Multiplication Facts Strategies for 3rd Grade: The Order to Teach + Games

The most effective way to teach multiplication facts in 3rd grade is by strategy, not in table order: start with the foundational facts (×2, ×10, ×5, ×1 and ×0), then derive the rest from them (×9 from ×10, ×4 by doubling, ×3 and ×6 by adding a group, ×8 by doubling ×4) and finish with the handful of remaining facts and the squares. This order lets students use what they know to figure out what they don’t, which builds both understanding and memory. Under the Common Core (3.OA.C.7), students should know all products of two one-digit numbers from memory by the end of 3rd grade, so winter is the right time to focus. This guide gives you the order, a strategy for each set, daily routines, games and tips for students who struggle. For the bigger picture of K–5 math, visit our elementary math guide.

Why strategies before memorizing

Students who only memorize facts by rote often forget them, and when they do, they have no way to recover. Students who know strategies can rebuild a forgotten fact in seconds: “I don’t remember 7 × 8, but 7 × 4 is 28, so double it is 56.” Over time, repeated use of strategies turns facts into automatic recall, and the strategies stay as a backup.

Strategies also reduce the number of facts to learn. Thanks to the commutative property (3 × 8 = 8 × 3), the 100 facts from 0 × 0 to 9 × 9 become about 55 unique combinations. Once students know ×0, ×1, ×2, ×5 and ×10, only a few dozen facts remain, and most can be derived from the ones they know.

Before facts: the meaning of multiplication

Make sure students understand what multiplication means before you work on speed. They should be able to:

• Show 4 × 6 as 4 groups of 6 or as an array with 4 rows of 6.
• Write a multiplication sentence for a picture or story.
• Explain that 4 × 6 and 6 × 4 have the same product, using an array turned on its side.

Arrays are the most powerful model because they connect to the strategies below and, later, to area.

The order to teach, with a strategy for each

Foundational facts: ×2, ×10, ×5, ×1, ×0

These come first because they connect to what students already know. Doubles come from addition in 1st and 2nd grade. Counting by tens and fives is familiar from place value and money. The ×1 and ×0 facts are best taught through meaning: “3 groups of 1 is 3.” “5 groups of nothing is nothing.” Avoid teaching “rules” without understanding, which can lead to errors like 0 × 5 = 5.

Derived facts: ×9 and ×4

For ×9, students multiply by 10 and take away one group: 9 × 8 = 80 − 8 = 72. The well-known finger trick works too, but the “10 minus one group” strategy helps students understand why. Students also notice that the digits of 9 × n add to 9 (for n from 1 to 10), which is a good self-check.

For ×4, students double the ×2 fact: 4 × 6 is double 2 × 6, so double 12, which is 24.

Adding a group: ×3 and ×6

For ×3, use ×2 plus one more group: 3 × 8 = 16 + 8 = 24. For ×6, use ×5 plus one more group: 6 × 8 = 40 + 8 = 48. Another option for ×6 is doubling ×3. Show these with arrays split into two parts; this is the distributive property in action (3.OA.B.5), even if you don’t name it yet.

Doubling again: ×8

Students double ×4: 8 × 6 = double 24 = 48. Some students prefer double, double, double: 6, 12, 24, 48.

The last few: ×7 and squares

By now, almost every fact is covered. The ones left are usually 7 × 7, 7 × 8 (or 8 × 7) and the squares (6 × 6, 8 × 8). Teach square facts with square arrays, and use near facts: 7 × 8 is 7 × 7 plus 7, or 56. Some students like the pattern “5, 6, 7, 8”: 56 = 7 × 8.

A daily routine (10 minutes)

Spend one to two weeks on each set, mixing in previous facts as you go. Short daily practice works much better than long sessions once a week. Send the current set home too, with a note that explains the strategy in one line, so families practice the same way you teach it instead of drilling the whole table at once.

Low-prep games

Multiplication war. Each player flips two cards and multiplies; the higher product wins all four cards. Remove face cards or count them as 10.

Roll and multiply. Students roll two dice (or one die and a focus number) and multiply. They color the product on a grid; the first to get four in a row wins.

Array capture. On grid paper, students roll two dice, draw an array of that size and write the product inside. Play until the grid is full; the player with more squares covered wins. It connects facts with area.

Around the world. Two students stand; you show a fact; the first to answer correctly moves on to the next student. Use it carefully: it can be stressful for some students. A team version is often better.

Fact family triangles. Cards with the product at the top and two factors at the bottom corners. Cover one number and students find the missing one, practicing multiplication and division together.

For more ideas across addition, subtraction and multiplication, see our math fact fluency games.

Checking progress without stress

Instead of a public timed test, use short individual checks. Show students a set of facts and note which they answer within about three seconds, which they answer using a strategy, and which they don’t know. Give each student a personal chart to color the facts they’ve mastered. That focuses everyone on their own progress, and it shows you exactly which facts to practice next.

Students who need more

Students who struggle with facts often have gaps in skip counting or addition fluency. Strengthen those first. Teach fewer facts at a time, with more practice and visual models. Some students benefit from a multiplication chart or a strategy card during problem solving so they can focus on the reasoning; if a student has an IEP or 504 plan, use the accommodations the team decided and don’t remove them on your own. For students with a learning disability in math, our post on dyscalculia accommodations describes common supports.

Common mistakes to avoid

• Teaching in table order only. Going ×1, ×2, ×3… up to ×10 ignores the connections between facts.
• Racing to timed tests. Speed without strategies leads to anxiety and guessing.
• Skipping the meaning. Students who don’t understand multiplication can’t use strategies.
• Not mixing practice. If students only practice one set at a time, they don’t learn to choose a strategy.

Prep in less time

Practice pages that mix the current set with earlier facts, plus word problems that use the same facts, take time to build. An AI worksheet tool can draft them for the set you’re working on, with an answer key, and you check them before printing.

Multiplication facts are a foundation for division, fractions, area and almost everything in 4th and 5th grade. For the standards behind them, see our guide to 3rd grade Common Core math standards, and for more on teaching K–5 math, visit our elementary math guide.