Fraction Friday!

• 1. 3.

• 2. 4.

• 5. Use grouping symbols to make the following equation true. 53 5 + 20 = 5

4

1

3

2

6

2

2

1

7

2

3

5

2

5

3

2

Warm-Up

• 1. If the pattern continues, which will be the first figure to contain more than 200 square units? Explain.

• 2. Use grouping symbols to make the following equation true. 120+10÷2=65

Homework Review

• P. 13 # 10-32E, 36-42E, 46-52E, 55

• 10. 64

• 12. 100,000,000

• 14. 1/16

• 16. 2401

• 18. 11

• 20. 18

• 22. 92

• 24. 6

• 26. 322

• 28. 30

• 30. 512

• 32. 0

• 36. a) 24 in3 b) 2.0 in3

• 38. 36

• 40. 55/8

• 42. 70/9

• 46. 1.75

• 48. 196

• 50. 33

• 52. 5/9

• 55. 20; 14 – 5(3) + 32

1.3 Real Numbers and the Number Line

SWBAT classify real numbers

SWBAT approximate square roots

Square Root

• A number a is a square root of a number b if a2 = b

• In other words, if you’re looking for the square root of a number you are asking yourself what number can be multiplied by itself to get the original number

• Ex: 7 is the square root of 49 because 72 = 49

Radical

• The mathematical symbol for a square root is called a radical and looks like this

Examples

81

164

99

4 2

3

Perfect Squares

• Notice that all of these answers came out to be whole numbers, that is because the numbers under the radical was a perfect square

• Perfect Squares:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 169, 196…

Estimate

• In your groups and without a calculator, estimate

• Be prepared to explain how you figured it out

35

Sets

• You can classify numbers using sets.

• A set is a defined collection of objects

• For example, if you were looking at the set of people that use Twitter in our class it would include everyone except Mrs. DeSmith.

Sets of Numbers

• Natural Numbers: 1, 2, 3, …

• Whole Numbers: 0, 1, 2, 3, …

• Integers: … -2, -1, 0, 1, 2, 3…

• Rational Numbers: any number that can be written as a fraction

• Irrational Numbers: any decimal that goes on forever without a pattern or repetition

Venn Diagram

• A Venn Diagram shows relationships between sets of objects

• Example: Cats

Dogs

Spotted Dogs

Dogs with long tailsDalmatian

s

Group Work

• In your groups, come up with a Venn Diagram that shows how the sets of numbers relate.

Examples

• Name the subset(s) of the real numbers to which each number belongs

• 2/3

• -1

• √3

Inequalities

• When comparing numbers that are unequal we can use inequality symbols

• <, ≤ , > ,≥

Example

• Compare the numbers using an inequality symbol

184 ...56987.15

Ordering

Homework

• P.20 #9-13, 19-23, 39-42, 45-46, 52-54E