Delaware Grade 4 Math

Work through the example

Two equal-length paper strips represent the same-sized whole. One shows 3/4 shaded and the other shows 5/8 shaded. Which fraction represents more of that whole?

Connect the model and calculation

Split each fourth into two equal parts. Three fourths then becomes six eighths: 3/4 = 6/8. Now compare 6/8 with 5/8. The parts are the same size, and six parts are more than five, so 3/4 > 5/8. The difference is 1/8 of the whole. The bars show why the denominator change does not shrink the original shaded amount: it changes how the same length is partitioned.

Understand an incorrect answer

Comparing only 3 and 5 ignores the different-sized parts. Comparing only 4 and 8 also misses how many parts are shaded. If a drawing uses a much longer strip for one fraction, it cannot show this comparison fairly. The standard’s same-whole condition matters: 3/4 of a small sheet need not be more material than 5/8 of a larger sheet. Here the wholes are deliberately equal.

Transfer the idea to another example

Compare 2/3 and 3/6 with another pair of equal-length bars. Recognize 3/6 as 1/2 and check the comparison with a shared partition into sixths: 2/3 = 4/6, so 4/6 > 3/6. Then give a comparison with fractions on either side of one half and ask the student to explain that benchmark. A symbol should summarize the model and reasoning; it should not replace them. Keep the same whole explicit in each new example.

Selected Delaware Grade 4 references

The Delaware mathematics standards directory links the Common Core publisher. Delaware’s standards regulation, section 1.1.1.1, identifies adoption for the 2010–11 school year. Use the adopted document alongside the school’s instructional plan. These labels summarize the activity’s focus; read the complete expectations and mathematical practices in the publisher’s mathematics document.

Sources checked October 5, 2026. This selected activity is an entry point for instruction, not a complete curriculum checklist.

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.

Grade 4 is within Delaware’s Smarter Balanced mathematics testing range. The linked learning resources have their own directions and scoring; a practice score does not establish an official state performance level. Read Delaware’s official summative assessment overview.

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.