The previous A-Crash consisted of *everything* we could find in the Daft Curriculum on the algebraic treatment of polynomials and polynomial equations. This companion A-Crash consists of *everything* we could find in the Year 10 draft on the same material.

**CONTENT (Year 10)**

*expand and factorise expressions and apply exponent laws involving products, quotients and powers of variables. Apply to solve equations algebraically*

**ELABORATIONS**

**reviewing and connecting exponent laws of numerical expressions with positive and negative integer exponents to exponent laws involving variables**

**using the distributive law and the exponent laws to expand and factorise algebraic expressions**

**explaining the relationship between factorisation and expansion**

**applying knowledge of exponent laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral exponents to solve equations algebraically**

**CONTENT (Year 10 Optional Content)**

*numerical/tabular, graphical and algebraic representations of quadratic functions and their transformations in order to reason about the solutions of*

**ELABORATIONS**

*connecting the expanded and transformed representations*

*deriving and using the quadratic formula and discriminant to identify the roots of a quadratic function*

*identifying what can be known about the graph of a quadratic function by considering the coefficients and the discriminant to assist sketching by hand *

*solving equations and interpreting solutions graphically *

*recognising that irrational roots of quadratic equations of a single real variable occur in conjugate pairs*