Model car fractions 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about fractions of numbers. Jordan, Kelly, Ariana, Kimi and Iona have some model cars. Question 1Change answer a) Kelly has 24 cars and \(1 \over 4\) of them are blue. How many blue cars does she have? Question 1Change answer b) \(1 \over 10\) of Jordan's 50 cars are red. How many red cars does he have? Question 1Change answer c) \(3 \over 5\) of Ariana's 25 cars are Toyotas. How many Toyotas does she have? Question 1Change answer d) Kimi has 8 black cars. \(1 \over 4\) of all her cars are black. How many cars does Kimi have altogether? Question 1Change answer e) \(2 \over 3\) of Iona's cars are Fords. She has 12 Fords. How many cars does Iona have altogether? Task administration: This task can be completed with pencil and paper or online (with auto-marking displayed to students). Levels: 3, 4 Curriculum info: Maths, Number and Algebra, Number Strategies Keywords: fractions, fractions as operators Description of task: Students calculate fractions of a total number of cars. They also calculate the total number of cars, given an identified fraction of this total. Curriculum Links: This resource can help to identify students' ability to apply simple multiplicative strategies to find fractions of sets, shapes, and quantities. Learning Progression FrameworksThis resource can provide evidence of learning associated with Multiplicative thinking, sets 4-5Multiplicative thinking, sets 6-7 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y6 (11/2003) a) 6 easy b) 5 moderate c) 15 easy d) 32 moderate e) 18 difficult NOTE: d) and e) may be more difficult as they require working out the total number of cars from a number of cars that constitute a given fraction. Diagnostic and formative information: Student response Likely calculation Likely misconception d) e) 2 8 1/4 of 8 2/3 of 12 Misinterprets the part for the whole Misinterprets as 1/4 of 8 rather than 4 × 8. Misinterprets 2/3 of 12. a) b) c) d) e) d) e) 4 10 3 4 3 8 12 Other Misunderstandings with Fractions Gives the denominator of the fraction Gives the number of cars stated in the question. e) 36 12 × 3 Using denominator only Answers as if 1/3 of the 12 cars were Fords Sharing Easter eggs Flowers, books and sheep Buying Christmas presents Food fractions Food fractions II Cookie monster Hungry shark Making necklaces II Soccer season More marbles Counters and fractions Money fractions Finding fractions Fractions of money Fraction Soup Toy holiday Food for the day Paying the bills Fractions and sets Building percentages Finding the fraction of things Farm fractions Shading fractions of sets and shapes Finding fractions II Bigger or smaller? Fruit Salad