| In Module 1 you learned about whole numbers. Here we deal with part numbers, numbers that do not represent wholes, but instead represent parts or fractions of wholes. You will find the arithmetic of fractions very different from the arithmetic of whole numbers. For example, multiplying fractions generally makes the result smaller, and dividing makes it larger. Multiplying and dividing fractions are generally easier to do and learn than adding and subtracting, so we study them first. These are some of the things you will come to understand by visualizing fractions as fraction bars. |
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2.1 The Fractions |
- Know the meaning of numerator and denominator and what each word determines in a fraction.
- Compare two fractions using >, <, or =.
- Recognize the difference between proper and improper fractions.
- Convert between improper fractions and mixed numbers. |
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2.2 Comparing Fractions |
- Find the reciprocal of any given fraction or mixed number.
- Write equivalent fractions in higher or lower terms.
- Factor a number into its set of prime factors.
- Simplify fractions to lowest terms. |
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2.3 Multiplying & Dividing Fractions |
- Multiply fractions and mixed numbers.
- Divide fractions and mixed numbers. |
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2.4 Adding & Subtracting Fractions |
- Add or subtract fractions with like denominators by combining the numerators over the common denominator.
- Find the LCD by using a factor tree.
- Write equivalent fractions with a common denominator.
- Add and subtract fractions with unlike denominators. |
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2.5 Additional Assignments |
- Find fractional parts of whole numbers.
- Translate from word sentence to mathematical symbols. |
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