Learning Module: Mathematics (Grade 10 - Quarter 2)

Lesson 1 – Chords, Arcs, and Angles, Secants, Tangents, Segments and Sectors

• Derives inductively the relations among chords, arcs, central angles, and inscribed angles.  
• Proves theorems related to chords, arcs, central angles, and inscribed angles.  
• Illustrates secants, tangents, segments, and sectors of a circle.  
• Proves theorems on secants, tangents, and segments.  
• Solves problems on circles.

Lesson 2 – Distance Formula

• Derives the distance formula
• Applies the distance formula to prove some geometric properties
• Graphs other geometric figures on the coordinate plane
• Solves problems involving geometric figures on the coordinate plane

Lesson 3 – Equation of a Circle 

• Illustrates the center-radius form of the equation of a circle.      
• Determines the center and radius of a circle given its equation and vice versa.      
• Graphs a circle and other geometric figures on the coordinate plane.