Learning & study skills · MyHLC guides
How to Review a Math Mistake Without Guessing
At a glance
Keep the original work
Before erasing an answer, keep the attempted solution and ask: “What were you trying to do here?” Compare the student’s explanation with the problem. Did they misunderstand what was asked, choose an unsuitable method, make a calculation slip or stop before checking the result? These are practical review categories, not a diagnosis.
Worked example: adding unlike fractions
Suppose a student writes 1/2 + 1/3 = 2/5. Adding the numerators and denominators separately does not preserve the size of the parts. Rewrite the fractions as sixths: 1/2 = 3/6 and 1/3 = 2/6. Now the parts have the same size, so 3/6 + 2/6 = 5/6. A drawing of two equal-length strips split into sixths can make the relationship visible.
Equal-sized parts make addition work
1/2 = 3/6
1/3 = 2/6
Total = 5/6
Check the answer before doing another problem
The answer to 1/2 + 1/3 must be greater than 1/2 because a positive amount is being added. But 2/5 is less than 1/2. That quick comparison flags the original result before any exact calculation. Ask the student to explain both why sixths work and why the first answer could not be right.
Try a fresh question
Use 1/4 + 1/2 as a new example. Ask the student to choose a common unit and explain the change. The result is 3/4. If the method is still unclear, return to a drawing instead of assigning a long page of similar calculations. If the reasoning is sound but arithmetic slips persist, choose a smaller calculation to review.
Write one useful note
Replace “be more careful” with a specific reminder such as “Check that the fractions use equal-sized parts before adding.” Bring that note and one example to the teacher or tutor. A single mistake does not establish the student’s overall ability, and this activity does not promise a particular grade.
For Shoreline and Washington families
When asking MyHLC about math support, share the course, topic and the step that needs explanation. Families using online tutoring can show the same written work during a session. Our physical center is in Shoreline; Everett and other service-area pages describe access options rather than additional offices.
Common questions
Should I erase the wrong answer?
Keep it long enough to compare the original steps with the correction. The attempted work helps show where the method changed.
What if my student gets the next question right?
Ask them to explain why the method works. One correct answer is useful evidence, but does not establish mastery of the whole topic.
Should we do a full worksheet next?
Start with one fresh question. Use the explanation to decide whether more practice or a different explanation is needed.
What should we bring to a tutor?
Bring the course name, original question, attempted solution and the exact step that needs clarification.
Sources & further reading
About this guide
Prepared for MyHLC Tutoring with AI assistance. Examples and diagrams are original learning illustrations. Follow the teacher’s instructions and any individual school support plan.
What to do next
Choose one step from this guide and try it with a recent assignment. If the difficulty continues, bring that example to the teacher or discuss tutoring with MyHLC in Shoreline or online across Washington.
math tutoring · online tutoring · Everett/98203 guide · weekly homework plan