Self-Learning Module - Quarter 3 – Mathematics: Grade 7, Modules 1 to 4 and 6 to 8

Learning Material, Self Learning Module  |  ZIP

Published on 2022 August 2nd

Description
1. Mathematics 7- Quarter 3- Module 1: Basic Concepts and Terms in Geometry. 2. Mathematics 7- Quarter 3- Module 2: Angles. 3. Mathematics 7- Quarter 3- Module 3: Parallel Lines Cut by Transversal. 4. Mathematics 7- Quarter 3- Module 4: Geometric Construction: Bisectors, Perpendicular Lines and Parallel Lines. 5. Mathematics 7- Quarter 3- Module 6: Circles. 6. Mathematics 7- Quarter 3- Module 7: Construct Triangles, Squares, Rectangles, Regular Pentagons, and Regular Hexagons. 7. Mathematics 7- Quarter 3- Module 8: Solving Problems Involving Side and Angle of a Polygon.
Objective
1. represent point, line and plane using concrete and pictorial models (M7GE IIIa-1); and
2. illustrate subsets of a line (M7GE-IIIa-2).
3. classify the different kinds of angles; and
4. derive relationships of geometric figures using measurements and by inductive reasoning; supplementary angles, complementary angles, congruent angles, vertical angles, adjacent angles, linear pairs, perpendicular lines, and parallel lines.
5. derive relationships among angles formed by parallel lines cut by a transversal using a measurement and by inductive reasoning.
6. Identify the Euclidean tools.
7. Use a compass and straightedge to bisect line segments and angles and construct perpendiculars and parallels.
8. Copy segments and angles using Euclidean tools.
9. Illustrate a circle and other terms related to it: radius, diameter chord, center, arc, chord, central angle and inscribed angle.
10. Perform polygon constructions such as triangles, squares, rectangles, regular pentagons, and regular hexagons using straightedge and drawing compass.
11. Draw an object that shows the shape of a triangle, square, rectangle, regular pentagon, and regular hexagon.
12. Solve problems involving sides and angle of a polygons.

Curriculum Information

 Education Type K to 12 Grade Level Grade 7 Learning Area Mathematics Content/Topic Geometry Intended Users Educators, Learners Competencies Represents point line and plane using concrete and pictorial models Illustrates subsets of a line Classifies the different kinds of angles Derives relationships of geometric figures using measurements and by inductive reasoning supplementary angles complementary angles congruent angles vertical angles adjacent angles linear pairs perpendicular lines and parallel lines Derives relationships among angles formed by parallel lines cut by a transversal using measurement and by inductive reasoning Uses a compass and straightedge to bisect line segments and angles and construct perpendiculars and parallels Illustrates polygons a convexity b angles and c sides Derives inductively the relationship of exterior and interior angles of a convex polygon Illustrates a circle and the terms related to it radius diameter chord center arc chord central angle and inscribed angle Constructs triangles squares rectangles regular pentagons and regular hexagons Solves problems involving sides and angles of a polygon