Fractions+learning+progressions

** 2nd grade ** 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.

N.ME.02.18 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.02.20 Place 0 and halves, e.g., ½, 1 ½, 2 ½, on the number line; relate to a ruler. N.ME.02.21 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.03.16 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.03.18 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.02.19 Recognize, name, and write commonly used fractions: **** 1/2, 1/3, 2/3, 1/4, 2/4, 3/4 **** . **
 * 3rd Grade **


 * N.ME.03.17 Recognize, name and use equivalent fractions with denominators 2, 4, and 8, using strips as area models. **
 * 4th Grade **(Resources)

**1---** ** N.ME.04.20 Understand fractions as parts of a set of objects. ** 2--- N.ME.03.17 Recognize, name and use equivalent fractions with denominators 2, 4, and 8, using strips as area models.

N.ME.03.18 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.MR.04.22 Locate fractions with denominators of 12 or less on the number line; include mixed numbers. N.MR.04.23 Understand the relationships among halves, fourths, and eighths and among thirds, sixths, and twelfths.

** N.MR.04.21 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. ** **3---** N.ME.03.19 Understand that any fraction can be written as a sum of unit fractions, e.g., 3/4 = 1/4 + 1/4 + 1/4. N.MR.03.20 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.04.21 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.04.27 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.04.29 Find the value of an unknown in equations such as 1/8 + x = 5/8 or 3/4 - y = 1/2. Note: reduce to lowest terms – depends on the context of the problem (like remainders) all of 4th grade N.MR.05.21 Solve for the unknown in equations such as: 1/4 + x = 7/12. N.FL.05.14 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.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).* **
 * 5th grade **

N.FL.05.18 Use mathematical statements to represent an applied situation involving addition and subtraction of fractions.

** N.MR.05.19 **** Solve contextual problems that involve finding sums and differences of fractions with unlike denominators using knowledge of equivalent fractions. ** N.FL.06.10 Add, subtract, multiply and divide positive rational numbers fluently.
 * 6th grade **

N.MR.06.01 Understand division of fractions as the inverse of multiplication ...

N.FL.06.02 Given an applied situation involving dividing fractions, write a mathematical statement to represent the situation.

N.MR.06.03 Solve for the unknown in equations such as: ¼ ÷ x = 1, ¾ ÷ x = ¼ ...

N.ME.05.12 Find the product of two unit fractions with small denominators using an area model.

N.MR.05.13 Divide a fraction by a whole number and a whole number by a fraction, using simple unit fractions.

** N.FL.06.04 **** Multiply and divide any two fractions, including mixed #s, fluently. **

N.FL.07.09 Estimate results of computations with rational numbers.
 * 7th grade **

** N.FL.07.08 Add, subtract, multiply, and divide positive and negative rational numbers fluently in solving problems. **