The Exit Ticket That Says "6"
Mr. Patel's first grade has 19 students. The end-of-unit exit ticket asks students to draw 63 with tens and ones and to answer "What is the value of the 6 in 63?" Results: 15 students build 63 correctly with base-ten blocks or drawings, 11 of the 19 write "6" for the value of the digit, four write "60," and four answer correctly. The district pacing guide says two-digit addition within 100 begins Monday, and the unit test is in three weeks. The math coach's advice is that "the test is the test - move on." Three students read below grade level, so the teacher read the items aloud.
1. What does the error pattern indicate, and what would you do to confirm it before reteaching?
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The split is informative. Fifteen students can represent 63, but 11 say the 6 is worth "6." That separates the ability to build a quantity from understanding that a digit carries a value determined by its position. The error is not random carelessness; it is a coherent but incomplete idea - the digit names itself.
Confirm with three or four short interviews rather than another worksheet:
- Show 63 in blocks and ask, "How much is this part worth?" pointing to the tens.
- Ask, "Which is bigger, the 6 in 63 or the 3? Why?"
- Show 46 and 64 and ask which has more tens.
If students answer correctly aloud but wrong on paper, the item format or the read-aloud may be the problem. If they say "six" aloud too, the misconception is real and conceptual. Check whether the 11 cluster among the students who count by ones - that would suggest they have not yet unitized ten, which calls for different reteaching than a naming correction.
2. How do you respond instructionally without abandoning the pacing guide?
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You do not need to stop the calendar to fix this, but "move on" as stated would build two-digit addition on a cracked foundation. Use a two-tier response:
- Whole class, 5–8 minutes of number talks daily for a week: "How much is the 4 in 46?" with bundles of straws and a place-value mat, emphasizing that 6 tens are 60. Brief, daily, interactive - not a new unit.
- Tier 2 group of the 11 students, 10 minutes during centers or warm-up, four days a week: place-value mats, ten-frames, bundles of ten, and language like "six tens and three ones is sixty-three." Have them say the value, not the digit name.
- Proceed with addition within 100 but keep base-ten blocks available and model with them for the first week, so the new content reinforces place value instead of bypassing it.
Tell the coach what you are doing and why, citing the 11-of-19 data. The three weeks before the unit test give room for both the pacing and the repair.
3. How will you know the reteach worked, and what if six of the eleven still answer "6"?
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Use parallel but not identical items: "What is the value of the 7 in 74?", "Which number has 5 tens?", and a transfer item such as "I have 3 tens and 8 ones - what number am I?" Add a quick oral check for four or five students, since the written format may not capture what they know.
Decision rule: if at least eight of the eleven answer correctly on the parallel items and explain one answer aloud, the reteach took and you continue with addition while keeping blocks available. If six or more still say "6," the problem is likely unitizing rather than labeling - they do not yet see ten ones as a single unit. In that case, spend a week on bundling and unbundling (grouping ten ones into a ten, breaking it apart) with concrete materials before returning to written place-value questions, and flag the issue to the second-grade team. Repeated worksheets on "value of the digit" would only rehearse the same wording, not build the unit concept.