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1. Better explain what the decimal point indicates and describe decimal notation

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1. Better explain what the decimal point indicates and describe decimal notation

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This tip relates to the Common Core State Standards for Mathematics because it can help students understand decimal notation for fractions, and compare decimal fractions. This tip can also be beneficial when students are adding or subtracting fractions while using decimals. For example, students may have a hard time understanding that .5 and .50 are equivalent, so having them express these decimals as fractions in the simplest form can show them they are equal.

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2. Use various methods to teach students about fractions

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2. Use various methods to teach students about fractions

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This tip relates to the Common Core State Standards for Mathematics because it can help students explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. It can also be helpful because every student learns differently and some may excel when using assorted methods. For example, students could either use the benchmarking system where they compare the size of fractions with 0, 1/2, or 1. They could also use residual thinking where they would think about the amount required to build up to a whole.

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3. Clarify what the numerator and denominator are and how they relate

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3. Clarify what the numerator and denominator are and how they relate

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This tip is related to the Common Core State Standards for Mathematics because it would help students compare fractions with the same or different numerators or denominators. This could also assist students with understanding that a fraction is a division of the numerator by the denominator. For example, in the fraction a/b, "b" is the name or size of the part and "a"

is the number of parts of that

name or size.

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4. Use visual fraction models or equations to show the problem

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4. Use visual fraction models or equations to show the problem

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This tip for teaching and learning about fractions applies to the Common Core State Standards for Mathematics because it could help students build fractions from unit fractions. This tip can help students solve real world problems and better visualize the problem they are solving. For example, students can utilize fraction bars to help them understand and picture the problem they are solving.

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5. Use a number line to show the values of fractions and decimals

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5. Use a number line to show the values of fractions and decimals

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This tip relates to the Common Core State Standards for Mathematics as students will be able to develop an understanding of fractions as numbers. A number line would also help students visualize how decimals, whole numbers,  and fractions relate. For example, a student would be able to see that 1 2/10 is equivalent to 1.2.