Number Talks – Fractional Reasoning Task Cards

Common Core State Standards alignment

• CCSS.MATH.CONTENT.3.NF.A.1
  In Grade 3Standards for Mathematical PracticeNumber & Operations - FractionsDevelop understanding of fractions as numbers

  Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b....

• CCSS.MATH.CONTENT.3.NF.A.3
  In Grade 3Standards for Mathematical PracticeNumber & Operations - FractionsDevelop understanding of fractions as numbers

  Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size....

• CCSS.MATH.CONTENT.3.NF.A.3.A
  In Grade 3Standards for Mathematical PracticeNumber & Operations - FractionsDevelop understanding of fractions as numbersCCSS.MATH.CONTENT.3.NF.A.3

  Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line....

• CCSS.MATH.CONTENT.3.NF.A.3.B
  In Grade 3Standards for Mathematical PracticeNumber & Operations - FractionsDevelop understanding of fractions as numbersCCSS.MATH.CONTENT.3.NF.A.3

  Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model....

• CCSS.MATH.CONTENT.3.NF.A.3.D
  In Grade 3Standards for Mathematical PracticeNumber & Operations - FractionsDevelop understanding of fractions as numbersCCSS.MATH.CONTENT.3.NF.A.3

  Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =,...

• CCSS.MATH.CONTENT.4.NF.A.1
  In Grade 4Standards for Mathematical PracticeNumber & Operations - FractionsExtend understanding of fraction equivalence and ordering

  Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to ...

• CCSS.MATH.CONTENT.4.NF.A.2
  In Grade 4Standards for Mathematical PracticeNumber & Operations - FractionsExtend understanding of fraction equivalence and ordering

  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 ref...

• CCSS.MATH.CONTENT.4.NF.B.3
  In Grade 4Standards for Mathematical PracticeNumber & Operations - FractionsBuild fractions from unit fractions

  Understand a fraction a/b with a > 1 as a sum of fractions 1/b....

• CCSS.MATH.CONTENT.4.NF.B.3.B
  In Grade 4Standards for Mathematical PracticeNumber & Operations - FractionsBuild fractions from unit fractionsCCSS.MATH.CONTENT.4.NF.B.3

  Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/...

• CCSS.MATH.CONTENT.4.NF.B.4.A
  In Grade 4Standards for Mathematical PracticeNumber & Operations - FractionsBuild fractions from unit fractionsCCSS.MATH.CONTENT.4.NF.B.4

  Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4)....

• CCSS.MATH.CONTENT.4.NF.B.4.B
  In Grade 4Standards for Mathematical PracticeNumber & Operations - FractionsBuild fractions from unit fractionsCCSS.MATH.CONTENT.4.NF.B.4

  Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (...

• CCSS.MATH.CONTENT.5.NF.B.4
  In Grade 5Standards for Mathematical PracticeNumber & Operations - FractionsApply and extend previous understandings of multiplication and division

  Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction....

• CCSS.MATH.CONTENT.5.NF.B.4.A
  In Grade 5Standards for Mathematical PracticeNumber & Operations - FractionsApply and extend previous understandings of multiplication and divisionCCSS.MATH.CONTENT.5.NF.B.4

  Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for...