5 Strategies for Teaching Addition and Subtraction Fact Families

In first grade, students use addition and subtraction fact families to understand the relationship between addition and subtraction but also to become more fluent in addition and subtraction facts. Taking a CRA (Concrete-Representative-Abstract) approach can help students to understand and generate related facts and addition and subtraction fact families. This post will outline 5 strategies that you can use to have your students practice addition and subtraction fact families.

5 Strategies for Teaching Addition and Subtraction Fact Families 

Strategy #1

Allow students to use a material such as linking cubes that they can physically put together and take apart to generate the 4 related facts.

In this example I added pictures of turtles and turtle shells to the blocks so that there is a context around the number as well.

While students are using the hands on materials, I am also asking them to put their numbers into a number bond. This will help to take away the hands on scaffold further down the line!

Strategy #2

A material such as red and yellow disks is another concrete tool that can be useful for your students. The difference between the linking cubes with pictures and red and yellow disks is that the disks lack a story context making them a bit trickier to work with for students. 

Even if you opt to use linking cubes without the attached pictures, it is useful to use another concrete tool in another lesson so that students can begin to generalize what they are noticing about putting parts together and taking them apart to generate related equations.

Strategy #3

Taking a step away from concrete materials, dice are a great representative tool. By using dice students can still see both parts that they are manipulating. They can still push them together and pull them apart to simulate the action associated with addition and subtraction number sentences, however, they are no longer manipulating each individual unit. 

In this case I did not pair the activity with a number bond in an effort to begin to decrease a student's reliance on that tool at all times to generate related equations but you certainly could! 

Strategy #4 

In strategy number 4 I am taking away all visual cues aside from a number bond. At this point students are working with numbers in a number bond but they don't have any tool to manipulate the parts that are being put together and taken apart. 

Strategy #5 

Strategy number 5 is not so much of a strategy. At this point, if students have worked away from needing a hands on tool or visualization, they should be able to independently generate related addition and subtraction word problems. 

In this example I have students play a game where each student comes up with a number 1-10 and writes that number in their candy bag. Students then show one another their numbers and write addition sentences combining their bags of candy and subtraction sentences breaking their bags back apart. 

I love this partner game because students can work independently to generate their fact families and then  use math vocabulary to defend their responses and check their work. 

Related Resources: 
Each of these activities are included in this 5 Day Focus small group math resource. If you work with tier 2 or tier 3 students, this is a must have to add to your collection! I have included a pre and post assessment, detailed lessons, independent practice activities and daily progress monitoring. 

Research Based Strategies 

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3 Valentine's Day Math Crafts

Holidays in the classroom have a different energy than a typical school day. Meet your students and their energy with a fun and novel activity that keeps them learning. Try one of these 3 Valentine's Day math crafts this upcoming holiday season!

Valentine's Day Love Bug Math Craft

To do this activity with your students, you will need to provide your students with bug bodies. Accordion fold strips of paper for arms and legs and your students are ready to create this cute craft! Allow your students to choose a 3-digit number and ask them to show different representations of their number on the bug's body, arms and legs. If you want to add space for even more representations, you can also add hands and feet to your Love Bug. Representations can include: 
  • Unit Form
  • Word Form
  • Standard Form
  • Expanded Form
  • Place Value Drawing
  • Show the Number in Money
  • Even or Odd
  • Equation
  • Etc! 

 Fact Family Valentine's Day Math Craft

This activity is perfect for a kindergarten or first grade class. Give your students 2 heart templates. On one template, ask your students to create a number bond. On the second template, ask your students to write 4 (or 8!) related number sentences. I HIGHLY recommend allowing your students to use linking cubes in two colors to help to generate the related number sentences. For example, a 4,5,9 number bond can be explored with 4 red cubes and 5 blue cubes. As students put the cubes together and take the cubes apart they can list the related facts. 

Fraction Chocolate Box Valentine's Day Activity 

Third or Fourth grade students would benefit from this Valentine's Day activity. Give your students a chocolate box template with a set number of chocolates. Ask your students to "fill" the chocolate box with a small selection of chocolates they design themselves. I like having 8 chocolates and asking the students to fill the box with 3 types of chocolates they design themselves. Eight is a nice number because it plays will with equivalent fractions (1/2 and 1/4) so there is room for students to explore. Next, ask your students to describe their chocolate box in terms of fractions, compare the fraction of different types of chocolates and look for equivalent fractions. 

If you are looking for a QUICK way to introduce any of these activities to your students, I have created templates and planning pages. A quick "print and go" will have your students engaged and ready to go! 

Related Resources:


Research Based Strategies 

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