PowerPoint created by Parsheena Berch Resource : JBHM material Pictures: Google Images

Word of the day: Rational Numbers: whole numbers, decimal numbers, and fractions.

Operations of Fractions

Bell Ringer: Page 53 in JBHM binder (DOK 2)

Focus/Introduction What happens when we multiply two numbers? Is the product larger or smaller than the multiplicand?” (The product is larger.) 3 x 5 = 15. Isn’t 15 larger than 3? Explore a couple of other examples as needed. Do you think this will be the same if we multiply a number by a number that is less than 1? When we multiply a number by a number smaller than one, the product is a smaller number. For example, 2 x ½ = 1. We will explore this concept as well as others involving fractions and the four mathematical operations in this lesson.

Guided Practice/Strategies: (DOK 1) You will follow along in your JBHM binder on pages 155 through 157.

Multiplying Proper Fractions:

Let’s Prove It!!!

Method 2: Cancelation

Method 3: Product of Primes 1.Find all prime factors for each numerator and denominator. 2.Cross out all like factors in the numerator and denominator. 3.Multiply all remaining numbers to get the answer. Your number is automatically reduced using this method. Also, if all factors in the numerator or denominator are crossed out, the value remaining is 1.

Use any of the three method to work the following examples:

Method 1: Straight Multiplication

Method 2: Cancellation

Method 3: Product of Primes 1.Change all mixed numbers to improper fractions. 2.Find all prime factors for each numerator and denominator. 3.Cross out all like factors in the numerator and denominator. 4.Multiply all remaining numbers to get the answer.

Your number is automatically reduced using this method. Also if all factors in the numerator or denominator are crossed out the value remaining is 1.

The reciprocal of a proper fraction is a number that when multiplied by the original number becomes the value of 1.

Independent Practice: (DOK 2) Envision Textbook: 7-10 on page on page on page 284. If you finish early work on page 285.

Closure:

Homework: 281 in Envision textbook Numbers 15, 16, 19, and 20