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The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller) Example 1 The picture below shows a dilation with a scale factor of 2. This means that the image, A', is twice as large as the pre-image A. Example 2 Dilations can also reduce the size of shape. Systems of Linear Equations, Solutions examples, pictures and cool Applet. Slide 1 - Math structures presentation.pdf. Common Core Standards : CCSS.Math.Content.8.G.A.3. 3.

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. Transformations are fascinating things in real life, in movies, and of course, in geometry. But if your students expect shapes to turn into giant fighting robots, they've got another thing coming. Students should already be aware of the basic geometric transformations and understand how they change and move shapes on the plane. This can be as simple as knowing that translations are slides, rotations are turns, reflections are flips, and dilations are enlargements or contractions. Obviously, that isn't good enough. When shapes are on the coordinate plane, we can describe the transformations they undergo using their coordinates. Rotations and reflections might be a bit trickier, but we can still use coordinates to describe these transformations.

2-5 geometric transformations - rotations. Lesson: 2-5 geometric transformations - rotations Ryan Hall Williamsburg Collegiate Middle School New York, NY 2716 Views 100 Downloads 5 Favorites Lesson Objective.

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So I figure if we start young people working on this material, they will make lots of mistakes, but will have a good chance of understanding it later on in high school and college.We're doing important mathematics here, and at the same time we're involving young people in a lot of arithmetic! 1. We're going to add these fractions forever! , then and so on, getting these partial sums, until we find a pattern that will help us go forever, without actually doing it.

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She is said to have also exhibited kindness and compassion, especially to the sick and needy. This contrast helped to make her a famous frontier figure.[1] Early life: 1852–1868[edit] Marker east of Princeton indicating the most widely believed location of her birth. The site is now occupied by a Premium Standard Farms hog farm Much of the information about this period of Calamity Jane's life comes from the autobiographical booklet she dictated many years later, in 1896. In 1865 we emigrated from our homes in Missouri by the overland route to Virginia City, Montana, taking five months to make the journey.