Hawaii Grade 4 Math

Try the original problem

One batch of a classroom recipe uses 3/8 of a cup of dry ingredients. Four equal batches use the same amount each. How much is needed altogether? Keep one cup as the unit whole while drawing or counting the eighth-cup parts.

Follow the reasoning

Each batch contains three eighth-cup parts. Four batches contain 4 × 3 = 12 such parts. The total is therefore 12/8 of a cup, which is one whole cup and four eighths of another: 1 1/2 cups. The denominator remains eight because the size of each part remains one eighth of the same cup. Multiplication increases the number of those parts.

Check a common wrong turn

Multiplying both the numerator and denominator by four gives 12/32, which equals the original 3/8 rather than the amount for four batches. That changes the part size instead of combining four equal amounts. Check that the total exceeds one batch’s amount, and use equal-size cup models. A whole drawn at a different size would make the comparison misleading.

Transfer the idea

Find the amount for two batches: 6/8 or 3/4 of a cup. Then find the amount for five batches: 15/8 or 1 7/8 cups. Show where each complete cup ends in the drawing and explain the remaining eighths. Compare the results with repeated addition, keeping the same unit whole throughout. Use this model to explain the multiplication rather than rely only on a rule about numerators.

Selected references from Hawaiʻi’s revised mathematics document

The Hawaiʻi mathematics standards directory links the HCCS-M document approved in 2026. Its announced implementation schedule is elementary school in 2027–28, middle school in 2028–29, and high school in 2029–30. These references identify this activity’s focus in the revised document; they do not claim every school has already implemented it. Confirm the school’s current course and transition plan, including the placement of Grade 6.

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

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 Hawaiʻi’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 Hawaiʻi’s 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.