Vermont Grade 3 Math

Rows first, then rows used

A fictional class has 24 square tiles. It arranges them in rows of 4 tiles, then uses 2 complete rows for a display. How many complete rows remain? Write an equation using r for the remaining number of rows. Explain why subtracting 2 from 24 first would answer a different question.

Follow the reasoning

Dividing 24 tiles by 4 tiles per row gives 6 rows. Using 2 of those rows leaves 6 − 2 = 4 rows. An equation is r = 24 ÷ 4 − 2, so r = 4. Subtracting 2 from 24 would remove two tiles, while the problem removes two entire rows, or eight tiles. A second check uses that tile count: 24 − 8 = 16 tiles, and 16 ÷ 4 = 4 rows. The answer is reasonable because fewer than the original six rows remain, and the used and remaining rows together account for all 24 tiles.

Check the explanation

The division here produces a whole number of complete rows. The number 2 names rows, not tiles. Label the quantities before choosing the order of operations; a familiar calculation is useful only when it represents the question.

Try the next step

Change the starting total to 28 tiles, keep four tiles per row, and use three complete rows. Explain r = 28 ÷ 4 − 3 = 4 rows. Check by subtracting the twelve used tiles before dividing the remaining sixteen.

Vermont reference for this worked activity

The Vermont mathematics standards directory identifies Common Core State Standards adoption in 2010. The linked publisher PDF is the June 2010 CCSS mathematics edition; the upload directory date does not establish a new adoption. The agency also lists Vermont Early Learning Standards through Grade 3. Read the complete requirements and the school’s current curriculum sequence. The reference below selects one worked focus.

This selected reference identifies the activity focus. The complete standard and grade curriculum include additional work. These labels do not certify alignment of every independent lesson, worksheet, or quiz in the broader directory.

Choose a next task from the student’s explanation

Use a different set of numbers to check whether the student can explain the same relationship. If the explanation is unclear, return to the model; if the reasoning is sound but a calculation is wrong, work through a shorter calculation and check it against the model. Use the related learning resources alongside the teacher’s assigned goals.

The Vermont Agency of Education Academic Proficiency overview lists general VTCAP English and mathematics assessment in Grades 3–9. Grade 3 is included in that mathematics range. Follow the school’s current directions and accommodations. Independently published practice follows its own timing, tools, question count, and scoring; its result does not establish a state performance level. This original activity is not an official state assessment question. Read Vermont assessment guidance.

State sources and the selected complete PDF page checked October 6, 2026. Confirm later guidance and local assignments before planning assessment preparation.