In Lesson 3.1.4, you worked with your team to find ways of comparing one representation of a portion to another.  Today you will continue to find new and efficient ways to convert one representation into another.

67. CONVERTING BETWEEN PERCENTS AND DECIMALS Alejandro wants to find a shortcut for changing a percent to an equivalent decimal.  Work with your team to investigate how to make this change quickly. Explore using Base Ten Block (CPM). Each person should build a different portion on a 100% block and then name the portion as a percent and a decimal.  Combine results from your team in a table like the one at right. With your team, find ways to describe any patterns you see.    Use 100% blocks to explain why the patterns you noticed make sense.  Rewrite the following percents as decimals. 4% 76% 120% 100% 32.5% e. Now reverse your thinking to rewrite the following decimals as percents. 0.31 0.06 1.16

68. CONVERTING FROM FRACTIONS TO DECIMALS Julia wants to convert   to a decimal. She is sure there is a faster way to convert it than to build it on a hundred block and then to use the block to determine what decimal is represented. Julia knows that fractions are about finding parts, so she drew the segment below.  Sketch the segment on your paper and then divide it into five equal parts.  Each mark you drew represents what fraction of the whole?  Label the first mark with the appropriate fraction. The sections you made in part (a) each represent one (1) whole divided into five (5) parts.  How can you use your calculator to find the decimal value for   ?  Add the appropriate decimal value label to the first  mark. Julia is still trying to figure out what decimal to write for  .  What should she write?  What if Julia was thinking about  ?  How can she use her knowledge of the decimal value of   to find the decimal value of  ? How can you use the ideas in this problem to find the decimal value of   ?   ?  Describe how to do this for any fraction.

69. Complete each Representations of a Portion Web below. c. d.

70. Tracy was comparing the following lengths 70.Tracy was comparing the following lengths.  Order the lengths from shortest to longest.   feet      feet     3.55 feet     3.7 feet 71. Additional Challenge:  Look for patterns as you consider the following sequences of fractions. What patterns do you notice in the list of fractions  Convert each of the fractions in part (a) into decimals.  (It is okay to use a calculator.)  Convert each of the fractions in part (c) into decimals. Describe any patterns you notice in the fractions and decimals for each list.  

72. LEARNING LOG Title this entry “Converting Between Fractions, Decimals, and Percents” Label it with today’s date. Today you have worked with your team to find more efficient ways to convert between equivalent forms of portions.  In your Learning Log, summarize what you have done today by answering the following three questions: How can I convert a percent to a decimal? How can I convert a decimal to a percent? How can I go from a fraction to a decimal?

Tonight’s homework is… 3.1.5 Review & Preview, problems #73 – 77 Label your assignment with your name and Lesson number in the upper right hand corner of a piece of notebook paper. (Lesson 3.1.5) Show all work and justify your answers for full credit.