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Differentiated Lesson Plan Geometry Unit 1: Chapter 1 & 2 Foundations for Geometry_Important vocabulary terms_Solve equations review Content Standard(s): 1.0 —Students know key vocabulary terms in Geometry. 4.0 —Students prove basic theorems involving congruence and similarity. 17.0—Students prove theorems by using coordinate geometry, including the midpoint and distance formula. Developing An Objective: (Differentiation Formula T/S + C + R/S + P) Thinking Skills Students should be familiar with resources in the textbook. A review of how to solve equations (especially equations with variable on both side) will be helpful for later use. Identify, name, and apply basic facts about certain key vocab: Point, Line, Segment, Length of segments, Endpoint, Ray, Opposite Rays, Plane, Collinear, Noncollinear, Coplanar, Right, Acute, Obtuse, and Straight angle, Linear Pair, Congruent, Midpoint, Bisector, Vertex, Interior vs. Exterior, adjacent <s, Vertical angle, Complementary angle, Supplementary angle... Differentiation Strategies Special Needs: Visual: the following is another way for students to remember which sum is 90 and which is 180: Draw a line along the C in complementary to make a 9 for 90, and add a line through the S in supplementary to make an 8 for 180. C0 MPLEMENTARY 1S0 UPPLEMENTARY Open scissors to show an acute or obtuse angle. Below Level: Another strategy to remember is C comes before S and 90 comes before 180. Resources & Research Skills Holt Materials Assessment Resource Grab & Go File Lesson Transparencies Review for Mastery wrkbook Graphic Organizers Student Practice worksheet Standardized Test Prep CD Test & Practice genarator Product Algebra reviews: PEMDAS, Solve Eq w/ Variable on bs Textbook Scavenger Hunt Flashcards Solve equation review Symbols & Meanings Angle Pair relationships Vertical angles Constructions and/or Manipulatives Distance & Midpoint Formulas FaceMath Congruence Prob Solving Strategies Internet my.hrw.com Projects: or regentsprep.org Illustrating Vocabulary. Other:________________ Tantalizing Tessellations. The shape of letter ‘x’ suggests the idea of vertical angles. Advanced Learners: Each student should create a simple puzzle by dividing a square into six regions using segments. Students should measure all of the angles formed and write several hints for the puzzle solver. For example, a hint might be that one corner of the square is made of a 15 angle and a 75 angle. Students should then exchange puzzles with a partner and try to reassemble the original square. EL: Explain the bi is a prefix meaning “two” and sect means “to cut,” as into section. Mid means “middle.” Other Materials: *ELMO *LCD projector *Overhead Projector *WHITE BOARD *Math Activity Kit Objective: SWAT identify, name, and classify angles and find measures of pairs of angles. SWAT know and use the formula for midpoint and to find distance. Century High School_Math Department_Ms. Nong x67447_Page 1 Performance Assessment: Informal: active listening, spot checks, play math games (if time), project Formal: notes summary, quizzes, Unit test Alternative Assessment: Have students create a diagram containing each type of angle introduced in this lesson. They should identify the angles in their diagram, measure each with their protractor, choose one to copy, and bisect another. Have students name and draw various pairs of angles introduced in this lesson. Ask them to write and solve a word problem using complementary or supplementary angles on index cards, and then rotate for other students to solve. Have students draw and then define vertical angles in their own words. Ask them to give examples of vertical angles used in real-world structures. Lesson Notes / SDAIE Strategies / GLAD Strategies / ETC.: Go over with students all the vocabulary words listed in the “Thinking” column above before teaching the chapter. Review the parts of an angle. Discuss how to name angles. (3 ways to name an angle), and how to measure angles symbol m<A. Unit for angle is degree ‘◦’ . Review the different angle pairs and illustrations in the lesson. Remind students that a linear pair is a pair of adjacent and supplementary angles, but not all complementary and supplementary angles are adjacent. Then have students identify what kind of angle is a complement of an acute angle, a supplement of an obtuse angle, and the supplement of a right angle. Math Humor: Teacher: Today we are going to learn about complementary angles. Student: Does that mean the angles are nice to each other? ** Distinguish how to find DISTANCE and MIDPOINT for 1 and 2 dimensions. C H ALGEBRA AH 1 GEOMETRY PPT, NOTES, HANDOUTS, WORKSHEET DESCRIPTIONS X Types of angles vocabulary, Facemath # 8 Solve Eq w/ variable on both sides X Calculate Distance and Midpoint In one and two dimensions X X Transformations: Reflective, Rotation, Translation, Line of Symmetry: 1) Symmetry video: http://www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/4_Line_Symmetr y/index.html 2) http://www.misterteacher.com/abc.html ; 3) http://www.harcourtschool.com/activity/icy_slides_flips_turns/ X 4) http://www.emints.org/ethemes/resources/S00002262.shtml X Tessellations projects (mathcat.com) X More teaching notes… Closure: Ask “What type of angle is formed by a pair of adjacent angles that form a linear pair?” “Do two angles have to be adjacent to be complementary or supplementary?” Century High School_Math Department_Ms. Nong x67447_Page 2