Unit 4 Comparing Fractions and Understanding Decimal Notation

In Unit 4 students will:

  • 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 recognize and generate equivalent fractions.
  • Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
  •  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 refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
  • Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. 4  For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
  • Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

By the end of Unit 4 your child should be able to answer the following questions:

  • What are equivalent fractions?
  • How can I order and compare fractions?
  • How can I add or subtract fractions?
  • What is a decimal?

The following videos explain some of the topics covered in Unit 4.

  •  Fractions of a Set

  • Equivalent Fractions

  • Adding/Subtracting Fractions with Like Denominators

  • Understanding and Explaining Equivalent Fractions Using Visual Models—

  •  Finding Equivalent Fractions

  • Comparing Fractions With Like Denominators or Like Numerators

  • Compare Fractions with the Same Numerator Using the Greater Than and Less Than Symbols

To view the following LearnZillion Videos you will need to become a member. It is FREE to join and being a member allows you access to a large collection of LearnZillion videos.

  • To visit LearnZillion and learn how to Describe a Fraction as an Equal Share of a Whole
  • To visit LearnZillion and learn  how to Compare Fractions with Different Denominators Using Number Lines
  • To visit Learn Zillion and learn how to Convert Decimals to Fractions to the Tenths Place Using Number Lines
  • To visit LearnZillion and learn how to Compare Two Decimal Dollar Amounts Using Coin Values.