Rational and Irrational Numbers

Rational and Irrational Numbers

Learning Targets for this Unit

​Level 1 students should be able to identify square roots of numbers less than 100; identify pi as irrational; and understand that every rational number has a decimal expansion

Level 2 students should be able to identify approximate locations of familiar irrational numbers on a number line; identify numbers as rational or irrational; and convert between fractions and terminating decimals.

Level 3 students should be able to use rational approximations of irrational numbers to locate them on a number line and to make numerical comparisons; convert between fractions and repeating decimals; and compare rational numbers.

Level 4 students should be able to approximate irrational numbers to a specified level of precision and should be able to use the approximations to solve problems or estimate the value of an expression.

Real numbers are all numbers, no matter if their positive or negative. This includes fractions, decimals and whole numbers.

​Integer is a whole number that is positive or negative.

NOTE: The denominator (bottom number in the fraction) cannot be zero.

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Math Response

How would you write 16 as a ratio?

Type answer here

Correct Answer: \frac{16}{1}

Deg^°

Rad

Math Response

How would you write -8 as a ratio?

Type answer here

Correct Answer: \frac{-8}{1}

Deg^°

Rad

Open Ended

What is $$\sqrt[]{17}$$ ?

Categorize

Options (5)

5

0.7

.6666.....

$$\frac{3}{4}$$  

.485748483893920045045838....

Which of these are rational numbers?

Rational

Irrational

Categorize

Options (11)

$$\sqrt[]{64}$$  

0.8

$$\sqrt[]{32}$$  

$$\pi$$  

$$\frac{12}{5}$$  

$$\sqrt[]{75}$$  

2.343443444....

$$\sqrt[]{121}$$  

$$\sqrt[]{49}$$  

-19

0

Are these numbers rational or irrational?

Rational

Irrational

​

​Integers (positve and negative whole numbers)


Fractions (proper and improper)


Decimals (terminating (0.5, repeating (27/99 = .272727), and recurring (.3333...)


Square roots (perfect and non-perfect)

Draw

Locate -1.5, $$\sqrt[]{25}$$ , $$\frac{3}{4}$$ and $$\sqrt[]{19}$$ on the number line

Awesome video on irrational vs rational numbers