1. Topic-
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| Making Beautiful Artwork Using Triangles |
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2. Content-
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Scalene, Isosceles, Equilateral, Acute, Obtuse, Right, Equiangular,
Triangle, Congruent, Corresponding Angles, Complementary Angles, Supplementary
Angles, Perpendicular Bisector, Mid-segment, Median, Vertex, Midpoint,
Altitude, Angel Bisector, Centroid, Parallel Lines, Orthocenter, Circumcenter,
Incenter, Side-Side-Side (SSS) , Side-Angle-Side (SAS), Angle-Side-Angle
(ASA) , Given, Prove, Corresponding Parts of Congruent Triangles are
Congruent (CPCTC)
** Past list of vocabulary words |
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3. Goals: Aims/Outcomes-
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Students will be able to prove geometric theorems.
Students will be able to make geometric constructions.
Students will be able to prove theorems involving similarity.
Students will be able to apply geometric concepts in modeling situations. |
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4. Objectives-
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G.1 Communicate mathematical ideas, reasoning, and their implications
using multiple representations, including symbols, diagrams, graphs,
and language as appropriate.
G.1 Create and use representations to organize, record, and communicate
mathematical ideas. G.1 Analyze mathematical relationships to connect
and communicate mathematical ideas.
G.1 Display, explain, and justify mathematical ideas and arguments
using precise mathematical language in written or oral communication.
G.4 Distinguish between undefined terms, definitions, postulates,
conjectures, and theorems.
G.5 Investigate patterns to make conjectures about geometric relationships,
criteria required for triangle congruence, special segments of triangles.
G.6 Prove two triangles
are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side,
Angle-Angle-Side, and Hypotenuse-Leg congruence conditions.
G.6 Apply the definition of congruence, in terms of rigid transformations,
to identify congruent figures and their corresponding sides and angles.
G.7 Apply the Angle-Angle criterion to verify similar triangles and
apply the proportionality of the corresponding sides to solve problems. |
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5. Materials and Aids-
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6. Procedures/Methods-
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A. Introduction-
Over the past two week we have learned about triangle basics, special
segments, exploring special segments, parts of congruent triangles,
side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA),
using SSS, SAS, ASA to prove triangles are congruent, and SSS, SAS,
ASA proofs with CPCTC.
** Remember the top projects will be participating in the El Paso
Art Museum Art Contest. |
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B. Development-
Identify an isosceles triangle.
Identify an equilateral triangle.
Identify a scalene triangle.
Identify an acute triangle.
Identify an obtuse triangle.
Identify a right triangle.
Identify an equiangular triangle.
Identify a perpendicular bisector.
Identify a mid-segment.
Identify a median.
Identify an altitude.
Identify an angle bisector.
Demonstrate using SSS to prove triangle are congruent.
Demonstrate using SAS to prove triangle are congruent.
Demonstrate using ASA to prove triangle are congruent.
** One of the above three need to be with CPCTC.
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C. Practice-
The students will actively listen as their peers explain their projects.
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D. Independent Practice-
Students will explain their individual projects to the class.
Ask students varying questions about triangle basics, special segments,
exploring special segments, parts of congruent triangles, side-side-side
(SSS), side-angle-side (SAS), angle-side-angle (ASA), using SSS, SAS,
ASA to prove triangles are congruent, and SSS, SAS, ASA proofs with
CPCTC. |
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E. Accommodations (Differentiated Instruction)-
| Students will be learning from their classmates. |
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F. Checking for understanding-
| Students will be able to explain different concepts from triangle
basics, special segments, exploring special segments, parts of congruent
triangles, side-side-side (SSS), side-angle-side (SAS), angle-side-angle
(ASA), using SSS, SAS, ASA to prove triangles are congruent, and SSS,
SAS, ASA proofs with CPCTC. |
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G. Closure-
| We will continue with project design presentations till everyone
has gone. |
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7. Evaluation-
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| Students are able to explain all the required parts of their project
relating to triangle basics, special segments, exploring special segments,
parts of congruent triangles, side-side-side (SSS), side-angle-side
(SAS), angle-side-angle (ASA), using SSS, SAS, ASA to prove triangles
are congruent, and SSS, SAS, ASA proofs with CPCTC. |
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8. Teacher Reflection-
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Based on the assessment performed during project presentations I
will be able to assess if students reached the learning objectives
for the past two weeks.
Schedule tutoring time for students that need the extra help.
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