Mathematics Grade 4, Quarter 3, Lesson 11
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Questions and Answers

What is the main topic covered in this Lesson Exemplar?

  • Fractions and Decimals
  • Comparing Fractions
  • Equivalent Fractions
  • Dissimilar Fractions (correct)
  • Who is the writer of this Lesson Exemplar?

  • Aurora B. Gonzales
  • Kimberly Gomez-Mallari (correct)
  • SiMERR National Research Centre
  • Philippine Normal University
  • Which organization is responsible for the validation of this lesson exemplar?

  • SiMERR National Research Centre
  • Bureau of Learning Resources
  • City College of San Fernando Pampanga
  • Philippine Normal University (correct)
  • What is the purpose of this Lesson Exemplar?

    <p>To assist teachers in implementing the MATATAG K to 10 Curriculum (B)</p> Signup and view all the answers

    For which school year is this Lesson Exemplar intended?

    <p>2024-2025 (C)</p> Signup and view all the answers

    Who should use this Lesson Exemplar?

    <p>Teachers (D)</p> Signup and view all the answers

    Where can someone find more information or provide feedback about this Lesson Exemplar?

    <p>Bureau of Learning Resources (B)</p> Signup and view all the answers

    What is the intended grade level for this Lesson Exemplar?

    <p>Grade 4 (A)</p> Signup and view all the answers

    In Model 1, what fraction represents the same amount as 6/12?

    <p>1/2 (D)</p> Signup and view all the answers

    In Model 3, which fraction is equivalent to the fraction shown on the number line?

    <p>3/4 (B)</p> Signup and view all the answers

    In Model 4, how many equal bars are shaded in the fraction model?

    <p>3 (C)</p> Signup and view all the answers

    In Model 2, how many parts are in the whole?

    <p>6 (A)</p> Signup and view all the answers

    Which model does not show a fraction equivalent to 1/2?

    <p>Model 4 (D)</p> Signup and view all the answers

    Based on the content provided, which concept is being addressed in this lesson exemplar?

    <p>Simplifying and finding equivalent fractions. (A)</p> Signup and view all the answers

    Why are the models used in this lesson exemplar helpful for teaching equivalent fractions?

    <p>They represent fractions in a way that students can easily understand and visualize. (D)</p> Signup and view all the answers

    What is the relationship between the fraction models and the number line models in this lesson exemplar?

    <p>Both models show the same concept, but in different ways, helping students to visualize and understand equivalent fractions. (A)</p> Signup and view all the answers

    What is the characteristic of the denominators of equivalent fractions?

    <p>They represent the same size of a whole. (B)</p> Signup and view all the answers

    Why is it important to have models when learning about equivalent fractions?

    <p>Models help visualize the concept of equal parts of a whole. (A)</p> Signup and view all the answers

    What is a key characteristic of equivalent fractions when using models?

    <p>The shaded portions represent the same size of the whole. (D)</p> Signup and view all the answers

    Which of the following scenarios demonstrate equivalent fractions using models?

    <p>Two triangles, one divided into thirds, one into sixths, with the same amount of sections shaded. (A), Two circles, one divided into fourths, one into eighths, with the same number of sections shaded. (C), Two rectangles, one divided into fourths, one into eighths, with the same number of sections shaded. (D)</p> Signup and view all the answers

    In the context of equivalent fractions, why does it matter that the fractions come from the same whole?

    <p>It ensures a consistent standard of measurement for comparisons. (E), It demonstrates that the whole is essential in forming equivalent fractions. (F)</p> Signup and view all the answers

    What is the main benefit of understanding equivalent fractions?

    <p>It allows for easier comparison and ordering of fractions. (D)</p> Signup and view all the answers

    Imagine a pizza divided into 8 slices. You eat 3 slices. Which equivalent fraction represents the amount you ate?

    <p>3/8 (B)</p> Signup and view all the answers

    Which of the following fractions represents an improper fraction?

    <p>5 / 4 (C)</p> Signup and view all the answers

    What kind of fraction is 1 4 / 5 ?

    <p>Mixed Number (C)</p> Signup and view all the answers

    What is the proper fraction equivalent of the mixed number 1 4/5 ?

    <p>9 / 5 (A)</p> Signup and view all the answers

    Which of the following fractions is a proper fraction?

    <p>7 / 8 (D)</p> Signup and view all the answers

    What is the mixed number equivalent of 7/3?

    <p>2 1/3 (D)</p> Signup and view all the answers

    Which of the following fractions cannot be named as a mixed number?

    <p>4 / 6 (C)</p> Signup and view all the answers

    What is the denominator of a proper fraction?

    <p>Always greater than the numerator (B)</p> Signup and view all the answers

    Which fraction represents one whole?

    <p>1/1 (D)</p> Signup and view all the answers

    What is the purpose of 'matching fraction twin cards'?

    <p>To help students visualize equivalent fractions (C)</p> Signup and view all the answers

    When plotting a fraction on a number line, what is the first step?

    <p>Draw a number line and mark the points 0 and 1 (C)</p> Signup and view all the answers

    What does the denominator of a fraction represent when plotting it on a number line?

    <p>The number of equal parts the whole is divided into (D)</p> Signup and view all the answers

    If you are plotting an improper fraction on a number line, what should you do after marking points 0 and 1?

    <p>Mark points beyond 1 to accommodate the value of the improper fraction (B)</p> Signup and view all the answers

    When plotting a fraction on a number line, how do you determine the position of the fraction?

    <p>By counting the number of equal parts from 0 to the right, equivalent to the numerator (B)</p> Signup and view all the answers

    If a fraction card says 'I am 3/4', what would its twin card likely say?

    <p>I am 6/8 (B)</p> Signup and view all the answers

    What does 'explicitation' refer to in the context of teaching fractions?

    <p>The act of making fractions more explicit and understandable to students (C)</p> Signup and view all the answers

    Why is it necessary to divide the number line into equal parts when plotting fractions?

    <p>To accurately represent the size of the parts of the whole (D)</p> Signup and view all the answers

    What fraction of the cake did Kim give to her two friends?

    <p>2/4 (C)</p> Signup and view all the answers

    What fraction of Theon's paper is shaded?

    <p>4/8 (D)</p> Signup and view all the answers

    What fraction of Rapha's vegetable garden will be planted with mongo seeds?

    <p>2/3 (A)</p> Signup and view all the answers

    What fraction of Kelvin's paper is NOT shaded?

    <p>4/6 (B)</p> Signup and view all the answers

    Which of the following sets of fractions are dissimilar fractions?

    <p>1/4, 2/3, 5/6 (A)</p> Signup and view all the answers

    What feature do the fractions 2/4 and 4/8 share, which makes them different from the fractions 1/3 and 2/6?

    <p>They represent the same amount (C)</p> Signup and view all the answers

    What is the relationship between the shaded parts of the fractions 2/4 and 4/8?

    <p>They represent the same amount (B)</p> Signup and view all the answers

    Flashcards

    Dissimilar Fractions

    Fractions with different denominators.

    Equivalent Fractions

    Fractions that represent the same value.

    MATATAG K to 10 Curriculum

    Curriculum structure for basic education in the Philippines.

    Grade 4 Mathematics

    Mathematics concepts taught in the fourth grade.

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    Curriculum Content

    Subjects and topics covered in a curriculum.

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    Lesson Competencies

    Skills and knowledge students should achieve.

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    Standards in Education

    Criteria for educational expectations and outcomes.

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    Educational Materials

    Resources used in teaching and learning.

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    Proper Fraction

    A fraction where the numerator is less than the denominator.

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    Improper Fraction

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

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    Mixed Number

    A whole number combined with a proper fraction.

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    Denominator

    The bottom number of a fraction that shows how many equal parts the whole is divided into.

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    Classifying Fractions

    The process of identifying and naming types of fractions based on their numerators and denominators.

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    Fraction Model

    Visual representation of fractions using shapes or bars to show values.

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    Improper vs Mixed

    Improper fractions can also be expressed as mixed numbers.

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    Naming Fractions

    The act of recognizing and stating what type of fraction is represented.

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    Fraction of Cake Distributed

    The amount of cake each friend receives from Kim's rectangular cake.

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    Shaded Part of Paper

    The fraction that represents shaded areas in Theon's paper folding activity.

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    Garden Planting Fraction

    The part of Rapha's garden used for planting tomato seeds.

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    Kelvin's Shaded Fraction

    The fraction representing the shaded parts of Kelvin's paper folding activity.

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    Equal Parts

    Parts that are identical in size or amount.

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    Fraction Cards Activity

    An activity where students match fraction cards with equivalent values.

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    Number Line Plotting

    A method for placing fractions on a number line according to their value.

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    Marking Proper Fractions

    For proper fractions, mark points only between 0 and 1 on the number line.

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    Mixed Number Marking

    For mixed numbers, mark points beyond 1 on the number line.

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    Denominator in Fractions

    The denominator indicates how many equal parts the whole is divided into.

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    Using Fraction Strips

    Fraction strips visually represent fractions to aid understanding of equivalent fractions.

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    Finding Fraction Twins

    Students find classmates with equivalent fraction cards to form pairs.

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    Fraction Division on Number Line

    Dividing the number line into equal parts based on the denominator of the fraction.

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    Identifying Twin Fractions

    Finding fractions that have the same value or size.

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    Properties of Denominators

    Denominators of fractions indicate how many parts the whole is divided into.

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    Properties of Numerators

    Numerators indicate how many parts are being considered from the whole.

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    Equivalent Fractions Concept

    Fractions that represent the same value despite having different numerators and denominators.

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    Visual Representation of Fractions

    Using diagrams or physical models to demonstrate fractions visually.

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    Equal Shaded Parts

    When shaded areas of fractions represent equal sizes or values.

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    Fraction Equivalence Examples

    Different fractions that represent the same amount, like 1/2 and 2/4.

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    Conceptual Understanding of Fractions

    The ability to grasp ideas around fractions, including equivalence and representation.

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    Fraction Disk Model

    Visual representation using disks to illustrate fractions.

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    Fraction Strip Model

    Visual representation using strips to illustrate fractions.

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    Number Line Model

    A line illustrating number positions, including fractions.

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    Graphic Organizer

    A visual tool for summarizing learning and understanding concepts.

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    Learners’ Takeaways

    Key points or lessons students remember after learning.

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    Fair Sharing

    Dividing something equally to promote fairness and equality.

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    Equivalent Fractions in Fairness

    Understanding that different fractions can represent equal amounts.

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    Diversity in Fractions

    Recognizing that fractions can be different but still fair.

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    Study Notes

    Lesson Exemplar for Mathematics Grade 4, Quarter 3, Lesson 11

    • Curriculum Content, Standards, and Lesson Competencies:
      • Content Standards: Learners will understand dissimilar and equivalent fractions.
      • Performance Standards: Learners will represent, compare, and order dissimilar fractions by the end of the quarter.
      • Learning Competencies and Objectives:
        • Represent dissimilar fractions (denominators up to 10) using models.
        • Generate equivalent fractions using models (e.g., fraction strips, bars, disks).
        • Model equivalent fractions using models.
      • Integration: The lesson integrates fairness, equality, and diversity.

    Learning Resources

    Teaching and Learning Procedure (Day 1)

    • Activating Prior Knowledge: Review identifying different kinds of fractions using visual representations.
    • Short Review: Pupils name and identify fraction types (proper, improper, mixed/whole). Tables (Table 1) guide classification. Pupils individually classify fractions.
      • A sample table structure (Proper, Improper, Mixed/Whole Numbers): Fraction Model | Fraction | Kind of Fraction (Proper, Improper, Mixed)
    • Instructional Activities: Possible individual work or group activities using visual aids and classifying fractions based on visual characteristics or components.

    Teaching and Learning Procedure (Day 2)

    • Lesson Activity: Pupils present and explain answers to the class.
    • Explanation: Teacher guides pupils to present their identified fraction models. Use fraction strips/bars, fraction disks/circles, and number lines as models.

    Teaching and Learning Procedure (Day 3)

    • Lesson Purpose: Questions for pupils following the activity in Table 2:
      • What do you notice about the denominators of the given fractions in Table 2?
      • What do you notice about the kinds of fractions within a set of fractions (proper, improper, mixed)?
    • Unlocking Content Area Vocabulary: Reinforce terms: "similar fractions" (common denominator), "dissimilar fractions" (different denominators), proper, improper and mixed/whole.
    • Explicitation: Tasks using paper folding and coloring to model fraction problems with examples given as guides.

    Teaching and Learning Procedure (Day 4)

    • Use visual models (fraction strips/bars, circles) to show examples of dissimilar fractions, and then equivalent fractions.
    • Pupils are asked to demonstrate each set of dissimilar fractions using a number line, fraction strips, or circles.

    Teaching and Learning Procedure (Day 5)

    • Formative Assessment: Pupils use models to classify fractions as equivalent or not equivalent giving examples for each step. Include visuals in the response.

    Making Generalizations

    • Learners' Takeaways: Pupils complete a graphic organizer reflecting their learning.
    • Reflection:
      • How are dissimilar/equivalent fractions useful in daily life?
      • How are fairness, equality and diversity reflected in the activity of the lesson?

    Evaluating Learning (Formative Assessment)

    • Draw/Model fractions: Pupils draw/model fractions and identify equivalent/non-equivalent fractions. Visual representations are required.

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    Description

    Explore the concepts of dissimilar and equivalent fractions in this interactive quiz designed for Grade 4 students. By the end of the lesson, learners will be able to represent, compare, and order dissimilar fractions using various modeling techniques. Engaging resources support understanding of fractions on number lines, enhancing learning outcomes.

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