Unit 1: Transformations Day 4: Dilations

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Presentation transcript:

Unit 1: Transformations Day 4: Dilations Geometry Unit 1: Transformations Day 4: Dilations

Agenda Warm-up Homework Check Quiz Notes/Activity Independent Practice

Warm-Up Individually, rewrite your definitions WITHOUT using the vocabulary term. Then sketch a picture of each. Isometry Translation Reflection Rotation e.g. Rotation is not “rotating an object” Extra Question: What does the phrase “Be Kind, Please Rewind” mean

Homework Check Solutions

Quiz When finished, turn quiz over and remain quiet until all quizzes are picked up

In partners One at a time: 1 person close your eyes for 15 seconds. The other person, watch their eyes as they open. Write down what you notice. Repeat with other person.

Dilation A dilation occurs when you resize a shape It can get bigger or smaller. but it still looks similar, meaning all angles stay the same and relative sizes are the same Does a dilation have the property of isometry? Can mention how a projector creates a dilation. This presentation is dilated so that those of you in the back of the room can see the words. It is enlarged for you to see.

All Dilations have a scale factor Scale Factor – how much a figure changes in size

http://www.mathopenref.com/dilate.html

What is the difference between an enlargement and a reduction? The dilation is an enlargement if the scale factor is greater than 1. The dilation is a reduction if the scale factor is between 0 and 1.

How do you go from A to A’ Does that work for B to B’ and C to C’? Have students figure out that they multiply the ordered pair A by 2 to get the ordered pair A’. Have them verify this for point B to B’ and C to C’

Algebraic Rule for Dilations: *c is called the scale factor See if students can create this on their own.

If given a preimage and an image how do you find the scale factor? A’ or A need to be either the x’s or the y’s of one coordinate, Unless the values are zero.

Example – Find the scale factor

Example – Find the scale factor

Independent Practice Page 676-678 #7-9, 18-23, 28-31, 38,39, 42

Exit Ticket Come up with an example or a time you would see or use a dilation in the real world.

Homework Dilation Worksheet