At the fair 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about solving problems written in words or in equations. Question 1Change answer a) Visitors to a school fair pay an entrance fee, and then pay 20c for each sideshow. A visitor who has n turns at a sideshow spends 50 + 20n cents altogether. a) Visitors to a school fair pay an entrance fee, and then pay 20c for each sideshow. A visitor who has n turns at a sideshow spends 50 + 20n cents altogether. i) How much is the entrance fee? cents ii) Iona has 6 turns at the sideshows. How much does she spend altogether, including the entrance fee? $ iii) Tanielu and Lani spend $2.40 between them on sideshows. Lani has two more turns at sideshows than Tanielu. How many turns did they each have? Tanielu: turns Lani: turns Question 1Change answer b) Ms Iosefa takes his two children, Alex and Marie, to another fair. He spends a total of $7.00 altogether on sideshows and entrance fees. b) Ms Iosefa takes his two children, Alex and Marie, to another fair. He spends a total of $7.00 altogether on sideshows and entrance fees. i) If Marie had 8 turns at the sideshows, and her father had none, how many turns did Alex have? turns ii) Using the formula (100 + 20n) cents, work out how much Ms Iosefa spent on Marie at the fair. $ Task administration: This task is completed with pencil and paper or online with auto-marking. Copyright: Image: iStock Level: 4 Curriculum info: Maths, Number and Algebra, Equations and expressions Keywords: algebraic expressions, linear equations, money Description of task: Students solve a number of mathematical problems about the cost of a visit to the fair using algebraic expressions provided. Learning Progression FrameworksThis resource can provide evidence of learning associated with Using symbols and expressions to think mathematically, sets 4-5 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y8 (04/1997) Y9 (04/1997) a) i) ii) iii) 50 cents $1.70 [50 + 6 × 20] [Accept if = i) + $1.20] Tanielu 5 turns, Lani 7 turns [12 turns are possible for $2.40 so t + (t + 2) = 12] moderate moderate difficult moderate moderate moderate b) i) ii) 12 turns [(400 - 160) ÷ 20] $2.60 difficult very difficult moderate difficult Diagnostic and formative information: Student response Likely calculation Likely misconception a) i) ii) 70c $1.20 50c + 20c 6 × 20c Gets n = 1 for entry rather than n = 0. Ignores entry fee for Iona. b) i) 27 17 $7.00 ÷ 20c = 35 and 35 - 8 25 - 8 Ignores all entry fees. Ignores Mr Rogers' entry fee. Balancing the bank account