Year 9 · Mathematics · Algebra
AC9M9A01
apply the exponent laws to numerical expressions with integer exponents and extend to variables
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Taught alongside it
The rest of Algebra in Year 9.
simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
AC9M9A03find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
AC9M9A04identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate
AC9M9A05use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings
AC9M9A06experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns
The same idea, year by year
Where AC9M9A01 comes from and where it goes, for a student working below or above Year 9.
- Year 8AC9M8A01create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
- Year 8AC9M8A02graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution
- Year 8AC9M8A03use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model
- Year 8AC9M8A04experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
- Year 10AC9M10A01expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
- Year 10AC9M10A02solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
- Year 10AC9M10A03recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
- Year 10AC9M10A04use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings
- Year 10AC9M10A05experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
Planning against AC9M9A01?
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