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- 8.NS.A.1Know 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.
- 8.NS.A.2Use 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<sup>2</sup>). For example, by truncating the decimal expansion of √2 (square root of 2), show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

Irrational (and Other!) Numbers on the Number Line

Algebra I

» Unit:

The Number Line Project

Big Idea:In addition to continuing with their work, students learn one of my favorite closing structures: appreciations!

Exponents and Radicals Unit Assessment Day 1 of 2

8th Grade Math

» Unit:

Exponents and Radicals

Big Idea:Assess mastery of exponents, radicals, and scientific notation through a variety of high level questions

Units and Vast Systems of Measurement

8th Grade Math

» Unit:

Scale of the Universe: Fluency and Applications

Big Idea:We can use our intuition and understanding of exponents and scientific notation to decipher the units in any system of measurement.

Rational or Irrational (Day 1 of 2)

8th Grade Math

» Unit:

Number Sense

Big Idea:Every number expands infinitely. The repeating digit may be zero, which means the number terminates, or another digit pattern.

Rational or Irrational (Day 2 of 2)

8th Grade Math

» Unit:

Number Sense

Big Idea:Every number expands infinitely. The repeating digit may be zero, which means the number terminates, or another digit pattern.

Day Four & Five

8th Grade Math

» Unit:

Welcome Back!

Big Idea:To help guide instruction for the year and establish a baseline for quarterly benchmark assessments, students will take a benchmark test aligned to the CCSS.

Operation Rational Irrational Numbers

8th Grade Math

» Unit:

Relationships between Quantities/Reasoning with Equations

Big Idea:Real numbers are either rational or irrational. But do we know the nature of sums and products of these real numbers?

Round Robin Review (Unit 1)

8th Grade Math

» Unit:

Number Sense

Big Idea:Tackling questions in Round Robin fashion is a great way to review and practice for standardized exams.

What's Rational About That? Day 3

8th Grade Math

» Unit:

So What's Rational About That?

Big Idea:Students will get practice truncating the decimal expansions of non-perfect square numbers in order to accurately place them on a number line.

What's Rational About That? Day 4

8th Grade Math

» Unit:

So What's Rational About That?

Big Idea:Often times, students need several exposures to material before it begins to sink in. Today, we will play an online sorting game in teams to provide that needed practice identifying rational and irrational numbers before manipulating them mathematically.

What's Rational About That? Day 5

8th Grade Math

» Unit:

So What's Rational About That?

Big Idea:Today's activity will give students the opportunity to solidify their understanding of rational and irrational numbers by creating sorting cards for their partners. This activity will serve as a quiz review.

Formative Assessment: Scientific Notation

8th Grade Math

» Unit:

How Big? How Small?

Big Idea:Students will demonstrate their knowledge on this formative assessment covering the major concepts of scientific notation including expressions and operations.

Adding and Subtracting in Scientific Notation

8th Grade Math

» Unit:

Scale of the Universe: Fluency and Applications

Big Idea:Place value can help us quickly add and subtract numbers in scientific notation

8.NS.A.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.

8.NS.A.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}). For example, by truncating the decimal expansion of √2 (square root of 2), show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.