MA4-3WM: recognises and explains mathematical relationships using reasoning Student resources MA4-2WM: applies appropriate mathematical techniques to solve problems, MA4-1WM: communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols, MA4-8NA: Generalises number properties to operate with algebraic expressions, References Australian curriculumĪCMNA176: Create algebraic expressions and evaluate them by substituting a given value for each variable, using authentic formulas to perform substitutions NSW syllabus Students should also practice the use of algebraic substitution in a variety of situations including simple numeric substitution into formulas and cases where one algebraic expression is substituted for another. In five years’ time, my son will be half my age ∴ s + 5 = ½ (d+5).Three times a particular number plus five is equal to thirty-five - 3 x + 5 = 35.Particular attention should be given to order of operation, the correct use of mathematical convention and potential problem areas with the use of language Students should first review the process of writing algebraic expressions and equations from a worded description or rule. Students then need to recognise and multiply each of the terms by the common denominator 12, and then solve the resulting equation: Taking the equation K=S+15 students need to replace the K with K= ¾ Z and the S with S= ⅔ Z thus creating the equation ¾ Z= ⅔ Z+15 This should result in the following equations: To do this efficiently, they will need to choose carefully and have a confident understanding of substitutions and solving equations involving fractions. Students will then need to perform appropriate substitutions and solve the resulting equation. When solving this problem students will need to create generalised algebraic equations for each part of the question.
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