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., π2). 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
Christa  Lemily
Bowling Green, KY
Environment: Suburban
 
Big Idea:

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

 
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Resources (9)
test analysis lessom image
   

Day Four & Five

8th Grade Math » Unit: Welcome Back!
8th Grade Math » Unit: Welcome Back!
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
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.

 
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Resources (8)
 
Reflections (1)
graph
   

Operation Rational Irrational Numbers

8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

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

 
Favorites (36)
 
Resources (14)
operation image
   

Simplifying Radical Expressions

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

Students need to understand that radical expressions really represent an irrational number and be able to estimate its value.

 
Favorites (7)
 
Resources (16)
 
Reflections (1)
simplifying radicals image resized
   

Round Robin Review (Unit 1)

8th Grade Math » Unit: Number Sense
8th Grade Math » Unit: Number Sense
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

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

 
Favorites (3)
 
Resources (13)
 
Reflections (1)
kagan
   

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?
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
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.

 
Favorites (3)
 
Resources (11)
 
Reflections (1)
pic
   

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?
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
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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Resources (12)
 
Reflections (1)
rat and irrat online game
   

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?
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
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.

 
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Resources (13)
 
Reflections (1)
pigraphic
   

Problem Set: Number Lines

Algebra I » Unit: Number Tricks, Patterns, and Abstractions
Algebra I » Unit: Number Tricks, Patterns, and Abstractions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

A number line gives us a way to visualize order of operations, bridging the gap between abstract and quantitative reasoning . As we begin, students pay close attention to scale.

 
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Resources (16)
 
Reflections (1)
notes on problem sets
   

Introducing the Number Line Project

Algebra I » Unit: The Number Line Project
Algebra I » Unit: The Number Line Project
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Introducing the year's second project! Hard work and organization are emphasized, and here students learn some structures to promote both.

 
Favorites (25)
 
Resources (19)
u1l13 opener
   

Workshop Period: The Number Line Project

Algebra I » Unit: The Number Line Project
Algebra I » Unit: The Number Line Project
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Students continue their work on the Number Line Project by staying organized, thoughtfully defining their tasks, and getting done what they need to do.

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
u1l19 working on nlp 1
   

The Number Line Project: More Unit Lines and Finishing Up

Algebra I » Unit: The Number Line Project
Algebra I » Unit: The Number Line Project
James Dunseith
Worcester, MA
Environment: Urban
 
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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Resources (13)
 
Reflections (1)
nlp part 3b student work
   

Project Collection Day, and an Introduction

Algebra I » Unit: The Number Line Project
Algebra I » Unit: The Number Line Project
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

One of my goals this year is to cultivate in students an ability to explain what they've learned. Today's reflection serves as a baseline assessment in that work.

 
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reflection example
   

Review: What Can You Do So Far?

Algebra I » Unit: Solving Linear Equations
Algebra I » Unit: Solving Linear Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Just because we worked on it five weeks ago doesn't mean it ceases to exist...

 
Resources (9)
what can you do so far
   

First Marking Period Exam

Algebra I » Unit: Creating Linear Equations
Algebra I » Unit: Creating Linear Equations
James Dunseith
Worcester, MA
Environment: Urban
 
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!

 
Favorites (1)
 
Resources (4)
unit 1 exam 2013
Common Core Math
 
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