Approximating the Value of Irrational Numbers
T.i.P.S.
Students should use their prior knowledge of numbers from previous grade levels to estimate the values of irrational numbers. Irrational numbers cannot be written in the form a/b as itis a non-terminating, non-repeating decimal. Students should know the perfect squares (1 to 15) in order to approximate the value of irrational numbers. Irrational numbers would include π, as well as square roots of numbers that are not larger than 225.
Example
Victor is building a square patio in his backyard. The area of the patio is 150 square feet. Using a number line to show your answer, what is the length of each side rounded to the nearest tenth?
Digital Tools
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Resources
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TEKS
Supporting Standard8.2 Number and operations. The student applies mathematical process standards to represent and use real numbers in a variety of forms. The student is expected to:
(B) approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line
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