- 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 | Prerequisite relationships |
|---|---|
| Fractions Decimals Percentages | - Find the reciprocal of a number → Apply negative-integer indices |
| Algebraic Techniques | - Multiply and divide algebraic terms → Apply index laws to algebraic terms |
| Indices | - Establish and use the zero index → Simplify algebraic expressions with the zero index - Apply index laws with numerical bases → Apply index laws to algebraic terms - Apply index laws with numerical bases → Apply negative-integer indices |
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