New Jersey Grade 4 Math

A line plot places repeated measurements at the same position instead of combining their lengths. The six invented ribbon measurements in this activity use quarter-inch units. The selected 2023 New Jersey reference includes fractional measurement displays and addition or subtraction using those displays.

Try this original activity

Plot these ribbon lengths in inches: 1, 1¼, 1¼, 1½, 1¾, and 2. How many ribbons are at least 1½ inches long? How much longer is the longest ribbon than the shortest? What is the combined length of the two ribbons measuring 1¼ inches each?

Work through the reasoning

Put one mark above 1 inch, two above 1¼, and one each above 1½, 1¾, and 2. The plot has six marks, matching the six measurements; the repeated value gets two marks at one position. Three ribbons are at least 1½ inches long: the ones at 1½, 1¾, and 2. The longest–shortest difference is 2 − 1 = 1 inch. The two 1¼-inch ribbons have combined length 1¼ + 1¼ = 2½ inches. On the plot, they remain two separate observations at 1¼. The sum answers a new question about total length; it does not change either ribbon’s measured position. Equal quarter-inch spacing keeps the horizontal axis consistent. The marks count ribbons, while the axis values measure their length.

Check the common mistake

Moving the second 1¼ mark to 2½ would replace two measurements with their sum and distort the data. “At least” includes the ribbon exactly at 1½. The tallest stack identifies a frequently occurring length, not necessarily the longest ribbon. Keep the units: a count of three ribbons is different from a difference of one inch. These measurements are invented, and a real measuring activity should specify the ruler and its subdivisions.

Try a related case

Add a seventh ribbon measuring 1⅛ inches. It belongs halfway between the 1 and 1¼ positions; it does not increase the count at 1¼. Explain why the number of observations increases while the longest–shortest difference stays one inch. If drawing a new plot, use eighth-inch tick marks so the new value can be represented accurately.

Selected 2023 New Jersey references for this activity

The 2023 New Jersey Student Learning Standards for Mathematics define grade-specific expectations. These selected references point to the activity’s focus; read the complete official Grade 4 page, its examples and clarifications, and the mathematical practices alongside the school’s teaching sequence.

Sources checked October 6, 2026. These focus labels are independent paraphrases of selected expectations, not a complete state checklist or certified alignment of the lesson library.

Connect the explanation with practice

Use the lesson, worksheet, and quiz directory to choose a related skill. The existing resource links remain available; open each activity’s directions to understand its timer, tools, question count, and scoring.

The official 2026–2027 schedule lists NJSLA-A mathematics for Grades 3 through high school, including Grade 4. NJDOE describes the mathematics assessment as adaptive. Confirm the learner’s assigned pathway, tools, and school directions. 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 official adaptive assessment overview.

Read the 2026–2027 statewide assessment schedule and confirm school directions. 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.