Questions and Answers
What is a polygon?
A polygon is a closed-plane figure bounded by line segments that meet only at their endpoints.
Which of the following are types of polygons? (Select all that apply)
A regular polygon is one that is both _____ and _____ .
equilateral, equiangular
How many sides does a hexagon have?
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All interior angles of a square are equal to 90 degrees.
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The sum of the interior angles of a decagon is _____ degrees.
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What tools are suggested for drawing polygons?
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Match the following polygons with their properties:
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What do you call a polygon with 6 sides?
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What is the sum of the interior angles of an octagon?
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What is a polygon called if all its sides and angles are equal?
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What is the measure of each interior angle of a regular hexagon?
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What do you call a polygon with 8 sides?
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What do you call a polygon with 5 sides?
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What is a quadrilateral called if all sides and angles are equal?
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What do you call a polygon with 7 sides?
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__________ are polygons that have non-congruent sides.
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__________ is an eight-sided polygon with unequal sides.
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__________ is a three-sided polygon with equal sides.
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If side BC = 10 cm, how long is side AE?
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What is the measure of ∠CBA?
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What is the sum of the measures of ∠CBA and ∠CDE?
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What is the sum of the interior angles of the regular pentagon ABCDE?
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Study Notes
Curriculum Overview
- Curriculum designed for Mathematics, Grade 7, Quarter 1, School Year 2024-2025.
- Intended for teachers implementing the MATATAG K to 10 Curriculum.
- Strictly prohibits unauthorized reproduction and distribution of material.
Key Competencies
- Demonstrate knowledge of regular and irregular polygons and their properties.
- Determine measures of angles and the number of sides of polygons.
Learning Objectives
- Define a polygon.
- Classify polygons based on sides and regularity (regular vs. irregular).
- Name, describe, and compare polygons (triangles, quadrilaterals, and polygons with 5, 6, 8, or 10 sides).
- Draw specified polygons using rulers, protractors, and compasses.
Content Focus
- Properties of Regular vs. Irregular Polygons.
- Integration of subject matter with paintings, artwork, and signboards.
Vocabulary
- Polygon: Closed-plane figure made up of line segments intersecting only at endpoints.
- Regular Polygon: Equilateral (all sides equal) and equiangular (all angles equal).
- Irregular Polygon: Sides and angles are not equal.
Teaching Procedures
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Activating Prior Knowledge:
- Review naming polygons with a game format.
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Lesson Purpose:
- Understand definitions and identification of polygons.
- Explore properties and practice drawing various polygons.
Development Activities
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Sub-Topic: Define Polygon:
- Engage learners by asking questions about polygonal characteristics.
- Use examples to clarify the definition of polygons.
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Sub-Topic: Naming Polygons:
- Introduce naming conventions based on the number of sides (e.g., triangle, quadrilateral, pentagon).
- Incorporate a table for learners to fill in the number of sides and angles of different polygons.
Polygon Characteristics
- Triangle: 3 sides, 3 angles.
- Quadrilateral: 4 sides, 4 angles.
- Pentagon: 5 sides, 5 angles.
- Hexagon: 6 sides, 6 angles.
- Additional polygons include heptagon, octagon, nonagon, and decagon.
Regular vs. Irregular Polygons
- Regular Polygons: All sides and angles are equal.
- Irregular Polygons: Not all sides or angles are equal.
- Discuss classic examples like squares (regular) and other irregular shapes.
Lesson Activities
- Engage students with practical drawing assignments to illustrate different polygons.
- Utilize technological resources (e.g., Geogebra) for constructing polygons with precise measurements.
Assessment
- Formative evaluations through identification, creation, and description of polygons.
- Encourage group collaboration and leadership during hands-on activities.
Closing Notes
- Emphasize the essential characteristics of polygons for student understanding.
- Reinforce learning through varied activities that encourage both individual and collective participation.### Drawing Polygons
- A decagon is a ten-sided polygon; each internal angle measures 144°.
- Use a ruler to measure side lengths in centimeters, drawn with lengths equal to 1 cm each in the decagon.
- A regular polygon has equal side lengths and angles.
Measuring Interior Angles
- Use a protractor to measure the interior angles of various polygons.
- The sum of the interior angles for a polygon can be calculated using the formula: (n-2) * 180°, where n is the number of sides.
Quiz Bee: Polygon Quiz
- Recognition of polygons by number of sides:
- Hexagon has 6 sides.
- Pentagon has 5 sides.
- Octagon has 8 sides.
- Decagon has 10 sides.
- Heptagon has 7 sides.
- Sum of interior angles for octagons is 1080°.
Drawing Activities
- Draw regular pentagon, hexagon, octagon, and decagon using a ruler, protractor, and compass.
- Steps for drawing:
- Create a circle corresponding to desired side length.
- Divide circle into equal parts using angle measurements (e.g., 72° for pentagon, 60° for hexagon).
- Connect points to form each polygon.
- Example side lengths:
- Pentagon: 2 cm each.
- Hexagon and Octagon: 3 cm each.
- Decagon: 3 cm each.
Understanding Relationships in Polygons
- Explore relationships between the number of sides and interior angles.
- Record findings in a table to identify patterns.
Drawing Triangles and Quadrilaterals
- Practicing construction of various polygons and reflecting on challenges faced during the process.
- Discuss real-life applications of geometric constructions.
Evaluating Learning
- Utilize formative assessments to evaluate understanding of polygon concepts.
- Encourage completion of fill-in-the-blank statements related to polygon properties.
Teacher's Reflection
- Reflect on teaching strategies, student engagement, and areas for improvement based on observed outcomes during polygon activities.
- Document effective practices and challenges encountered during lesson implementations.
General Takeaways
- Understanding polygon construction is useful in real life.
- Establish accurate measuring techniques to enhance geometry skills.
- Encourage student participation and leadership in group activities.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of polygons with this quiz covering definitions, types, and properties. Answer questions about the characteristics and angles of various polygons, including regular polygons and specific examples like hexagons and decagons.
