About This Chapter
Teaching Mathematical Operations - Chapter Summary
This helpful chapter outlines methods for teaching mathematical operations. You'll study games and activities that can be used to teach the properties of real numbers and models used to represent operations and numbers. Each one of our user-friendly lessons is followed by a short, multiple-choice quiz you can use to ensure you've understood the material. Our instructors are available in case you have any questions along the way. This chapter is designed to help you:
- Give an example of a fact family
- Define regrouping as it's used in math
- Outline the addition, subtraction, multiplication and division properties of equality
- Explain what factors and multiples are
- Discuss prime factorization and what it's used for
- Solve world problems involving least common multiple and greatest common factor
- Understand strategies and methods that can be used to teach factoring
1. Properties of Real Numbers Activities & Games
As a math teacher, you know how important it is for your students to understand the properties of real numbers. This lesson gives you activities and games that will help your students synthesize their knowledge.
2. Using Models to Represent Numbers & Operations
In math, models or pictures can be used to represent numbers and operations like addition and subtraction. In this lesson, we'll look at three types of models used to solve problems in math.
3. What is a Fact Family? - Definition & Examples
In this lesson, learn what fact families are and how they work to help you understand that numbers in a fact family are related. Gain a better of understanding of how addition and subtraction work together, and study the relationship between multiplication and division.
4. What is Regrouping in Math? - Definition, Subtraction & Addition
Starting in second grade, students begin to learn how to add and subtract numbers that are greater than one digit. To do this, they need to be taught how to regroup. This lesson will define regrouping and show examples for both addition and subtraction.
5. Addition Property of Equality: Definition & Example
After watching this video lesson, you should be able to use the addition property of equality to help you solve problems. In addition, you can learn the formula for this property.
6. Subtraction Property of Equality: Definition & Example
In this video lesson, we look at the subtraction property of equality. Learn how it helps you to solve problems and how it keeps equations the same. Learn what you must do to both sides of an equation.
7. Multiplication Property of Equality: Definition & Example
After watching this video lesson, you will learn to use the multiplication property of equality to help you solve problems in math. You will also learn the formula for this property.
8. Division Property of Equality: Definition & Example
In this video lesson, you will learn about the division property of equality, its formula, and how you can use it to help you solve problems where you are looking for an unknown number.
9. Methods for Teaching Math Operations
Learning how to do the four basic operations is a big part of elementary math education. This lesson gives you a few methods for teaching the operations to your students.
10. What are Factors & Multiples?
A mathematician needs to know how to work with numbers. In this lesson, you'll learn two ways to work with numbers: using factors and multiples. You'll also learn the definitions of factors and multiples and how to find the factors and multiples of a number.
11. What is Prime Factorization? - Definition & Examples
In this lesson, you will learn about prime numbers and how to find the prime factorization of a number. By the time we're done, you should be skilled at breaking down numbers into their smallest parts!
12. Word Problems: Greatest Common Factor & Least Common Multiple
In this video lesson, you will learn what kinds of word problems you can expect to see that involve the greatest common factor or the least common multiple. Learn what you need to do to understand these problems and then to solve them.
13. How to Teach Factoring
Learning how to factor is an important foundation to many more complex mathematical activities. This lesson will offer you a range of choices that will help you teach factoring to children.
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Other chapters within the Education 211: Teaching Elementary Math course
- Understanding Math Standards
- Developing Math Curriculum
- Planning Math Instruction
- Instructional Strategies for Math Teachers
- Creating Math Learning Environments
- Assessments for Teaching Math
- Educational Resources for Teaching Math
- Counting & Cardinality in the Classroom
- Algebraic Thinking in the Classroom
- Teaching Base 10 & Fractions
- Teaching Standard & Metric Measurements
- Teaching Time & Money
- Teaching Geometry Basics
- Geometric Measurements in the Classroom
- Teaching the Coordinate Plane
- Teaching Graphical Data Identification