About This Chapter
Number Sense - Chapter Summary and Learning Objectives
Working with numbers includes using and understanding fractions, percentages, and decimals. In this chapter, you will learn how to recognize the values of numbers in each of these forms and how to discern whether they are larger or smaller than others in the same and different formats. You will also be shown how to utilize and interpret information from charts and graphs and become familiar with the concept of unit conversions. When you have completed this chapter, you should know how to:
- Complete mathematical problems containing fractions
- Work with decimals
- Convert decimals to fractions or percents and back again
- Understand and calculate unit conversions
- Interpret different kinds of charts and graphs
|What is a Percent?||Learn the definition of percent and how to identify percentages.|
|Solve Problems using Percents||Understand how to calculate the solution to problems that contain percentages.|
|Comparing and Ordering Fractions||Learn how to discern whether a fraction is greater or less than another and place them in proper order according to relative value.|
|Solving Problems using Fractions and Mixed Numbers||Find the solutions to problems that include both mixed numbers and fractions.|
|Ordering Decimal Numbers||Understand how to determine the relative values of decimals and order them from lowest to highest or vice versa.|
|Solving Problems using Decimal Numbers||Determine the solutions to problems that incorporate decimals.|
|Changing Between Decimals and Percents||Learn how to switch a decimal to a percent and back.|
|Changing Between Decimals and Fractions||Understand how to make a decimal into a fraction and vice versa.|
|Percentages, Fractions, and Decimals||Recognize how to determine which value is greatest among figures in fraction, decimal, and percentage forms.|
|Unit Conversions||Become familiar with what amounts of different units equal each other (such as gallons and quarts).|
|What Is The Order of Operations?||Articulate the different components of the order of operations.|
|Understanding Bar Graphs and Pie Charts||Read and interpret information in pie charts and bar graphs.|
|Interpretation of Graphical Representations||Learn to read and understand values in a line graph.|
1. What is a Percent? - Definition & Examples
Thinking in terms of pizza is an excellent way to think about percentages. Learn how it can help you understand percentages in this video lesson. You will also learn about the uses of percentages in the real world.
2. Solve Problems Using Percents
Percents are your friend. Think of all the cool things percents do for you. They save you money, and they tell you how well you are doing in school. Learn how you can solve problems with percents in this video lesson.
3. Comparing and Ordering Fractions
Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.
4. Solving Problems using Fractions and Mixed Numbers
Fractions don't just live in math problems. They're all around us, helping us through our lives. In this lesson, we'll look at real scenarios where your ability to work with fractions can save the day.
5. Comparing and Ordering Decimals
In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.
6. Solving Problems Using Decimal Numbers
Problems involving decimal numbers might sound like a way to torture you, but learning how important these types of problems are in the real world is important. In this lesson, you will see a couple areas in life where you routinely encounter decimal number problems.
7. Changing Between Decimals and Percents
Watch as we go on a rollercoaster ride in changing from a decimal to percent and then back again. Learn to master this technique so you can get as fast as a rollercoaster going downhill on tests and quizzes when you have to convert between the two.
8. Changing Between Decimals and Fractions
In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.
9. Calculating & Converting Percentages, Fractions & Decimals
After watching this video lesson, you will be able to convert between percentages, fractions, and decimals easily and quickly. Learn the steps you need to take for each type of conversion.
10. Common Unit Conversions
Watch this video lesson, and you will become a pro at converting between inches and feet, between feet and yards, and between quarts and gallons. Learn the special numbers involved in each conversion.
11. What Is The Order of Operations in Math? - Definition & Examples
The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.
12. Understanding Bar Graphs and Pie Charts
In this lesson, we will examine two of the most widely used types of graphs: bar graphs and pie charts. These two graphs can provide the reader with a comparison of the different data that is displayed.
13. Interpreting Graphical Representations
After watching this video lesson, you will be able to quickly and easily read and interpret any line and bar graph. You will be able to gather important information by just looking at one of these graphs.
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