Fact families are one of the clearest ways to show students that addition and subtraction are connected. Once a student sees that 3, 7, and 10 belong together, they are no longer learning four separate facts. They are learning one relationship and reading it four ways, which builds the mental math that makes later addition and subtraction so much easier.
October is a great time to practice it, because a friendly bat or a mummy on top of a math card makes students want to get started. This post walks through what a fact family is, a hands-on way to teach it with counters, and how to use Halloween fact family task cards in your math centers. Plus, download the free Halloween Fact Families task cards and worksheets at the end of this post.
What Is a Fact Family?
A fact family is a group of three numbers that are connected by addition and subtraction. Two of the numbers are the parts, and the third is the whole. Together they make two addition facts and two subtraction facts.
Here’s one from the Halloween task cards, using the numbers 3, 7, and 10:
- 3 + 7 = 10
- 7 + 3 = 10
- 10 – 7 = 3
- 10 – 3 = 7
The key is that the whole never changes. The two addition facts show that you can add the parts in either order (the commutative property), and the two subtraction facts show that taking one part away from the whole leaves the other part.
A fact family with a double is a good discussion starter. One of the Halloween cards uses 6, 6, and 12. Students will find there are only two facts this time (6 + 6 = 12 and 12 – 6 = 6), and talking about why is a great way to check they understand the idea rather than just following a pattern.
How to Teach Fact Families With Counters
Students understand fact families best when they can see and move the numbers. Two-color counters or linking cubes in two colors work well, because each color can stand for one part.
- Build the whole. For 3, 7, and 10, students count out 3 counters in one color and 7 in the other, then push them together to make 10.
- Write the addition facts. Students say and write 3 + 7 = 10. Then they swap the groups around and write 7 + 3 = 10. Same counters, same total.
- Take a part away. Students slide the 7 counters away from the group of 10 and see 3 left: 10 – 7 = 3.
- Take the other part away. Put all 10 back, then slide the 3 away: 10 – 3 = 7.
You’ll find that once students have done this a few times, they start predicting the subtraction facts before they move the counters. That’s the moment the connection between addition and subtraction clicks.
Try this next time: model the first card with the whole group, then hand out counters and let partners build the next card together before anyone writes on their own.
Using the Halloween Fact Family Task Cards and Worksheets
Each Halloween task card shows three numbers on a tombstone, with a bat, ghost, mummy, vampire, witch, or friendly monster peeking over the top. Below the numbers are boxes for two addition facts and two subtraction facts.
Two levels make it easy to differentiate:
- Facts to 10 (6 task cards) for students who are still building confidence with smaller numbers
- Facts to 20 (6 task cards) for students who are ready for a challenge
Most kindergarten students will start with the facts to 10 cards, and first graders can move on to the facts to 20 cards as soon as they are ready.
Two ways to record answers:
- Laminate the task cards and students write directly on them with a dry erase marker. Wipe them clean and the center is ready for the next group.
- Use the matching worksheets. There’s one worksheet for each set of six cards, so students can work from the cards and record all six fact families on one sheet. The worksheets also give you a quick record of who is ready to move on.
Where these work well:
- Math centers and rotations
- Small groups, with counters for students who need to build each fact
- Morning tubs and soft start
- Early finishers
- Halloween and October theme days
Get Your Free Halloween Fact Families
To give your students hands-on fact family practice this October, download the free Halloween Fact Families task cards and worksheets. The set includes:
- 12 Halloween fact family task cards (6 with facts to 10, 6 with facts to 20)
- 2 matching fact family worksheets, one for each set of task cards
Print the cards, laminate them, and add a handful of counters, and your Halloween math center is ready. Enter your email below and the free download will be sent straight to your inbox.
Laminate the task cards and use them with whiteboard markers. Students can either write their answers directly on the task cards with the whiteboard markers or record their answers on the Halloween Fact Families worksheet.
More Halloween Fact Family Practice
For more fact family practice within 10, the Math Decoders™ Halloween Crack the Code Fact Families task cards have students use a picture code to find the three numbers, then write the fact family, with part-part-whole mats to help. For more fun Halloween math activities you might also be interested in the Halloween Math Activities for Kindergarten.
Save for Later
Save this post to your Halloween or math board on Pinterest so these fact family ideas are ready when October comes around again.
