Y12 AS Mathematics 4 Equations and inequalities 1 week Teaching objectives a Recap key GCSE algebra skills including manipulating and e Interpret such inequalities graphically. f Solve and graphically interpret inequalities with brackets and solving: linear equations, quadratic equations, equations including algebraic fractions. fractions. b Solve simultaneous equations in two variables by elimination and g and through Express solutions through correct use of ‘and’ ‘or’, or by substitution. set notation. Solve simultaneous equations with one linear and one quadratic Represent linear and quadratic inequalities such as y > x +1 and c h equation. y > ax2 + bx + c graphically. d Solve linear and quadratic inequalities in a single variable. Resources for advance preparation: Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, Including Support and Including key questions and models and resources Extension homework 1 Recap of algebraic key skills from GCSE, involving Key skills multiplying out double brackets, factorising, Homework, routine practice Simplifying algebraic quadratics. The later tasks includes inequalities. questions from text book or fractions Students to spend the majority of the time working integral worksheet if available Solving algebraic fractions individually with whole class discussion and group Simplifying algebraic work towards the end of the lesson. inequalities including fractions. 2 Maths box or integral short Key skills question set, Algebraic Application of algebraic skills. Students to work in Homework, routine practice Forming and solving manipulation from GCSE. pairs, first filling in the blanks and solving their own questions from text book or algebraic equations Mini whiteboard activity? questions, then swapping questions and solving integral worksheet if available Working backwards each others. 3 Students to describe their Colum titles and the Key skills Students to work in small reasons chosen. More than 1 correct solution so Homework, routine practice Solving equations groups. Print out the table may trigger some interesting discussions and questions from text book or Solving inequalities large for students, 1 each. variations. integral worksheet if available Solving simultaneous Encourage students to equations work in pencil and try lots of different variations. Starter Main teaching Notes Consolidation/Plenary
Y12 AS Mathematics 4 Equations and inequalities 1 week Teaching objectives a Recap key GCSE algebra skills including manipulating and solving: linear equations, quadratic equations, equations including algebraic fractions. b Solve simultaneous equations in two variables by elimination and by substitution. c Solve simultaneous equations with one linear and one quadratic equation. d Solve linear and quadratic inequalities in a single variable. e Interpret such inequalities graphically. f Solve and graphically interpret inequalities with brackets and fractions. g Express solutions through correct use of ‘and’ and ‘or’, or through set notation. h Represent linear and quadratic inequalities such as y > x +1 and y > ax2 + bx + c graphically. Resources for advance preparation: Starter Main teaching Including key questions, key teaching points, models and resources Notes Including Support and Extension Consolidation/Plenary Including key questions and homework 1 Recap of algebraic key skills from GCSE, involving multiplying out double brackets, factorising, quadratics. The later tasks includes inequalities. Students to spend the majority of the time working individually with whole class discussion and group work towards the end of the lesson. Key skills Simplifying algebraic fractions Solving algebraic fractions Simplifying algebraic inequalities including fractions. Homework, routine practice questions from text book or integral worksheet if available 2 Maths box or integral short question set, Algebraic manipulation from GCSE. Mini whiteboard activity? Application of algebraic skills. Students to work in pairs, first filling in the blanks and solving their own questions, then swapping questions and solving each others. Key skills Forming and solving algebraic equations Working backwards Homework, routine practice questions from text book or integral worksheet if available 3 Students to work in small groups. Print out the table large for students, 1 each. Encourage students to work in pencil and try lots of different variations. Students to describe their Colum titles and the reasons chosen. More than 1 correct solution so may trigger some interesting discussions and variations. Key skills Solving equations Solving inequalities Solving simultaneous equations Homework, routine practice questions from text book or integral worksheet if available Starter Main teaching Notes Consolidation/Plenary
04_equations_and_inequalities_as_bom_sow.docx