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One Grain Of Rice: A Mathematical Folktale
Discipline
Mathematics
Grades
5, 6, 7, 8, 9, 10
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Professional Commentary

Entries on the Ohio Resource Center Mathematics Bookshelf, the books One Grain of Rice and The King's Chessboard tell the same classic tale of the astounding effect of doubling a single grain of rice each day over a period of 30 days. In The King's Chessboard the protagonist is a wise man and the quantity of rice is analyzed in terms of weight. In One Grain of Rice the protagonist is a young girl and the quantity of rice is analyzed in terms of the number of grains. Both books are beautifully illustrated. (sw)


Ohio Mathematics Academic Content Standards (2001)
Patterns, Functions and Algebra Standard
Benchmarks (5–7)
L.
Analyze functional relationships, and explain how a change in one quantity results in a change in the other.
Benchmarks (8–10)
D.
Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations.
Grade Level Indicators (Grade 5)
6.
Describe how the quantitative change in a variable affects the value of a related variable; e.g., describe how the rate of growth varies over time, based upon data in a table or graph.
Grade Level Indicators (Grade 6)
7.
Identify and describe situations with constant or varying rates of change, and compare them.
Grade Level Indicators (Grade 7)
10.
Analyze linear and simple nonlinear relationships to explain how a change in one variable results in the change of another.
Grade Level Indicators (Grade 8)
7.
Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems.
Grade Level Indicators (Grade 9)
3.
Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations.
Grade Level Indicators (Grade 10)
10.
Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.
Principles and Standards for School Mathematics
Algebra Standard
Use mathematical models to represent and understand quantitative relationships
Expectations (6–8)
model and solve contextualized problems using various representations, such as graphs, tables, and equations.
Expectations (9–12)
draw reasonable conclusions about a situation being modeled.