Use knowledge of the distributive law to solve further two-part problems
I can use knowledge of the distributive law to solve two part subtraction problems efficiently.
Use knowledge of the distributive law to solve further two-part problems
I can use knowledge of the distributive law to solve two part subtraction problems efficiently.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Partitioning a factor is called distribution or using the distributive law.
- Partitioned factors can be subtracted to simplify two-part subtraction problems.
- Eight 9s subtract three 9s is equal to five 9s.
Keywords
Common factor - When we compare lists of factors of two or more numbers, any factors that are the same are the common factors.
Distributive law - The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Common misconception
When looking at an expression such as 5 × 6 − 5 × 3 children might be tempted to subtract first leading to an expression like this: 5 × 1 × 3
Ensure that you support the equation with the arrays so that pupils understand where the multiplication expressions come from and they can match the partial products to the arrays.
To help you plan your year 4 maths lesson on: Use knowledge of the distributive law to solve further two-part problems, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 4 maths lesson on: Use knowledge of the distributive law to solve further two-part problems, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 2 maths lessons from the Apply the distributive law to multiplication unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
4 × 5
3 × 5
6 × 4