symbols, words, objects, and pictorial models. Readiness Standard Compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models. Readiness Standard Compare TWO FRACTIONS HAVING THE SAME NUMERATOR OR DENOMINATOR IN PROBLEMS BY REASONING ABOUT THEIR SIZES AND JUSTIFYING THE CONCLUSION USING SYMBOLS, WORDS, OBJECTS, AND PICTORIAL MODELS Including, but not limited to: Fractions greater than zero and less than or equal to one Fraction a number in the form where a and b are whole numbers and b is not equal to zero. A fraction can be used to name part of an object or part – of a set of objects. Relationship between the whole and the part Numerator the part of a fraction written above the fraction bar that tells the number of fractional parts specified or being considered – Denominator the part of a fraction written below the fraction bar that tells the total number of equal parts in a whole or set – Whole number denominators of 2, 3, 4, 6, and 8 Comparisons of fractions are only valid when referring to the same size whole. Comparison of two fractions with the same numerator Common numerators standardize the number of pieces; therefore, compare the size of each piece (denominator). Reason about the sizes of fractions with the same numerator. Larger denominator smaller fractional smaller fraction → piece → Smaller denominator larger fractional piece larger fraction → → Comparison of two fractions with the same denominator Common denominators standardize the size of the pieces; therefore, compare the number of pieces (numerator). Reason about the sizes of fractions with the same denominator. Larger numerator more equal-size fractional pieces larger fraction → → Smaller fewer equal-size fractional pieces smaller fraction numerator → → Justification of comparison Symbols Inequality words and symbols Greater than (>) Less than (
symbols, words, objects, and pictorial models. Readiness Standard Compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models. Readiness Standard Compare TWO FRACTIONS HAVING THE SAME NUMERATOR OR DENOMINATOR IN PROBLEMS BY REASONING ABOUT THEIR SIZES AND JUSTIFYING THE CONCLUSION USING SYMBOLS, WORDS, OBJECTS, AND PICTORIAL MODELS Including, but not limited to: Fractions greater than zero and less than or equal to one Fraction – a number in the form where a and b are whole numbers and b is not equal to zero. A fraction can be used to name part of an object or part of a set of objects. Relationship between the whole and the part Numerator – the part of a fraction written above the fraction bar that tells the number of fractional parts specified or being considered Denominator – the part of a fraction written below the fraction bar that tells the total number of equal parts in a whole or set Whole number denominators of 2, 3, 4, 6, and 8 Comparisons of fractions are only valid when referring to the same size whole. Comparison of two fractions with the same numerator Common numerators standardize the number of pieces; therefore, compare the size of each piece (denominator). Reason about the sizes of fractions with the same numerator. Larger denominator → smaller fractional piece → smaller fraction Smaller denominator → larger fractional piece → larger fraction Comparison of two fractions with the same denominator Common denominators standardize the size of the pieces; therefore, compare the number of pieces (numerator). Reason about the sizes of fractions with the same denominator. Larger numerator → more equal-size fractional pieces → larger fraction Smaller numerator → fewer equal-size fractional pieces → smaller fraction Justification of comparison Symbols Inequality words and symbols Greater than (>) Less than (