- MA5-IND-C-01 simplifies algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases
📖 Prior Knowledge
| Content | Prior knowledge | Used for |
|---|---|---|
| Fractions Decimals Percentages | - reciprocal | - negative indices |
| Algebraic Techniques | - generalising relationships - simplifying expressions | - index laws with variables - power of a product and quotient |
| Indices | - index laws with numerical bases | - index laws with variables |
Extend and apply the index laws to variables, using positive-integer indices and the zero index.pdf
- Apply the index laws for numerical bases with positive-integer indices to develop the index laws in algebraic form
- Establish that algebraically using index laws
- Simplify algebraic expressions that involve the zero index
Simplify algebraic products and quotients using index laws.pdf
- Simplify algebraic expressions that involve powers, products and quotients of simple algebraic terms containing positive-integer indices
Apply index laws to numerical expressions with negative-integer indices.pdf
- Apply index notation, patterns and index laws to establish the meaning of negative indices for numerical bases
- Evaluate numerical expressions involving a negative index by first representing them with a positive index
- Represent given numbers in index form (integer indices and bases only) and vice versa