Connecting the Circle Area Model to the Linear Model
- Edward Knote
In the following worksheet we are considering the circle as a whole unit. the circle is broken into d pieces and n of them are shaded. Use the sliders d and n to form different fractions being sure to set the d (denominator) slider first then set the n (numerator) slider second. You move the orange point, labeled estimate, on the line segment, or linear model, as well as change the position of the roller slider to answer the questions below the dynamic construction. Finally use the check boxes as hints and to check your work.
Create different fractions by moving the n and d sliders and for each fraction perform the following tasks and answer the questions: 1) What is the fraction represented you created? 3) Place the orange point label estimate approximately where n/d should be marked between 0 and 1. 4) Is your fraction in simplest form? If not what is the simplified form for the fraction you created? 5) Compare and contrast the circle model of a fraction and the linear model of fraction?