- Mathematics
- Year 10
Algebraic Expressions and Equations
approx. 9 hrs
7 topics
23 concepts
Improve your understanding of Algebraic Expressions and Equations and build strong foundations for Year 11.
approx. 9 hrs
7 topics
23 concepts
Improve your understanding of Algebraic Expressions and Equations and build strong foundations for Year 11.
The Year 10 Algebraic Expressions and Equations program covers essential algebraic techniques and is aligned with the Number and Algebra strand of the Australian curriculum. In this program, students practice a range of algebraic techniques including factorising and expanding expressions, substitution, solving linear, quadratic and simultaneous equations.
This learning program is made up of the following 7 topics, broken down into 23 concepts.
Simplifying algebraic fractions addition/ subtraction with a single algebraic term denominator
Simplifying algebraic fractions addition/ subtraction with a numerical denominator
Simplifying algebraic fractions multiplication/ division with a numerical denominator or single algebraic term
Expand algebraic expressions including indices and/or negative coefficients
Factorising algebraic expressions involving terms with indices and/or negative coefficients
Expand binomial products using area diagrams
Expand binomial products using FOIL method or distributive method
Factorise monic quadratic trinomial expressions
Solve linear equations involving more than one algebraic fraction
Generate and solve linear equations from word problems and interpret the results
Solve linear equations involving more than three steps
Substitute positive or negative integers into a given formula
Solve simple quadratic equations
Solve monic quadratic equations
Generate and solve linear simultaneous equations from word problems and interpret results
Solve linear simultaneous equations by finding the point of intersection of their graphs
Solve linear simultaneous equations using elimination method
Solve linear simultaneous equations using elimination method where one or both of the equations need to be modified
Solve linear simultaneous equations using substitution method
Double inequalities
Represent linear inequalities on the number line
Solve linear inequalities, recognising that there are infinite solutions
Solve linear inequalities by reversing the direction of the inequality sign when multiplying or dividing by a negative number
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