Ch 21: GACE Early Childhood Education: Numbers & Number Sense

About This Chapter

Use our lessons to review information on teaching about numbers and their properties. The videos and quizzes can help you prepare for questions on these topics when you take the GACE Early Childhood Education exam.

GACE Early Childhood Education: Numbers & Number Sense - Chapter Summary

Let us help you refresh your knowledge regarding ways to teach about number lines, properties of numbers and writing arithmetic expressions. The videos cover the following topics to help you answer any GACE Early Childhood Education exam questions about the following:

  • Number systems teaching strategies
  • What a number line is
  • How to find place values in whole numbers
  • The commutative, distributive and associative properties
  • What the identity property is
  • The multiplicative inverse property
  • Having the proper setup for solving math problems

You'll enjoy reviewing for the exam with these entertaining lessons, filled with examples to clarify their points. You may not have studied some of these topics since high school, and some topics may be entirely new, but our lessons let you proceed at your own pace so you'll feel prepared for any type of exam questions. In addition to the chapter's practice quizzes, there is a chapter exam that you can take to assess your grasp of the material.

12 Lessons in Chapter 21: GACE Early Childhood Education: Numbers & Number Sense
Test your knowledge with a 30-question chapter practice test
Teaching Strategies for Number Systems & Sequences

1. Teaching Strategies for Number Systems & Sequences

In this lesson, you'll explore several different teaching strategies related to number sense and patterns within our number system to support the development of numeracy skills.

What Is a Number Line?

2. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

Finding Place Values in Whole Numbers

3. Finding Place Values in Whole Numbers

After watching this video lesson, you will be able to find the location of any place value that you are given. You will also be able to identify them in any whole number.

Arithmetic with Whole Numbers

4. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

How to Perform Addition: Steps & Examples

5. How to Perform Addition: Steps & Examples

Addition is one of the basic operations of math. You can say that the whole of mathematics is based on addition. Without addition, we wouldn't have higher math. Watch this video to learn how to add.

What is Subtraction in Math? - Definition, Methods & Examples

6. What is Subtraction in Math? - Definition, Methods & Examples

In this lesson, we will learn about subtraction, which is the opposite of addition. We'll learn ways to picture simple subtraction problems, how to calculate the problems that are not so simple, and how to recognize subtraction in everyday situations.

The Commutative and Associative Properties and Algebraic Expressions

7. The Commutative and Associative Properties and Algebraic Expressions

The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.

Distributive Property: Definition, Use & Examples

8. Distributive Property: Definition, Use & Examples

After completing this lesson, you will be able to state the distributive property and apply it to various types of problems. You will also be able to accurately perform the mathematical operations that are involved with the distributive property.

Identity Property: Definition & Examples

9. Identity Property: Definition & Examples

In this lesson, you will learn the definition of the identity property, discover the four different identity properties and examine examples that clearly illustrate these properties. Following this lesson will be a brief quiz to test your knowledge.

Additive Inverse Property: Definition & Examples

10. Additive Inverse Property: Definition & Examples

In this lesson, we will examine the additive inverse of a given number. We will also learn about the additive inverse of a variable and how it can be represented graphically. Finally, we will explore the most widely employed application of the additive inverse.

Multiplicative Inverse: Definition, Property & Examples

11. Multiplicative Inverse: Definition, Property & Examples

In this lesson, we will cover the definition of the multiplicative inverse, as well as its property. We will review some examples of the property so that we can gain a better understanding of the material. Following the lesson will be a brief quiz.

What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions

12. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions

When it comes to solving math word problems, there is a correct way of setting up the problem and labeling the various parts of the problem so that you can solve the problem easily. Watch this video lesson to learn how you can do it.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the GACE Early Childhood Education (501): Practice & Study Guide course

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