Lesson Six - Subtracting Fractions
This lesson shows that subtraction of fractions is related to the subtraction of whole numbers. The borrowing process is introduced with a story that gives a concrete picture of what one is doing when borrowing in a fractional subtraction exercise.
A logical, step-by-step process is developed to subtract mixed numbers. Special cases involving a mixed number minus a whole number and a whole number minus a mixed number are investigated.
You Will Learn
- To subtract fractions.
- To subtract mixed numbers.
- To borrow when needed for the subtraction of mixed numbers.
- To subtract a whole number from a mixed number.
- To subtract a mixed number from a whole number.
30 Minutes. Teaching guide and worksheet enclosed.
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Lesson Seven - Multiplying Fractions
This lesson shows that multiplication of fractions is related to the multiplication of whole numbers. A rationale for the canceling process is developed.
A logical, step-by-step process for multiplying mixed numbers is then developed. Various types of fractional multiplication problems are shown as well as multiplication problems involving more than two numbers.You Will Learn
- To explain why the canceling process works in multiplication of fractions.
- To multiply fractions.
- To multiply mixed numbers.
- To multiply more than two mixed numbers.
30 Minutes. Teaching guide and worksheet enclosed.
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Lesson Eight - Dividing Fractions
+ Review of Fractions
This lesson has two primary objectives. The first is an introduction to the division of fractions. The concept of the reciprocal is developed. Then, through a discovery process, the method used to divide fractions is investigated. A logical, step-by-step process for dividing fractional numbers is presented with a number of examples.
The second purpose of this lesson is to review the addition, subtraction, multiplication and division of fractions. This is a summary of what has been learned in Lessons 4 through 8.
You Will Learn
- To explain what a reciprocal is and give examples.
- To explain why zero does not have a reciprocal.
- To divide fractions.
- To divide mixed numbers.
30 Minutes. Teaching guide and worksheet enclosed
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Lesson Nine - Adding & Subtracting Decimals
The creation (or discovery) of decimal place values is discussed starting with the creation of the concept of zero. Decimal place values are investigated and a method for comparing decimal fractions is determined.
The method for adding and subtracting decimals is related to adding and subtracting whole numbers and fractions, including the need for a common denominator. The importance of decimal addition and subtraction is highlighted in a discussion of maintaining a checking account register.
You Will Learn
- To define the location of the decimal point.
- To compare decimal fractions.
- To add decimal numbers.
- To subtract decimal numbers.
30 Minutes. Teaching guide and worksheet enclosed.
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Lesson Ten - Multiplying & Dividing Decimals
This lesson has three objectives. The first is to develop the process for multiplying decimal numbers. This is done based on the student's knowledge of the multiplication of whole numbers and fractions. We discuss the importance of getting a reasonable answer to a multiplication problem.
The last two objectives involve the division of decimal numbers. First the lesson develops the method for decimal division based on understanding the division process. Then the rounding off of an answer is discussed, and this process is related to the real world through examples.
You Will Learn
- To multiply decimal numbers.
- To divide decimal numbers.
- To check the answer to a decimal division problem.
- To divide and round off to a specified place value.
30 Minutes. Teaching guide and worksheet enclosed. |
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