The 6’s, 7’s, and 8’s are typically some of the most difficult multiplication facts to learn. However, there is good news! If you are teaching your students using a strategic order of facts, they will only have a few facts left to learn for the 6’s, 7’s, and 8’s.

For these facts we can teach students how to use a known fact.

For example, for the equation 6×6, we could use a fact that we know like 5×6, and then just add one more group of 6.

For 7×7, we could use a fact that we know, such as 5×7. We know this is 35. Now we could add 2 more groups of 7 to make 49.

For 8×8, we could use a fact that we know, such as 9×8. We know that this is 72. Now we could SUBTRACT one group of 8 to make 64.

When I work with these facts with my students, I am ALWAYS asking this question: “What do you know,” because my goal is for students to begin asking themselves, “What do I know?” when they see a tricky equation.

Using known facts is a really important skill to learn. Although it may take a bit longer, it’s so important for students to learn that they can work with and manipulate numbers in order to solve an equation.

Ultimately, I prefer that my students memorize those really tough facts like 6×6, 6×7, 7×7, and 7×8. I work with these facts over and over and over again with a goal of students committing them to memory. However, those strategies are really important to fall back on.

**NEXT STEPS**

Reinforce the 6’s, 7’s, and 8’s multiplication facts with multiplication task cards. Students will learn conceptually through problem-solving, using arrays, strategic thinking, finding missing numbers, skip-counting, picture representations, and more. Find the 6’s task cards HERE, the 7’s HERE, and the 8’s HERE.

**OR FIND THE FULL BUNDLE OF MULTIPLICATION TASK CARDS HERE.**

**OTHER HELPFUL RESOURCES**

Multiplication Strategy Posters

Multiplication Equation of the Day: Multiplication Fact Booklets

The Multiplication Station: a Self-Paced Program for Mastering the Basic Multiplication Facts

## 3 Comments

Very impressive. You need to be teaching teachers in college this strategy. When they enter the classroom this basic principle taught would not make mathematics such a difficult subject.