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Lesson Plan

10. Counting and Representing in more than one way (A)

teaches Common Core State Standards CCSS.Math.Content.K.CC.B.5 http://corestandards.org/Math/Content/K/CC/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
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Lesson objective: Students extend their understanding of counting  to 20. Given a number 1-20, students will accurately count out that many objects, and write the corresponding numeral. Students understand that they can count the same quantity in different arrangements: in a circle, in a line or in a rectangular array. Students develop a system for ensuring they have counted each object and for keeping track of the objects that have already been counted. 

This lesson provides an opportunity for students to apply their knowledge and understanding of quantity to a  mathematical situation. Students are asked to choose a number (1-20) and  write the number on their story mat. They accurately count out that many objects and choose how they will represent it: arranging in a circle, putting them in a line or arranging them in a rectangular array such as a tens frame. Students may want to show their number in more than one way. 

Key Concept students will use: 

  • The number of objects arranged in a line, rectangular array, or circle is the same no matter how it is counted.
  • Given a number 1-20 we can count out that number of objects. 

Skills students will use:

  • Rote counting and understanding amount counted; (Grade K, Unit 1; K.CC.A.1)

  • Each item in a collection must be counted once and only once; (Unit 1; K.CC.B.4a)

  • Count up to 10 objects accurately; (Grade K, Unit 2; K.CC.B.4a)

  • Any number of objects can be represented with a written numeral; (Grade K, Unit
  • 2, KK.CC.A.3)

  • Count to answer “how many?” questions about things arranged in a line; (Grade K, Unit 2, K.CC.B.5)

  • Count to answer “how many?” questions about things arranged in a line or rectangular array; (Grade K, Unit 3, K.CC.B.5)

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they  connect concrete representations to written numerals. They also engage in Mathematical Practice 6 (Attend to Precision) as they develop strategies for counting accurately and efficiently.

Key vocabulary: 

  • circle
  • ten frames
  • line
  • rectangular array
  • value

Special materials needed:

  • 1-20 number path 
  • countable objects
  • story mat (ten frames and paper to record work may also be used)
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Rote counting to 50 and representing up to 20 objects

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