About This Chapter
Measurement & Geometry - Chapter Summary
The lessons in this chapter cover aspects of how to carry out measurement and geometry concepts. You will study information about perimeter, area and reflections in math. By the end of this chapter, you should be familiar with:
- Parts of a graph
- Different types of lines
- Difference between types of triangles such as isosceles and obtuse
- Properties of rectangles and squares
- Compare and contrast the shapes parallelograms and trapezoids
- Unique qualities of circles
- How to translate an object
- Examples of rotations
- Definition of reflections in math
- The Pythagorean theorem
- Applications of finding the perimeter of objects
- How finding the area applies to the real world
- Ways to calculate the volume
- Basic mathematical operations
- Converting to the metric system
The short and engaging video lessons will cover the information in this chapter in great detail. Video tags are included with every video so you can skip around the lessons as needed. When you complete every lesson, make sure you take the lesson quiz as well. These quizzes will let you know how much of the material you are successfully retaining. Also, they give you immediate results so you know what you still need to study.
1. Plotting Points on the Coordinate Plane
If you'll be working with a graph, otherwise known as the coordinate plane, it's essential to understand how it works. This includes learning the parts of a graph, identifying points and plotting points.
2. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
3. Properties of Shapes: Triangles
Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.
4. Properties of Shapes: Rectangles, Squares and Rhombuses
What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.
5. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
Four-sided objects are more than just squares and rectangles. In this lesson, we'll discuss quadrilaterals, parallelograms and trapezoids. We'll also discuss polygons, objects that can have more sides than you can count.
6. Properties of Shapes: Circles
Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.
7. What is Translation in Math? - Definition, Examples, & Terms
In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.
8. Rotations in Math: Definition & Overview
A geometric rotation refers to the rotating of a figure around a center of rotation. This lesson will get you going on rotations, give you some examples, and end with a quiz that tests your knowledge of rotations.
9. Reflections in Math: Definition & Overview
A reflection of an object is a 'flip' of that object across a line. This lesson will describe the basics of reflection, how to recognize one and how to create one.
10. The Pythagorean Theorem: Practice and Application
The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.
11. Perimeter: Real-World Geometry Problems
Watch this lesson to get some practice using perimeter in real-world situations. If you like baking brownies, you'll be able to use the math here to make your creations even more delicious!
12. Area: Real-World Geometry Problems
View this lesson to see how you can use geometric area in real-world situations, like mowing the lawn or picking out which carpet installer you should hire. A quick area review and quiz are also included.
13. Volume: Real-World Geometry Problems
Volume isn't just a concept you use in textbooks! It's all around you in the real world. In this lesson, you'll work through two examples of real-world geometry problems and then get some more practice with a quiz.
14. How to Perform Basic Operations with Measurements
In this video lesson, you will learn how measurements are very much like variables when it comes to adding, subtracting, multiplying, and dividing them. You will also see examples of how they are done.
15. How to Convert Standard Units of Measure
The United States uses pounds, miles and Fahrenheit for measurements, but the rest of the world uses the metric system. This video lesson will help you to convert from one to the other easily, so you can understand kilometers and kilograms, too.
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