5.N.2.1 Represent decimal fractions (e.g., 1/10, 1/100 ) using a variety of models (e.g., 10 by 10 grids, rational number wheel, base-ten blocks, meter stick) and make connections between fractions and decimals
In a Nutshell
This objective introduces the concept of decimal fractions (tenths and hundredths.) They are coming to fifth grade with a foundation of representing tenths and hundredths with concrete models. In this objective they will use a variety of models to represent what a decimal fraction looks like and be able to write it as a fraction and decimal.
Student Actions
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Teacher Actions
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Develop the Ability to Make Conjectures, Model, and Generalize by making models to show parts of a whole when exploring with fractions.
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Develop Strategies for Problem Solving by engaging in real world math explorations and conversations involving decimal fractions for the purpose of connecting fractions and decimals.
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Develop a Productive Mathematical Dispositions as students engage in tasks involving money, measurement, etc where they convert decimal fractions depending on given situation.
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Pose purposeful questions that facilitate student thinking with the intention of generating the idea that decimal fractions have an equivalent decimal.
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Support productive struggle in learning mathematics by providing a variety of manipulatives for students to explore creating decimal fractions before diving into the content.
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Facilitate meaningful mathematical discourse by providing students opportunities to use their own reasoning strategies while engaged in real world problem solving activities involving whole numbers and decimal fractions.
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Elicit and use evidence of student thinking by having students create models of decimal fractions and explaining the reasoning behind their model
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Key Understandings
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Misconceptions
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Know that decimal fractions are fractions that have a power of 10 as the denominator
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Efficiently convert decimal fractions with 10 and 100 as the denominator. Ex. 1/10=0.1, 1/100=0.01
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Understand that the metric system is based off powers of 10, therefore modeling with a meter stick will tie into measurement
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The numerator and denominator are separate whole numbers
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Whole number relationships can be applied to fractions or decimals. For example, believing 0.01 is greater than 0.1 because 0.01 has more digits
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Decimals are just like whole numbers; everything you do with whole numbers you do with decimals.
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Decimals are completely different from fractions.
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OKMath Framework Introduction
5th Grade Introduction
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