Mathematics Grade 4 - Fractions and Mixed Numbers
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Questions and Answers

Which figure or diagram represents the fraction 3/4?

  • A line segment divided into 4 parts with 3 parts shaded
  • A circle divided into 3 parts with 4 parts shaded
  • A circle divided into 4 parts with 3 parts shaded (correct)
  • What part of the pizza was left if Father served 3/8 of the pizza to his family?

    5/8

    What is the term used for the number below the fraction line?

  • Mixed number
  • Fraction
  • Numerator
  • Denominator (correct)
  • Which type of fraction has a numerator smaller than the denominator?

    <p>Proper fraction</p> Signup and view all the answers

    Which of these options represent the relationship between the numerator and denominator in an improper fraction?

    <p>The numerator is greater than or equal to the denominator.</p> Signup and view all the answers

    What kind of fraction is formed by combining a whole number and a proper fraction?

    <p>Mixed number</p> Signup and view all the answers

    Fractions can be represented on a number line.

    <p>True</p> Signup and view all the answers

    What is the first step in representing a fraction on a number line?

    <p>Draw a horizontal line.</p> Signup and view all the answers

    How many equal parts do you divide the distance between 0 and 1 on a number line if you are representing the fraction 1/5?

    <p>5</p> Signup and view all the answers

    To change an improper fraction to a mixed number, divide the ______ by the denominator.

    <p>numerator</p> Signup and view all the answers

    To change a mixed number to an improper fraction, multiply the denominator and the ______, then add the product to the numerator.

    <p>whole number</p> Signup and view all the answers

    Match the following fractions with their corresponding types:

    <p>2/3 = Proper fraction 5/4 = Improper fraction 2 1/2 = Mixed number</p> Signup and view all the answers

    What is the improper fraction equivalent to the mixed number 3 2/5?

    <p>17/5</p> Signup and view all the answers

    When representing a fraction on a number line, what does the distance between consecutive markings indicate?

    <p>The denominator</p> Signup and view all the answers

    It is essential to understand the concept of fractions in everyday life.

    <p>True</p> Signup and view all the answers

    Study Notes

    Mathematics Lesson Exemplar - Grade 4, Quarter 2, Lesson 7

    • Curriculum Content, Standards, and Lesson Competencies:
      • Content Standard: Addition and subtraction of similar fractions, including mixed numbers.
      • Performance Standard: Perform addition and subtraction of similar fractions, including mixed numbers.
      • Learning Competencies & Objectives:
        • Determine basic fraction concepts.
        • Differentiate proper fractions, improper fractions, and mixed numbers.
        • Identify fractions as proper, improper, or mixed.
        • Change improper fractions to mixed numbers and vice versa.
        • Plot fractions (denominators 2, 4, 5, and 10) on a number line.
      • Content: Fractions (basic concepts, kinds of fractions, fractions on a number line, changing improper fractions to mixed numbers).
      • Integration: Values of sharing and fairness

    Learning Resources

    • CUEMATH: Resource for fractions on the number line
    • Phoenix Math for the 21st Century Learners: Resource for mathematics
    • The World of Mathematics and Beyond: Resource for mathematics
    • Our World of Math: Resource for mathematics

    Teaching and Learning Procedure (Day 1)

    • Short Review: Review fraction figures (visuals).
    • Establishing Lesson Purpose:
      • Use a pizza example to introduce the lesson.
      • Unlocking Content Area Vocabulary (fraction, numerator, denominator).

    Developing and Deepening Understanding (Day 1, continued)

    • Sub-Topic 1: Kinds of Fractions
      • Numerator and Denominator: Defined in relation to equal parts.
    • Proper and Improper Fractions: Explaining how to compare numerator and denominator to classify fractions.

    Teaching and Learning Procedure (Day 2)

    • Sub-topic 2: Fractions on Number Line:
      • Defining and representing fractions (e.g., 1/2, 3/4) on a number line.
      • Visual aids (number line) are used.

    Teaching and Learning Procedure (Day 3 & 4)

    • Sub-topic 3: Changing Improper Fractions to Mixed Numbers and vice versa:
      • Concept of improper and mixed numbers introduced.
      • Solving examples with worked examples.
      • Converting between improper and mixed numbers is taught
      • Practical application example of flour cups, etc.
        • Example, convert 7/2 to mixed number

    Lesson Activities (Day 3 &4)

    • Identify fractions as proper, improper, or mixed.
    • Plotting fractions on a number line.
    • Converting fractions to mixed numbers and vice versa.

    Learners' Takeaways

    • Definition of fraction.
    • Basic terms in fractions: numerator, denominator
    • Various kinds of fractions
    • Plotting fractions on a number line.
    • Changing improper fractions to mixed numbers and vice versa

    Evaluation Learning (Day 5)

    • Formative Assessment (Identifying fractions, plotting on a number line, conversions).

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    Description

    This quiz covers the addition and subtraction of similar fractions, focusing on mixed numbers and proper fractions. It aims to assess understanding of basic fraction concepts and their identification, as well as plotting fractions on a number line. Ideal for students in Grade 4 during Quarter 2.

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