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Averages Basic Concept Sub-totals, Mean, Median, Mode
Fractions Fraction Concept Equivalent Fractions Common Denominator
Changing Mixed Numbers
to Improper Fractions
Changing Improper Fractions
to Mixed Numbers Adding
Fractions and Mixed Numbers Subtracting Fractions and Mixed Numbers
Review Lesson
Multiplying
Fractions and Mixed Numbers Dividing Fractions and Mixed Numbers
The Achievement Prep Series - Averages 1.00 MB
Averages I - Basic Concept Animated
graphics within the tutorial explain the method for finding averages
in many examples. Defines terms like addend and sum. Pretest and
post test.
Averages II - Sub-totals, Mean, Median, Mode Tutorial
defines mean, median, and mode, and provides practice in identifying
each term through many practical examples. Shows how data is organized
and how to identify the correct number of addends within sub-totals.
Pretest and post test. Developmental grade levels 4-6. Remedial
grade levels 7-adult.
Averages I&II AVERhe
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The Achievement Prep Series - Fractions 9.27 MB Developmental Grade
Levels 4 - 7
Remedial
Grade Levels 7 - 12 Adult
Lesson #1 - The Fraction Concept.
Animated graphics show Fractional Models. Writing fractions in
words. Defines numerator, denominator, division line, equal parts
of a set, unequal parts of a set. Tutorial on whole numbers, mixed
numbers, proper-improper fractions, like fractions, unlike fractions,
reading fractions, and equality of units. Applications and problems.
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Lesson #2 - Equivalent Fractions. Fractional
Models. Tutorial on higher terms - lower terms fractions, graphs,
charts, problem-solving. Exercises in raising and reducing fractions.
Fraction Stack Modeling, tutorial and check-up. Item Analysis
of key concepts.
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Lesson #3 - Common Denominator.
Tutorial on greatest common factor, factors, products, common
factor of 1, review of lowest terms. Methods and applications
for finding the common denominator, common multiples, least common
denominator. Concept checks. Item analysis of key concepts.
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Lesson #4 - Changing Mixed Numbers to Improper Fractions.
Review of terms with concept checks.
Animated graphics show in step-by-step detail how to change mixed
numbers to improper fractions. Remedial branching for errors.
Use of graph to show improper fractions in units. Item analysis
of errors. Errors in procedure are differentiated from errors
in computation.
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Lesson #5 - Changing Improper Fractions to Mixed Numbers.
Review of terms with concept checks
.Animated graphics show in step-by-step detail how to change improper
fractions to mixed numbers. Remedial branching for errors. Use
of graph to show mixed numbers in units. Item analysis of errors.
Errors in procedure are differentiated from errors in computation.
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Lesson #6 - Adding Fractions and Mixed Numbers.
Extensive tutorial with animated graphics covers adding like,
unlike fractions, and mixed numbers. Shows conventional and alternative
ways to represent mixed numbers in addition. Reviews basic understandings
of mixed numbers and lowest terms from earlier lessons. Word problem
models illustrate fraction addition with step-by-step remedial
branching. Option to review finding common denominator and how
to simplify answers. Shows alternative approaches to word problems
with mixed numbers. Mixed drill addition exercises have correction
frames. Item analysis separates errors in adding like, unlike
fractions, and mixed numbers.
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Lesson #7 - Subtracting Fractions and Mixed Numbers. Extensive tutorial with animated graphics
and concept checks shows subtracting like and unlike fractions,
mixed numbers, contrasts to addition, rewriting and regrouping.
Shows alternative ways to subtract mixed numbers and to represent
mixed numbers in subtraction. Treats advantages of regrouping.
Word problem models illustrate fraction subtraction with step-by-step
remedial branching. Contains option to review. Item analysis of
"When to Rewrite," "How to Rewrite," and Step-by-Step
Subtraction Review.
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Lesson #8 - Review Lesson.
The main menu presents the entire lesson as an option. There is
no pretest or post test. This lesson offers quick access to skills
needed for the multiplication of fractions that are not multiplication
skills per se. They are: changing a mixed number to an improper
fraction; changing an improper fraction to a mixed number; and
dividing a fraction by a common factor to change the fraction
to lower terms. Extensive tutorials on these skills are reshaped
as prerequisites for multiplication. Contains the "redo"
feature and scoring of regular lessons.
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Lesson #9 - Multiplying Fractions and Mixed Numbers. The extensive tutorial has concept checks.
Animated graphic models show the relationship of the multiplication
of fractions to the addition of fractions and a comprehensive,
step-by-step explanation of canceling. Another step-by-step tutorial
of a word problem serves as an example for multiplication exercises
that follow. Solutions are shown for all responses. Item analysis
differentiates errors of when to cancel versus computation, and
scores the results of solving multiplication problems.
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Lesson #10 - Dividing Fractions and Mixed Numbers. Animated graphic models show each step
in the division of fractions and mixed numbers. Tutorials on reciprocals
and canceling followed by exercises and problem-solving. Solutions
are shown for all incorrect responses. Item analysis of errors.
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Achievement Prep Fractions COMPLETE COURSE
(Fractions 1 - 10) Provides over 25 hours of pre-tests,
tutorials, and post tests.
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