- Mathematics Advanced
- Year 10
Algebraic Expressions and Equations
approx. 9 hrs
5 topics
24 concepts
Gain proficiency with Algebraic Expressions and Equations and advance into Year 11 with confidence.
approx. 9 hrs
5 topics
24 concepts
Gain proficiency with Algebraic Expressions and Equations and advance into Year 11 with confidence.
Year 10 Algebraic Expressions and Equations content aligns with the Australian curriculum. In Advanced Algebraic Expressions and Equations, students will develop confidence in working with algebraic techniques to answer challenging questions including factorising and expanding quadratic expressions, rearranging complex formulae and solving linear, quadratic and simultaneous equations.
This learning program is made up of the following 5 topics, broken down into 24 concepts.
Expand the Difference of Two Squares
Expand and simplify a variety of expressions involving binomial products
Expand perfect squares
Factorise a quadratic expression by completing the square
Factorise perfect squares
Factorise non-monic quadratic trinomial expressions
Factorise by grouping in pairs
Factorise the Difference of Two Squares
Factorise monic quadratic trinomial expressions
Factorise and simplify algebraic expressions involving a quadratic expression on the numerator and/or denominator
Factorise and simplify algebraic expressions involving multiplying and/or dividing algebraic fractions with a quadratic expression on the numerator and/or denominator
Factorise and simplify algebraic expressions involving adding and/or subtracting algebraic fractions with a quadratic expression on the numerator and/or denominator
Add or subtract algebraic fractions with binomial numerators or denominators
Generate and solve a quadratic equation from a word problem and interpret results
Solve non-monic quadratic equations
Solve simultaneous equations, where one or more equations are non-linear and interpret results
Solve monic quadratic equations
Complete the square to solve quadratic equations
Substitute a pronumeral to simplify higher-order equations to solve the equation
Use the quadratic formula to solve quadratic equations
Select the appropriate factorising method to solve a given quadratic equation
Evaluate the discriminant to determine the number of real solutions of a quadratic equation
Rearrange more complex formulas to change the subject of the equation
Solve simple cubic equations
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