Objectives Covered:
NC.4.NF.1: Explain why a fraction is equivalent to another fraction by using area and length fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size.
NC.4.NF.2: Compare two fractions with different numerators and different denominators, using the denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions by:
• Reasoning about their size and using area and length models.
• Using benchmark fractions 0, ½, and a whole.
• Comparing common numerator or common denominators.
• Build fractions from unit fractions by applying and extending previous understanding
Cluster 5 Parent Letter: English
Cluster 5 Parent Letter: Spanish
Equivalent Fractions: Equivalent fractions are fractions that have different numerators and denominators but represent the same amounts. You can find equivalent fractions using many strategies:
Models (Fraction Bars, Splitting or Grouping)
Number Lines
Multiply/Divide Numerator and Denominator by same number
Can PROVE if fractions are equivalent using "Butterfly Method"
Comparing Fractions: We are comparing fractions with different numerators and denominators. You can compare fractions using many strategies:
Models (the one that is more shaded is larger)
Number Lines (the one further from 0 is larger)
Benchmarks (estimate the size of fractions based on if they are larger/smaller than 0, 1/2 or 1)
Find Common Denominator (make equivalent fractions with same denominator)
"Butterfly Method"