T & T Math Meeting In one month, Charlie read 618 pages. In the same month, his mom read 6 times as many pages as Charlie, and that was 174 pages more than Charlie’s dad read.   What was the total number of pages read by Charlie and his parents?

T & T Math Meeting 2 2 = __ 3 3 = __ 4 4 = __ 12 12 = __ 120 120 = __

Mental Math and Fluency – from EM4 Software

Lesson 5-5 Adding Tenths and Hundredths

Begin With the End in Mind = 98 100 Overview: Students add unlike fractions with tenths and hundredths. 30 100

Math Message T & T Alex made a poster with 100 paper clips for the 100th day of school celebration. 2 10 of the paper clips were gold. 45 100 of the paper clips were silver. The rest were other colors. On your white board, write a number model with an unknown to represent the fraction of paper clips on Alex’s poster that are silver and gold.

F o l w U p What is the whole in the number story? Alex made a poster with 100 paper clips for the 100th day of school celebration. 2 10 of the paper clips were gold. 45 100 of the paper clips were silver. The rest were other colors. F o l w U p What is the whole in the number story? Do the fractions in the number story refer to the same whole? Look at the number models we wrote. How are the fractions in this number story different from the fractions in the number stories you have been asked to solve so far in this unit? 100 Paper Clips The fractions in this number story have been divided into different numbers of equivalent parts – tenths and hundredths. In the fraction addition problems we have solved so far, the fractions were divided into the same numbers of equal parts. The denominators, or the units, were the same.

Alex made a poster with 100 paper clips for the 100th day of school celebration. 2 10 of the paper clips were gold. 45 100 of the paper clips were silver. The rest were other colors. We know that in order to add fractions they must refer to the same whole. Do you think that to be added, they must have equivalent parts or the same denominator? F o l w U p

Suggest ways to solve the number story from the math message. Alex made a poster with 100 paper clips for the 100th day of school celebration. 2 10 of the paper clips were gold. 45 100 of the paper clips were silver. The rest were other colors. Suggest ways to solve the number story from the math message. F o l w U p

In this lesson, you will learn strategies for adding fractions with unlike denominators 10 and 100.

Alex made a poster with 100 paper clips for the 100th day of school celebration. 2 10 of the paper clips were gold. 45 100 of the paper clips were silver. The rest were other colors. Why would someone decide to change 2/10 to 20/100 rather than finding an equivalent fraction with 10 as the denominator for 45/100? F o l w U p Sample answer: I could change 2/10 to an even number of hundredths, but I couldn’t change 45/100 to an even number of tenths.

Alex made a poster with 100 paper clips for the 100th day of school celebration. 2 10 of the paper clips were gold. 45 100 of the paper clips were silver. The rest were other colors. F o l w U p

Let’s Practice In the final problem, the fraction with a denominator 100 can also be expressed as a fraction with a denominator 10. Question - How do you know when you can name a fraction with 100 in the denominator as an equivalent fraction with 10 in the denominator?

Let’s Practice In the final problem, the fraction with a denominator 100 can also be expressed as a fraction with a denominator 10. Question - How do you know when you can name a fraction with 100 in the denominator as an equivalent fraction with 10 in the denominator? Sample Answer: When the numerator is a multiple of 10, the fractions with 100 in the denominator can also be expressed as a fraction with 10 in the denominator.

Now try this problem 2 1 10 + 3 25 100 =

F o l w U p Now try this problem 2 1 10 + 3 25 100 =

F o l w U p Now try this problem 2 1 10 + 3 25 100 =

Work with a partner to complete page 164 (and page 165 if time permits). 11 minutes

Summary and Exit Ticket When adding fractions, why must you have the same denominator?