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Geometry Foundations 3.0 Teacher Manual Unit 3 - Setting the Stage - Transparency Master 1. Compare the following measurements by placing an equal sign, greater than sign, or less than sign in the space provided. a. 1’ 5” _____________________ 1.5’ b. 1’ 8” _____________________ 1.75’ c. 1 _____________________ 1.7” 2. Explain how to convert 9’ 3” into 9.25’. TDS Johns Hopkins University Lesson 2 23 Geometry Foundations 3.0 Teacher Manual Unit 3 - Algebra Connections - Transparency Master Triangle Segments Set 1 Set 2 Set 3 Set 4 Set 5 TDS Johns Hopkins University Lesson 2 39 Geometry Foundations 3.0 Teacher Manual Unit 3 - Setting the Stage - Transparency Master Triangle Inequality The sum of the lengths of two sides of any triangle is greater than the length of the third side. Sum of a Triangle’s Interior angles The sum of the interior angles of a triangle is 180°. 1. Is it possible to have a triangle with three angles that measure 60°, 80°, and 100°? 2. Is it possible to have a triangle with three angles that measure 20°, 70°, and 90°? 3. Is it possible to have a triangle with side lengths of 4 inches, 5 inches, and 12 inches? 4. Is it possible to have a triangle with side lengths of 3 inches, 7 inches, and 5 inches? TDS Johns Hopkins University Lesson 3 47 Geometry Foundations 3.0 Teacher Manual TDS Johns Hopkins University Unit 3 - Setting the Stage - Transparency Master Lesson 4 89 Geometry Foundations 3.0 Teacher Manual TDS Johns Hopkins University Unit 3 - Setting the Stage - Transparency Master Lesson 5 105 Geometry Foundations 3.0 Teacher Manual Unit 3 - Setting the Stage - Transparency Master Use a ruler and a protractor to draw an example of the following figures. 1. A quadrilateral with four sides of the same length. 2. A quadrilateral with four right angles. 3. A quadrilateral with exactly one pair of parallel sides. 4. A quadrilateral with opposite sides parallel to each other. • Which quadrilateral has to be a rectangle? • Which quadrilateral has to be a trapezoid? TDS Johns Hopkins University Lesson 6 135 Geometry Foundations 3.0 Teacher Manual Unit 3 - Setting the Stage - Transparency 1 Master Cut out the square on the Geometric Shapes page at the end of the lesson. Cut out each shape created by the dotted lines. All of these shapes can be rearranged to make certain patterns. For example, by rotating and/or flipping the shapes, you can create a candle. TDS Johns Hopkins University Lesson 7 163 Geometry Foundations 3.0 Teacher Manual Unit 3 - Setting the Stage - Transparency 2 Master Rearrange the shapes to create each outline. Sketch the outline of each shape to show the pattern. 164 Lesson 7 TDS Johns Hopkins University