New Hampshire Grade 1 Math

A data display collects observations into categories. In this invented class poll, each child chooses exactly one fruit. The three categories therefore count different children, so adding their counts gives the total number of responses.

Try this original activity

The poll records four choices for apples, six for bananas, and three for pears. Build three rows of counters, using one counter for each choice. How many children answered? How many more chose bananas than pears? Explain the difference by pairing counters.

Work through the reasoning

The rows contain four, six, and three counters. Add 4 + 6 + 3 = 13, so thirteen children answered. To compare bananas with pears, pair one pear counter with one banana counter. Three banana counters have partners, and three remain without partners. Thus six is three more than three: 6 − 3 = 3. The banana category has the largest count, but its six choices are not more than the seven choices in the other two categories combined. Keeping the categories separate helps answer both the total question and the comparison question. Every counter represents one response, not an actual piece of fruit.

Check the common mistake

Adding six and three answers how many chose either bananas or pears; it does not answer how many more chose bananas. If a child chooses two fruits, the original counting rule breaks: the sum of category counts would no longer necessarily equal the number of children. For this activity, use one response per child. Do not describe these invented counts as a poll from a real school or as evidence about all children’s tastes.

Try a related case

Move one apple response into the pear category. The new counts are three apples, six bananas, and four pears. The total stays thirteen because one response changed categories instead of being added. The banana–pear difference becomes two. Ask the learner to explain why one answer stayed unchanged and the other changed.

Selected Common Core references for this activity

New Hampshire’s current school-approval rules, Ed 306.34, allow local boards to use the adopted 2010 Common Core mathematics standards or approved alternative academic standards. Confirm the school’s standards choice and local competencies first. The selected Common Core references below were checked in the original publisher’s 2010 document. They identify this activity’s focus, rather than a complete local course. Read the full requirements, mathematical practices, examples, and progression with the school’s curriculum.

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 New Hampshire alignment.

Grade 1 is below the Grades 3–8 NH SAS general mathematics range described in the reviewed 2025–2026 public administration manual. Follow the school’s early learning and classroom assessment directions. The reviewed manual is the 2025–2026 edition; confirm later-year directions with the school. Independently published practice may use its own timer, tools, question count, and scoring; these are not official administration specifications or a prediction of a state performance level. Read the public NH SAS manual resource page.

Read New Hampshire local curriculum rules for later guidance. 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.

New Hampshire Grade 1 math: useful study questions