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Daily Lesson Plans for Pre-AP Geometry Tools of Geometry – Building Blocks Vocabulary Wed-Thurs, August 31, September 1, 2016 Objective: I can define, describe, sketch, label, draw and compare basic geometric terms Warm-up: measure segments, draw segments View glossary entries. Share warm-up, glossary entries. Fix sketch on midpoint. Discussion, demonstration, popcorn questions – point, line, plane, intersections of planes, lines, parallel lines, midpoints, etc. Come to understand that we are re-creating a deductive system sort of like the Greeks did. Define “ray”. Practice naming. Pp 38-40: angle definitions, what do you think? Try this with angle bisector, etc. They will be written up for homework. Angle naming practice from p 39. Practice naming segments, lines, rays (pp33-34: several different problems in class) Go over the naming practice, questions. Practice measuring angles, how to use a protractor. Homework #4: pp 42-43: 1-14. Also do glossary entries for angle, angle measure, congruent angles, and angle bisector. Use words, sketches and labels from pp 38-40. Fri-Tues, Sept 2, Sept 6, 2016 Objective: I can define, describe, sketch, label, draw and compare basic geometric terms. Warm-up: note-building activity – points, lines, planes Warm-up: (6th and 8th only) – naming segments, rays, lines, T/F Take a grade on #4 – 2 pts Share warm-ups and homework 6th, 1st, and 2nd, - pass out course agreement; discuss Some classes – measure angles on 15-20 on p 43 if we have not already. Label sketch given congruence statements; write statements given labeled sketch (practice) Definition writing activity – pp 47-50 View tests in 6th and 8th/ make-up issues HW #5 – pp 44-45:30-38; pp 51-52: 9, 11-14, 16-20 (counterexample sketches on T/F) Quiz coming soon over 1.1-4a. Either Mon-Tues or Wed-Thurs next week – appr 35 pts Wed-Thurs, Sept 7-8, 2016 Objective: I can define, describe, sketch, label, draw and compare basic geometric terms and construct definitions from sketches. P 48 – write up definitions for parallel and perpendicular lines and copy all sketches and labels. Write up definition for skew lines and copy sketch from board. Take a grade on hW #5 – 4 pts Warm-up: algebra worksheet – find the measure of a segment or angle with algebra Go over warm-up and homework. Announce quiz dates. Share definitions and fine tune to reach a class consensus. In class activity: p 51: 1-6. Use ruler and protractor. Mark with sketch marks. HW #6 – p 56: 1-6 Define for homework (in Geometric truth) from pp 54-55: polygon, diagonal, convex polygon, concave polygon, congruent polygons, equilateral polygons, equiangular polygons, regular polygons. Finish writing up into geometric truth all the terms we agreed upon in class. Be sure to use good sketches for every definition. Quiz Fri-Mon, 18 pts over 1.1-2. Quiz Tues-Wed, 35 pts, over 1.1-4. Fri-Mon, Sept 9,12, 2016 Objective: I can demonstrate mastery over naming, sketching, labeling, and measuring segments, angles, lines, rays, planes, points, etc. I can locate linear pairs, vertical angles, complementary, adjacent, and supplementary angles in a complex sketch. Warm-up: true/false over linear pairs, vertical angles, etc. Also use algebra to find measures based on definition of midpoint and angle bisector. Check Geometric Truth: all in one place? All caught up? Good sketches? What to fix. Pass out quiz topics. Learn how to study. Check warm-up and homework. Popcorn: name the polygon based on the number of sides. Go over polygon vocabulary and sketches. What is important? Carefully discuss congruent polygons and model. Sketching practice – 4 problems. Share. Quiz 1.1-2 – 18 pts HW #6b: p 57:17-21, 23-25. Also define from pp 60-61: types of triangles. Copy sketches. (A triangle that…) All but 1st period – start review worksheet after you finish the quiz in class. Quiz Tues-Wed, 36 pts, over 1.1-5a. Study session Tuesday morning after 8 am. Tues-Wed, Sept 13-14, 2016 Objective: I can demonstrate mastery over basic geometric terms, sketching, naming, labeling, interpreting, and applying algebra to definitions. Warm-up: worksheet finish – angle pairs, naming, identifying, algebra, T/F Warm-up: review from book: p 64_2-4,10-12, 19-20, p 79:23,24,26-28,30,31, p 85: 22,23,25,26, p 90:43-44 Take a grade on HW #6a&b – 4 pts. Check HW, check warm-ups. Questions? Triangle definitions from pp 60-61. Quiz 1.1-5a – 36 pts NO HOMEWORK Thurs-Fri, Sept 15-16, 2016 Objective: I can discover, interpret, and apply angle pair relationships, including parallel lines and transversals. Make-up issues. Quiz graded? Most missed, etc. Preview: the process of investigate, write up, apply on homework by using what you now know to be true. You figure it out. Investigations 2.5.1-2 on pp 120-121. Write up C 1-2 on pp 120-121. Use sketches from investigations. Activity: naming angle pairs from top of p 126. (Make sure you know that the names exist whether the lines are parallel or not.) Investigation 2.6.1 – parallel lines and transversals – congruent CA, AIA, AEA. How to use patty paper and what it is useful for. Write up C-3 Parallel Lines (bottom of p 127). Use sketch from investigation. Sketch on board with non-congruent AIA. What would make these lines parallel? Therefore, is the converse true for C-3? Is the converse true for C-1? C-2? Only 3. Write up C-4 on p 129. (parallel) HW #7 – p 122-3:1-10, pp129-30: 1-7. Give a angle relationship reason for each missing angle (VA, LP, CA, AIA, AEA). Mon-Tues, September 19-20, 2016 Objective: I can interpret angle relationships and argue deductively to find reasons. Warm-up: four lines, identify angle pairs. For 3 classes, do a quiz bonus Take a grade over HW #7 – 4 pts Share warm-up (popcorn out loud). Share HW answers on screen. Students tell why. Use #7 to talk about transversals crossing multiple lines. Use #5 for consecutive interior angles being supplementary. What is a postulate? Argue deductively: If linear pairs are supplementary, then vertical angles must be congruent. If CA are congruent, then so are AIA. Constructed response – 5 minutes silent, then work with partner. HW#8 – review handout View quizzes. Quiz hints for Wed-Thurs Wed-Thurs, September 21-22, 2016 Objective: I can demonstrate mastery over angle pairs and explaining why. Warm-up: Identify angle pairs, give transversal, What angles are congruent if these lines are parallel? Etc. Warm-up: angle “jumps” (6th and 2nd mostly) Finish constructed responses from last class (1st and 8th mostly) 2nd period – Multiple Choice Practice Take a grade on HW #8 – 4 pts Go over warm-ups and homework Quiz – Angle Pairs – 24 pts Return both vocabulary quizzes. Pass out Test Topics and Review Assignment (HW #9) Test Mon-Tues – Vocab, Angles, Reasoning, Converse – appr 70-80 pts September 26-27, 2016 Objective: I can demonstrate mastery over vocabulary and angle pairs with reasoning. Warm-up: multiple choice, supplement Take a grade over HW #9 – 6 pts (not done in 1st and 2nd) Check/correct HW Return and question all quizzes Questions? Unit Assessment – Vocabulary and Angles – 80 pts Pass out project – due two weeks from today. You may sketch a practice map on notebook paper, but do not start the final map.