Introduction
Grade: Fourth
Subject: Math
Concept: Improper Fractions and Mixed Numbers
Standards:
MA.4.FR.2.2: Add and subtract fractions with like denominators, including mixed numbers and fractions greater than one, with procedural reliability
Task
Rose is cooking and puts 3 3/4 cups of water in a pot. Rose also puts 1 2/4 cups of milk in the pot. How many total cups of milk and water are in the pot?
Process
1. Draw a model of the amount of water Rose put in the pot, using the color blue to shade, representing the water (rectangles, circles, squares, number lines, etc.)
2. Adding to the model, add the fraction from the number of cups of milk Rose put in the pot, use the color yellow for shading to represent the milk.
3. Once you have added the fraction, add the number of whole cups of milk Rose put in the pot, use the color yellow for shading to represent the milk.
4. Once you have a complete model, how many total cups of water and milk did Rose put in the pot? Show this as a mixed number.
5. Convert your answer to an improper fraction. Show your work.
Evaluation
| Skill | 3 | 2 | 1 | 0 | ||
|---|---|---|---|---|---|---|
| Modeling Fractions and Mixed Numbers | Student accurately modeled 3 3/4 and 1 2/4 using an appropriate model, the correct colors, and shows how adding the 2/4 completes a whole and leaves 1/4. | Student modeled 3 3/4 and 1 2/4, using the correct colors but kept the fractions separate, not showing how they create another whole. | Student modeled 3 3/4 or 1 2/4 incorrectly, and did not use the correct colors. | Student did not model the mixed numbers. | ||
| Adding Mixed Numbers | Student added the mixed numbers, got the correct answer and expressed it as a mixed number. | Student added the mixed numbers and got the correct answer, but did not express their answer as a mixed number, or included an improper fraction. | Student added the mixed numbers, but did not reach the correct answer. | Student did not add the mixed numbers to find the sum. | ||
| Converting Mixed Numbers to Improper Fractions |
|
Student converted the mixed number correctly, but did not show their work. | Student converted, but reached an incorrect answer. | Student did not convert the mixed number to an improper fraction. |
Conclusion
Students will write a conclusion that tells how many cups the pot must be capable of holding if Rose's measurements are accurate, and express the amount of times she will fill her measuring cup (1 cup measuring cup).