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Transcript

UbD Planning Template Title: Geometry Teacher Topic: Congruence and Basic Geometry Subject/Course: Algebra II Grade: 10 Designer(s): Michelle Lee Stage 1- Desired Results Standard 1: Points, Lines, Angles, and Planes Students find lengths and midpoints of line segments. They describe and use parallel and perpendicular lines. They find slopes and equations of lines. Understandings: Essential Questions: Understand geometry in the real world and how it is essential in many industries and careers. Recognize the importance of the basic geometric properties and how they lay the foundation for the rest of the semester. Students will know… - Basic geometry vocabulary: Undefined terms Collinear points Coplanar points Defined terms Line segment Endpoints Ray Opposite rays Intersection Postulate Axiom Coordinate Distance Between Congruent segments Midpoint Segment bisector Angle (acute, right, obtuse, straight) Sides Vertex of an angle Congruent angels Angle bisector Complementary angle Supplementary angle Adjacent angles Linear pair Vertical angles Polygon 1. How does geometry influence everyday life? Why is it important to our society? 2. Where do you see geometric figures in daily life and how are they important? 3. Why is measuring lengths and angles precisely important to society? Students will be able to … 1 Find the lengths and midpoints of line segments in one- or two-dimensional coordinate systems. Example: Find the length and midpoint of the line joining the points A (3, 8) and B (9, 0). 2 Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and compass, explaining and justifying the process used. Example: Construct the perpendicular bisector of a given line segment, justifying each step of the process. 3 Understand and use the relationships between special pairs of angles formed by parallel lines and transversals. Example: In the diagram, the lines k and l are parallel. What is the measure of angle x? Explain your answer. 4 Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines. Example: Find an equation of a line perpendicular to y t 4x s 2. Convex Concave n-gon Equilateral Equiangular Regular Perimeter Circumference Area Diameter Radius - Special functions, transformations, and parent functions Steps Stage 2- Assessment Evidence Performance Tasks: Other Evidence: 1. Poster presentation: Create a poster that 1. Daily exit tickets describes all of the definitions, example 2. Tests (including explaining how you solved it) problem, and step-by-step explanation of how 3. Write a math journal entry. to solve it. Present it to the class as if you were teaching it for the first time. 2. Create a problem for another student with all the necessary information needed to complete the problem. Switch with a partner to make sure your problem can be solved. Stage 3- Learning Plan 1. Complete guided notes/organizers emphasizing key concepts from text book 2. Complete independent practice worksheets