Equivalent Fractions: Modeling and Analysis
Delve into the world of equivalent fractions by choosing one from the provided denominator and numerator ratio, finding five additional equivalent fractions, recording them in a data table, and graphing the results. An in-depth reflection explores similarities and differences between graphs, determining steepness/slope, and analyzing ratios of numerators to denominators for learning and discovery.
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Presentation Transcript
What are some fractions equivalent to ? Denominator (x) 2 Numerator (y) 1
Denominator (x) 2 Numerator (y) 1
1. Choose one of the fractions listed below: 2. Write five other fractions equivalent to the fraction you choose. 3. Record your fractions in the table. 4. Graph the data using the paper on your desk (Denominator on x-axis; numerator on y-axis)
Reflection How are the graphs alike? Different? Which graph has the greatest steepness/slope? Why? How can the graph be used to determine numerators and denominators for other equivalent fractions? Examine the ratios of numerator to denominator. What do you notice?
