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```					                                  4th Grade Math Tutorial

Objective: Use models and pictures to add and subtract rational numbers with like
denominators.

Overview: Students will add and subtract fractions with like denominators using
models to show the problem.

Materials:    Fraction circles, worksheet (file 1_8.jpg), pencil

Procedures:

Introduction: Tell the student that he/she will be using fraction circles to show
how to add and subtract fractions with like denominators. Stress to the student
that the denominators must be the same for them to be added or subtracted.

Practice: Model for the student how to use the fraction circles to show how to
add 1/8 + 2/8 = 3/8, to subtract 3/5 - 1/5 = 2/5, etc. Do not try to change improper
fractions to mixed numbers or reducing fractions to lowest terms until the student
demonstrates mastery of adding the fractions. As you work, explain what you are
doing.
Have the student compute some addition and subtraction problems with you,
such as:

Examples:     3/10 + 3/10                                    7/8 - 3/8

5/9 - 2/9                                     5/12+1/12

Independent Practice: As students become more confident, they may work
independently. After students understand the process, begin working on showing
how to reduce to simplest terms by using the fraction circles to show the reduced
fraction.

Example: 3/12=1/4

Closure: Ask the student, 'When would you use fractions?" "Could you use them
to double a recipe?" "How else?"

```
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