Geometry Prep R. Morales Triangle Properties: Inequalities, Sides and Angles, Special Lines 10/27/14 – 11/7/14 Learning Activities: Student Outcomes (Objectives) Daily Activities Day 1: Monday 10/27 Test Review Warm – Up: Students review questions without writing anything Introduction: Students are going to prepare for test tomorrow! Practice: In pairs, students complete different problem from each other silently. They switch and correct student’s work. Continue this process until they are done. Once complete, they check answers online. Closing: What have covered? How were the different topics connected? Warm-Up: Decide as a class one problem to ask question over if confused. We will go over. Test 6 Warm-Up: Predict test scores – Tests handed back and reassessed Introduction: Please look at these gifs (1 at a time). Write down what you think is happening in each one. Students assess what each line is doing to the triangle parts - Gif 1: Angle bisector / Gif 2: Median / Gif 3: Altitude / Gif 4: Perpendicular bisector / Gif 5: Midsegment Student thoughts confirmed/enhanced: Gif 6: Angle bisector with key / Gif 7: Median with key / Gif 8: Altitude with key / Gif 9: Perpendicular bisector with key / Gif 10: Midsegment with key Guided Practice: Students complete exploration about how to find the different segments given coordinate plane and triangle. Essential Question: Is there a method to find each using equations of lines? Indep. Practice: Students complete worksheet concerning these properties. Closure: Exit ticket: Think about what we’d need to be able to construct the angle bisector of a triangle. What tools are involved? What measurements? Do we need a coordinate plane? Warm-Up: Graph 4 different triangles and find the midsegments of one side of each. Introduction: What are the relationships we noticed last time? Do we notice any other relationships? (Parallel midsegment and base of triangle) Guided Practice: Students think-pair-share a mixed set of problems that apply algebraic properties to the 5 different triangle segments we’ve worked with. Indep. Practice: Students create their own organizer for the five segments and their properites. (To help prompt creativity, show a variety of organizers including infographics, charts, foldables, and at least one song.) Closure: After reviewing everyone’s organizers, do we want to take one and make a copy for everyone? Warm-Up: Students observe gif 11: Triangle Inequality, orientation 1. What is the relationship between this picture and what we know about triangles? Introduction: What is happening in this gif? (a + b > c) If we turn the triangle around, does it change the content? (gif 12: Orientation 2) Discuss the universality of the inequality. Guid. practice: In pairs, try and create possible triangle lengths. Scalene Day 2: Tuesday 10/28 Test Day 3: Wed/Thurs 10/29 – 10/30 We will determine the characteristics of altitude, perpendicular bisector, median and angle bisector. Day 4: Friday 10/31 Students will be able to determine the properties and applications of the midsegment theorem. Students will be create the most efficient graphic organizer for his/her review of materials. Day 5: Monday 11/3 Students will be able to connect the sides of triangles with their opposite angles and the relationship between the two. Students will be able to determine if three lengths create a possible triangle. Day 6: Tuesday 11/4 Students will be able to determine if three side lengths are a possible triangle combination. Day 7: Wed/Thurs 11/5 – 11/6 Students will be able to compile unit knowledge of materials for test review. Day 8: Friday 11/7 Isosceles Equilateral Acute Obtuse Right Equiangular Indep. Practice: Students work on variety of questioning methods for triangle inequality theorem. Closure: Exit ticket quiz – Cannot finish until 100% correct (EXEMPLIFYING GRIT!) Warm-Up: Look at gif 13: Triangle with sides and angles measured. What is the longest side? Shortest? Middle? Introduction: Why would I want to know the shortest side of a triangle? Longest? Middle? If I know the angle measurements, can I find these quantities? Guid. Practice: Draw and label a triangle. Use your protractor and measure all three angles. Then use the ruler side to measure the sides in centimeters. Classify all the sides and angles from smallest to largest. What do you notice? (Show gif 14: Labeled and color-coded) Indep. Practice: Create your own study guide for test review. Covers: median / angle bisector / perpendicular bisector / altitude / triangle inequality theorem / smallest to largest sides and angles Closure: What are you confused about? Warm-Up: Take out all practice work from this section and review any you might have questions about. Introduction: Work through your test review using notes and the work you took out from warm-up. Guid. Practice: (After 30 minutes of work time) What questions do you have over the test review? Once we’ve finished answering these questions, then answer questions about practice work. Test 7