Reg Content Teaching, learning and assessment Resources At the end of this unit the student should General Note: Students must be encouraged as a matter of routine to be able to: always check their solutions by substitution Resources as outlined in Stage 4 Simple Equations may be Stage 5.2 - Equations used as a revision tool First two dot points are revision and extension of Stage 4 content, so review Students: processes of backtracking, balancing etc. Before extending into harder Solve linear equations (ACMNA215) examples. solve linear equations, including The concept of lowest common multiple will need to be revisited to solve Interactive solving equations equations that involve grouping algebraic equations involving fractions. Also discuss if you cannot find the symbols, LCM just multiple the denominators of the fraction, stressing that you will eg need to look at simplifying your answer. Solve linear equations involving simple Also it is important to stress that if there is more than one term in the - in a game form algebraic fractions (ACMNA240) numerator, grouping symbol need to be inserted to ensure the correct sign of coefficient is obtained when multiplying by the LCM. solve linear equations involving one or more simple algebraic fractions, eg Adjustments compare and contrast different Lower ability students will need fractional equations to have smaller algebraic techniques for denominators, as their table skills may be poor and they may solving linear equations and experience difficulty finding the LCM of larger numbers. justify a choice for a particular case (Communicating, To extend students graph y equal to the equation and solve the Reasoning) equation graphically. Graphing software Geogebra, sketchpad and quickgraph can assist students to graph. Substitute values into formulas to determine an unknown (ACMNA234) solve equations arising from substitution into formulas, eg given and , , solve for substitute into formulas from other strands of the syllabus or from other subjects to solve problems and interpret solutions, eg (Problem
Reg Content Teaching, learning and assessment Resources At the end of this unit the student should be able to: Stage 5.2 - Equations Students: Solve linear equations (ACMNA215) solve linear equations, including equations that involve grouping symbols, eg Solve linear equations involving simple algebraic fractions (ACMNA240) solve linear equations involving one or more simple algebraic fractions, eg compare and contrast different algebraic techniques for solving linear equations and justify a choice for a particular case (Communicating, Reasoning) Substitute values into formulas to determine an unknown (ACMNA234) solve equations arising from substitution into formulas, eg given and , , solve for substitute into formulas from other strands of the syllabus or from other subjects to solve problems and interpret solutions, eg (Problem General Note: Students must be encouraged as a matter of routine to always check their solutions by substitution First two dot points are revision and extension of Stage 4 content, so review processes of backtracking, balancing etc. Before extending into harder examples. The concept of lowest common multiple will need to be revisited to solve algebraic equations involving fractions. Also discuss if you cannot find the LCM just multiple the denominators of the fraction, stressing that you will need to look at simplifying your answer. Also it is important to stress that if there is more than one term in the numerator, grouping symbol need to be inserted to ensure the correct sign of coefficient is obtained when multiplying by the LCM. Adjustments Lower ability students will need fractional equations to have smaller denominators, as their table skills may be poor and they may experience difficulty finding the LCM of larger numbers. To extend students graph y equal to the equation and solve the equation graphically. Graphing software Geogebra, sketchpad and quickgraph can assist students to graph. Resources as outlined in Stage 4 Simple Equations may be used as a revision tool Interactive solving equations - in a game form