Chapter 12- Geometry
In lessons 1-3 we learned that a two-dimensional shape is a plane shape (shape on a flat surface). We also learned about the parts that make up a shape. You can see the document below to see examples of a line segment, line, ray, and a point. These parts can form either open or closed shapes. Open shapes do not start and end at the same point. However, closed shapes do start and end at the same point. Some closed shapes can form polygons. Polygons MUST be a closed shape AND be made up of line segments. We learned that not all closed shapes are polygons. A circle is a closed shape, however, it is made up of curved paths and not line segments. Take a look below to identify the difference between an open and closed shape. Also, notice the different types of polygons and how they are categorized! See if you can identify more shapes around you that would be placed in these categories, other than the ones that you see. :-)
Use the video links for review.
Use the video links for review.
In lesson 4 we learned that we can describe the sides of polygons, other than just vertical or horizontal (remember: a side is each line segment). Take a look below to see the 3 different types of lines: parallel, perpendicular, and intersecting. Then, think of times that you have seen each of these lines. Examples of parallel lines: railroad tracks and lines on the road. Examples of perpendicular: bars in a window, traffic lights, and ceiling tiles. Examples of intersecting lines: roller coasters and many power lines.
View the video for review.
View the video for review.
After lesson 4, click on the link below to answer review questions. We will discuss the results as a class. Make sure you try to answer the questions the best that you can.
In lessons 5 and 6 we learned that quadrilaterals can be classified by sides, angles, and types of lines. Remember: a quadrilateral is a polygon that has 4 sides and 4 angles. There are 4 types of quadrilaterals: trapezoid, rectangle, square, and rhombus. In these lessons we found that a square can be a type of rectangle, square, and rhombus. Look at the image below to see how we can classify quadrilaterals and see if you can find ways they are the same and ways they are different.
In lesson 7 we learned that triangles can also be classified. When classifying triangles, look at their sides and angles. Remember: a triangle is a type of polygon that has 3 sides and 3 angles. See the image below to look at the ways triangles can be classified and find ways they are the same and different. (Most similarities is that they have 3 angles and 3 sides. Differences include the # of right angles, # of obtuse angles, and the # of sides that are the same length.