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Title: What's My Number  How to estimate the square root of a number that is not a perfect square
Description:
In this lesson, eighth grade students will learn the steps necessary to approximate the square roots of numbers that are not perfect squares. Students will use a number line as a visual aid to complete this task.
Standard(s): [MA2013] (8) 1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8NS1] [MA2013] (8) 2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π^{2}). [8NS2]
Subject: Mathematics (8)
Title: What's My Number  How to estimate the square root of a number that is not a perfect square
Description: In this lesson, eighth grade students will learn the steps necessary to approximate the square roots of numbers that are not perfect squares. Students will use a number line as a visual aid to complete this task.
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Title: The Elephants Truncate Roots
Description:
Students will learn the process of finding where the square root of 2 is on the number line by truncating the square of a number between 1 and 2. They will also work with other square roots to learn how to order them on the number line. The process can be done with a calculator, or with the attached spreadsheet.
Standard(s): [MA2013] (8) 2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π^{2}). [8NS2]
Subject: Mathematics (8)
Title: The Elephants Truncate Roots
Description: Students will learn the process of finding where the square root of 2 is on the number line by truncating the square of a number between 1 and 2. They will also work with other square roots to learn how to order them on the number line. The process can be done with a calculator, or with the attached spreadsheet.
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Title: Those number aren't just moody. They're completely irrational!!
Description:
Rational numbers can sometimes cause problems when they're converted to repeating decimals. That, we can handle. But, what about those irrational numbers that can only be "sort of, like approximated"? How can we expect students to compare their values, much less graph them on a number line?
Standard(s): [MA2013] (8) 2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π^{2}). [8NS2]
Subject: Mathematics (8)
Title: Those number aren't just moody. They're completely irrational!!
Description: Rational numbers can sometimes cause problems when they're converted to repeating decimals. That, we can handle. But, what about those irrational numbers that can only be "sort of, like approximated"? How can we expect students to compare their values, much less graph them on a number line?
Thinkfinity Lesson Plans
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Title: Approximations of Pi
Description:
This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [MA2013] (8) 1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8NS1] [MA2013] (8) 2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π^{2}). [8NS2] [MA2013] GEO (912) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments. [GGMD1] [MA2013] MI1 (912) 4: Explain the development and uses of sets of numbers, including complex, real, rational, irrational, integer, whole, and natural numbers. (Alabama) [MA2013] AM1 (912) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)
Subject: Mathematics Title: Approximations of Pi
Description: This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Algebra.Help
Description:
Lesson plans,calculators, worksheets and everything else to help with teaching algebra.
Standard(s): [MA2013] (8) 1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8NS1] [MA2013] (8) 2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π^{2}). [8NS2] [MA2013] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8EE5] [MA2013] (8) 9: Solve linear equations in one variable. [8EE7] [MA2013] AL1 (912) 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [NRN1]
Algebra.Help
http://algebrahelp.c...
Lesson plans,calculators, worksheets and everything else to help with teaching algebra.

