Los Angeles Unified School District Local District South Counting Collections in the Primary Classroom Facilitator: Lisa Saldivar

What is the End Goal? 4th grade Narrative from the CCSS-M: Students generalize their understanding of place value to 1,000,000, understanding the relative sizes of numbers in each place. They apply their understanding of models for multiplication (equal-sized groups, arrays, area models), place value, and properties of operations, in particular the distributive property, as they develop, discuss, and use efficient, accurate, and generalizable methods to compute products of multi-digit whole numbers (CCSS-M, p.27)

Where do we start? K.NBT.1: Compose and decompose numbers from 11 to 19 into ten ones and some further ones, and record each composition or decomposition by a drawing or equation; understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. 1NBT 1 and 2 Extend the counting sequence: Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral. Understand place value: Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:  10 can be thought of as a bundle of ten ones — called a “ten.”  The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.  The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

Why Counting Collections? oral counting develop efficient counting strategies group objects in strategic ways record numbers represent their thinking

Counting Collections Add video from Teaching Channel

Counting Collections In groups of 2-3, take one bag of items. Your task is to count the collection of items in that bag in any way that makes sense to you. After you count your collection, record on your paper what and how you counted. Leave your items on your tables exactly as you counted them.

Debrief 1) How does this support understanding of place value? 2) What possible benefits do you see for students to engage in this type of task? 3) When might this be a good task to pose to students? 4) How do we help students think about what they are doing (meta-cognition) and provide structure to developing these skills?

Looking at Student Work What similarities and differences do you notice? If you have seen these collections in your classroom, what mathematics do students demonstrate understanding of in this task? How might you be able to help students who struggle?

Student Counting Strategies

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In Closing… We want to give students tools, not rules. Thank you!