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Transcript
Nichole Kurtz April 29, 2009 Backward Design Unit STAGE 3: PLAN LEARNING EXPERIENCES AND INSTRUCTION A. LIST Content Knowledge: Uses of polygons in construction of bridges and real world situations The sum of any triangle’s interior angles equals 180 degrees A right angle is 90 degrees An acute angle is less than 90 degrees An obtuse angle is greater than 90 degrees For any triangle, the sum of the two shorter sides must be greater than the longest side or it will not form a triangle An equilateral triangle has three sides that are the same length An isosceles triangle has two sides that are the same length A scalene triangle has three sides of different lengths A triangle cannot have two right angles An equilateral triangle always has three acute angles (always 60 degrees each) Polygons are closed figures with straight edges Quadrilaterals are four-sided polygons Triangles are three-sided polygons Squares have four congruent sides and angles Rhombi have four congruent sides Rectangles have two opposite pairs of congruent sides and four congruent angles Parallelograms have two opposite pairs of congruent sides Kites have two adjacent pairs of congruent sides Trapezoids have one pair of parallel sides Many polygons can be classified as more than one shape The Quadrilateral Hierarchy Theorem links together shapes that are classified as more than one shape Parallel lines never intersect Perpendicular lines intersect to form four 90-degree angles Intersecting lines intersect but do not form right angles translations are slides (same position, congruent figure, different location) rotations move about a specific point (congruent figure, different position) reflections are mirrored across a line of symmetry dilations make an object larger or smaller by a scale size B. LIST the Process Skills: Add interior angles of a triangle to determine that the sum is 180 degrees Measure and identify right, acute and obtuse angles Given side lengths, determine whether they can form a triangle Measure and identify equilateral, scalene and isosceles triangles Determine whether it is possible to create certain triangles (e.g., a right isosceles triangle) Identify and classify polygons Describe polygons in terms of congruency, angles measures and parallel sides Identify and draw parallel, perpendicular and intersecting lines and shapes Build a model of the relationship between characteristics of quadrilaterals Nichole Kurtz April 29, 2009 C. List Titles of 10 Lessons: 1. Angles of a Triangle Angles 2. The Side Lengths of a Triangle 3. Triangle Classification 4. Sorting Shapes and Polygons 5. Marshmallow Quadrilaterals 6. Quadrilaterals with Geometer’s Sketchpad 7. Translations 8. Reflections 9. Rotations 10. Dilations Backward Design Unit