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Mathematics Software
(Click lesson for description of content.)
Ratio and Proportion  Ratio and Rate  Ratio Applications  Proportion
 Proportion Applications and Concepts

Rate Applications - Cost per Unit   Combining Rates of Work   


The Achievement Prep Series - Ratio and Proportion 4.62 MB  
  Developmental Grade Levels 5 - 8  
                                                                                                          Remedial
Grade Levels  7 - 12 Adult

Lesson #1 - Ratio & Rate. This lesson introduces the basic concept of ratio and rate with ample examples and graphics. The tutorial teaches the language of ratio, the methods of problem-solving, and the importance of comparing quantities correctly. The option is presented to review the prerequisite skill of changing fractions to lowest terms. A concept check gives an item analysis of the student's comprehension of the tutorial.
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Module APRP1CD                                       Home Version Win/Mac on CD sent via USPS     $10.95

Lesson #2 - Ratio Applications    Tutorial with graphics and concept checks covers the language and symbols of ratios and gives an option to review. The concept check tests writing and solving ratios and presents ratio applications in critical thinking. Incorrect responses lead to step-by-step solutions to correct answers. 
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Lesson #3 - Proportion. Tutorial distinguishes a proportion from a ratio and shows whether any two ratios can be written as a proportion. Cross multiplying and comparing cross products are shown with graphics within varied examples. The tutorial also covers comparing the quotients of ratios that are improper fractions. Lesson shows that understanding proportion is the basis for solving many kinds of problems in math and science. The lesson introduces solving for "n" within the cross multiplying process. It also illustrates that the reciprocals of a true proportion are always a true proportion. Concept check gives item analysis.
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Lesson #4 - Proportion Applications and Concepts. Tutorial expands on the four ways to tell if two ratios are equal and explains the terms of a proportion. Graphics and examples distinguish direct from indirect proportions. The distinction becomes the key to solving problems in the concept check. A review of reciprocals of fractions is also presented. Concept check gives item analysis.
Module APRP4Wem                                              Home Version Win zipped sent via email     $8.95
Module APRP4CD                                       Home Version Win/Mac on CD sent via USPS     $10.95
                                                                                      

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Lesson #5 - Rate Applications - Cost per Unit Tutorial focuses on determining rates and costs per unit. Covers solving for "n" algebraically when you know any three terms of a proportion.
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Module APRP5CD                                       Home Version Win/Mac on CD sent via USPS     $10.9
                                                                                     

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Lesson #6 - Combining Rates of Work Tutorial with graphics and concept checks teaches how to solve a variety of problems that involve combining rates of work. (Bill paints a room in 5 hours. Ann paints a room in 4 hours. Working together how long will it take to paint the room?) Shows in detail solving for "t" via the step-by-step conventional method and by the shortcut of using the reciprocal of the fraction before "t" in any equation. Before the student enters the concept check, the lesson reviews the prerequisite skills of changing fractions to lowest terms, changing improper fractions to mixed numbers, and adding unlike fractions.
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Achievement Prep Ratio and Proportion COMPLETE COURSE
(Ratio 1 - 6)  Provides over 15 hours of pre-tests, tutorials, and post tests.
Module APRP1-6CD                                    Home Version Win/Mac on CD sent via USPS     $59.95
                                                                                  

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