Y12 AS Mathematics 2 Surds and Indices 1 week Teaching objectives a Recap laws of indices from GCSE. d Use and manipulate surds, including rationalising the denominator. b Understand and use the laws of indices for all rational exponents. e Rationalising the denominator with a surd and a non surd term as c Recap laws of surds from GCSE, including multiplication of surds the denominator. and rationalising the denominator with a single surd term. Resources for advance preparation: Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and Including Support and Including key questions and resources Extension homework 1 Reminder of the rules for indices which they should know Key skills from GCSE. Homework, routine practice Paired task Using negative indices Encourage students to copy key examples and notes into questions from text book or to the power “Anything books/folder integral worksheet if available of 0 is 1” 2 Maths box or integral Key skills Homework, routine practice short question set, using Group task questions from text book or Using fractional index rules. Mini Key questions for students to integral worksheet if available indices ask themselves. “are there whiteboard activity. any values I can substitute in to each equation so that Using laws of indices they are not equal” 3 Us the task as an opportunity for students to develop Key skills Suggested use: paired notes in book/folder. Homework, routine practice Using laws of surds task with cards being questions from text book or Simplifying surd organised on A3 paper. Encourage students to explain their reasoning to the for integral worksheet if available expressions Conditions for each of the cards, encourage whole class debate and statements t be true discussion. written underneath. 4 Maths box or integral Key skills short question set, using Start as an individual task, with little instruction, students Homework, revision for surds Rationalising the surd rules. Mini should be able to complete the first couple of rows. Allow and indices assessment. denominator whiteboard activity. students to pair up as they work through the task, weaker students with stronger students. Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and Including Support and Including key questions and
Y12 AS Mathematics 2 Surds and Indices 1 week Teaching objectives a Recap laws of indices from GCSE. b Understand and use the laws of indices for all rational exponents. c Recap laws of surds from GCSE, including multiplication of surds and rationalising the denominator with a single surd term. d Use and manipulate surds, including rationalising the denominator. e Rationalising the denominator with a surd and a non surd term as the denominator. 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 Paired task Reminder of the rules for indices which they should know from GCSE. Encourage students to copy key examples and notes into books/folder Key skills Using negative indices “Anything to the power of 0 is 1” Homework, routine practice questions from text book or integral worksheet if available 2 Maths box or integral short question set, using index rules. Mini whiteboard activity. Group task Key questions for students to ask themselves. “are there any values I can substitute in to each equation so that they are not equal” Key skills Using fractional indices Using laws of indices Homework, routine practice questions from text book or integral worksheet if available 3 Suggested use: paired task with cards being organised on A3 paper. Conditions for statements t be true written underneath. Us the task as an opportunity for students to develop notes in book/folder. Encourage students to explain their reasoning to the for each of the cards, encourage whole class debate and discussion. Key skills Using laws of surds Simplifying surd expressions Homework, routine practice questions from text book or integral worksheet if available 4 Maths box or integral short question set, using surd rules. Mini whiteboard activity. Start as an individual task, with little instruction, students should be able to complete the first couple of rows. Allow students to pair up as they work through the task, weaker students with stronger students. Key skills Rationalising the denominator Homework, revision for surds and indices assessment. Starter Main teaching Including key questions, key teaching points, models and Notes Including Support and Consolidation/Plenary Including key questions and