1. Lesson 1.2.2 Concept: Representing Comparisons
In mathematics, we often compare quantities, representations, strategies, and solutions.  We do this to gain a deeper understanding of the problems we are working with.  In this lesson, you will focus on comparing different arrangements of pennies or dots and the quantities they represent.  As you think about comparison and equality with your team, ask the following questions to help focus your discussion.
Which is greater?
Are they the same?
Which representation best describes the quantity? .

2. 1-51. Cody and Jett each have a handful of pennies
1-51. Cody and Jett each have a handful of pennies.  Cody has arranged his pennies into 3 sets of 16, and has 9 leftover pennies.  Jett has 6 sets of 9 pennies, and 4 leftover pennies.  Each student thinks he has the most pennies.
a. Work on your own to draw a diagram and write an expression with numbers that represent the way Cody could have arranged his pennies (3 sets of 16 with 9 leftover pennies). 
Is there a different way you could have represented this same number of pennies with a number expression?
Then do the same for Jett’s pennies (6 sets of 9 pennies with 4 leftover pennies).
b. Compare your results with your team.
Copy the different numerical expressions for each student from your team to your paper.
Decide which arrangements best represent the groups of pennies held by Cody and Jett. 

3. 1-51. Cody and Jett each have a handful of pennies
1-51. Cody and Jett each have a handful of pennies.  Cody has arranged his pennies into 3 sets of 16, and has 9 leftover pennies.  Jett has 6 sets of 9 pennies, and 4 leftover pennies.  Each student thinks he has the most pennies.
c. Which student has more pennies?  How did you figure this out?
d. Jett decided to rearrange all of his pennies into groups of 10, even though one group will not be complete.  How many groups can he make? Draw a diagram. Represent his new grouping with a number expression?

4. 52. 
a. Write a numerical expressions from each teams“Pennies Poster” and solve to show how many pennies each team had.
Which team received the greatest number of pennies? 
Which team received the least? 
Where was your team in comparison to the other teams?
b. Compare your team’s value (how many total pennies) to at least two other teams.  Express each of your comparisons with both a number and a word sentence.
For example: Team A may have written “5 sets of 25 pennies, or 5(25),” while Team B may have written “5 sets of 17 pennies and 2, or 5(17) + 2.”  To compare, you would use the less than (<) or greater than (>) symbol to write a number sentence like: 5(25) > 5(17) + 2.  The corresponding word sentence might be, “5 sets of 25 pennies is greater than 5 sets of 17 pennies with two more.”
c. Consider the teams that have the greatest and the least number of pennies.  How many would one team have to give to the other so that both teams have the same amount?  Show how you figured this out.

5. 54. Allen and Dwayne would like help comparing two piles of pennies
54. Allen and Dwayne would like help comparing two piles of pennies.  The pennies are arranged and represented in the diagrams below.
Which pile has more pennies? How do you know?
With your team, write expressions that represent each pile.  Then write a comparison of these expressions showing if one is greater than the other or if they are the same. ( use <, >, or = )

6. 55. Doreen and Delilah were comparing pennies from two teams. 
They wrote the comparison statement 6(16) + 3 > 4(9) + 4(9) + 2. 
Draw an arrangement each side of the statement could represent. 
Is the comparison statement true. Explain in words.

7. Tonight’s homework is…
1.2.2 Review & Preview, problems #57 to #61.
Label your assignment with your name and Lesson number in the upper right hand corner of a piece of notebook paper. (Lesson 1.2.2)
Show all work and justify your answers for full credit.

8. Daily Closure:
Return Group folder to the math box.
Return your individual Concept Notebook to the math section of your binder.
Return the group supply box to the cart after making sure all supplies have been stored in the box and the lid is secured.
Record Review/Preview for lesson #36-40 in your homework planner.