The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.

The absolute value of a number is its distance from zero. E.g. 5 and (−5) are both 5 away from zero and so both have an absolute value of 5

Checking and securing understanding of calculations involving negative numbers

Maths

Checking and securing understanding of converting between fractions and decimals

Checking and securing understanding of calculating with fractions and decimals

Checking and securing understanding of prime factorisation

Checking and securing understanding of LCM and HCF

Checking and securing understanding of roots and integer indices

The laws of indices - multiplication

The laws of indices - division

The laws of indices - raising a power to a power

The laws of indices - negative and zero exponents

Problem solving with the laws of indices

In this unit, pupils formalised their understanding of the index laws. This understanding will allow them to perform calculations with values written in standard form more efficiently.

The conditions for standard form mean that pupils have explored how different powers of 10 can be written in the prior unit. In this unit, this understanding is generalised and the index laws formalised.

In this unit pupils learn how to manipulate indices and perform calculations without conversion by understanding index laws.

Arithmetic procedures: index laws

Which is the best estimate for $$\sqrt{38}$$ (to 1 decimal place)?

Which is the best estimate for $$\sqrt{40}$$ (to 1 decimal place)?

Which is the best estimate for $$\sqrt{50}$$ (to 1 decimal place)?

Checking and securing understanding of calculations involving negative numbers

Lesson outcome