HOW TO USE THIS BOOK
This is not an ordinary text. It is a programmed text which is designed to help you apply the
basic principles of ratio and proportion. Information is divided into small segments called frames. We
will ask you to take part in the program by answering questions, filling in blanks, and performing
As you will see, the programmed text is designed so that you may study the text and then test
yourself immediately. Write your answers in this booklet. Writing each answer will help you remember
the specific information you have learned. You can correctly answer all the questions in the
programmed text because the programmed text gives you all the correct answers.
There are three frames on each page. Work all the frames at the top of each page first, working
through the text. Then return to the front of the text and work the frames at the middle of each page.
Do the same for the bottom frames. The frames are numbered consecutively.
The answers to each frame will be on the page following the frame. Short answers are written
above the next frame; longer answers may take up the space of an entire frame. The number of the
answer will be the same as the question with the word response. (For example, the answer to FRAME
NUMBER 7 will be FRAME NUMBER 7 (Response(s).)
Fill in all the answers to each frame. If you find that you have written a wrong answer, mark
through the wrong answer, and go back over the teaching point you missed; then write in the correct
If you merely fill in the blanks in the programmed text without studying and working out the
problems, you will be unprepared to answer the examination exercises that are located at the back of the
text. Remember, you will be graded on the examination exercises.