Compare fractions to a benchmark of one half using number lines

In this lesson, you will learn how to compare fractions with different numerators and denominators to the benchmark fraction of one half by using number lines.

ADDITIONAL MATERIALS


STANDARDS

VA.NS.4.2.a compare and order fractions and mixed numbers, with and without models;

VA.NS.6.2.b compare and order positive rational numbers.

VA.NS.3.2.c compare fractions having like and unlike denominators, using words and symbols ([greater than], [less than], =, or ≠), with models.

VA.NS.5.2.b compare and order fractions, mixed numbers, and/or decimals in a given set, from least to greatest and greatest to least.

CCSS.4.NF.A.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols [greater than], =, or [less than], and justify the conclusions, e.g., by using a visual fraction model.

FL.MAFS.4.NF.1.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols [greater than], =, or [less than], and justify the conclusions, e.g., by using a visual fraction model.

IN.4.NS.5 Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark, such as 0, 1/2, and 1). Recognize comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols [greater than], =, or [less than], and justify the conclusions (e.g., by using a visual fraction model).

TEKS.4.3.D compare two fractions with different numerators and different denominators and represent the comparison using the symbols [greater than], =, or [less than];

TEKS.3.3.H 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.

TEKS.6.2.D order a set of rational numbers arising from mathematical and real-world contexts; and

свернуть