5.5 Fractions and Decimals: Part 1 Tuesday, November 19, 2013

Math Response In your Math Notebook, label the top with the lesson, 5.5 and date For each number, show me how you can write the number as a fraction or mixed number and then as a decimal. Copy the exact format on the right and include your answers: 1) Number: three point nine Fraction/Mixed Number: ______ Decimal: ______ 2) Number: forty-five hundredths Fraction/Mixed Number: ______ Decimal: ______ 3) Number: nineteen-thousandths Fraction/Mixed Number: ______ Decimal: ______

Writing Fractions and Decimals Write each number as a fraction or a mixed number three-fourths four-fifths seven and six-twentieths five and one-half How can you convert these numbers so they can be written as decimals? **You can use mental math, the multiplication rule/ division rule to change each fraction to an equivalent fraction having a denominator of 10 or 100. Then write the new fraction as a decimal.

Converting Examples 3 * 25 = 75 = * 25 = 100 OR 7 6/20

Rounding Decimals Decimals can be rounded to a particular place in one of three ways: 1)Round down 2)Round up 3)Round to the nearest selected place

Let’s practice Watch the following video to review how to order fractions to decimals. Make sure you are watching the Step-by-Step and also the Try This! /fractions/order-fractions-decimals.htm

5.6 Fractions and Decimals: Part 2 Wednesday, November 20, 2013

Math Response In your Math Notebook, label the top with the lesson, 5.6 and date Using your SRB, turn to the probability meter on pg. 402 Look at the probability meter to answer the following question: How would you show someone what 1/8 dollar is worth? Explain using complete sentences.

Writing Fractions as Decimals Using the Fraction Stick Chart on SRB pg. 399 Example: What decimal is about equal to 2/3 ? Step 1: Use the thirds row and locate the fraction 2/3. Count the 1/3 bars from left to right: 2/3 is the right edge of the second bar. Step 2: Place one edge of a ruler/ straightedge at 2/3; that is along the right edge of the second 1/3 piece and is perpendicular to the Decimal Number Line. Step 3: Find where the straightedge crosses the number line. It crosses at about 0.67, so 2/3 is about 0.67

5.7 Fractions and Decimals: Part 3 Thursday, November 21, 2013

Math Response In your Math Notebook, label the top with the lesson, 5.7 and date In your SRB, turn to pgs Read about “Renaming fractions, decimals, and percents” Copy and complete the following problems in the chart found in “Check Your Understanding” Copy and complete the empty spaces for the last 3 rows where you will find: 0.35, 10 %, and 5/8. FractionDecimalPercent % 5/8

Using a calculator to convert fractions to decimals ½ 2/4 3/6 50/ /200 3/10 For each fraction, use a calculator to divide the numerator by the denominator. Does the calculator display agree with the decimal name you know? Turn to SRB pg You will use your calculator to divide the numerators by the denominators and write the decimal names next to the fractions. Some things to keep in mind: For mixed numbers, only divide the fraction part. The whole number remains the same. Compare decimals on the Probability Meter after converting fractions using a calculator. When you come across a repeating decimal, simply draw a bar over the number(s) that repeat. Example:

Let’s practice! Watch the following video on decimal-fractions- equivalents. /fractions/decimals-fractions-equivalents.htm

5.8 Using a Calculator to Convert Fractions to Decimals Friday, November 22, 2013

Math Response In your Math Notebook, label the top with the lesson, 5.8 and date Using your calculator, find a way to rename 4/7 as a percent without using the percent key. *Explain your answer with enough detail and in a complete sentence.

Strategies for the Math Response A fraction can be renamed as an equivalent percent by first renaming the fraction as a decimal, and then multiplying the result by 100. Example: Rename 4/7 as a percent. 1)Divide 4 by 7. The calculator displays )Multiply the result by 100. This is the percent equivalent of 4/ * = ) The whole number portion of the display represents whole percents. Round to the nearest whole percent: 57%

Reviewing the meaning of Percent The word percent comes from the Latin per centum : per means for ; and centum means one hundred. Just as a fraction represents a fraction of something; a percent represents a percent of something. That something is the whole (the ONE or unit). To understand a percent, you must know what represents the ONE: 50% of $1.00 is not the same as 50% of $1 million.

A variety of ways to express what the percent means… Example: Allison scored 80% on a test.  If the test had 100 questions, Allison answered 80 or 80/100 questions correctly.  Allison answered 80 out of every 100 questions correctly, or for every 100 questions, Allison answered 80 correctly.  How many questions did Allison answer correctly if there were…. 50 questions on the test? 10 questions? 200 questions?

Exploring the Purpose of Percents Percents are useful for making comparisons between quantities when the whole is not the same. For example: 8 correct on a test seems better than 4 correct on a test, but it depends on how many questions were on each test- 8 out of 20 questions, or 40 % is worse than 4 out of 5 questions or, 80% *Using percents is an efficient way to make comparisons when the whole or ONE differs

Converting fractions to percents Example: Tonya earned $167 setting up new computers for her neighbors. She spent $43 on software. Juan earned $219 teaching piano to children. He spent$51 on sheet music. Who spent the larger portion of their earnings? 1)Rename the fractions as decimals and compare. 2)Then rename the decimals as percents and compare.

In addition to multiplying by 100, decimals can be changed to percents in two other ways. 1)Round to the nearest hundredth. The decimal for Tonya, becomes 0.26, or 26% and the decimal for Juan, becomes 0.23 or 23% 2)Tonya spent $43/$167 or about 26% of her earnings and Juan spent $51/$219 or about 23%. Tonya spent a larger portion of her earnings than Juan did of his.

Let’s practice! After reviewing, let’s look and see how fractions, decimals, and percents are equivalent! /decimals-percents/decimal-fraction-percent- equivs.htm