Percents

At your desk:Math JournalPlannerMath Survey worksheet (on tables)Textbook hunt (on tables)

By the end of class today:You will be able to familiarize yourself with our class.

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Emergency Procedures

EvacuationLine# 32Lock downEarthquake Complete Warm-Up in journalList the factors of 21.

List the factors of 12.

What fraction is represented by the model?

Write two fractions that are equivalent to

1, 2, 3, 4, 6, 121, 3, 7, 21

FractionA number that represents a part of a whole number.

Equivalent FractionsFractions that represent the same number but have different numerators and denominators.

Greatest Common FactorGreatest factor that is common to two or more numbers.

Simplest FormWhen a numerator and denominators only common factor is 1.Vocabulary:

Example 1Find two fractions that are equivalent to .

Multiply the top and bottom bythe same number.

Divide the top and bottom bythe same number.

Explore!Fraction TilesEach large rectangle below represents one whole. Each rectangle is divided into equal parts. It is called a fraction bar. Step 1Write a fraction to representnumber of shaded sectionstotal number of sections for each fraction bar.

Step 2Match each fraction in the left column with its equivalent fraction in the right column. Write the pair of equivalent fractions. For example, .

Step 3Write a third equivalent fraction for each pair in Step 2.6Explore!Fraction TilesStep 5The fractions in the left column are in simplest form. Look at the fractions in the left column compared to those in the right column and explain what simplest form means.Step 4Draw two fraction bars to show and . Are these equivalent fractions? Explain. If so, write a third equivalent fraction to and .

7Example 2Find the GCF of 24 and 36.

Look at the prime factorization of 24 and 36.

The common prime factors of24 and 36 are 2, 2 and 3.

The GCF can be found my multiplyingthese factors together.

A factor tree may help.36

49

2 23 3

8Writing Fractions in Simplest FormDivide the numerator and denominator by the greatest common factor (GCF).

- OR -

Divide the numerator and denominator by common factors until the only common factor is 1.9Example 3a.Write the fraction in simplest form:

Find GCF of 20 and 50.20 = 2 2 5 50 = 2 5 5

The common prime factorsGCF = 2 5 = 10of 20 and 50 are 2 and 5.

Divide the numerator anddenominator by the GCF.

in simplest form is

10Example 3 Continuedb.Write the fraction in simplest form:

One common factor of45 and 60 is 5.

Divide the numerator anddenominator by 5.

A common factor of9 and 12 is 3.

Divide the numerator anddenominator by 3.

in simplest form is

11Communication Prompt(in journals)Describe a situation where you might see a fraction that is not in simplest form.12Homework:

1.1 worksheet

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