Lesson plan for multiplying single-digit numbers with number bonds

Number bonds give students a visual way to break apart a multiplication fact into smaller, familiar parts. Instead of treating 7 × 6 as an isolated fact to memorise, learners can split 6 into 5 and 1, then solve 7 × 5 + 7 × 1. This approach builds flexible thinking and supports children who are still developing confidence with times tables.

The lesson suits primary classrooms, tutoring sessions and home learning. It can be adapted for Australian Curriculum mathematics work in Years 2–4, whether students are learning in a classroom in Sydney, a homeschool setting in regional Queensland, or a small group in Perth. Printable activities are especially useful when teachers need low-preparation resources during a busy school term.

Learning goals and mathematical language

By the end of the lesson, students should be able to represent a single-digit multiplication fact with a number bond, explain how a factor has been partitioned, and use the related facts to find an answer. For example, they may show that 8 × 7 can be solved as 8 × 5 + 8 × 2, giving 40 + 16 = 56.

Introduce the terms factor, product, partition, equal groups and number bond. Explain that the whole number remains connected to its parts. If 7 is split into 5 and 2, the multiplication expression becomes 8 × (5 + 2), which is equivalent to (8 × 5) + (8 × 2). Keep the language accessible, then gradually encourage students to describe the strategy independently.

Materials and warm-up activity

Prepare counters, linking cubes, mini-whiteboards, pencils and a set of multiplication cards. A simple three-part number bond template is helpful: the whole goes in one circle, while the two parts sit in the remaining circles. Grid paper can also help students organise repeated groups and record each step neatly.

Begin with a five-minute warm-up using familiar facts such as 2s, 5s and 10s. Ask students to build 6 groups of 5 with counters and then connect this to 6 × 5. In Australian classrooms, examples involving 5-cent coins or groups of five objects can make the structure familiar, while avoiding the need to use actual money. Move from concrete groups to drawings and finally to equations.

Guided lesson sequence

Model a fact such as 6 × 8. Draw a bond that partitions 8 into 5 and 3. Write:

6 × 8 = 6 × 5 + 6 × 3
= 30 + 18
= 48

Read the equation aloud and point out that the first factor, 6, has stayed constant. Repeat with a second example, such as 7 × 9, allowing students to suggest useful partitions. Some may choose 5 + 4, while others may prefer 10 − 1. Accept efficient methods, but focus this lesson on addition through number bonds.

During guided practice, give pairs a multiplication card and ask them to draw a bond, build the groups, and explain the calculation to a partner. Include facts from 3 × 6 through 9 × 9, while selecting easier examples for students who need additional support. A class working towards the Australian Curriculum achievement standards can record both the visual model and the matching number sentence.

Independent practice and differentiation

For independent work, provide problems such as 4 × 7, 8 × 6, 9 × 7 and 6 × 9. Require students to show the partition before writing the final product. An extension activity can ask learners to solve the same fact in two ways, such as 7 × 8 = 7 × 5 + 7 × 3 and 7 × 8 = 7 × 4 + 7 × 4. This encourages discussion about efficiency rather than a single prescribed method.

Students who need support can use prepared bonds, counters and a multiplication chart with selected facts highlighted. A teacher or parent might begin with partitions involving 5, since these are often easier to recall. Confident learners can create a word problem involving equal groups, such as trays of lamingtons or teams at a school sports carnival, then represent it with a bond and equation. For extra fluency work, use multiplication mystery pages after the main lesson so computation remains purposeful and engaging.

Assessment and follow-up

Use observation during the lesson to check whether students understand that a factor is being split, rather than the product. Listen for explanations such as, “I split 8 into 5 and 3, so I found 6 groups of 5 and 6 groups of 3.” Note whether a learner can connect the model, equation and answer without relying entirely on a times-table chart.

Finish with a short exit task: solve 7 × 6 using a number bond, label the two partial products, and explain the strategy in one sentence. Review responses to identify whether the next session should focus on partitioning, recall of basic facts, or adding partial products. During school holidays, parents can revisit two or three facts at a time rather than turning practice into a long worksheet session. Teachers in Melbourne, Adelaide or other Australian communities can also adapt the examples to local classroom interests and available materials.

Print the activity pages, gather a few counters and teach the strategy through modelling, discussion and repeated practice. With regular opportunities to split, represent and explain multiplication facts, students can develop a stronger foundation for times tables, mental computation and later multi-digit multiplication.