Unit 8 Reasoning about Fraction Comparisons and Equivalence

In Unit 8 students will:

  • Explain equivalence of fractions in special cases and compare fractions by reasoning about their size.
    • Understand two fractions as equivalent (equal) if they are the same size or the same point on a number line.
    • Recognize and generate simple equivalent fractions, e.g. ½ = 2/4,  4/6 = 2/3).  Explain why the fractions are equivalent, e.g., by using a visual fraction  model.
    • 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.
    • 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 the comparisons  with the symbols <, >, or = and justify the conclusions, e.g., by using a visual  fraction model.
  •  Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as ¼ of the area of the shape.

By the end of Unit 8 your child should be able to answer the following questions:

  • How do equivalent fractions help me to compare fractions?
  • How does partitioning shapes help me to understand unit fractions as a part of the shape's area?

The following videos help to explain some of the topics covered in Unit 8:

  • Equivelant Fractions with Fraction Strips

  •  Fractions on a Number Line

  • Equivalent Fractions on a Number Line

  • Recognize Equivalent Fractions

  • Comparing Fractions with the Same Numerator or Same Denominator