In previous lessons, students counted different groups of up to 20 objects and shared with a partner how they counted. In this lesson, students and their partners each count the same collection. This process allows students to compare different ways of organizing and keeping track of objects as they count. It also helps them notice that the total number of objects stays the same regardless of the counting method. As students use and observe a variety of ways to count collections, they begin to understand that the order or arrangement that objects are counted in does not affect the number of objects. Students will further explore the conservation of number when a group of objects is rearranged in a future lesson.
Representation
MLR8
Explain (orally) methods for determining the number of objects in a collection.
Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.
Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects.
Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., and ).
Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects.