Chapter 8 circle
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LEARNING AREA/WEEKS LEARNING OBJECTIVES LEARNING OUTCOME TEACHING AND LEARNING ACTIVITIES STRATEGIES 8. Circle III (3 weeks) 8.1 understand and use the concept of tangents to a circle. i) identify tangents to a circle; ii) make inference that the tangent to a circle is a straight line perpendicular to the radius that passes through the contact point; iii) construct the tangent to a circle passing through a point: a) on the circumference of the circle; b) outside the circle; iv) determine the properties related Develop concepts and abilities through activities using technology such as the Geometer’s Sketchpad and graphing calculator. Vocabulary: -Tangent to a circle -Circle - Perpendicul ar -Radius - Circumferen ce -Semi circle -Congruent CCTS: -Making inference -Drawing diagram Moral Values: -Diligence -Cooperation -Courage
Transcript of Chapter 8 circle
LEARNING AREA/WEEKS
LEARNING OBJECTIVES
LEARNING OUTCOME TEACHING AND LEARNING ACTIVITIES
STRATEGIES
8. Circle III
(3 weeks)
8.1 understand and use the concept of tangents to a circle.
i) identify tangents to a circle;
ii) make inference that the tangent to a circle is a straight line perpendicular to the radius that passes through the contact point;
iii) construct the tangent to a circle passing through a point:
a) on the circumference of the circle;
b) outside the circle;
iv) determine the properties related to two tangents to a circle from a given point outside the circle;
v) solve problems involving tangents to a circle.
Develop concepts and abilities through activities using technology such as the Geometer’s Sketchpad and graphing calculator.
Vocabulary:-Tangent to a
circle-Circle-Perpendicular-Radius-Circumference-Semi circle-Congruent
CCTS:-Making
inference-Drawing
diagram
Moral Values:-Diligence-Cooperation-Courage
Teaching Aids:-Compass-Geometry set-GSP
LEARNING AREA/WEEKS
LEARNING OBJECTIVES
LEARNING OUTCOME TEACHING AND LEARNING ACTIVITIES
STRATEGIES
8. Circle III 8.2 understand and use the properties of angle between tangent and chord to solve problems
i) identify the angle in the alternate segment which is subtended by the chord through the contact point of the tangent;
ii) verify the relationship between the angle formed by the tangent and the chord with the angle in the alternate segment which is subtended by the chord;
iii) perform calculations involving the angle in alternate segment;
iv) solve problems involving tangent to a circle and angle in alternate segment.
Explore the property of angle in alternate segment using Geometer’s Sketchpad or other teaching aids.
Vocabulary:ChordsAlternate segmentMajor sectorSubtended
CCTS:Identifying informationJustify relationshipsProblem solving
Moral Values:DiligenceCooperationCourage
Teaching Aids:GSPGRAPHMATICA
LEARNING AREA/WEEKS
LEARNING OBJECTIVES
LEARNING OUTCOME TEACHING AND LEARNING ACTIVITIES
STRATEGIES
8. Circle III 8.3 Properties of common tangents understand and use the properties of common tangents to solve problems
i) determine the number of common tangents which can be drawn to two circles which;a) intersect at two points;
b) intersect only at one point;
c) do not intersect;
ii) determine the properties
related to two circles which;
a) intersect at two points;
b) intersect only at one point;
c) do not intersect;
iii) solve problems involving common tangents to two circles;
iv) solve problems involving tangents and common tangents.
Discuss the maximum number of common tangents for the three cases.
Include daily situations.
Vocabulary:-Common tangent
CCTS:-Identifying information-Justify relationships-Problem solving
Moral Values:-Diligence-Cooperation-Courage
Teaching.Aids:-GSP-Gramatica
