Pupil outcome: I can multiply and divide with surds. 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.

Pupil outcome: I can use my knowledge of surds to solve problems. Key learning points: - Surds are a useful format to leave an answer as. - Surds can help with the accuracy of future calculations. - Surds can be seen in many areas of maths.

Pupil outcome: I can identify the highest square factor of any term including those written with algebra. Key learning points: - Numbers can be classified as surds or not surds. - Square factors of numerical and algebraic terms can be...

Pupil outcome: I can appreciate the structure that underpins multiplication of surds. Key learning points: - The square root operation is equivalent to the exponent 0.5 where the base is the term under the square root. - You can deduce...

Pupil outcome: I can use the technique of rationalising the denominator to transform a fraction to an equivalent fraction. Key learning points: - Fractions should be given in their simplest term. - The denominator should be written as...

Pupil outcome: I can appreciate the structure that underpins addition of surds. Key learning points: - An unknown value is represented by a letter. - An unevaluated surd can be thought of as an unknown value. - Each simplified surd has a...

Pupil outcome: I can appreciate the accuracy in leaving an answer without carrying out the final operation. Key learning points: - There is always a choice regarding how you represent a value. - You need to consider the most suitable way...

Pupil outcome: I can use the technique of rationalising the denominator to transform a fraction to an equivalent fraction. Key learning points: - Fractions should be given in their simplest term. - The denominator should be written as...

Pupil outcome: I can solve an equation where some of the coefficients or terms are surds. Key learning points: - A surd is a value, not a variable. - Your knowledge of surds can be used alongside your knowledge of algebraic manipulation.

Pupil outcome: I can identify, from their equations or graphs, whether two lines are perpendicular. Key learning points: - If two equations are written in the form y = mx + c then you can identify if they are perpendicular. - If the...

Multiplying Surds: Simplification: This video explains what simplifying a surd means and how to simplify surds by multiplication. The three multiplication rules are explained with examples. Practice question and answer using the concept...

This video provides a variety of practice questions and answers on the topic of identifying surds.

This video explains what a surd is and how to find out if a root is a surd or not a surd. It provides an introduction to understanding surds, which is crucial before studying how to manipulate surds. Practice questions and answers are at...

A surd is a square root which cannot be reduced to a whole number.



Surds are irrational; they are decimals that never end and never repeat, so cannot be written as f

ractions.

Leaving a number in it's surd form...

A surd is a square root which cannot be reduced to a whole number.
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Surds are irrational; they are decimals that never end and never repeat, so cannot be written as f
r
actions.

Leaving a number in it's surd...