The Real Number System Introduction

The Real Number System

Today's Goal:

I will introduce myself to the value of real numbers in my life.

I will assess what I already know, or need to know about real numbers.

Self-Check:

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.

Poll

Self-Check:

8.NS.A.1

• I am a Novice: I don't understand YET. I am still practicing and learning. I need support

• I am an Apprentice: I understand some parts of the concept. I can do this with support.

• I am a Master: I can do this on my own without help. I understand the concept and can show my understanding.

• I am an Expert: I can use my own words to teach others. I can apply this skill to new situations.

Self-Check:

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

Poll

Self-Check

8.NS.A.2

• I am a Novice: I don't understand YET. I am still practicing and learning. I need support

• I am an Apprentice: I understand some parts of the concept. I can do this with support.

• I am a Master: I can do this on my own without help. I understand the concept and can show my understanding.

• I am an Expert: I can use my own words to teach others. I can apply this skill to new situations.

Self-Check

8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form x²= p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Poll

Self-Check

8.EE.A.2

• I am a Novice: I don't understand YET. I am still practicing and learning. I need support

• I am an Apprentice: I understand some parts of the concept. I can do this with support.

• I am a Master: I can do this on my own without help. I understand the concept and can show my understanding.

• I am an Expert: I can use my own words to teach others. I can apply this skill to new situations.

Open Ended

Where can you find Real Numbers in the real world?

Write your answer in a complete sentence.

Open Ended

Where do you use real numbers in your future job?

Write your answer as:

Teacher: I'll use real numbers when grading classwork assignments.

Prior Knowledge Check

On the next slides, take a moment to try each question. If you don't know that's fine, take your best-educated guess!

Fill in the Blank

Write  $\frac{3}{5}$  as a decimal

Fill in the Blank

Convert  $\frac{8}{25}$  to a decimal

Fill in the Blank

Convert $\frac{15}{20}$  to a decimal 

Multiple Choice

2.4563 is an example of what type of decimal?

• terminating

• repeating

Fill in the Blank

Write  $\frac{4}{10}$ as a decimal

Fill in the Blank

Write  $\frac{3}{8}$ as a decimal

Multiple Choice

Point B could represent which of the following numbers?

• √24

• √30

• √35

• √42

Multiple Choice

∛125

• 5

• 4

• -5

• -4

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

• 5x3

• 5⁴

• 4⁵

• 5x4

Fill in the Blank

Evaluate. 7³

Fill in the Blank

Evaluate

√36

Poll

How do you feel about lessons being in Quizizz, with questions being embedded?

Today's Quiz Question

• I like it better than doing together slides in sheets

• I don't like it, but it is better than doing the together slide in the sheets

• I don't like it, don't want to do it, and will explain why in the chat

• I have a different answer, and would like to explain in the chat