Math problem set Grade 1 Math
Room 14's Tap Tally: A Grade 1 Addition and Subtraction Set
Eight grade 1 addition and subtraction problems within 20, built from one classroom's three-category tally chart of hand-washing water-saving checks.
Objectives
- Students will add and subtract within 20 to answer questions about a class water-saving tally chart.
- Students will interpret a three-category tally chart and state how many more or fewer are in one category than another.
Vocabulary
- Water conservation
- Using less water and using it wisely so there is enough for people and nature now and in the future. Small actions matter, since a faucet dripping once per second wastes roughly 3,000 gallons per year.
Teacher overview
Suppose Room 14, a fictional grade 1 classroom, spent one week keeping a hand-washing tally chart. Every time a student washed their hands, a classmate marked whether the student Remembered to turn off the tap right away, Forgot and left it running for a moment, or Helped a Friend Remember to turn it off. By Friday, the tally chart showed Remembered: 12 checks, Forgot: 5 checks, and Helped a Friend Remember: 3 checks. This problem set uses that one chart for every problem, so students build fluency with addition and subtraction within 20 while reading real data instead of isolated number sentences.
A common misconception in this kind of problem is treating every "how many more" question as an addition problem. Students who see the word "more" sometimes add the two numbers together instead of subtracting to find the difference; watch for this error especially in problems 2 and 5.
Problems
Room 14 kept a tap tally chart for one week. Here are the totals. Remembered: 12 checks. Forgot: 5 checks. Helped a Friend Remember: 3 checks.
- How many checks are there in all? Add all three groups.
- How many more checks were Remembered than Forgot?
- How many checks were Remembered and Helped a Friend Remember in all?
- Of the 12 Remembered checks, 5 happened before lunch. How many happened after lunch?
- The class had a goal of 15 Remembered checks by Friday. Did the class reach the goal? If not, how many more checks did it need?
- Suppose 2 more students remembered to turn off the tap on Friday. This was after the chart above was made. What is the new Remembered total?
- Use your new total from problem 6. Room 14 wants 20 Remembered checks for the month. How many more does it need?
- Tally marks are drawn in groups of five. The fifth mark crosses the first four. The 12 Remembered checks are drawn as tally marks. How many full groups of five are there? How many extra marks are left over?
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: 20 checks. 12 + 5 + 3 = 20.
- Answer: 7 checks. Remembered (12) is 7 more than Forgot (5): 12 − 5 = 7.
- Answer: 15 checks. 12 + 3 = 15.
- Answer: 7 checks. 12 − 5 = 7.
- Answer: 3 checks. No, the class did not reach its goal of 15 Remembered checks; it had 12, and 15 − 12 = 3 checks short.
- Answer: 14 checks. 12 + 2 = 14.
- Answer: 6 checks. Room 14 needs 6 more Remembered checks to reach 20: 20 − 14 = 6.
- Answer: 2 groups of five. 12 = 10 + 2, and 10 is two groups of five (5 + 5), leaving 2 extra marks.
Differentiation
Support (below grade level)
Provide counters or linking cubes so students can build each number (12, 5, 3) with objects before adding or subtracting, and let them draw the tally chart's marks on scratch paper to count instead of working from numerals alone.
Extension (above grade level)
Ask students to set their own goal for the "Helped a Friend Remember" category (currently 3) and write one addition problem and one subtraction problem, with answers, about reaching that goal.
ELL supports
Pair each category name (Remembered, Forgot, Helped a Friend Remember) with a simple picture (a hand turning off a tap, a running tap, two children by a sink) on a reference card students can keep on their desks while solving the problems.
Extensions
Have the class keep its own real tap tally chart for one week, using the same three categories, and write a new set of addition and subtraction problems using their own numbers once the week is finished.