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WEEK 29-SCALE-FACTORS-AND-TRANSFORMATIONS

VIMSCHOOL

Created on October 9, 2024

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Transcript

Scale Factors and Transformations

Objectives

Start

Scale Factors

Identifying Scale Factors

Practice

Real-World Application

Summary

Scale Factors

In every dilation we have a scale factor

Let's delve into this concept

🗨️

The scale factor is a number that describes how much a shape is enlarged or reduced.

Example 1: If the scale factor is 2, the image is twice the size of the original.

For the side c:

6=2(3) c'=2c

The relationship can be expressed as:

Identifying Scale Factors

Given a preimage and image, you can find the scale factor by comparing corresponding sides.

Example 2: Given the triangle ABC and its scaling A'B'C':

🗨️

The scale factor is:

Scale factor=3

Practice

Click here to draw >

Scaling of an Image

You are working on a project scaling an image without altering it. (px: pixel)

Find the scale factor which gave to the new image.

Scale factor=2.5

Solution

Click here to draw >

Transforming an Image

Then, augment the image by a scale factor of 2.

Move the image 5 units to the right and 1 unit up.

Solution

Try it by yourself:

Real-World Application

Summary:Transformation of Coordinates

Translation

(x + a, y + b)

Other angle: Measure ∥ an rotate object

rotation

x-axis: (x, y) -> (-x, y) y-axis: (x, y) -> (x, -y)

reflection

(kx, ky) k: scale factor

dilation

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

8TH-SCALE-FACTORS-AND-TRANSFORMATIONS-EN Š 2024 by CASURID is licensed under CC BY-NC-ND 4.0

MATERIAL

It is highly advised to have:

  • Grid paper.
  • A Protactor.
  • Pencils of different colors.
  • Eraser.
  • A rule.
  • A compass.
  • A calculator.
  • Geogebra installed on your phone/tablet/computer (or use online version).

"MA.8.GR.2 Understand similarity and congruence using models and transformations." MA.8.GR.2.2 Given a preimage and image generated by a single dilation, identify the scale factor that describes the relationship. MA.8.GR.2.3 Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane.