What is Fraction Quiz?
This activity allows the user to practice simplifying, converting, and multilpying decimals, percentages, and fractions.
Remember the numerator is the number on the top of the fraction and the denominator is the number on the bottom. To simplify fractions, you must factor the numerator and denominator completely. Then you cross out the numbers that are in both the numerator and the denominator. If all of the factors are cancelled in the numerator, then replace it with 1 (which is a factor of any number). Likewise for the denominator. Here is an example:
To convert fractions to decimals, just divide the numerator by the denominator. To multiply fractions you just multiply the numerator of the first fraction by the numerator of the second fraction, then divide this result by the denominator of the first fraction multiplied by the denominator of the second. Here is an example:
How Do I Use This Activity?
This activity allows the user to practice simplifying, converting, and multiplying decimals, percentages, and fractions.
In this applet, questions are categorized by a combination of level (which determines the difficulty) and by types of problems listed. For more information on how questions are generated and what each level and problem type means, see Question Types for Fraction Quiz and Fraction Four.
Controls and Output
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To start the game, choose a question difficulty (Level 1, Level 2, Level 3) and select the
types of questions you want to answer. Then click the
Start Game button.
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After clicking the
Start Game button, a new screen appears. Towards the left of the screen is a table that lists the
types of questions selected along with the difficulty level.
- Note that within the input field there is a pattern (#### or #/#) which indicates whether your answer should be a decimal or a fraction. If your answer is a decimal, it must be accurate to within .001. (For instance, if the correct answer is one-third as a decimal then .33 will not be accepted but .333 will).
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You have a limited amount of time to answer. The
Elapsed Time above the answer text box shows how much time has gone by since you started the question.
Once the elapsed time reaches the time that you set at the begining of the game, the time
is up.
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After you have entered your answer, you need to click on the
Answer button to find out if you are correct.
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If you want to restart the game, you can do so by clicking on the
New Game button:
- This activity will automatically record how successful you are at answering the questions. To view the score, press the Show Score button at the bottom of the activity and a pop-up window will appear with the scoreboard. To close this pop-up window press the Close button or click back on the main window.
- To pause the scoring, press the Active button at the bottom of the screen and it will change to a Paused button. To resume scoring, press the Paused button.
- To reset the scoreboard, open the scoreboard using the Show Score button and then press the Reset button.
Description
This applet allows the students to learn to multiply, add, simplify, and convert fractions, decimals, and percents by playing a game. This activity would work well in same-ability groups of two for about twenty minutes, if you use the exploration questions, and ten to fifteen minutes otherwise.
Place in Mathematics Curriculum
This activity can be used to:
- convert fractions, decimals, and percents
- simplify fractions
- develop number sense
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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Functions and Relationships
- The student demonstrates conceptual understanding of functions, patterns, or sequences including those represented in real-world situations.
- The student demonstrates algebraic thinking.
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Numeration
- The student demonstrates conceptual understanding of real numbers.
Grade 10
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Functions and Relationships
- The student demonstrates conceptual understanding of functions, patterns, or sequences including those represented in real-world situations.
- The student demonstrates algebraic thinking.
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Numeration
- The student demonstrates conceptual understanding of real 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.
Fifth Grade
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Number and Operations-Fractions
- Use equivalent fractions as a strategy to add and subtract fractions.
- Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Sixth Grade
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The Number System
- Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Algebra
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Arithmetic with Polynomials and Rational Expressions
- Perform arithmetic operations on polynomials
- Rewrite rational expressions
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Reasoning with Equations and Inequalities
- Understand solving equations as a process of reasoning and explain the reasoning
- Solve equations and inequalities in one variable
Grades 6-8
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Numbers and Operations
- Compute fluently and make reasonable estimates
- Understand meanings of operations and how they relate to one another
Grade 4
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Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra
- COMPETENCY GOAL 1: The learner will read, write, model, and compute with non-negative rational numbers.
Grade 5
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Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra
- COMPETENCY GOAL 1: The learner will understand and compute with non-negative rational numbers.
- COMPETENCY GOAL 5: The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.
Grade 6
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Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra
- COMPETENCY GOAL 1: The learner will understand and compute with rational numbers.
- COMPETENCY GOAL 5: The learner will demonstrate an understanding of simple algebraic expressions.
Grade 7
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Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra
- COMPETENCY GOAL 1: The learner will understand and compute with rational numbers.
- COMPETENCY GOAL 5: The learner will demonstrate an understanding of linear relations and fundamental algebraic concepts.
Technical Mathematics I
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Number and Operations
- Competency Goal 1: The learner will apply various strategies to solve problems.
Integrated Mathematics
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Number and Operations
- Competency Goal 1: The learner will perform operations with numbers and expressions to solve problems.
6th Grade
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Numbers and Operations
- The student will demonstrate through the mathematical processes an understanding of the concepts of whole-number percentages, integers, and ratio and rate; the addition and subtraction of fractions; accurate, efficient, and generalizable methods of multiplying and dividing fractions and decimals; and the use of exponential notation to represent whole numbers.
Grade 5
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Number, Operation, and Quantitative Reasoning
- 2. The student uses fractions in problem-solving situations.
Algebra I
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Foundation for Functions
- 2. The student uses the properties and attributes of functions.
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Linear Functions
- 6. The student understands the meaning of the slope and intercepts of the graphs of linear functions and zeros of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations.
Be Prepared to
- explain the rules of Fraction Quiz
- supervise the weaker students; they may need help remembering how to do the calculations.