Teaching addition with dominoes and linking cubes

Addition becomes easier to understand when children can see, touch and rearrange quantities. Dominoes and linking cubes turn a number sentence into a small investigation: children build two groups, join them and check how many objects they have altogether.

This approach suits early years and primary classrooms, as well as home learning. In Australia, it can support Foundation and Year 1 work in the Australian Curriculum, particularly when students develop counting, subitising, part-part-whole knowledge and fluency with numbers to 10 and 20.

The materials are compact enough for a kitchen table in Perth or a classroom in regional Queensland, yet flexible enough for a whole-group lesson in Melbourne or a targeted activity during a busy NSW school term. The focus stays on mathematical thinking rather than memorising isolated facts.

Begin with visible quantities

Start with a domino showing a familiar arrangement, such as four spots on one side and three on the other. Ask children to describe what they see before they count every spot. They may recognise four and three, explain that the domino has two parts, or count all seven. Each response gives useful information about their developing number sense.

Place a linking cube tower beside each half of the domino. A four-cube tower and a three-cube tower represent the two addends, while a joined seven-cube tower represents the total. Use everyday language such as “altogether”, “join”, “parts” and “how many more” before recording 4 + 3 = 7.

Keep the first activities within a comfortable range. Dominoes with totals to 10 are suitable for many Foundation learners, while larger totals can extend Year 1 students. Children can sketch the domino, draw cube towers or photograph their models before writing the matching equation.

Build, join and explain

Give each pair of learners a small collection of dominoes and linking cubes. One child selects a domino and builds the two quantities; the other joins the towers and states the total. They then swap roles. This creates repeated practice without making every turn feel like a worksheet exercise.

Encourage children to make several representations of the same addition. A domino with two and five can become two short towers, one longer seven-cube train, a drawing with dots and the equation 2 + 5 = 7. Ask, “How did the cubes help you know?” Explanations reveal whether a child is counting from one, counting on, or recognising a known combination.

For families and schools managing a practical budget, sale materials can help build a hands-on maths tub alongside existing counters and paper resources. Store the cubes, dominoes, number cards and recording sheets in one labelled container so the activity is ready during a maths rotation or after-school practice.

Learning focus	Domino activity	Linking-cube representation	Useful teacher language
Counting all	Count both sides, then combine	Two towers joined together	“How many are there altogether?”
Subitising	Recognise small dot patterns	Build each part without recounting	“What did you notice straight away?”
Counting on	Start with the larger side	Add cubes one at a time	“Begin at five and count on two”
Commutativity	Turn the domino around	Compare 3 + 5 and 5 + 3	“Did the total change when the parts changed places?”
Missing addend	Cover one side of the domino	Find cubes needed to complete the total	“How many are hidden?”

Develop efficient strategies

Once children are confident joining two groups, introduce the idea that the order of the addends does not alter the sum. Turn a domino around and compare 3 + 6 with 6 + 3. The physical model makes the property visible: the same two towers are being joined, even though their positions have changed.

Linking cubes also support bridging through five and ten. For 8 + 4, build an eight-cube tower and ask how many cubes are needed to reach ten. Split the four into two and two, then join the remaining two. This gives children a concrete pathway to 10 + 2 rather than expecting them to recall the answer without meaning.

Use questions that invite strategy rather than speed. “Could you make ten first?” “Which part would you count on?” and “Can you solve it another way?” are more informative than simply asking for the answer. Australian students may hear “maths” in class and “doing sums” at home, so connect both expressions to the same reasoning process.

Add movement, stories and support

A floor number line can turn cube towers into a small movement game. A child stands on four, rolls or selects a domino showing three, then moves three spaces to land on seven. This works well in a multipurpose room, covered outdoor area or shaded veranda when the weather allows active learning.

Create short story problems based on familiar Australian settings: three bilbies are pictured on a card and two more appear, or five mangoes are placed in a basket and one is added. The context should remain simple and respectful, with the mathematics easy to identify. Avoid making the story so elaborate that children lose track of the quantities.

For learners who need additional support, use larger cubes, high-contrast domino markings and a reduced choice of equations. A child might first match a domino to a pre-built cube train, then build the two parts independently. Students ready for extension can find all dominoes that make eight, write related subtraction facts or explain why a double, such as 4 + 4, is useful.

Record progress through play

Observation is often more revealing than a completed page. Note whether a child counts each dot, recognises patterns, counts on from the larger addend, keeps track when combining towers and explains the answer. These notes can inform small-group planning across Foundation, Year 1 or a mixed-age homeschool setting.

A simple recording sheet might show a domino, two blank boxes for the addends and a final box for the sum. Children can draw dots, write numerals or use stickers according to their stage of development. Gradually remove the visual prompts so the concrete materials support, rather than replace, mental calculation.

Keep a mixture of familiar and unfamiliar combinations in the collection. Repeated work with doubles, near doubles and combinations that bridge ten helps children form connections, while random dominoes show whether they can apply those ideas flexibly. A broad range of hands-on resources can sit alongside the domino set, including craft paper for recording, number manipulatives and materials for integrated classroom projects.

The strongest learning appears when children can move between the object, the picture, the spoken explanation and the equation. A few dominoes and a handful of linking cubes provide that bridge clearly, giving addition a shape children can build, inspect and explain.