Compare and Order and Squares/square roots

Session 1 :
Compare and Order Rational Numbers and Square roots

Lets start with square roots first they are the easier of the two

​Lets me model to you:

What two consecutive numbers does the sqaure root of 18 lie between?

I ask myself these two questions...

1. What is the first number I see????


2. What comes after that number when I am counting?


Answer: I see the number 4........when I am counting the number 5
comes after the number 4. So it will be between 4 and 5

Multiple Choice

12) Which pair of numbers are both between 6 and 7?

Multiple Choice

Between which two whole numbers is the square root of 78?

• 5 and 6

• 7 and 8

• 8 and 9

• 9 and 10

Multiple Choice

Level 2

Identify the letter that best estimates the following square root on the following number line.

√156

• d

• b

• c

• e

Multiple Choice

Level 3: Which point best represents √47?

• A

• D

• E

• F

Multiple Choice

Level 3: Estimate the square root.

• Between 3 and 4 and closer to 3

• Between 2 and 3 and closer to 3

• Between 3 and 4 and closer to 4

• Between 2 and 3 and closer to 2

Hotspot

Which pair of numbers is between 11 and 12?

Which pair of numbers is between -5 and -4 ?
Enter the letter of your choice in the blue box.

Hotspot

Which pair of numbers is between -5 and -4?

Draw

Draw a circle or x on the number line

Dropdown

Between what two consecutive integers does the $$-\sqrt[]{125}$$ lie on the number line?

Between ​ ​

Select answer

and ​ ​

Select answer

Dropdown

$$\sqrt[]{114}$$ is between ​

Select answer

and ​

Select answer

$$\sqrt[]{99}$$ is between​

Select answer

and ​

Select answer

Poll

How do you feel about squares and square roots?

• great! I understrand completely

• ok, but I need more practice

• I give up, I do not understand

Ok. Now lets talk about comparing and ordering numbers

Poll

How do you feel about comparing and ordering rational numbers?

• great! I understrand completely

• ok, but I need more practice

• I give up, I do not understand

Multiple Choice

Convert Percent to a Decimal:
400%

• 400

• .4

• .04

• 4

Multiple Choice

Make the percent to decimal.
7.25%

• 7.25

• 72.5

• 0.725

• 0.0725

Multiple Choice

Ascending means...

• least to greatest

• greatest to least

• average

• mean

Multiple Choice

Descending means...

• below zero

• negative

• least to greatest

• greatest to least

Reorder

Arrange the numbers in Descending Order. Lets do this together.

• $$\sqrt[]{5}$$

• $$2\times10^0$$

• $$1\ \frac{3}{5}$$

• $$1.512$$

1

2

3

4

• 1
• 2
• 3
• 4

Reorder

Arrange the numbers in Decreasing order

• $$0.9$$

• $$\frac{17}{20}$$

• $$60\%$$

1

2

3

• 1
• 2
• 3

Multiple Choice

Which list is in Ascending order? (Convert each number in desmos and create a t chart)

$$4^2,\ \frac{5}{2}\ ,\ 2\ \frac{1}{3}\ ,\ \frac{1}{16}\ ,\ 4.12\ ,\ \sqrt[]{5}$$

• $$\sqrt[]{5},\ \frac{5}{2}\ ,\ 4.12\ ,\ 2\ \frac{1}{3}\ ,\ 4^2\ ,\ \frac{1}{16}$$

• $$\frac{1}{16\ }\ ,\ 2\ \frac{1}{3}\ ,\ \sqrt[]{5},\ \frac{5}{2}\ ,\ 4.12\ ,\ 4^2$$

• $$4^2\ ,\ 4.12\ ,\ \frac{5}{2}\ ,\ 2\ \frac{1}{3}\ ,\ \sqrt[]{5}\ ,\ \frac{1}{16}$$

• $$\frac{1}{16}\ ,\ \sqrt[]{5},\ 2\ \frac{1}{3}\ ,\ \frac{5}{2}\ 4.12\ ,\ 4^2$$

Multiple Choice

Order the following from least to greatest.  
1/2,   2%,    2.1 x 10^-2,      0.20

• 2%, 2.1 x 10^-2, 1/2, 0.20
• 2%, 2.1 x 10^-2, 0.20, 1/2
• 0.20, 1/2, 2%, 2.1 x 10^-2
• 2.1 x 10^-2, 1/2, 0.20, 2%

Reorder

Reorder the following in descending order

• $$\frac{7}{8}$$

• $$-0.087$$

• $$-0.87$$

• $$-87$$

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Select

Select all numbers that are between $$4.37\times10^{-2\ }and\ 2.9$$

• $$\frac{1}{20}$$

• $$3\%$$

• $$3.7\times10^{-3}$$

• $$\sqrt[]{8}$$

• $$3$$

Multiple Select

Select all numbers that are in between $$\frac{10}{3}\ and\ \sqrt[]{27}$$

• $$5\ \frac{1}{5}$$

• $$475\%$$

• $$3.3\times10^0$$

• $$\sqrt[]{15}$$

• $$5.1$$

Multiple Choice

Which shows three equivalent numbers?

• $$40\%,\ \frac{2}{5},\ 0.4$$

• $$7,\ 7\%,\ \frac{7}{100}$$

• $$\frac{3}{5},\ 0.66,\ 66\%$$

• $$0.15,\ \frac{1}{5},\ 15\%$$