ALEX Lesson Plans
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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: Rational or Irrational? That is the question.
Description:
Students will participate in an activity that will help them obtain a feeling of how numbers are related to each other. They will determine whether a number is rational or irrational. Students will also be able to order rational and irrational numbers on a number line.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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]
Subject: Mathematics (8)
Title: Rational or Irrational? That is the question.
Description: Students will participate in an activity that will help them obtain a feeling of how numbers are related to each other. They will determine whether a number is rational or irrational. Students will also be able to order rational and irrational numbers on a number line.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: The Real Number System
Description:
This lesson focuses on a clear understanding of the real number system by using a variety of teaching strategies. A graphic organizer on a slideshow illustrates how the classifications of numbers relate. A kinesthetic activity helps students compare the classifications.
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]
Subject: Mathematics (8)
Title: The Real Number System
Description: This lesson focuses on a clear understanding of the real number system by using a variety of teaching strategies. A graphic organizer on a slideshow illustrates how the classifications of numbers relate. A kinesthetic activity helps students compare the classifications.
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
Web Resources
Interactives/Games
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Title: Rational or Irrational?
Description:
Rational or Irrational is a game that requires students to quickly decide if a number is rational or irrational.
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]
Rational or Irrational?
http://www.mathplay...
Rational or Irrational is a game that requires students to quickly decide if a number is rational or irrational.
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Title: Square Root Millionaire
Description:
Play this exciting square roots game to sharpen your skills about adding, subtracting, multiplying, dividing, simplifying, estimating, and graphing expressions with radicals. The Square Root millionaire game has a singleplayer feature and a multiplayer option. When using this game in the classroom as a contest between two teams, scores can be modified at any point by clicking in the score box of any team and editing the numbers.
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]
Square Root Millionaire
http://www.mathplay...
Play this exciting square roots game to sharpen your skills about adding, subtracting, multiplying, dividing, simplifying, estimating, and graphing expressions with radicals. The Square Root millionaire game has a singleplayer feature and a multiplayer option. When using this game in the classroom as a contest between two teams, scores can be modified at any point by clicking in the score box of any team and editing the numbers.
Learning Activities
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Title: Square Root Millionaire
Description:
Play this exciting square roots game to sharpen your skills about adding, subtracting, multiplying, dividing, simplifying, estimating, and graphing expressions with radicals. The Square Root millionaire game has a singleplayer feature and a multiplayer option. When using this game in the classroom as a contest between two teams, scores can be modified at any point by clicking in the score box of any team and editing the numbers.
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]
Square Root Millionaire
http://www.mathplay...
Play this exciting square roots game to sharpen your skills about adding, subtracting, multiplying, dividing, simplifying, estimating, and graphing expressions with radicals. The Square Root millionaire game has a singleplayer feature and a multiplayer option. When using this game in the classroom as a contest between two teams, scores can be modified at any point by clicking in the score box of any team and editing the numbers.
Teacher Tools
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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.

