| How to take this course
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| We've made it easy! No log-in, no time limit, just click on the module in which you are interested below and get started today.
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| Course Outline
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| Each lesson consists of an interactive Shockwave movie. The lessons cover geometry principals, theorems, properties, and phenomena using the Cabri Jr. App for the TI-83 and TI-84 Plus graphing calculators. You will be able to complete the activity right in your web browser on a 'simulated' TI-84 Plus calculator (actually a recording of TI-SmartView). You must follow the audio instructions as you work through each lesson, as you will hear which key or keys to press to make the movie proceed. Along the way, the movie will pause and wait for you to press the appropriate key(s). Each movie also has a player control at the bottom center so that you can go forward or backward in the movie. Some frames of a movie may contain a 'continue' button or a 'click for answer' button that you should click to continue. At the end of the movie there is a 'COURSE HOME PAGE' button in the lower right corner that brings you back to this page. You can return to this page before completing the movie by pressing the 'BACK' button on your browser's toolbar.
You may also wish to follow along on your own graphing calculator. To load and use Cabri Jr. press the Apps key on your calculator, select Cabri Jr. and press any key when you see the title screen. If there is already a construction on the screen, you can clear the screen by either:
Press F1, select "New..." and answer either "Yes" or "No" to the 'Save Changes?' dialog box with the arrow keys and Enter.
Press F5, select "Clear..", press right arrow and select "All Objects". Answer "Yes" to the 'Are you sure?' message.
Much of the cursor movement in Cabri Jr. has been eliminated in these lessons to reduce the number of clicks you must supply and to reduce the file size of the movies. As a result, you will see the pointer on the calculator screen jump around from place to place. On your calculator you will have to move the pointer to the correct position using the arrow keys.
Some of the later lessons will begin with a construction already started. You learned to create this state in a previous lesson.
These movies are 680x580. A screen resolution of 1024x768 gives the best viewing size, but 800x600 works well, too.
- PLAY ME FIRST: An important introduction to Cabri Jr. and some tips about using the lessons in this course.
- Module 1 "BETWEEN"
- Module 2 VERTICAL AND SUPPLEMENTARY ANGLES
- Lesson 1 - examines vertical angles formed by intersecting lines
- Lesson 2 - supplementary angles on a line
- Module 3 TRANSVERSALS AND ANGLES
- Lesson 1 - exploring corresponding angles formes when two lines are cut by a transversal
- Lesson 2 - parallel lines cut by a transversal and corresponding angle measures
- Module 4 BISECTORS
- Lesson 1 - Perpendicular Bisector Theorem - a point on the perpendicular bisector is equidistant from the endpoints and other points in the plane are not.
- Lesson 2 - Angle Bisector Theorem - a point on the angle bisector is equidistant from the sides and other points are not.
- Module 5 DISTANCE
- Lesson 1 - exploring distances between two points to conclude that the shortest distance is a segment
- Lesson 2 - establishing the distance from a point to a line
- Lesson 3 - a problem involving determining the shortest total distance from a point to a line to another point on the same side of a line
- Module 6 TRANSLATIONS
- Lesson 1 - translating a triangle
- Lesson 2 - invariants under a translation
- Lesson 3 - multiple translations and animation
- Lesson 4 - translations in the coordinate plane
- Lesson 5 - translation exploration
- Module 7 REFLECTIONS
- Module 8 ROTATIONS
- Module 9 DILATIONS
- Module 10 COMBINING TRANSFORMATIONS
- Module 11 SPECIAL TRIANGLES
- Lesson 1 - constructing an isosceles triangle
- Lesson 2 - constructing an equilateral triangle
- Lesson 3 - constructing a right triangle
- Module 12 ANGLES IN A TRIANGLE
- Lesson 1 - the sum of the angles in a triangle
- Lesson 2 - establishing a proof for the sum of the angles of a triangle
- Lesson 3 - relationship between an exterior angle and the interior angles
- Module 13 SIDES AND ANGES OF A TRIANGLE
- Lesson 1 - relationship between the angles and the sides of a triangle
- Lesson 2 - the minimum and maximum length of a side of a triangle
- Module 14 PROPORTIONS
- Module 15 MIDSEGMENTSOF A TRIANGLE
- Lesson 1 - the midsegment of a triangle
- Lesson 2 - the midsegments triangle of a triangle
- Module 16 TRIGONOMETRIC RATIOS
- Lesson 1 - ratios in a right triangle (trig relationships)
- Lesson 2 - an area formula for a triangle
- Module 17 SPECIAL SEGMENTS IN A TRIANGLE
- Lesson 1 - the median, angle bisector, and altitude of a triangle
- Module 18 CENTERS OF A TRIANGLE
- Module 19 CENTERS OF A TRIANGLE CONTINUES
- Lesson 1 - a relationship among the four centers of a triangle
- Lesson 2 - the orthocenter and the circumcenter of a triangle (and the nine point circle)
- Module 20 QUADRILATERALS
- Lesson 1 - constructing the special quadrilaterals (kite, trapeziod, isosceles trapezoid, parallelogram, rhombus, rectangle, and square
- Module 21 PROPERTIES OF QUADRILATERALS
- Lesson 1 - properties of the special quadrilaterals
- Lesson 2 - applying the properties of the special quadrilaterals
- Module 22 MIDSEGMENTS OF A QUADRILATERAL
- Lesson 1 - the midsegments of a quadrilateral
- Module 23 OTHER SEGMENTS IN QUADRILATERALS
- Lesson 1 - the angle bisectors of a quadrilateral
- Lesson 2 - the medians of a quadrilateral
- Module 24 AREAS AND QUADRILATERALS
- Lesson 1 - area and the diagonals of a trapezoid
- Lesson 2 - dividing a parallelogram into equal areas
- Lesson 3 - finding equal areas in a parallelogram
- Lesson 4 - overlapping squares
- Module 25 ANGLES AND CIRCLES
- Lesson 1 - an angle inscribed in a circle
- Lesson 2 - angles formed by chords intersecting inside a circle
- Lesson 3 - angle formed by two secants of a circle
- Lesson 4 - angle formed by a secant and a chord
- Module 26 SEGMENTS AND CIRCLES
- Lesson 1 - lengths of segments on two intersecting chords in a circle
- Lesson 2 - lengths of segments on two secants of a circle
- Lesson 3 - lengths of segments on a secant and a tangent of a circle
- Module 27 EQUATION OF A CIRCLE
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