Math Applications & Interpretation

Numbers & Algebra

# Number Skills

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Number Skills

Number Skills

Understanding the Number System

- Understand and use positive and negative integers
- Understand and use decimals and fractions
- Appreciate the difference between discrete numbers and continuous numbers
- Use order of operations, including
**brackets**, exponents,**multiplication and division**, addition and subtraction

Calculation Techniques

- Understand and use the four operations (+, -, x, ÷) in calculation
- Understand and use
**exponentiation**and root extraction - Understand and use percentage changes, including increase and decrease
- Calculate with money, using all operations and
**percentages** - Use estimation and rounding as a check on calculations

Expressing Quantities

- Understand and use ratios and proportions in context (e.g. sharing amounts, comparing quantities, similarity and congruence)
- Understand and use scale factors, maps and plans
- Use rates and pricing, including unit pricing and cumulative cost calculations
- Understand and use proportional change, including fractional growth and decay

Dealing with Error and Uncertainty

- Understand and use range as an indication of spread
- Understand and use significant figures and decimal places as limits to accuracy and precision
- Understand and use standard form to express very large or very small numbers in contexts such as scientific notation
- Use and interpret bounds of values given rounded data

Algebraic Skill

- Understand and use
**algebraic notation** - Use and interpret substitution into algebraic expressions
- Understand and apply the concepts of equality and inequality
- Understand and apply the laws of indices for numerical and algebraic expressions involving integer and fractional powers.

Remember, practice makes perfect. Work through examples and non-examples to solidify your understanding of these number skills.