G8

Copyright © Swun Math Grade 8 Unit 1 Lesson 8 P TE

Compare & Order Irrational

Numbers

Procedural Lesson

Grade 8 · Unit 1 · Lesson 8
MC: 8 .NS. 2

Problem of the Day

Objective: I will compare and order sets of rational and irrational numbers.

Vocabulary Teacher Resources

Irrational Numbers: the set of all numbers

that cannot be written as a ratio of two

integers; cannot be written as a simple

fraction because the decimal is non-

terminating and non-repeating

0.101101110... , �^23 ,π,√ 10 ,√1.6,−√ 123

Considerations:

Some students may need a quick review of converting

decimals to fractions and vice versa. Remind

students the values on the number line decrease to

the left of the zero. Practice comparing with integers

only, if needed.

Steps:

1. Estimate irrational number(s) and plot on a
   number line.


2. Place rational number(s) on the number line.


3. Compare the numbers.

Application of MPs:

MP2: Why do we go to the same place value when

comparing numbers?

When comparing numbers, we find a common

denominator or go to the same place value

because_________________________________.

MP6: What mathematical language can you use to

describe the process of comparing irrational

numbers?

The mathematical language I would use to compare

irrational numbers would include

___________________________.

1 2 3 4 5 6 7 8

*  * * * *

MPs

Applied MP

* Embedded MP

Student Journal Pages

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