Maryland Grade 1 Math

This original classroom activity is independent practice.

Try the problem

A class counts 57 paper counters. One student makes five groups of ten and leaves seven counters loose. Another uses four groups of ten and seventeen loose counters. Can both arrangements represent 57? Explain with a drawing or counters, and write an equation for each arrangement. Count a group of ten as ten individual objects, not as one object.

Work through the explanation

Five tens are 50, so the first arrangement gives 50 + 7 = 57. Four tens are 40, and 40 + 17 = 57, so the second is also correct. To move between the arrangements, open one group of ten from the first arrangement. Those ten join the seven loose counters to make seventeen; no counter is added or taken away. The usual tens-and-ones description of the numeral is five tens and seven ones. A regrouped arrangement can use fewer tens and more loose ones while preserving the same total. Ask the child to describe what happened to the opened group rather than only announce that the answers match.

Check the reasoning

An incorrect response might count five groups and seven loose counters as twelve objects. That treats unlike units as if they were all single counters. Point to the ten counters inside each group and connect the group to the number 10. Another error is to change five tens to four tens while leaving seven ones unchanged; that gives 47, because ten counters have been omitted. A regrouping must account for the objects transferred from the group to the loose collection. In a real demonstration, count the objects before and after to check the model. It is fine to give an oral explanation before asking for a written equation.

Try a related task

Represent 63 as six tens and three ones, then as five tens and thirteen ones. Explain why the total stays 63. For a different decomposition, compare 30 + 33 with the usual tens-and-ones form. Record whether the child preserves the total, understands what a ten represents, and connects the drawing with the equation. Continue through the school’s sequence; these examples address selected number representations rather than every Grade 1 expectation.

Selected references from revised Maryland mathematics standards

The Maryland mathematics standards directory links grade-specific 2025 crosswalk documents. Their covers identify adoption in July 2025 and implementation in SY 2026–27. Read the 2025 standards columns; the 2010 columns show previous requirements. These selected references identify the worked activity’s focus. The expectations include numbered requirements, examples, and mathematical practices. Read the full document and confirm the school’s current instructional sequence.

Sources checked October 6, 2026. Read complete requirements, clarifications, limitations, and mathematical practices alongside the school’s sequence. This selected activity is an entry point for instruction.

Connect the explanation with practice

Visit the Grade 1 math learning Online Center for broader support or choose a related task from the existing Grade 1 worksheet collection. This is a general collection, not a certification of complete Maryland alignment.

Grade 1 is below Maryland’s statewide mathematics testing range, which begins in Grade 3. Use classroom observations, models, and explanations to plan early learning. Maryland announced a transition from MCAP to MSTAR beginning in 2026–27. Older MCAP-named books and practice retain their published names and are independent supplements. Their timers, question counts, tools, and scoring are not official MSTAR specifications or predictions of a state performance level. Read the May 2026 state board report, PDF page 12 (archived copy).

The live MSDE site displayed a maintenance notice during review and linked an archived backup. These curriculum references use working archived copies of the revised state documents. Check the school’s sequence and MSDE for later updates. Check MSDE updates.

Keep one example of the student’s reasoning with the practice result. Choose a smaller model, a related question, or a new context according to the difficulty revealed in the worked activity.

Maryland Grade 1 math: useful study questions