Objective: Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.
In Lesson 7, decimal numbers to hundredths are modeled with disks and written on the place value chart, where each digit’s value is analyzed. The value of the total number is represented in both fraction and decimal expanded form. In the Debrief, students discuss the symmetry of the place value chart around 1, seeing the ones place as the “mirror” for tens and tenths and hundreds and hundredths, thereby avoiding the misconception of the “oneths” place or the decimal point itself as the point of symmetry. This understanding helps students recognize that, even as we move to the decimal side of the place value chart, a column continues to represent a unit 10 times as large as that of the column to its right.
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