• Chapter 3:
    Fractions and Decimals 
  • Overview 

    In this unit, students work with a variety of tools, including folded paper strips, egg cartons, geoboards, number lines, and base ten pieces, to model, read, write, compare, order, compose, and decompose fractions and decimals. Their investigations and explorations range from the purely mathematical—the relationship between fifths and decimals, for example—to applied, as they determine a strategy to figure out how many candy bars the fourth grade teacher will have to buy if she plans to give an undefined number of students three-quarters of a bar each. 

    Skills Across the Grade Levels 

    The table below shows the major skills and concepts addressed in Unit 3. It is meant to provide a quick snapshot of the expectations for students’ learning during this unit, as well as information about how these skills are addressed in Bridges Grade 3, elsewhere in Grade 4 including Number Corner (NC), and also in Grade 5. 

    Major Skills/Concepts Addressed Gr. 3 Unit 3 Gr. 4 Elsewhere Gr. 5 

    4.NF.1 Use a visual model to explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) 

    4.NF.1 Use visual models to generate and recognize equivalent fractions

    4.NF.2 Compare two fractions with different numerators and different denominators, use the symbols >, =, and < to show those comparisons, and explain why one fraction must by greater than or less than another 

    4.NF.3a Explain addition of fractions as joining parts referring to the same whole 

    4.NF.3b Express a fraction as the sum of other fractions with the same denominator in more than one way, and write equations to match 

    4.NF.3c Add and subtract fractions and mixed numbers with like denominators 

    4.NF.3d Solve story problems involving addition or subtraction of fractions referring to the same whole and with like denominators 

    4.NF.4a Demonstrate an understanding that a fraction a/b is a multiple of the unit fraction 1/b; write an equation showing that a fraction a/b is the product of a × 1/ 

    4.NF.4b Multiply a fraction by a whole number; demonstrate an understanding that any multiple of a/b is also a multiple of the unit fraction 1/b 

    4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100 

    4.NF.5 Add a fraction with denominator 10 to a fraction with denominator 100 by rewriting the first fraction as an equivalent fraction with denominator 100 

    4.NF.6 Write fractions with denominators 10 and 100 in decimal notation 

    4.NF.7 Compare two decimal numbers with digits to the hundredths place, use the symbols >, =, and < to show those comparisons, and explain why one decimal number must be greater than or less than another

    *Retrieved on July 21, 2021 from http://bridges.mathlearningcenter.org/