## Unit 7 Fractions and Their Uses; Chance and Probability

Check out this equivalent fraction game.

Quizlet - Use this website to study and test your knowledge of math vocabulary.

Recognizing Student Achievement

Student’s are making adequate progress if they can demonstrate the following:

they can demonstrate the following:

Student’s are making adequate progress if they can demonstrate the following:

they can demonstrate the following:

- describe fractions as equal parts of a whole
- solve “fraction of problems”
- use basic probability terms to indicate the likelihood of an event
- describe the relationship between the whole and its fractional parts
- use pattern blocks to solve fraction addition problems
- estimate the measure of an angle
- describe a method for determining fractional equivalency
- rename tenths and hundredths as decimals
- compare fractions and explain strategies
- compare fractions and write a number model to illustrate comparisons
- express the probability of an event as a fraction
- predict the outcomes of an experiment and test the prediction using manipulatives

**Vocabulary**

**denominator**

**-**The number below the line in a fraction. The denominator represents the number of equal parts into which the whole is divided.

**equally likely**- If all the possibleoutcomes of a situation have the sameprobability, they are called equally likely outcomes.

**equivalent fractions**- Fractions with different denominators that have the same value. For example, 1/2 and 4/8 are equivalent fractions.

**Equivalent Fraction Rule -**To create an equivalent fraction, multiply or divide the numerator and denominator by the same non-zero number. When the numerator and denominator of a fraction are the same, the fraction equals 1. Therefore, when the Equivalent Fraction Rule is used, the original fraction is simply multiplied or divided by 1. Although this creates a new name for the fraction, the value has not changed.

**Example: To make an equivalent fraction for 1/2, we will multiply the numerator and denominator by 6.**

**The numerator in 1/2 is 1, so 1 x 6 = 6. This 6 becomes the "new" numerator.**

**The denominator in 1/2 is 2, so 2 x 6 = 12. This 12 becomes the "new" denominator.****Therefore 1/2 is equivalent to 6/12**

**event -**Something that happens. The probability of an event is the chance that an event will happen. For example, rolling a number less than 4 on a die is an event. The possible outcomes of rolling a die are 1, 2, 3, 4, 5, or 6. The event will happen if the number rolled is 1, 2, or 3. The chance that this will happen is 3 out of 6 or 3/6.

**fair die**- Each side of a fair die has an equal chance of being rolled.

**favorable outcome**- The outcome that satisfies the conditions of a particular event. For example, suppose a 6-sided die is rolled and the event of interest is rolling an even number. There are 6 total outcomes, but only three favorable outcomes; 2, 4, or 6.

**mixed number**- A number written using both a whole number and a fraction. for example 21/4 is a mixed number.

**numerator**- The number above the line in a fraction. The numerator represents the number of equal parts (of the whole) being considered.

**outcome**- A possible result of an experiment or situation. For example, heads and tails are two possible outcomes of flipping a coin.

**probability**- A number from 0 through 1 that tells the chance that an event will happen. The closer a probability is to 1, the more likely the event is to happen.

**whole (or ONE unit)**- The entire object, collection of objects, or quantity being considered. The ONE, the unit, 100%.