Math Applications & Interpretation

Numbers & Algebra

# Number Skills

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Number Skills

Number Skills Revision Points

Arithmetic Skills

- Understand and utilise the
**order of operations**(brackets, orders, division and multiplication, addition and subtraction). - Be able to add, subtract, multiply and divide both
**whole numbers**and**decimal numbers**. - Accurately
**round numbers**to a required number of decimal places or significant figures. - Convert between
**fractions, decimals**and**percentages**. - Understand and identify
**prime numbers**, and perform prime factorisation.

Number Types

- Appreciate the differences between
**integers, rational numbers, irrational numbers, real numbers, and complex numbers**. - Recognise the characteristics of
**odd numbers, even numbers, square numbers**, and**prime numbers**. - Comprehend
**positive and negative numbers**, including addition and subtraction.

Ratio and Proportion

- Understand the concept of a
**ratio**and how it differs from a fraction. - Convert between
**ratios and fractions**, and simplify ratios. - Interpret and compute proportions using the 'cross-multiplication' method.
- Understand and apply
**direct and inverse proportions**in various contexts.

Percentages

- Understand how to calculate a
**percentage**of a whole. - Use percentages to describe
**increase, decrease**and**change**. - Calculate the
**original amount**after a percentage increase or decrease.

Number Properties

- Understand and utilise the properties of numbers including
**commutative, associative, distributive, identity**and**inverse properties**. - Understand the difference between an
**equation**and an**inequality**. - Solve both
**linear equations**and**quadratic equations**using a variety of methods. - Appreciate the value of
**absolute values**and know how to compute them.

Sequences and Series

- Understand the difference between
**arithmetic and geometric sequences**. - Determine terms of arithmetic and geometric sequences using the
**nth term**. - Recognise and apply the
**sum formulas**for arithmetic and geometric series.