Myths about teaching can hold you back
- Year 10•
- Higher
Applying the underlying structure of multiplication and division of surds
I can multiply and divide with surds.
- Year 10•
- Higher
Applying the underlying structure of multiplication and division of surds
I can multiply and divide with surds.
Lesson details
Key learning points
- The multiplication of surds can be generalised.
- √a × √b=√ab and √a × √(1/b) = √(a/b) = √a ÷ √b
- You may be able to simplify this product.
Keywords
Surd - A surd is an irrational number expressed as the root of a rational number.
Radical - The root sign is the radical symbol.
Radicand - The radicand is the value inside the radical symbol.
Common misconception
Pupils may insist that a square root can be both positive and negative.
By convention, square root refers to the principal (positive) square root.
To help you plan your year 10 maths lesson on: Applying the underlying structure of multiplication and division of surds, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Applying the underlying structure of multiplication and division of surds, 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.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Surds unit, dive into the full secondary maths curriculum, or learn more about lesson planning.