Math problem set Grade 1 Science
Quail Ridge's Rainy Week: A Grade 1 Measuring Problem Set
A grade 1 math problem set where students add and compare a week of rain-gauge readings measured in same-size cubes, a non-standard unit.
Objectives
- Students will compare two daily rain heights measured in same-size cubes.
- Students will add daily rain-cube counts to build a weekly running total.
- Students will find the difference between the week's total and a stated line on the rain jar.
Vocabulary
Key words: rain gauge, cube, total, compare
Teacher overview
A first-grade class at Quail Ridge Elementary (a fictional school used for this problem set) keeps a clear jar outside as a simple rain gauge. After each rainy day, the class stacks same-size interlocking cubes next to the jar, laying them end to end, to see how many cubes tall the water rose. This problem set follows one rainy week of cube readings. The cube counts are made up for counting practice, since a real rainy week usually raises the water in a jar only a cube or two. A common misconception in this math is thinking that adding a day with 0 cubes changes the total, when adding 0 leaves the total the same.
Problems
- Monday's rain was 3 cubes tall. Tuesday's rain was 5 cubes tall. How many more cubes tall was Tuesday's rain?
- Add Monday's 3 cubes and Tuesday's 5 cubes. What is the total so far?
- Wednesday had no rain. That is 0 cubes. Add 0 to the total from problem 2. What is the new total?
- Thursday's rain was 4 cubes tall. Add it to the total from problem 3. What is the new total?
- Friday's rain was 6 cubes tall. Add it to the total from problem 4. What is the total for the week?
- Which day had the tallest rain? How many cubes tall was it?
- How many more cubes tall was Friday's rain than Thursday's rain?
- The jar has a line at 15 cubes for "a lot of rain." Was the week's total above or below that line? By how many cubes?
From Water for Schools (waterforschools.org). This material is in the public domain (CC0) and may be copied, edited, and shared freely.
Answer Key
- Answer: 2 more cubes. 5 − 3 = 2.
- Answer: 8 cubes. 3 + 5 = 8.
- Answer: 8 cubes. 8 + 0 = 8, since Wednesday added no rain to the total.
- Answer: 12 cubes. 8 + 4 = 12.
- Answer: 18 cubes. 12 + 6 = 18, the total for the whole week.
- Answer: Friday, 6 cubes. Friday's reading of 6 cubes was taller than every other day that week.
- Answer: 2 more cubes. 6 − 4 = 2.
- Answer: Above the line by 3 cubes. 18 − 15 = 3.
Differentiation
Support
Provide a printed strip of five boxes, one per day, with Monday's 3 and Tuesday's 5 already written in, so students can see the running total build box by box, and allow physical cubes for stacking and counting.
Extension
Ask students to invent a Saturday reading that would bring the week's total to exactly 25 cubes, and show the addition that proves their answer works.
ELL supports
Pre-teach "rain gauge," "cube," "total," and "compare" using an actual jar and a handful of cubes, stacking them together while naming each word. Allow students to show the running total with drawings of stacked cubes instead of written number sentences.
Extensions
Set up a real classroom rain gauge using a clear jar and same-size cubes, and keep a new weekly chart after an actual week of local weather. Compare the real cube counts to the numbers used in this problem set, and ask students whether a real week is likely to have more rainy days, fewer rainy days, or about the same number as Quail Ridge's practice week.