Base ten number system summary sheet
Question  Cena  Brandon  Catrina  Johnathan  Rudy 
What did the student do?

Describes the procedure to count 49 stars grouped by tens and left overs. Counts 18 tiles, writes 18, and says the 18 on paper is 9 tiles. Groups 24 tiles in two groups of ten and four left over. Couldn't tell how many total tiles. Aske how many tiles take from 24 to get 16. Removed 6 and counted the number left as 18. Writes 18, counts 18, shows 8 represents 8 and 1 represents 1 and only 9 are needed to make 18. Have 9 and now 4 more, then have how many all together? Count 13 tiles. Could you make a pile of ten? yes. How many extras? One. Does. Count ten and notice three without counting. 
Show what 16 is with tiles. Knew how one and six were represented with the tiles. 
There are 24 tiles because there are 10 and 10 and 4. Writes 24. To make 16 need to take eight away. Take six away and then take the rest away. 
Count by tens  10, 20, 30 ... I'll count them... Counts by ones, groups then by 10 and 10 and 4. 10, 20, 21, 22, 23, 24. Writes 24. To make 16 counts by ones to 16. Writes 16. Says the six means six tiles. Count by tens andleft over. The right side is the left over and the left side is the tens. Ifyou put 16 into tens the left overs would be maybe three or around there. 16 and 5 is 21. Writes 21. By looking at it there would be two tens and probably none left over. 
Counts tiles by twos and gets two groups of ten and four left over. That is 24 because 10 and 10 is 20 and 4 more makes 24. Writes 24. Take away eight from 24 to get 16. Writes 16. The number one in 16 is represented with 10 tiles and the number six with six. Write 27. That would be two groups of 10 and seven extra. 16 would be one group of 10 and 6 extra. Jar half full of kidney beans is 76. That is seven 10s and 6 ones. 
What can be inferred about what the student knows because of what the student did?


Where in your sequence might the student's understanding be among the list of understandings in that sequence? What evidence can you give to support that placement?


What activities, from the book, could be used to build on these student's understanding and move them toward mathematical literacy?

What I learned about the base ten number system