Discovering Discovering Parallelograms Parallelograms

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$By: Melissa Hanel Math B/Grade 11 5 Day Unit Plan Technologies ...$

Geometers Sketchpad- Key Curriculum Press TI-84+ Graphing Calculators CabriJr Applications Unit Objectives: Upon the completion of this unit, students should be able to . . . • find the sum of the measures of the interior and exterior angles of a polygon • recognize the properties of regular polygons • recognize and apply the properties of sides, angles, and diagonals of parallelograms • prove that a quadrilateral is a parallelogram • recognize and apply properties of rectangles • recognize and apply properties of rhombi and squares • recognize and apply the properties of trapezoids • use quadrilaterals in coordinate proofs • prove theorems using coordinate proofs • apply properties of parallelograms to problem-solving NY State Standards: G.R.P.2 Recognize and verify geometric relationships of perpendicularity, parallelism, and congruence, using algebraic strategies. G.R.P.3 Investigate and evaluate conjectures in mathematical terms, using mathematical strategies to reach a conclusion. 2
G.R.P.9 Apply inductive reasoning in making and supporting mathematical conjectures. G.CM.11 Understand and use appropriate language, representations, and terminology when describing objects, relationships, mathematical solutions, and geometric diagrams. G.CM.12 Draw conclusions about mathematical ideas through decoding and interpretation of mathematical visuals (Mathematics Core Curriculum, MST Standard 3, Geometry, March 2005). NCTM Standards: • Analyze properties and determine relationships of two-and-three dimensional objects. • Explore relationships (including congruence and similarity) among classes of two-and-three dimensional geometric object, and make and test conjectures about them. • Establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others (Principles and Standards for School Mathematics, NCTM, 2000, Reston, VA). 3
Page 1: Discovering Parallelograms by Mary
Page 5 and 6: III. Trapezoids 1. Properties a. ba
Page 7 and 8: POLYGON ACTIVITY I. INTERIOR ANGLES
Page 9 and 10: II. EXTERIOR ANGLES: Triangle ∠6
Page 11 and 12: IV. Assignment: pg. 415, problems #
Page 13 and 14: 12. Hide the original lines: F5Ψhi
Page 15 and 16: 8. Construct diagonal BC (follow th
Page 17 and 18: • Each student will construct and
Page 19 and 20: #9. Measure and record the length o
Page 21: Day #2: Now that you have construct

Discovering Discovering Parallelograms Parallelograms

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