Download Lesson Plan 5.7

Date 11/13/03
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Period 6th period
Student Objectives/AKS
 To apply the Angle-Angle-Side Congruence Theorem (AAS)
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Daily Lesson Plan (lesson 5.7)
Course Informal Geometry
(AKS) to use transformational geometry to show congruency and
similarity (QCC 2003 – 20)
(AKS) to classify triangles and polygons (QCC 2003 – 24)
(AKS) to apply properties of logic (QCC 2003 – 27)
Opening Activity/Purpose
(to involve all students, purpose could be to find readiness for objective)
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Draw two triangles on the board and label two angles and a nonincluded side congruent. Ask the students if they know of a postulate
that works to show the two triangles are congruent. Then, show the
students how they can get the third angle in each triangle since the
angles of a triangle add up to 180 degrees. Next, explain to the
students how the triangles are congruent by Side-Angle-Side
Congruence. This will lead into a formal introduction of the AngleAngle-Side (AAS) Congruence Theorem.
Developmental Activities:
(cues, reinforcement, practice, feedback, involvement)
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Students will practice learning how to recognize AAS Congruence for
triangles. Students will be introduced to the proof of this theorem
and why it works. They will become aware of how the AAS Congruence
Theorem is very closely related to the ASA Congruence Postulate.
Students will be assisted by co-teachers working through some of the
examples in the section to become more exposed to using the AAS
Congruence Theorem.
Students will be asked to independently work selected problems from
the text after the lesson has been taught to reinforce today’s lesson.
Closing Activity:
(to involve all students and to identify student’s success with daily objectives)
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Students will be given an end-of-section worksheet and be asked to
work on problems 1-4 of the Extra Practice side.
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Assignment/Purpose
 Students will be asked to finish the assigned worksheet problems for
homework and bring it to class the next day in order to finish working
the problems dealing with the Hypotenuse-Leg Theorem.
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Activity for the Last Five Minutes/Purpose
 If we know that two corresponding angles of any two triangles are
congruent and at least any one side is congruent to a corresponding
side in the other triangle, then the two triangles are congruent by the
AAS Congruence Theorem or the ASA Congruence Postulate. Stress
that if the congruent side is between the angles, then it is the ASA
Congruence Postulate, and if not, then the third angle can be found
and it turns into ASA Congruence this way.
 Give insight into tomorrow’s lesson covering the other part of Section
5.7 involving the Hypotenuse-Leg Congruence Theorem.