs with four different composite numbers that are between 40 and 50. Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.NS.6 Item Bank: Ashley and Devon were playing a game that involved rolling a die with twelve sides. Each side of the die is shown below. 1 2 3 4 5 6 7 8 9 10 11 12 Each player receives a point if he or she rolled a prime number. Shade in each shape that has a prime number. After playing for a while, Ashley said, “If you add two prime numbers, you always get a composite number.” Use the space below to see if Ashley’s statement is correct. Then, fill in the blanks to answer the questions at the bottom of the page. Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.NS.6 Item Bank: + > 15 The triangle and circle each represent two different prime numbers. When they are added, they make a sum larger than 15. Come up with three possible combinations for what the triangle and circle could represent. possible combination 1 possible combination 2 possible combination 3 = ____ = ____ = ____ = ____ = ____ = ____ Indianapolis Public Schools Curriculum and Instruction