Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Newsletter 2009 Volume 1, Issue 2 Math 6-Unit 2: Factors & Multiples Dear Parents, Below you will find information regarding Unit 2: Factors and Multiples. Look for additional newsletters for future units. Students will be able to: ● Calculate multiples and factors of given numbers ● Identify prime and composite numbers ● Decompose numbers into their prime factorizations using exponents ● Determine the least common multiple (LCM) and the greatest common factor (GCF) for a set of numbers. Vocabulary Multiple: The product of a given number and a whole number Factor: A whole number that divides evenly into another whole number, or a number which is multiplied by another number to get a product Least Common Multiple (LCM): The smallest number that is a multiple of two or more given numbers Greatest Common Factor (GCF): The largest common factor of two or more given numbers Prime: A number greater than 1 whose only factors are itself and the 1 (Remember: 1 is neither prime nor composite) Composite: A number greater than 1 which has more than 2 factors Exponents: The number which indicates how many times the base is used as a factor Prime Factorization: A number written as the product of its prime factors For more definitions, check http://intermath.coe.uga.edu/ Holt Mathematics Course 1 by Holt Chapter 4: Lessons 1, 2, & 3 Chapter 5: Lesson 1 Online: http://go.hrw.com/gopages/index.html -Holt Site http://mathforum.org/dr.math/faq/faq.divisibili ty.html www.amblesideprimary.com/ambleweb/menta lmaths/gameshow.html www.321know.com/fra63ax2.htm Ways Parents Can Help Here are some activities you and your student can do together: Items that are used together like hot dogs and buns or paper cups and paper plates, are often sold in different size packages. Look for examples of these in stores. Discuss the smallest number of packages of each item that you must buy so that every hot dog has a bun or every plate has a cup. Ask, “How many hot dogs with buns would we have to buy to not have any leftovers?” or “How many place settings (cup and plate) will we have to purchase so that there are an even number of place settings?” Look at the numbers on car license plates or house numbers. Discuss whether the number is prime or composite and explain how you can tell. If it is composite, find its prime factorization. You can also use your divisibility rules to tell whether the numbers are divisible by 2, 3, 4, 5, 6, 8, 9, & 10! Practice Problems 1. You have 32 apples, 18 pears and 16 bananas to place in gift baskets. How many gift baskets can you create if you have an equal number of each fruit in each basket? 2. What is the prime factorization of 180? 3. A CCT bus arrives at a terminal every 15 minutes. A shuttle bus to the mall arrives at the terminal every 18 minutes. If both buses just arrived to the terminal, how many more minutes would pass until both buses were at the terminal at the same time again? Answers 1. 2 baskets. Find the greatest common factor (GCF) of 32, 18 and 16 32: 1, 2, 4, 8, 16, 32 18: 1, 2, 3, 6, 9, 18 16: 1, 2, 4, 8, 16 2. 2² x 3² x 5 3. 90 minutes – Find the least common multiple (LCM) for 15 and 18 15: 15, 30, 45, 60, 75, 90 18: 18, 36, 54, 72, 90