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Interactive Problem Bank

  • Fraction Circle Manipulative
    Fraction Circles
  • Fraction Circle Manipulative
    Number Lines
  • Fraction Circle Manipulative
    Fraction Bars
  • Fraction Circle Manipulative
    Sets
  • Fraction Circle Manipulative
    Area Models
  • Fraction Circle Manipulative
    Base Ten Blocks
By TopicBy Standard
Grade 3
  • 3.NF.1
  • 3.NF.2
  • 3.NF.3a
  • 3.NF.3b
  • 3.NF.3c
  • 3.NF.3d
Grade 5Grade 4Grade 6
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Grade 3 - Number and Operations - Fractions

3.NF.1

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.

Part of a Whole

3.NF.1 practice problems part of a whole
Fraction circle digital manipulative indicator
3.NF.1 practice problems part of a whole
Fraction circle digital manipulative indicator

Fraction Word Names

3.NF.1 practice problems fraction word names
Fraction circle digital manipulative indicator
3.NF.1 practice problems fraction word names
Fraction circle digital manipulative indicator
3.NF.1 practice problems fraction word names
Fraction circle digital manipulative indicator
3.NF.1 practice problems fraction word names
Fraction circle digital manipulative indicator

Connecting Model and Symbol - Bars

3.NF.1 practice problems connecting model and symbol - bars
Fraction bar digital manipulative indicator
3.NF.1 practice problems connecting model and symbol - bars
Fraction bar digital manipulative indicator

Connecting Model and Symbol - Mixed Shapes

3.NF.1 practice problems connecting model and symbol - mixed shapes
3.NF.1 practice problems connecting model and symbol - mixed shapes
Set digital manipulative indicator

Modeling Fractions with Bars

3.NF.1 practice problems modeling fractions with bars
Fraction bar digital manipulative indicator
3.NF.1 practice problems modeling fractions with bars
Fraction bar digital manipulative indicator

Modeling Fractions with Sets of Objects

3.NF.1 practice problems modeling fractions with sets of objects
Set digital manipulative indicator
3.NF.1 practice problems modeling fractions with sets of objects
Set digital manipulative indicator

Modeling Fractions with Circles

3.NF.1 practice problems modeling fractions with circles
Fraction circle digital manipulative indicator
3.NF.1 practice problems modeling fractions with circles
Fraction circle digital manipulative indicator

Numerator and Denominator

3.NF.1 practice problems numerator and denominator

Equally Sized Parts of the Whole

3.NF.1 practice problems equally sized parts of the whole
3.NF.1 practice problems equally sized parts of the whole

3.NF.2

Understand a fraction as a number on the number line; represent fractions on a number line diagram.
  1. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
  2. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

Introducing 1/b on the Number Line

3.NF.2 practice problems introducing 1/b on the number line
Number line digital manipulative indicator
3.NF.2 practice problems introducing 1/b on the number line
Number line digital manipulative indicator

Real World Number Line Applications

3.NF.2 practice problems real world number line applications
3.NF.2 practice problems real world number line applications

Partitioning the Number Line

3.NF.2 practice problems partitioning the number line
Number line digital manipulative indicator
3.NF.2 practice problems partitioning the number line
Number line digital manipulative indicator

Labeling Number Lines

3.NF.2 practice problems labeling  number lines
Number line digital manipulative indicator

Length on a Number Line

3.NF.2 practice problems length on a number line
Number line digital manipulative indicator
3.NF.2 practice problems length on a number line
Number line digital manipulative indicator

Placing Fractions on a Number Line

3.NF.2 practice problems placing fractions on a number line
Number line digital manipulative indicator
3.NF.2 practice problems placing fractions on a number line
Number line digital manipulative indicator

Placing Fractions Between 1 and 2 on a Number Line

3.NF.2 practice problems placing fractions between 1 and 2 on a number line
Number line digital manipulative indicator

3.NF.3a

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

Relating Fraction Pieces to Each Other

3.NF.3a practice problems relating fraction pieces to each other
Fraction circle digital manipulative indicator
3.NF.3a practice problems relating fraction pieces to each other
Fraction circle digital manipulative indicator

3.NF.3b

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.

Generating Equal Fractions

3.NF.3b practice problems generating equal fractions
Fraction circle digital manipulative indicator
3.NF.3b practice problems generating equal fractions
Number line digital manipulative indicator

Modeling Equivalence in Context

3.NF.3b practice problems modeling equivalence in context
Fraction bar digital manipulative indicator
3.NF.3b practice problems modeling equivalence in context
Fraction circle digital manipulative indicator

The Meaning of Equivalence

3.NF.3b practice problems the meaning of equivalence
Fraction bar digital manipulative indicator
3.NF.3b practice problems the meaning of equivalence
Fraction bar digital manipulative indicator

Introduction to Equivalent Fractions

3.NF.3b practice problems introduction to equivalent fractions
Fraction bar digital manipulative indicator
3.NF.3b practice problems introduction to equivalent fractions
Fraction bar digital manipulative indicator

3.NF.3c

Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

Whole Numbers as Fractions on a Number Line

3.NF.3c practice problems whole numbers as fractions on a number line
Number line digital manipulative indicator
3.NF.3c practice problems whole numbers as fractions on a number line
Number line digital manipulative indicator

3.NF.3d

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 >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Ordering Fractions in Context

3.NF.3d practice problems ordering fractions in context

Intro to Ordering with Common Numerator

3.NF.3d practice problems intro to ordering with common numerator
Fraction bar digital manipulative indicator
3.NF.3d practice problems intro to ordering with common numerator
Fraction bar digital manipulative indicator

Ordering Unit Fractions

3.NF.3d practice problems ordering unit fractions
Fraction bar digital manipulative indicator
3.NF.3d practice problems ordering unit fractions
Fraction bar digital manipulative indicator

Ordering with Common Numerator

3.NF.3d practice problems ordering with common numerator
Fraction bar digital manipulative indicator
3.NF.3d practice problems ordering with common numerator
Fraction bar digital manipulative indicator
3.NF.3d practice problems ordering with common numerator
3.NF.3d practice problems ordering with common numerator
3.NF.3d practice problems ordering with common numerator

Intro to Ordering with Common Denominators

3.NF.3d practice problems intro to ordering with common denominators
Fraction circle digital manipulative indicator
3.NF.3d practice problems intro to ordering with common denominators

Ordering with Common Denominator

3.NF.3d practice problems ordering with common denominator
Fraction bar digital manipulative indicator
3.NF.3d practice problems ordering with common denominator

Review Ordering with Common Denominators

3.NF.3d practice problems review ordering with common denominators
Fraction circle digital manipulative indicator
3.NF.3d practice problems review ordering with common denominators

Review Ordering with Common Numerators

3.NF.3d practice problems review ordering with common numerators
Fraction bar digital manipulative indicator
3.NF.3d practice problems review ordering with common numerators
Fraction bar digital manipulative indicator

Ordering Fractions

3.NF.3d practice problems ordering fractions
3.NF.3d practice problems ordering fractions