The Number System
8.NS.A.1
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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^{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.
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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.
13 Lesson(s)
Irrational (and Other!) Numbers on the Number Line
Algebra I »
Unit: The Number Line Project
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!
Standards:
Favorites
(42)
Resources
(20)
Exponents and Radicals Unit Assessment Day 1 of 2
8th Grade Math »
Unit: Exponents and Radicals
8th Grade Math »
Unit: Exponents and Radicals
Units and Vast Systems of Measurement
8th Grade Math »
Unit: Scale of the Universe: Fluency and Applications
8th Grade Math »
Unit: Scale of the Universe: Fluency and Applications
Rational or Irrational (Day 1 of 2)
8th Grade Math »
Unit: Number Sense
8th Grade Math »
Unit: Number Sense
Rational or Irrational (Day 2 of 2)
8th Grade Math »
Unit: Number Sense
8th Grade Math »
Unit: Number Sense
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.
Standards:
Favorites
(14)
Resources
(8)
Reflections
(1)
Operation Rational Irrational Numbers
8th Grade Math »
Unit: Relationships between Quantities/Reasoning with Equations
8th Grade Math »
Unit: Relationships between Quantities/Reasoning with Equations
What's Rational About That? Day 3
8th Grade Math »
Unit: So What's Rational About That?
8th Grade Math »
Unit: So What's Rational About That?
What's Rational About That? Day 4
8th Grade Math »
Unit: So What's Rational About That?
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.
Favorites
(4)
Resources
(12)
Reflections
(1)
What's Rational About That? Day 5
8th Grade Math »
Unit: So What's Rational About That?
8th Grade Math »
Unit: So What's Rational About That?
Formative Assessment: Scientific Notation
8th Grade Math »
Unit: How Big? How Small?
8th Grade Math »
Unit: How Big? How Small?
Adding and Subtracting in Scientific Notation
8th Grade Math »
Unit: Scale of the Universe: Fluency and Applications
8th Grade Math »
Unit: Scale of the Universe: Fluency and Applications
Common Core Math
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School