Chapter 6

Fractions & Mixed Numbers

4th Grade: Chapter 6 Outline

Week 12- Week 14

Essential Questions:

  • How can I use fractions to name parts of wholes, wholes, and mixed numbers?
  • How can I add/subtract fractions and mixed numbers?
  • How can I solve real world problems involving fractions?
  • How can I find a fraction of a set or number?
  • How can I solve fractions of a set/number word problems?
  • How can I use a model to help me determine the model of a set?

Content:

Students will know and understand:

    • Numerator
    • Denominator
    • Equivalent Fraction
    • Simplest form
    • Mixed number
    • Improper fractions
    • Like/unlike fractions
    • Fractions of a set

Skills:

Students Will:

    • Find equivalent fractions.
    • Write and draw models to represent mixed numbers and improper fractions.
    • Express mixed numbers as improper fractions.
    • Add and subtract like/unlike fractions and mixed numbers.
    • Solve real-world problems involving fractions.
    • Use a bar model to represent a fraction of a set.
    • Find a fractional part of a number.
    • Multiply a fraction of a whole number.
    • Solve word problems involving multiplication of a problem.

Assessment

Chapter 6 Assessment: Fractions & Mixed Numbers

Formative Test: Common

Upon completion of Unit 6:

  • 4.NF.A.1. 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.
  • 4.NF.A.2. 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.
  • 4.NF.B.4a. Understand a fraction a/b as a multiple of 1/b.
  • 4.NF.B.4b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.
  • 4.NF.B.4c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.
  • 4.MD.A.1. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
  • MP.2. Reason abstractly and quantitatively.
  • MP.3. Construct viable arguments and critique the reasoning of others.
  • MP.6. Attend to precision.