GeometryUnit 1 - Transformations

Welcome to Geometry!•As you enter the room, please grab a

colored Student Info sheet from the front desk under “Daily Supplies”

•Find your name on a desk.

•Begin filling out the info sheet.

Syllabus•Let’s look at it together…

Geometry Binder

Classroom Procedure: Warm Ups• Each day will start with a Warm Up posted on

the board.

• Warm ups should be completed on a loose leaf piece of paper and stored in your binder.

• Multiple Warm Ups can be answered on page as long as each is clearly marked with the date.

• Warm Ups must be stored in chronological order.

Classroom Procedure: Homework• You will each have an individual Homework Stamp

Sheet

• Your Homework Stamp Sheet must be in the Homework section of your Geometry Binder.

• At the beginning of each class, while working on your Warm Up, I will walk around to check your Homework and mark your Stamp Sheet

• Homework is graded by completion. (100%, 50%, 0%). Late Homework will not be accepted but is required for your binder.

About your Teacher

Classroom Expectations•Be Respectful

•Be Responsible

•ParticipateWhat do these look like?

Be Respectful

Be Responsible

Participate

All KHS policies will also be enforced•Please remove hats before entering the

classroom.

•Thank you for respecting my time and keeping your cell phone turned off/in your locker/at home.

•Please finish all food and drinks (except water) in the hall before coming in the classroom.

Any other Classroom Expectations?

Transformers

Bumblebee Transforming

Image or Preimage?

Transformation•A transformation of a geometric figure

is a change in its position, shape, or size.

•The preimage is…the original figure. (Denoted by A)

•The image is…the figure after a transformation. (A’ of “A prime”)

Isometry•An isometry is a transformation in which

the preimage and image are congruent

•What does it mean to be congruent?▫Two figures are congruent if they have the

exact same size and shape (≅)

Arrow NotationA A’ means point A becomes A’

What is going on in this picture?

Group Work – Translation Worksheet

•Read through the directions carefully

•If you do not understand the directions, first talk with your group, then ask for help

Worksheet

Translation•A translation is an isometry

(transformation) that slides all points of a figure a fixed distance in the same direction (a slide)

Why is it an isometry?

Vector Notation•Vector notation to write rules of

transformations. Vector: describes a slide written

x = left/righty = up/down

Formulizing Algebraic Rules

Pre-image Image

Describes a translation of a horizontal units (+ Right, - Left)

b vertical units (+ Up, - Down)

Ex 1•Describe the translation that this rule

represents.

Partner Practice.• 1. On one side of your graph paper, draw lines to split

your page into three parts

• 2. In section 1, draw a preimage and create an algebraic rule so that your partner can create the image.

• 3. In section 2, draw a preimage and a translated image so that your partner can describe the algebraic rule.

• 4. In section 3, draw an IMAGE and create an algebraic rule so that your neighbor can create the PREIMAGE. (hint: you need to work backwards!!)

Homework•Practice 12-2

•Take home your Syllabus and a Parent Info sheet

•Have your parent/guardian read and sign the syllabus and fill out the info sheet.

•Return these SIGNED tomorrow

•Keep the syllabus in your binder