TheLearnDenYear 10 / GCSE · Maths
Special Numbers Powers Roots Standard Form
Year 10 / GCSE learners practise indices surds and standard form gcse.
The activities include Add Directed Numbers, Calculate Square Roots (Without a Calculator), Estimate Powers and Roots, and related practice. The checked support below includes video, teaching, worksheet, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.
Activities covered
- Add Directed Numbers
- Calculate Square Roots (Without a Calculator)
- Estimate Powers and Roots
- Evaluate and Use Negative Indices
- Evaluate Positive Indices
- Find Cubes and Cube Roots
- Find Factors
- Find HCF and LCM Using a Venn Diagram
- Find Multiples of Numbers
- Find Prime Factors
- Find the Highest Common Factor
- Find the Lowest Common Multiple (LCM)
- Identify Rational and Irrational Numbers
- Identify Square Numbers
- Multiply and Divide Directed Numbers
- Order Indices, Roots and Reciprocals
- Recognise Powers of 2, 3, 4 and 5
- Recognise Prime Numbers
- Simplify Surds Using Square Factors
- Subtract Directed Numbers
- Work with Exact Values Involving Pi
Checked learning resources
-
Negatives: addition and subtraction
Corbett Maths · Video · Opens on the provider website
GCSE video applying adjacent-sign rules and number-line reasoning when adding or subtracting positive and negative directed numbers.
-
Square root of a decimal
Khan Academy · Video · Opens on the provider website
Video finds an exact square root of a decimal by relating it to a familiar whole-number square, matching the non-calculator decimal-root method.
-
Approximating square roots
Khan Academy · Video · Opens on the provider website
Video estimates non-perfect square roots between consecutive integers by locating the nearest perfect squares, including judging which integer is closer.
-
Negative indices
Corbett Maths · Video · Opens on the provider website
GCSE video evaluating negative indices by finding the reciprocal of the corresponding positive power.
-
Numerical indices and powers
Corbett Maths · Video · Opens on the provider website
GCSE video evaluating numerical powers by multiplying the base by itself the number of times shown by the positive integer index.
-
Cube roots
Corbett Maths · Video · Opens on the provider website
GCSE video finding cube roots by identifying the number which multiplies by itself three times to give the target value.
-
Factors
Corbett Maths · Video · Opens on the provider website
GCSE video finding every factor of a number systematically in multiplication pairs without duplicating square factors.
-
HCF and LCM using products of primes
Corbett Maths · Video · Opens on the provider website
GCSE video placing prime factors into a Venn diagram, multiplying the intersection for HCF and all entries for LCM.