Multiplication and Division Facts: A Practice Order and Fact Families

By Laura Lurns · Reviewed by Philip Weaver · Last reviewed 2026-10-22

What does the federal guide say about multiplication and division facts?

A US federal guide on extra math help came out in 2021 (Fuchs and colleagues). It covers children who struggle with math, from kindergarten to sixth grade. It is about help in small groups or one to one, at school. It is not a guide to dyscalculia. Its studies were of help given in school, not at home. Nothing in the guide tests Learning Success.

For timed multiplication practice, the guide starts with zeros and ones. Then come tens and fives. Earlier sets are mixed back in. The guide gives this order for short timed practice. The order is the panel's advice.

The guide recommends short timed practice, 1 to 5 minutes, on facts already taught. It says not to use timed work to teach a new idea. In the panel's opinion, timed worksheets alone do not build fluency. The goal is right answers, not how many are tried. Progress charts are kept private.

The guide rates the evidence for short timed practice as strong. Strong means its studies kept finding gains, across different groups of children. That grade is for the advice as a whole, not for each step in it.

Each study tested a whole package of help. So the guide cannot say what one step adds on its own.

For division facts, the guide uses fact families. That is one of the guide's examples, not a tested method on its own.

The guide shows skip counting on a number line or a hundreds chart. These are the panel's examples. Skip counting was not a tested topic in the guide. We read two federal math guides. Only one mentions a multiplication chart, once, as a support. Neither recommends it.

When to ask for help

Each of these is a reason to ask for help on its own.

• Little change, even with steady practice and good teaching.
• Math well below your child's other schoolwork.
• A teacher who raises a concern about math.
• Extreme upset about math.
• Complete avoidance of math.
• Worry about math that spreads into the rest of learning.
• Sadness or worry that lasts.
• A skill that was there and has gone. Our position is that a lost skill goes to a doctor first, not a tutor.

If no skill has gone, start with the teacher. Say what you are seeing at home, and what you have tried. Beyond the teacher, the right person depends on what it turns out to be about. If the work is too hard, someone who works on that school skill. If worry or mood is the thing, someone who works with children's mental health. In our view, if you are worried enough to ask, a professional evaluation is worth asking about.

Any talk of hurting themselves is a same-day call to your doctor or a crisis line.