Abstract
Students will learn how to convert fractions, decimals, and percents using a computer applet. This is a follow-up lesson to Fraction Conversion.
Objectives
Upon completion of this lesson, students will:
- practice converting fractions, decimals, and percentages
- understand the numeric value of various equivalent representations simple fractions, decimals, and percentages
Standards Addressed
Grade 3
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Numeration
- The student demonstrates conceptual understanding of simple fractions with denominators 2, 3, 4, or 10.
Grade 4
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Numeration
- The student demonstrates conceptual understanding of fractions with denominators 2 through 12.
Grade 5
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Numeration
- The student demonstrates conceptual understanding of positive fractions with denominators 1 through 12 and 100 with proper and mixed numbers and benchmark percents (10%, 25%, 50%, 75%, 100%).
Grade 6
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Numeration
- The student demonstrates conceptual understanding of fractions (proper or mixed numbers), decimals, percents (whole number), or integers.
- The student demonstrates conceptual understanding of fractions, mixed numbers, or percents.
Grade 7
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Numeration
- The student demonstrates conceptual understanding of rational numbers (fractions, decimals, percents, or integers).
- The student demonstrates conceptual understanding of positive fractions, decimals, or percents.
Grade 8
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Numeration
- The student demonstrates conceptual understanding of real numbers.
- The student demonstrates conceptual understanding of rational numbers (fractions, decimals, or percents including integers).
Grade 9
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Estimation and Computation
- The student accurately solves problems (including real-world situations).
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Numeration
- The student demonstrates conceptual understanding of real numbers.
Grade 10
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Estimation and Computation
- The student accurately solves problems (including real-world situations).
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Numeration
- The student demonstrates conceptual understanding of real numbers.
Grade 5
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Number Sense
- 1.0 Students compute with very large and very small numbers, positive integers, decimals, and fractions and understand the relationship between decimals, fractions, and percents. They understand the relative magnitudes of numbers
Third Grade
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Number and Operations-Fractions
- Develop understanding of fractions as numbers.
Fourth Grade
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Number and Operations-Fractions
- Extend understanding of fraction equivalence and ordering.
- Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
- Understand decimal notation for fractions, and compare decimal fractions.
Grades 3-5
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Numbers and Operations
- Compute fluently and make reasonable estimates
3rd Grade
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Number and Operations
- The student will demonstrate through the mathematical processes an understanding of the representation of whole numbers and fractional parts; the addition and subtraction of whole numbers; accurate, efficient, and generalizable methods of multiplying whole numbers; and the relationships among multiplication, division, and related basic facts.
7th Grade
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Number and Operations
- The student will demonstrate through the mathematical processes an understanding of the representation of rational numbers, percentages, and square roots of perfect squares; the application of ratios, rates, and proportions to solve problems; accurate, efficient, and generalizable methods for operations with integers; the multiplication and division of fractions and decimals; and the inverse relationship between squaring and finding the square roots of perfect squares.
5th Grade
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Number and Operation
- The student will develop number and operation sense needed to represent numbers and number relationships verbally, symbolically, and graphically and to compute fluently and make reasonable estimates in problem solving.
3rd Grade
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Numbers and Operations
- The student will develop number and operation sense needed to represent numbers and number relationships verbally, symbolically, and graphically and to compute fluently and make reasonable estimates in problem solving.
4th Grade
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Number and Operation
- The student will develop number and operation sense needed to represent numbers and number relationships verbally, symbolically, and graphically and to compute fluently and make reasonable estimates in problem solving.
7th Grade
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Number and Number Sense
- 7.1 The student will compare, order, and determine equivalent relationships between fractions, decimals, and percents, including use of scientific notation for numbers greater than 10.
4th Grade
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Number and Number Sense
- 4.2.c The student will relate fractions to decimals, using concrete objects.
5th Grade
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Number and Number Sense
- 5.2a The student will recognize and name commonly used fractions (halves, fourths, fifths, eighths, and tenths) in their equivalent decimal form and vice versa
- 5.2b The student will order a given set of fractions and decimals from least to greatest. Fractions will include like and unlike denominators limited to 12 or less, and mixed numbers.
8th Grade
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Number and Number Sense
- 8.1c compare and order decimals, fractions, percents, and numbers written in scientific notation.
6th Grade
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Number and Number Sense
- 6.1 The student will identify representations of a given percent and describe orally and in writing the equivalence relationships among fractions, decimals, and percents.
Textbooks Aligned
Book 1
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Module 3 - Statistical Safari
- Section 2: Fractions, Percents
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Module 6 - Comparisons and Predictions
- Section 6: Fractions and Percents
Book 2
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Module 5 - Recreation
- Section 4: Fractions to Decimals to Percents
Grade 5
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Per Sense
- Fraction/Percent/Ratio Equivalence
Grade 6
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Fraction Times
- Fraction/Percent/Decimal/Ration Relationships
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More or Less
- Fraction/Decimal/Percent Relationships
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Ratios and Rates
- Ratio/Fraction/Decimal/Percent Relationships
Student Prerequisites
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Technological:
Students must be able to:
- perform basic mouse manipulations such as point, click and drag
- use a browser for experimenting with the activities
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Arithmetic:
Students must be able to:
- convert between fractions and decimals
Teacher Preparation
Students will need:
- access to a browser
- pencil and paper
Key Terms
decimal
Short for the term "decimal fraction", a decimal is another way to represent fractional numbers. The decimal uses place value to express the value of a number as opposed to a fraction that uses a numerator and denominator.
fraction
A rational number of the form a/b where a is called the numerator and b is called the denominator
percent
A ratio that compares a number to one hundred. The symbol for percent is %
Lesson Outline
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Focus and Review:
- Remind students what they learned about converting between fractions and decimals.
- Lead into lesson by asking students if they know of another way of representing fractional amounts besides fractions and decimals.
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Objectives
Let the students know what it is they will be doing and learning today. Say something like this:
- Today we will be learning about percents and how to convert fractions, decimals, and percentages.
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Teacher Input
- Lead a discussion on percents.
- Ask students how they think you should convert from fractions or decimals into percentages.
- After discussing different possible methods, explain to students that you can convert to percentages by converting to a fraction over 100, and just using the numerator with the percent sign: %.
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Guided Practice
- Open the Fraction Four applet in a browser.
- Select the fraction to decimal and fraction to percentage problems.
- Guide students through playing the game.
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Independent Practice
- Have students work in pairs to play the Fraction Four game.
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Closure
- Discuss why conversions from fractions to percentages and decimals are important in real life situations.
- Review the steps used to convert from fractions to percentages and decimals.