How to Help With Word Problems From Grade 1 to Grade 8

Find where this attempt got stuck

Leo’s addition is correct, but it does not match the story. Five pencils left his collection, so joining the numbers answers a different question.

A word problem contains several jobs. The reader has to understand the event, name what is being found, choose a calculation and write it as a number sentence, such as 12 - 5 = 7, then carry it out. The final number also needs a label, such as pencils, minutes or dollars.

Use the questions below in order, and stop at the first answer the child cannot yet give. This keeps the help tied to the exact point where that attempt stalled.

Choose the next step from what you notice

1. 1. Can the child tell what happened and what each amount means?

   • Yes: go to question 2
   • No: Read one sentence at a time. Draw simple marks or a small table, or act out a physical change. Leave the calculation aside until the situation makes sense.

2. 2. Can the child say exactly what needs to be found?

   • Yes: go to question 3
   • No: Read the question by itself. Ask the child to finish this sentence: “I need to find the number of...” Then return to the full story.

3. 3. Can the child write the calculation, or one calculation for each step, so it matches the event?

   • Yes: go to question 4
   • No: Show one part at a time with objects, boxes, a table or a quick sketch. Ask how the amounts are connected: joined, left, grouped, shared or changed in relation to another amount. Write each calculation only after that connection is clear.

4. 4. Are all the calculations correct?

   • Yes: Write the answer with its label. Check that it answers the question and fits what happened in the story.
   • No: go to question 5

5. 5. After checking that each number was copied correctly and trying once more, are all the calculations correct?

   • Yes: Treat it as a one-off slip. Correct it, add the answer label and return to the story.
   • No: Keep the plan on the page and practise that calculation separately. Then return to the story and use the same plan.

Return to Leo’s pencil problem

Change the support as the stories change

For Grades 1 and 2, start with a short story and one action. Counters or drawn marks make joining and taking away visible. Ask for a spoken retelling before any numbers are written.

For Grades 3 to 5, boxes can show equal groups or equal shares. In a longer problem, give each step its own line. Label the result of the first line before using it in the next calculation.

For Grades 6 to 8, name each quantity and its unit before calculating. A rate compares quantities measured in different units, such as pages and minutes. The amount for one unit, such as pages in one minute, is called a unit rate. A ratio compares two or more quantities, so write what each number refers to.

Older pupils may prefer a table or a short written plan instead of counters. The aim is still the same: make the relationship between the quantities visible before working with them.

Use the same approach with a rate problem (Grades 6–8)

Avoid shortcuts that hide the meaning

Keyword rules can point to the wrong operation. The word “more” might describe an amount that is bigger, but the question could ask for the difference between two amounts. Ask what happened instead of choosing from one word.

Avoid correcting the operation as soon as a wrong sign appears. First ask the child to explain the event. Otherwise, the next choice may be a guess based on the adult’s reaction rather than the story.

Keep introductory practice on one kind of problem. Mixing addition, subtraction, groups and sharing is useful as review, but it makes it harder to see which part needs attention when a skill is still being learned.

Know when to talk to the teacher

Talk to the teacher if the same point remains difficult during three short attempts on different days, even after reading aloud and using objects or a sketch. Do not wait for the third attempt if the child becomes too upset to continue. Stop the task and contact the teacher sooner.

Bring one example that shows the child’s words, number sentence and calculation. That gives the teacher more useful information than a page of erased answers. Ask whether the difficulty also appears in class and what kind of drawing or written plan is being used there.

If reading the story aloud does not help the child explain it, mention that too. The school can help decide whether the next work should focus on the wording, the operation or the calculation.

Near the end of the homework problem, Leo moves 5 counters away from 12. He now writes 12 - 5 = 7 and says, “Seven pencils are left.” The useful change is not just the corrected answer; it is that his calculation now follows his explanation.

Check the story before the addition

1. 1Nora has 6 red beads and gets 3 more. What happens to the two amounts?

   They join.

   1. Nora has 6 red beads and gets 3 more. What happens to the two amounts?

   Answer: They join.

2. 2What needs to be found?

   The total number of beads Nora has.

   2. What needs to be found?

   Answer: The total number of beads Nora has.

3. 3What number sentence and labelled answer match the story?

   6 + 3 = 9, so Nora has 9 beads.

   3. What number sentence and labelled answer match the story?

   Answer: 6 + 3 = 9, so Nora has 9 beads.