Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-2
New NZC (2026)
NZC26-P4-NUM-NSO-P-Y10-05NZC26-P4-ALG-ER-K-Y10-03NZC26-P4-NUM-NSO-K-Y10-05NZC26-P4-NUM-NSO-P-Y9-07NZC26-P4-NUM-NSO-K-Y10-06
Resources
- Dr Austin Maths - Introducing Surds Practice GridQuestions PDF · Answers
- Dr Austin Maths - More Simplifying Surds Practice GridQuestions PDF · Answers
- Dr Austin Maths - Multiplying, Dividing and Simplifying Surds Practice GridQuestions PDF · Answers
- Dr Austin Maths - Manipulating Surds Practice GridQuestions PDF · Answers
- Dr Austin Maths - Surds Revision Practice GridQuestions PDF · Answers
- CorbettMaths - Surds practice questionsQuestions PDF · Answers
Terminology
- Surd
- Radicand
- Simplify
- Rationalise
- Like surds
- Perfect square
Task goals
- Identify whether a number is a surd (an irrational root left in exact form).
- Simplify a surd by finding its largest perfect-square factor.
- Multiply and divide surds by combining them under one root, then simplify.
- Add and subtract like surds (matching radicand) by collecting them as like terms.
- Rationalise the denominator of a fraction containing a surd.
Where this fits
What leads into this objective, and where it goes next.
You are here
Surds -- simplifying, multiplying, dividing, and adding/subtracting
Do
Approximately locating roots on the number line with reference to the closest perfect square (e.g. √48 is between √36 = 6 and √49 = 7, but closer to 7)
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-07
Also under NA5-2:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.