Exemplars Turkey Feathers Version II There were a lot of paper turkeys on the classroom wall. Each turkey had 5 feathers. I counted 20 feathers. How many paper turkeys were on the classroom wall? ��������� ���� ��������������������� Turkey Feathers II K–2 – Page 109 – Exemplars Turkey Feathers Version II Suggested Grade Span Pre–K–2 Grade(s) in Which Task Was Piloted Kindergarten Task There were a lot of paper turkeys on the classroom wall. Each turkey had 5 feathers. I counted 20 feathers. How many paper turkeys were on the classroom wall? Alternative Versions of Task More Accessible Version: There were a lot of paper turkeys on the classroom wall. Each turkey had 3 feathers. I counted 9 feathers. How many paper turkeys were on the classroom wall? More Challenging Version: There were a lot of paper turkeys on the classroom wall. Some turkeys had 4 feathers and some turkeys had 2 feathers. I counted 16 feathers. How many paper turkeys could be on the classroom wall? Show all the possibilities. NCTM Content Standards and Evidence Number and Operations Standard for Grades Pre–K –2 Instructional programs from pre–kindergarten through grade 12 should enable students to — • Understand meanings of operations and how they relate to one another. • NCTM Evidence: Understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally. • Exemplars Task Specific Evidence: This task requires students to devise a method for dividing 20 by five. Time/Context/Qualifiers/Tip(s) From Piloting Teacher This is a medium–length task. Links This task could be given around Thanksgiving. ��������� ���� ��������������������� Turkey Feathers II K–2 – Page 111 – Exemplars Common Strategies Used to Solve This Task Most students began drawing representations of turkeys and putting feathers on each turkey. They counted all the feathers until they reached 20. Possible Solutions Original Version: 20 total feathers ÷ 5 feathers = 4 turkeys More Accessible Version: 9 total feathers ÷ 5 feathers = 3 turkeys More Challenging Version: Number of feathers on each turkey 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 2, 2, 2, 2, 2, 2, 2, 2, 4 2, 2, 2, 2, 2, 2, 4, 4 2, 2, 2, 2, 4, 4, 4 2, 2, 4, 4, 4, 4 4, 4, 4, 4, 4 Number of turkeys 10 9 8 7 6 5 Task Specific Assessment Notes General Notes This task encourages students to draw diagrams but may not elicit strong mathematical language or notation. Novice The Novice will make turkeys but no strategy will be chosen for placing the feathers. No awareness of audience will be communicated and little or no mathematical language will be present. Apprentice The Apprentice will have a partially correct solution or a solution with no connections or observations that go beyond just the answer. An error in making or counting the correct number of turkeys or placing the correct number of feathers may be evident, but some evidence of correct reasoning is present. Some math language will be used to communicate the solution. An attempt will be made to construct a mathematical representation although it may not be labeled or have a key. ��������� ���� ��������������������� Turkey Feathers II K–2 – Page 112 – Exemplars Practitioner The Practitioner will achieve a correct solution. The Practitioner will demonstrate an understanding of placing the correct number of feathers on the correct number of turkeys. A connection or observation about the problem, for example of a pattern that is noticed, will be made but it will not help further the solution. An accurate and appropriate mathematical representation will be constructed. Expert The Expert will achieve a correct solution. Evidence is used to justify and support decisions made and conclusions reached, for example by solving the problem in more than one way to verify the solution. A sense of audience and purpose is communicated. Mathematical connections or observations, for example, about patterns that are noticed, are made and mathematical representation is used to extend thinking and clarify or interpret the solution. ��������� ���� ��������������������� Turkey Feathers II K–2 – Page 113 –
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