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Math 67 Unit 2 Fun and Games
Volume 1 Issue 2
Dear Parents,
Below is information regarding Unit 2, Fun and Games. Look for additional newsletters for future units.
FUN AND GAMES
Students will be able to:
●
Calculate multiples and factors of given numbers
●
Identify prime, composite, and square numbers
●
Decompose numbers into their prime factorizations
●
Determine the least common factor (LCM) and the greatest
common factor (GCF) for a set of numbers.
Vocabulary
Arrays: rectangular arrangements that have = numbers in rows and columns
Decompose/Prime Factorization: the process of factoring terms & numbers in an expression; the expression of
a composite number as a product of prime numbers
Exponent: the number of times a number is used as a factor of repeated multiplication-also called the “power.”
Fundamental Theorem of Arithmetic: Every integer>1 is either prime or can be written as a product of primes.
Multiple: The product of a given number and a whole number.
Factor: A whole number that divides evenly into another whole number.
LCM: The smallest number that is a multiple of 2 or more numbers.
GCF: The largest number that is a factor of 2 or more numbers.
Prime number: A number whose only factors are itself and the number 1. (#1 is neither prime nor composite)
Square number: A number that is the product of another number multiplied by itself.
For more definitions, check
http://intermath.coe.uga.edu/
Textbook Connection
Holt Mathematics Course 1 by Holt
 Chapter 4
Lessons 2, 3
 Chapter 5
Lesson 1
Online:
Textbook Connection
 http://go.hrw.com/gopages/index.html -Holt Site
 http://mathforum.org/dr.math/faq/faq.divisibility.html
 www.amblesideprimary.com/ambleweb/mentalmaths/
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?” (LCM)
 Look at the numbers on car license plates. Discuss whether the number is prime or composite
and explain how you can tell. If it is composite, find its prime factorization.
 Consider the house numbers of houses on your street. Are any of them square numbers or do
they have factors that are square numbers? Do they have factors that are square numbers?
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?
4. Use the clues below to determine my secret number:
Clue 1: My number is a factor of 72. What is the smallest my number could be?
The largest? Why? Is the number a factor of 720? Of 12? How do you
know?
Clue 2: 48 is a multiple of my number. (Now, what are the possibilities?)
Clue 3: My number is prime. (Can you tell what my number is now?)
Clue 4: My number is even. What is my number?
Answers
Sample response:
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
15: 15, 30, 45, 60, 75, 90
18: 18, 36, 54, 72, 90
4. 2