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Common Core: Standard
Common Core: ELA
Common Core: Math
Subject: Math
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 Grade 8 Module 7: Introduction to Irrational Numbers Using Geometry Module 7 begins with work related to the Pythagorean Theorem and right triangles. Before the lessons of this module are presented...

 Student Outcomes Students know that when the square of a side of a right triangle represented as a2, b2, c2 or is not a perfect square, they can estimate the side length as between two integers and...

 Student Outcomes Students know that for most integers n, n is not a perfect square, and they understand the square root symbol. Students find the square root of small perfect squares. Students...

 Student Outcomes Students know that every number has a decimal expansion (i.e., is equal to a finite or infinite decimal). Students know that when a fraction has a denominator that is the product of...

 Student Outcomes Students know the intuitive meaning of an infinite decimal.

 Student Outcomes Students know that the long division algorithm is the basic skill to get divisionwithremainder and the decimal expansion of a number in general. Students know why digits repeat in...

 Student Outcomes Students apply knowledge of equivalent fractions, long division, and the distributive property to write the decimal expansion of fractions.

 Student Outcomes Students know the intuitive reason why every repeating decimal is equal to a fraction. Students convert a decimal expansion that eventually repeats into a fraction. Students know...

 Student Outcomes Students use rational approximation to get the approximate decimal expansion of numbers like the square root of 3 and the square root of 28. Students distinguish between rational and...

 Student Outcomes Students apply the method of rational approximation to determine the decimal expansion of a fraction. Students relate the method of rational approximation to the long division...

 Student Outcomes Students use rational approximations of irrational numbers to compare the size of irrational numbers. Students place irrational numbers in their approximate locations on a number...

 Student Outcomes Students calculate the decimal expansion of pi using basic properties of area. Students estimate the value of expressions such as pi2.

 In Topic A, students learn the notation related to roots (8.EE.A.2). The definition for irrational numbers relies on students’ understanding of rational numbers, that is, students know that rational...

 In Topic B, students learn that to get the decimal expansion of a number (8.NS.A.1), they must develop a deeper understanding of the long division algorithm learned in Grades 6 and 7 (6.NS.B.2, 7.NS....