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DMT Insights
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DMT Insights
DMT Insight 11 Percent Is a Relationship
This DMT Insight explains percent as a relationship between a quantity and a reference quantity (100%) and shows how bar models, double number lines, ratio tables, and benchmark percentages help students reason about that relationship.
Number (6-8)
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DMT Insights
DMT Insight 19 The Five Counting Principles
This DMT Insight explains the five counting principles and shows how students coordinate number words, units, and quantity, so teachers can distinguish reciting the counting sequence from counting a set and see what a student's counting reveals.
Number
Whole Numbers (K-2)
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DMT Insights
DMT Insight 20 Rethinking Powers of Ten
This DMT Insight explains why multiplying by ten is not "adding a zero," and shows how students come to understand powers of ten as the ×10 structure of base-ten units, where each unit is ten times the one to its right and one-tenth the one to its le
Middle School
Number (6-8)
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DMT Insights
DMT Insight 47 - Teaching Ratio Tables
This Insight reviews the research on multiplicative reasoning, unitizing, and representation, and explains how ratio tables record the relationships students use as they iterate units, compose and decompose quantities, and reason proportionally.
Division
Multiplication / Division (3-5)
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