Fractions+learning+progressions

Understand simple fractions: Know what simple fractions mean, how they are written, how they are represented (pieces of a pizza, etc.) where they are on the number line, how they can be modeled with paper folding. (No additional GLCEs under this power standard.) (Note: reduce to lowest terms – depends on the context of the problem, like remainders) Power standard 3 from 4th grade, plus > Fractions
 * 2nd grade **
 * Recognize, name, and write commonly used fractions: **** 1/2, 1/3, 2/3, 1/4, 2/4, 3/4 **** . N.ME.02.19 **
 * Recognize, name, and represent commonly used unit fractions with denominators 12 or less; model 1/ 2, 1/3, 1/4 by folding strips. N.ME.02.18
 * Place 0 and halves, e.g., ½, 1 ½, 2 ½, on the number line; relate to a ruler. N.ME.02.20
 * For unit fractions from 1/12 to 1/2, understand the inverse relationship between the size of a unit fraction and the size of the denominator; compare unit fractions from 1/12 to 1/2. N.ME.02.21
 * 3rd Grade **
 * Recognize, name and use equivalent fractions with denominators 2, 4, and 8, using strips as area models. N.ME.03.17 **
 * Understand that fractions may represent a portion of a whole unit that has been partitioned into parts of equal area or length; use the terms “numerator” and “denominator.” N.ME.03.16
 * Place fractions with denominators of 2, 4, and 8 on the number line; relate the number line to a ruler; compare and order up to three fractions with denominators 2, 4, and 8. N.ME.03.18
 * 4th Grade **
 * Power standard 1: N.ME.04.20 Understand fractions as parts of a set of objects. **
 * Power standard 2: Explain why equivalent fractions are equal, using models such as fraction strips or the number line, for fractions with denominators of 12 or less, or equal to 100. N.MR.04.21 **
 * Recognize, name and use equivalent fractions with denominators 2, 4, and 8, using strips as area models. N.ME.03.17
 * Place fractions with denominators of 2, 4, and 8 on the number line; relate the number line to a ruler; compare and order up to three fractions with denominators 2, 4, and 8. N.ME.03.18
 * Locate fractions with denominators of 12 or less on the number line; include mixed numbers. N.MR.04.22
 * Understand the relationships among halves, fourths, and eighths and among thirds, sixths, and twelfths. N.MR.04.23
 * Power standard 3: **** N.MR.04.28 **** Solve contextual problems involving sums and differences for fractions where one denominator is a multiple of the other (denominators 2 through 12, and 100). **
 * Understand that any fraction can be written as a sum of unit fractions, e.g., 3/4 = 1/4 + 1/4 + 1/4 . N.ME.03.19
 * Recognize that addition and subtraction of fractions with equal denominators can be modeled by joining or taking away segments on the number line. N.MR.03.20
 * Explain why equivalent fractions are equal, using models such as fraction strips or the number line, for fractions with denominators of 12 or less, or equal to 100. N.MR.04.21
 * Add and subtract fractions less than 1 with denominators through 12 and/or 100, in cases where the denominators are equal or when one denominator is a multiple of the other, e.g., 1/12 + 5/12 = 6/12 ; 1/6 + 5/12 = 7/12 ; 3/10 – 23/100 = 7/100 . N.MR.04.27
 * Find the value of an unknown in equations such as 1/8 + x = 5/8 or 3/4 - y = 1/2 . N.MR.04.29
 * 5th grade **
 * Solve contextual problems that involve finding sums and differences of fractions with unlike denominators using knowledge of equivalent fractions. ** ** N.MR.05.19 **
 * Solve for the unknown in equations such as: 1/4 + x = 7/12. N.MR.05.21
 * Add and subtract fractions with unlike denominators through 12 and/or 100, using the common denominator that is the product of the denominators of the 2 fractions, e.g., 5/8 and 7/10: use 80 as the common denominator. N.FL.05.14
 * Use mathematical statements to represent an applied situation involving addition and subtraction of fractions. N.FL.05.18
 * 6th grade **
 * Multiply and divide any two fractions, including mixed #s, fluently. **** N.FL.06.04 **
 * Add, subtract, multiply and divide positive rational numbers fluently. N.FL.06.10
 * Understand division of fractions as the inverse of multiplication ... N.MR.06.01
 * Given an applied situation involving dividing fractions, write a mathematical statement to represent the situation. N.FL.06.02
 * Solve for the unknown in equations such as: ¼ ÷ x = 1, ¾ ÷ x = ¼ ... N.MR.06.03
 * Find the product of two unit fractions with small denominators using an area model. N.ME.05.12
 * Divide a fraction by a whole number and a whole number by a fraction, using simple unit fractions. .MR.05.13
 * 7th grade **
 * Add, subtract, multiply, and divide positive and negative rational numbers fluently in solving problems. N.FL.07.08 **
 * Estimate results of computations with rational numbers. N.FL.07.09