INTRODUCTION TO TRANSFORMATIONS AND TRANSLATIONS PLEASE COMPLETE THE STUDENT INFORMATION SHEET ON YOUR DESK. Unit 1 – Day 1

Welcome to CCM 2 Honors  My website: All course information will be posted there. Check the site often!

What is CCM2: engage students in realistic problem-solving classroom activities students work collaboratively in small groups for a period of days, hands-on investigations, discovery learning, and student presentations

Classroom Expectations: RESPECT yourself, others, and your school at all times Take responsibility for your learning and your actions Be physically and mentally prepared for class (have supplies, be on time, be attentive and cooperative) Consume food and beverages in the cafeteria only Comply with all KHS and Wake County policies

Supplies 3-Ring Binder with Notebook paper Dividers Pencils Recommended: TI-83 or TI-84 graphing calculator  If you cannot purchase one, there is a way to download a graphing calculator to your desktop computer. Go to my website for directions.  We only have a few calculators from the school, if you do not purchase your own you will be required to share with your neighbor!!

Grading Quarter Grades: Tests and Projects: 60% Quizzes: 20% Class work: 10% Homework: 10% You will have 4 projects in Honors! Semester Grades: 1 st Quarter: 40% 2 nd Quarter: 40% Final Exam: 20%  State Test – Measure of student learning “MSL”

Make – Up Work You are out = YOUR RESPONSIBLILITY to get make-up work. Get class notes from a neighbor or from the website Tutorials Tuesday afternoons 3:15-4:45 Room 2622 (upstairs)

Warm Up – Matching Card Game  Each of you has been handed a card with a figure plotted on a coordinate plane.  Find your classmate who has the “matching” figure.  Once you find your “match”, sit together and write a quick description of how your figures have been changed. Be as descriptive as possible! Use the Monday block of the Warm Up sheet to record your description.  Solid is original, dotted is the new image.  Once all matches have been found, a few will share a few. End

Transformations Definition: A Transformation is a change in the position, size, or shape of a geometric figure.

Think About The Situation – Page 196 B and C only

Investigation In this lesson, you will learn how coordinates can be used to transform shapes. You will investigate coordinate representation of rigid transformations that provide a way to reposition figures in a plane without changing the shape or the size of the figures.

Translation Definition: A Translation (slide) is a transformation that moves points the same distance and in the same direction. A translation in the coordinate plane is described by a vector.

Preimage and Image The preimage is the original figure.  Denoted as A The image is the figure after a transformation.  Denoted as A’ or “A prime” (This is called Prime Notation)

Group Work A translation, or sliding motion, is determined by distance and direction. By looking carefully at a simple shape and its translated image, you can discover patterns relating the coordinates of the shape and the coordinates of its image. Work with your partner to complete the questions in 15 minutes Problem 2 and 3 in your textbook. Page 198 and 199

Question 2 v

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General Rule Compare the transformation rules you developed for Part d of Problem 2 and for Parts c and e of Problem 3. In pairs, write a general rule that tells how to take any point (x, y) and find its translated image if the preimage is moved horizontally h units and vertically k units. Compare your rule with other pairs and resolve any differences.

General Rule (x, y)  (x + h, y + k) Describes a translation of h horizontal units (+ Right, - Left) k vertical units (+ Up, - Down)

Example Write a description and rule for the following translation *Hint: the Translated Image is Always has the Prime notation

Vector Notation Vector notation is another way to write rules of translations. A vector is written as  h = left/right  k = up/down

Homework Complete the assigned worksheet! Your first project will be assigned tomorrow, the first project will be due on Monday, Sept 16 First Quiz: Friday, 8/30 Second Quiz: Thursday, 9/5 Third Quiz: Friday, 9/13 First Test: Tuesday, 9/17