S3+Sample

Example Tony is thinking of a number. If he doubles the number and adds 4 he gets 18. What is the number? |||| || Stage 3 Patterns and Algebra Strand (Substrand: Patterns and Algebra) || || //Expected response// ? = 7 //Student response// The student writes 18 ÷ 2 – 4 = ? and gives the answer ? = 5 || From the work sample, the teacher observes that the student has attempted to write a number sentence using inverse operations, but has incorrectly ordered the operations || //The student responds to interview questions:// The teacher re-teaches the construction of number sentences to match problems presented in words The teacher then demonstrates to the student how to solve problems using inverse operations The teacher models checking the solution by substituting the solution into the original problem The teacher guides the student in writing number sentences for similar problems ||
 * **Transformation errors** ||
 * **Response** || **Analysis** || **Further clarification** (the student talks through or demonstrates his/her approach or, in the case of word problems, the teacher [|interviews] the student) || **Next step** ||
 * 1) Tony is thinking of a number. If he doubles the number and adds 4 he gets 18. What is the number?
 * 2) To work out the number that Tony was thinking of
 * 3) To start from 18 and work backwards to find the number
 * 4) The number had been doubled so I divided by 2 to get 9. Then, because 4 had been added to the number, I took 4 away to get 5
 * 5) My answer was 5 ||