Handouts

HANDOUTS
**MAIN ACTIVITIES FOR THE WORKSHOP**

**Module 1** INTRODUCTION TO CABRI JR.

**Module 2** "BETWEEN"
 * Lesson 1 - betweenness on a segment
 * Lesson 2 - betweenness in an angle

**Module 3** VERTICAL AND SUPPLEMENTARY ANGLES
 * Lesson 3 - examines vertical angles formed by intersecting lines
 * Lesson 4 - supplementary angles on a line

**Module 4** TRANSVERSALS AND ANGLES
 * Lesson 5 - exploring corresponding angles formes when two lines are cut by a transversal
 * Lesson 6 - parallel lines cut by a transversal and corresponding angle measures

**Module 5** BISECTORS
 * Lesson 7 - Perpendicular Bisector Theorem - a point on the perpendicular bisector is equidistant from the endpoints and other points in the plane are not.
 * Lesson 8 - Angle Bisector Theorem - a point on the angle bisector is equidistant from the sides and other points are not.

**Module 6** TRANSLATIONS
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 9 - translating a triangle
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 10 - multiple translations and animation

<span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">**Module 7** REFLECTIONS
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 11 - reflecting a triangle
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 12 - reflections in the coordinate plane

<span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">**Module 8** ROTATIONS
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 13 - rotating a triangle
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 14 - invariants in a rotation

<span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">**Module 9** DILATIONS
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 15 - dilating a triangle
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 16 - dilations in the coordinate plane
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 17 - problem solving with dilations

<span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">**Module 10** COMBINING TRANSFORMATIONS
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 18 - reflections and translations
 * <span style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Lesson 19 - rotations and reflections

**<span style="color: #ff0000; font-family: 'Times New Roman',Times,serif; font-size: 210%;">AUTHENTIC ASSESSMENT 1 ** <span class="yshortcutscs4-visible" style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">** Real world problem involving parallel lines and transversal. **

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> In the diagram shown, there is one door and two sets of window panes. Working in groups of twos, determine which set of window panes or door can best represent a pair of parallel lines with a transversal. Using Cabri Jr, draw the set that has the best representation. Identify at least two sets of corresponding angles. <span style="color: #ff0000; font-family: 'Times New Roman',Times,serif; font-size: 210%;"> <span class="snippet" style="font-family: 'Times New Roman',Times,serif; font-size: 200%;">Participants are grouped for this assignment because not all the teachers would have fully grasped the Cabri Jr concept because each participant was working individually during the hands-on exercises. The individual hands-on exercise was deliberately done to allow each participant to be fully engaged without collaboration, as the participant had to listen to the Cabri Jr. presenter and simultaneously use the TI SmartView and the calculator in hand.

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;">** Participant Name **

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> After completing authentic assessment 1, please respond to the following questions:

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> 1) What did you learn from this hands-on exercise?

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> 2) What was the most difficult part of this hands-on exercise for you?

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> 3) Why was it difficult?

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> 4) If your students found this or any other part of the exercise difficult, what would you do to help them overcome this difficulty?

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> 5) When you are demonstrating this exercise with your students, is there anything you would do differently?

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> 6) If yes, what would it be?

<span style="display: block; font-family: 'Times New Roman',Times,serif; font-size: 200%; text-align: left;"> 7) Do you think Cabri Jr is a useful software to teach geometry?