The Number SystemUnit 4, Lesson 3

January 27th, 2015 April 28, 2015

DO Now (3 mins) Prior Knowledge Box (PKB)

Topic: The Number System Misconceptions

Write about what you know about the topic above.

Standards

N.RN The Real Number System

Extend the properties of exponents to rational exponents.

2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Use properties of rational and irrational

3. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

Objective

Huskies will be able to:

•Explain the number system by using key terms, rational and irrational

•Classify numbers as rational and irrational

Huskies will show mastery by earning a 3 out of 4 on the exit slip.

The Number System

ExplorationGive an example of each type:

•Integer

•Rational Number

•Real Number

•The difference between an integer and rational number

•The difference between a rational number and a real number

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Video: The Number System

Things to think about…

•What does it mean to be closed under?

•Why were rational numbers created?

•Why were real numbers created?

Interactive Card Match

On Slide 5 of Unit 4, Lesson 3, sort the number cards by type:

• repeating decimals

• non-terminating decimals

• non-repeating decimals

Which numbers are rational and which are irrational?

Example

a.) b.) c.) 557 0.575...

You Try

a.) b.) c.) 5 5 + 7 102

Independent Practice

Complete Lesson 3: The Number System

Try the Challenge Problem if you finish with extra time!

Math & Writing

Using the following prompt, write half a page:

Explain what you know about rational numbers and real numbers (which include irrational numbers).

Write about which operations are closed under rational and real numbers. Used you work to support your conclusions.

Prior Knowledge Box (PKB)

Topic: The Number System Misconceptions

What did you think you knew about radicals but found out was a misconception? If you didn’t have

any prior knowledge, what did you learn/review about simplifying

radicals?

Exit Slip Unit 4, Lesson 3

Classify the following as irrational or rational number.

1.

2.

3.

4.

π10232.33