Even if they are putting in the effort, your child might be dealing with math gaps—missing foundational skills that are essential for understanding more advanced topics.
These gaps can lead to frustration, lower confidence, and confusion in class. The good news is that with the right approach, you can learn how to fill in math gaps so your child can succeed. When students start to feel solid in math, that confidence often spills into other subjects too.
Math gaps are missing skills or knowledge from earlier grades that make it harder to understand what is being taught now.
Because math is cumulative, a gap from Grade 7 or 8 can follow a student all the way into high school. If it is never addressed, each new topic becomes harder to grasp.
Look for signs like:
Mistakes with basic procedures
Struggling with operations like multiplying, dividing, or simplifying fractions even though these should be routine by now. One small error early in the steps can throw off the whole answer.
Difficulty solving problems
If foundational skills are missing, word problems and multi-step questions can feel overwhelming. Students may try to copy what the teacher does without really understanding why it works.
Trouble following the teacher’s explanations
When a lesson assumes prior knowledge your child does not have, it can feel like the teacher is skipping steps.
If you want a clear starting point, I have created free quizzes for each grade from 8 to 12. Each quiz focuses on the foundational skills that students are expected to know for that specific grade.
For example:
The Grade 8 quiz includes fractions, decimals, and integers.
The Precalculus 11 quiz adds more advanced topics like factoring and algebraic manipulation.
Step-by-step to use the quizzes:
Choose the quiz for your child’s grade.
Have them complete it without a calculator (unless noted).
Review which topics they got wrong or left blank.
Start working on one topic at a time until they can answer with confidence.
You can also try asking them to “teach” you how they solved a problem. If they skip steps or can’t explain why something works, that’s another sign of a gap.
Gaps compound each year, making new material harder.
Confidence drops, and students may stop trying.
They may avoid higher-level courses, limiting post-secondary options in science, business, trades, or engineering.
The earlier you address gaps, the easier they are to fix.
If you want to get started right away, here’s an action plan you can follow:
Test – Use the free quiz for your child’s grade.
Identify – Pick the top 1–2 skills that caused the most trouble.
Practice – Use targeted resources for just those skills.
Apply – Give mixed problems that combine old and new topics.
Review – Revisit the skill in 1–2 weeks to check retention.
Here are my go-to tools and why I recommend them:
Polypad – Excellent for visualizing math concepts like fractions, geometry, and algebra tiles.
Marcy Mathworks – My favourite workbook series for pre-algebra and algebra, with a gentle progression from easy to challenging problems.
School-provided textbooks/workbooks – Keeps practice aligned with local curriculum expectations.
Remind your child that math builds on itself and every old skill matters for new ones.
Encourage short, consistent practice sessions rather than long cram sessions.
Ask them to explain their reasoning aloud.
Celebrate progress, no matter how small, so they can see their improvement.
You don’t have to wait until your child is failing to take action. Learning how to fill in math gaps now can prevent bigger struggles later and set them up for long-term success.
If you’d like to speed up the process with professional support, I offer targeted tutoring that identifies and fills gaps while building confidence.
Click here to access the free quizzes for Grades 8–12 and start your child’s gap-filling journey today.
