About This Chapter
Illinois TAP Math: Fractions, Decimals and Percents - Chapter Summary
The lessons in the Illinois TAP Math: Fractions, Decimals and Percents chapter will enable you to solve problems involving fractions, decimals and percentages in preparation for the Illinois TAP - Test of Academic Proficiency. You'll gain an understanding of all these types of numbers and their relationships. You'll also learn how to perform calculations involving ratios and proportions. The topics covered in this chapter include:
- Building and reducing fractions
- Finding the least common denominator
- Comparing and ordering fractions
- Changing between improper fractions and mixed numbers
- Adding and subtracting like numbers, unlike numbers and mixed fractions
- Multiplying and dividing fractions and mixed numbers
- Understanding decimal place values and ordering decimal numbers
- Solving problems using decimal numbers
- Understanding percents
- Changing between decimals and percents
- Solving problems using percents
- Changing between decimals and fractions
- Calculating with ratios and proportions
With help from expert instructors, you'll learn to perform calculations and solve problems involving percents, fractions and decimals. You'll enjoy exploring these types of numbers and their variations, such as mixed numbers, through video lessons.
Objectives of the Illinois TAP Math: Fractions, Decimals and Percents Course
All Illinois teachers must pass the TAP exam as a licensing requirement. The TAP consists of three sections with a total of 170 multiple-choice questions and a writing segment. You must get a passing grade on each section. Fractions, decimals and percents are covered in the 50-question math section of the TAP. You can test your knowledge and become familiar of this type of test by taking the quizzes that are included with each video lesson.
1. How to Build and Reduce Fractions
Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.
2. How to Find Least Common Denominators
Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.
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. Changing Between Improper Fraction and Mixed Number Form
Improper fractions and mixed numbers are two different types of fractions. They both have different purposes when using fractions in a problem. In this lesson, you will learn how to convert between these two different forms.
5. How to Add and Subtract Like Fractions and Mixed Numbers
When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.
6. How to Add and Subtract Unlike Fractions and Mixed Numbers
Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.
7. Multiplying Fractions and Mixed Numbers
Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.
8. Dividing Fractions and Mixed Numbers
Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.
9. Practice with Fraction and Mixed Number Arithmetic
Adding whole numbers is one thing. But adding fractions and mixed numbers? That's not so simple. Or is it? In this lesson, we'll practice arithmetic with both fractions and mixed numbers.
10. What is a Decimal Place Value?
In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.
11. 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.
12. Arithmetic with Decimal Numbers
Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!
13. 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.
14. 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.
15. 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.
16. 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.
17. 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.
18. Calculations with Ratios and Proportions
Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.
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Other chapters within the ILTS TAP - Test of Academic Proficiency (400): Practice & Study Guide course
- About the Illinois TAP Test
- Illinois TAP Reading Comprehension: Vocabulary & Language
- Illinois TAP Reading Comprehension: Find the Main Idea & Supporting Details
- Illinois TAP Reading Comprehension: Inference & Interpretation
- Illinois TAP Reading Comprehension: Critical Reasoning
- Illinois TAP Reading: Summarizing & Interpreting Information
- Illinois TAP Language Arts: Grammar
- Illinois TAP Language Arts: Writing Mechanics
- Illinois TAP Writing: Understanding Audience
- Illinois TAP Writing: Development & Organization
- Illinois TAP Writing: Editing & Revision
- Illinois TAP Writing: Clarity
- Illinois TAP Writing: Practice
- Illinois TAP Math: Integers
- Illinois TAP Math: Estimation & Measurement
- Illinois TAP Math: Reasoning Skills
- Illinois TAP Math: Algebra
- Illinois TAP Math: Geometry
- Illinois TAP Math: Data & Statistics
- ILTS TAP - Test of Academic Proficiency Flashcards