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MATH-7-Q1W2-LESSON EXEMPLAR BASED PRESENTATION
- 1. Mathematics 7 Week 2 –Lesson 2
- 2. CONTENT STANDAR DS The learners demonstrateknowledge and understanding of: 1. regular and irregular polygons and their features/properties; and 2. determination of measures of angles and the number of sides of polygons.
- 3. LEARNING COMPETENC IES The learners areable to: 1. classify regular or irregular polygons whether they are convex or nonconvex; and 2. describe and explain the relationships between angle pairs based on their measures.
- 4. WORLD OF POLYGONS Match thename of polygon in column A with its corresponding number of sides in Column B. Column A Column B
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- 6. CONVEX POLYGON A convex polygonis a polygon where all interior angles are less than 180 degrees, and no vertices point inward. In other words, a line segment drawn between any two points in the polygon will always lie inside or on the boundary of the polygon.
- 7. CONCAVE POLYGON A non-convex orconcave polygon is a polygon that has at least one interior angle greater than 180 degrees. This type of polygon has at least one vertex that points inward, and a line segment drawn between some points within the polygon may pass outside it.
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- 16. a. Complementary anglesare two angles whose measures add up to 90 degrees. For example, if one angle measures 30 degrees, the other angle must measure 60 degrees to be complementary. b. Supplementary angles are two angles whose measures add up to 180 degrees. For instance, if one angle measures 110 degrees, the other must measure 70 degrees to be supplementary.
- 17. c. Adjacent anglesare two angles that share a common side and a common vertex, and do not overlap. They are next to each other. d. A linear pair is a pair of adjacent angles formed when two lines intersect.The angles in a linear pair add up to 180 degrees. e. Vertical angles are the pairs of opposite angles made by two intersecting lines. These angles are always equal to each other.
- 18. Students will needprotractor in measuring the interior angles A and B. Every group has the same question. Write your answer on a separate sheet of paper. 1. Using a protractor, measure each angle A and B. Record your measure. 2. What is the sum of the measures of angles A and B in figure1 and in figure2. 3. Are the angles complementary? Supplementary? Equal? 4. Do the angles have a common side? Activity 2: Angle Pairs
- 22. Activity 3: “CanYou Pair my angle?” Use figure 1 in answering the following questions: 1. Name a pair of adjacent angles. 2. Name a pair of angles that form a linear pair. 3. Name a pair of angles that vertical. 4. If m ∠ NSA = 75 °, what is the measure of m ∠NSG? 5. If m ∠ GSL = 57 °, what is the measure of m ∠ASN?
- 23. What are some examplesof angle pairs that you can identify in your surroundings, and how do they relate to each other in terms of their measures?
- 24. What aspect of anglepairs would you like to explore further?
- 25. I. Identify eachpair of angles as adjacent, vertical, complementary, supplementary, and/or as a linear pair. EVALUATION:
- 26. II. Classify eachfigure as a convex polygon, a non- convex, regular polygon or irregular polygon. EVALUATION:
- 27. III. Multiple Choice: 1.Which of the following pairs of angles add up to 90°? A) Supplementary angles B) Complementary angles C) Adjacent angles D) Vertical angles EVALUATION:
- 28. 2. What typeof angles are formed when two lines intersect and share a common vertex but do not overlap? A) Supplementary angles B) Complementary angles C) Adjacent angles D) Linear pair EVALUATION:
- 29. 3. In alinear pair, the angles add up to: A) 90 B) 180 C) 270 D) 360 ∘ ∘ ∘ ∘ 4. Convex and Non-Convex Polygons: Which of the following best describes a convex polygon? A) It has at least one interior angle greater than 180 180 . ∘ ∘ B) All of its interior angles are less than 180 180 . ∘ ∘ C) It has at least one vertex pointed inward. D) It has at least one pair of opposite angles equal to each other. EVALUATION:
- 30. 5. What distinguishesa non-convex (concave) polygon from a convex polygon? A) It has all angles less than 90∘ B) It has all angles greater than 180∘ C) It has at least one interior angle greater than 180∘ D) It has all sides of equal length.. EVALUATION:
- 31. 1. ADJACENT 2. COMPLEMENTARY 3.VERTICAL 4. LINEAR / SUPPLEMENTARY 5. COMPLEMENTARY ANSWERS:
- 32. 1. CONVEX 2. NON-CONVEX(CONCAVE) 3. NON-CONVEX (CONCAVE) 4. NON-CONVEX (CONCAVE) 5. NON-CONVEX (CONCAVE) ANSWERS:
- 33. 1. B (COMPLEMENTARYANGLES) 2. C (ADJACENT ANGLES) 3. B (180 DEGREES) 4. B (ALL ITS INTERIOR ANGLES ARE LESS THAN 180 DEGREES.) 5. C (IT HAS AT LEASTONE INTERIOR ANGLE GREATER THAN 180 DEGREE.) ANSWERS:
- 34. Problem: Given a rectanglewith length of 15 feet and width of 9 feet, draw and label its dimensions. Determine the perimeter and area of the rectangle. Is rectangle a regular polygon or irregular polygon? Why? ASSIGNMEN T:
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