The Number System
8.NS.A.2
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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.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.
15 Lesson(s)
Exponents and Radicals Unit Assessment Day 1 of 2
8th Grade Math »
Unit: Exponents and Radicals
8th Grade Math »
Unit: Exponents and Radicals
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:
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(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
Simplifying Radical Expressions
Algebra I »
Unit: Quadratic Functions
Algebra I »
Unit: Quadratic Functions
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.
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(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?
First Marking Period Exam
Algebra I »
Unit: Creating Linear Equations
Algebra I »
Unit: Creating Linear Equations
Big Idea:
The first exam of the year is yet another chance for students to see how this course works. It's summative assessment, sure, but everything is formative!
Standards:
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(1)
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(4)
Problem Set: Number Lines
Algebra I »
Unit: Number Tricks, Patterns, and Abstractions
Algebra I »
Unit: Number Tricks, Patterns, and Abstractions
Introducing the Number Line Project
Algebra I »
Unit: The Number Line Project
Algebra I »
Unit: The Number Line Project
Big Idea:
Introducing the year's second project! Hard work and organization are emphasized, and here students learn some structures to promote both.
Standards:
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(28)
Resources
(19)
Workshop Period: The Number Line Project
Algebra I »
Unit: The Number Line Project
Algebra I »
Unit: The Number Line Project
The Number Line Project: More Unit Lines and Finishing Up
Algebra I »
Unit: The Number Line Project
Algebra I »
Unit: The Number Line Project
Big Idea:
Swapping units can change everything about a data display. Students build their background knowledge on this idea by constructing their own number lines for distance conversions.
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(20)
Resources
(13)
Reflections
(1)
Project Collection Day, and an Introduction
Algebra I »
Unit: The Number Line Project
Algebra I »
Unit: The Number Line Project
Review: What Can You Do So Far?
Algebra I »
Unit: Solving Linear Equations
Algebra I »
Unit: Solving Linear Equations
Big Idea:
Just because we worked on it five weeks ago doesn't mean it ceases to exist...
Standards:
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(1)
Resources
(9)
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
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Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
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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