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 (A)</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. (C)</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 (C)</p> Signup and view all the answers

Fractions can be represented on a number line.

<p>True (A)</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 (A)</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 (B)</p> Signup and view all the answers

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

<p>True (A)</p> Signup and view all the answers

Flashcards

Proper Fraction

A fraction where the numerator is smaller than the denominator.

Improper Fraction

A fraction where the numerator is greater than or equal to the denominator.

Mixed Number

A combination of a whole number and a proper fraction.

Fraction

A part of a whole, represented by a numerator and a denominator separated by a fraction bar.

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Numerator

The number above the fraction bar; represents the number of parts taken.

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Denominator

The number below the fraction bar; represents the total number of equal parts the whole is divided into.

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Fraction on a number line

Representing a fraction's position on a number line, showing its value relative to other numbers.

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Changing improper fractions to mixed

Converting an improper fraction to a whole number and a fraction part.

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Changing mixed numbers to improper

Converting a whole number and a fraction to a single fraction with a numerator larger than or equal to the denominator.

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Plotting fractions on the number line

Locating a given fraction at its correct position on the number line, using equal segments.

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Fractions concepts

Fractions are parts of a whole, and represent amounts divided into equal sections.

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Fractions comparison

Comparing fractions using their numeric values and/or position on the number line.

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Fraction Types

Proper, improper, and mixed fractions represent different quantities and magnitudes.

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equivalent fractions

Fractions that represent the same portion of a whole.

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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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