Independent Study/Preview/Review Unit 1:
Key Terms/Vocabulary
Unit 1 Project: City Designer
You've heard the words flip, slide, turn, and enlarge since you can remember, right?
You know from personal experience that if you put a piece of paper on the table and slide it down the table two feet, that it doesn't lose its properties of perimeter, area, etc.
In mathematics, we call these transformations.
The transformations we'll be learning about are:
You know from personal experience that if you put a piece of paper on the table and slide it down the table two feet, that it doesn't lose its properties of perimeter, area, etc.
In mathematics, we call these transformations.
The transformations we'll be learning about are:
reflections
, translations, rotations, and dilations.
We will also explore the properties of parallel lines cut by a transversal. Many cool things happen with paired angles created by this transversal. We'll use that knowledge to help us solve other types of problems where parallel lines exist. Finally, we'll end the unit by examining triangles.
Triangles have some unique features that can help solve problems with triangles, as well as other shapes. We'll explore the angle sum theorem as well as the angle-angle postulate for triangles. All of these geometric concepts, as well as others, will be the basis for concepts you'll see in your high school math career. So, hang on tight while we explore the world of Geometry.
, translations, rotations, and dilations. We will also explore the properties of parallel lines cut by a transversal. Many cool things happen with paired angles created by this transversal. We'll use that knowledge to help us solve other types of problems where parallel lines exist. Finally, we'll end the unit by examining triangles.
Triangles have some unique features that can help solve problems with triangles, as well as other shapes. We'll explore the angle sum theorem as well as the angle-angle postulate for triangles. All of these geometric concepts, as well as others, will be the basis for concepts you'll see in your high school math career. So, hang on tight while we explore the world of Geometry.
Essential Questions:
- How can we show that a two-dimensional figure is congruent to another if the second is a sequence of rotations, reflections, or translations?
- What are the effects of dilations, translations, rotations, and reflections on the coordinates of two dimensional figures?
- How can we show that a two-dimensional figure is similar to another if the second is a sequence of rotations, reflections, translations, or dilations?
- What angle relationships can we draw from parallel lines being cut by a transversal?
- What is the sum of the angles of a triangle?
- How can we determine the similarity of triangles based on the angle measures of the triangle?
