About This Chapter
Measurement, Geometry & Conversion - Chapter Summary
This chapter will ensure you're familiar with calculations involving the volume of different shapes. The standard measurement units for weight, length and more are broken down. You'll also get to look at the Pythagorean theorem and how to convert units of measurement. You should also be comfortable with the following topics when you leave the chapter:
- Finding area and perimeter of rectangles and triangles
- Solving problems with similar triangles
- Measuring with gauges, meters and scales
- Basic operations involving measurements
You can efficiently refresh your memory by watching this chapter's video lessons from your computer or mobile device. The video tags allow you to quickly backtrack in any lesson as you see fit during your review. Take the lessons' practice quizzes across the chapter to confirm your knowledge of the content.
1. Standard Units of Measurement for Length, Weight, Time & Capacity
Watch this video lesson to learn how to recognize the various units of measurement for length, weight, time and volume. Learn to recognize both U.S. units and metric units.
2. 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.
3. 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.
4. How to Take Measurements with Scales, Meters & Gauges
In the real world, we take measurements all the time. Measurements are taken when you drive and when you weigh yourself, for example. Watch this video lesson to learn how you can take measurements of things that are important.
5. How to Read and Interpret Scale Drawings
Watch this video lesson to learn how scale drawings and legends are used on maps and blueprints. Learn skills that will serve you well when traveling and when looking at the blueprints of a car.
6. How to Construct and Interpret a Scale Map
This lesson will explain what a scale map is and how it represents two different things on the map expressed as a ratio. This lesson will also demonstrate the steps needed to create a scale map from any ordinary map.
7. Points, Lines & Angles in Geometry
After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.
8. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.
9. Perimeter of Triangles and Rectangles
Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.
10. Area of Triangles and Rectangles
How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.
11. Circles: Area and Circumference
Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.
12. 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.
13. Applications of Similar Triangles
Similar triangles are used to solve problems in everyday situations. Learn how to solve with similar triangles here, and then test your understanding with a quiz.
14. How to Calculate the Volumes of Basic Shapes
Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?
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