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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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.
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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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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.
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