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    Lesson 4: Deriving Inductively The Relations Among Chords, Arcs, Central Angles, and Inscribed Angles

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    Eden Mae Sagadraca Tabliago
    This document outlines 14 lessons on topics related to circles such as chords, arcs, angles, secants, and tangents. It includes deriving properties, proving theorems, illustrating concepts, solving problems, deriving the distance formula, applying the distance formula to prove properties, determining the center and radius of a circle given its equation, and graphing circles and other figures on a coordinate plane. Each lesson contains example problems and activities for students to complete.

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    Lesson 4: Deriving Inductively The Relations Among Chords, Arcs, Central Angles, and Inscribed Angles

    Uploaded by

    Eden Mae Sagadraca Tabliago
    60 views84 pages
    This document outlines 14 lessons on topics related to circles such as chords, arcs, angles, secants, and tangents. It includes deriving properties, proving theorems, illustrating concepts, solving problems, deriving the distance formula, applying the distance formula to prove properties, determining the center and radius of a circle given its equation, and graphing circles and other figures on a coordinate plane. Each lesson contains example problems and activities for students to complete.

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    Original Title

    Circles(1)

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    This document outlines 14 lessons on topics related to circles such as chords, arcs, angles, secants, and tangents. It includes deriving properties, proving theorems, illustrating concepts, solving problems, deriving the distance formula, applying the distance formula to prove properties, determining the center and radius of a circle given its equation, and graphing circles and other figures on a coordinate plane. Each lesson contains example problems and activities for students to complete.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    60 views84 pages

    Lesson 4: Deriving Inductively The Relations Among Chords, Arcs, Central Angles, and Inscribed Angles

    Uploaded by

    Eden Mae Sagadraca Tabliago
    This document outlines 14 lessons on topics related to circles such as chords, arcs, angles, secants, and tangents. It includes deriving properties, proving theorems, illustrating concepts, solving problems, deriving the distance formula, applying the distance formula to prove properties, determining the center and radius of a circle given its equation, and graphing circles and other figures on a coordinate plane. Each lesson contains example problems and activities for students to complete.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 84

    LESSON 4

    Deriving Inductively the Relations among Chords, Arcs,


    Central Angles, and Inscribed Angles

    1
    2
    3
    4
    5
    6
    7
    8
    9
    LESSON 5

    PROVING THEOREMS RELATED TO CHORDS, ARCS,


    CENTRAL ANGLES, AND INSCRIBED ANGLES

    10
    11
    12
    13
    14
    15
    16
    17
    18
    19
    LESSON 6

    ILLUSTRATING SECANTS, TANGENTS, SEGMENTS,


    AND SECTORS OF A CIRCLE

    20
    21
    22
    23
    24
    25
    LESSON 7

    PROVING THEOREMS ON SECANTS, TANGENTS, AND


    SEGMENTS

    26
    27
    28
    29
    30
    31
    32
    33
    34
    35
    LESSON 8

    SOLVING PROBLEMS ON CIRCLES

    36
    37
    38
    39
    40
    41
    LESSON 9

    DERIVING THE DISTANCE FORMULA

    42
    43
    44
    45
    46
    ACTIVITY 9
    1.

    2.

    47
    3.

    4.

    48
    5.

    49
    LESSON 10

    APPLYING THE DISTANCE FORMULA TO PROVE SOME


    GEOMETRIC PROPERTIES

    50
    51
    52
    53
    54
    55
    LESSON 11

    ILLUSTRATING THE CENTER-RADIUS FORM OF THE


    EQUATION OF A CIRCLE

    56
    57
    58
    59
    60
    LESSON 12

    DETERMINING THE CENTER AND RADIUS OF A


    CIRCLE GIVEN ITS EQUATION

    61
    62
    63
    64
    65
    66
    LESSON 13

    1.
    GRAPHING A CIRCLE AND OTHER GEOMETRIC
    FIGURES ON THE COORDINATE PLANE

    67
    68
    69
    70
    71
    72
    73
    ACTIVITY 13

    1.

    2.

    74
    3.

    4.

    75
    5.

    76
    LESSON 14

    SOLVING PROBLEMS INVOLVING GEOMETRIC


    FIGURES ON THE COORDINATE PLANE

    77
    78
    79
    80
    81
    ACTIVITY 14

    1.

    2.

    82
    3.

    4.

    83
    5.

    84

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