Warm Up Simplify each square root 1.√8 2.√12. Week at a Glance Monday: Rational and irrational numbers Tuesday: Simplifying Square Roots with numbers.

Slides:

Advertisements

Similar presentations

1.3 FRACTIONS REVIEW Variables-letters that represent numbers

Advertisements

Activator 1. Evaluate y^2 / ( 3ab + 2) if y = 4; a = -2; and b = Find the value: √17 = 0.25 x 0 = 6 : 10 =

Warm Up Simplify each expression. 1. 6²

1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.

Properties of Addition and Multiplication By Stephanie Lohr.

REAL RATIONAL NUMBERS (as opposed to fake numbers?) and Properties Part 1 (introduction)

What is the difference between a line segment and a line?

Chapter 1 Foundations for Algebra

Real Numbers Week 1 Topic 1.

Chapter 1 Learning Target: 10

Algebra 1 Notes Warm Up 1. If y = 16, y – 3.6 = ____ 3. = ____

Operations: Add, Subtract, Multiply, Divide

Warm up Determine if the set finite or infinite: 1. {Even numbers greater than 4, but less than 100} 2. {odd numbers} 3.{Fractions less than 1} is.

1–2: Properties of Real Numbers. Counting (Natural) Numbers {1, 2, 3, 4, 5, …}

1 -2 Properties of Real Numbers. Types of Numbers  Often, numbers are grouped or classified as specific types of numbers. We will explore the following.

Section P-1 What are the properties of real numbers?

REAL NUMBERS. Objective- To recognize symbols, variables, and types of sentences used in algebra. Equalities Inequalities = Equals- is the same as < Is.

Properties 1. Commutative Property Commutative Property of Addition and Multiplication- -changing the order in which you add does not change the sum.

September 10, 2012 Properties and Integers Warm-up: Order of Operations 1. Simplify (3 – 5) – 4  (Optional) Challenge: Your objective is.

OTCQ Using [-11, 0) Write its associated: 1) inequality, or 2) set in braces, or 3) number line. (for integers only)

1-1 Properties of Real Numbers

Properties of Real Numbers Algebra A Unit 1, Lesson 4.

Properties of Real Numbers The properties of real numbers allow us to manipulate expressions and equations and find the values of a variable.

Real numbers In algebra, we work with the set of real numbers, which we can model using a number line. Real numbers describe real-world quantities such.

Review for Test #2 Rational Numbers and Irrational Numbers Real Numbers Powers and Exponents Scientific Notation.

Vocab Variable (1-1): Letter(s) used to represent numbers; Change or unknown Evaluate(1-1): Find value of x y z Sections 1-1 to 1-5 Notes.

September 11, 2012 Properties and Integers Warm-up: Order of Operations 1.Simplify (3 – 5) – 4  Challenge: Your objective is to use the digits.

Section P-1 What are the properties of real numbers?

Ch 1.1 Warm Up Problems Objectives: - understand/use properties & classifications of real numbers.

1–1: Number Sets. Counting (Natural) Numbers: {1, 2, 3, 4, 5, …}

Properties for Real Numbers Rules that real numbers follow.

Complex Number Systems and Simplifying Algebraic Expressions Critical Thinking Skill: Demonstrate Understanding of Concepts.

1.2 Properties of Real Numbers Activity

Properties of Algebra By: Zoe Gaffney. Associative Property Associative Property is when you change the numbers that are in the parenthesis. Example:

Real Number and the number Line. Number System Real numbers: is number that can be positive or negative and have decimal places after the point. Natural.

Analyzing Equations and Inequalities Objectives: - evaluate expressions and formulas using order of operations - understand/use properties & classifications.

Commutative and Associative Properties

Axioms for Rational Numbers 9/14-9/15. Natural Numbers – Numbers used for counting: 1, 2, 3, and so on. Whole Numbers – Natural numbers and zero: 0, 1,

1-1 Properties of Real Numbers Big Idea: -Graph, order, identify, and use properties of real numbers.

Math Properties A property is something that is true for all situations.

Combining Like Terms You can only combine terms that have EXACTLY the same variable parts. Ex:1)2x + 3x 2)10n + 3n 2 + 9n 2 3)10x – 4(x 2 – 2x) = 5x.

The set of real numbers consists of the set of rational numbers and the set of irrational numbers. Irrational numbersRational numbers Real Numbers Integers.

REAL NUMBER SYSTEM Number Systems Real Rational (fraction) Irrational Integer Whole Natural.

Algebra 2 Properties of Real Numbers Lesson 1-2 Goals Goal To graph and order real numbers. To Identity properties of real numbers. Rubric Level 1 –

REAL RATIONAL NUMBERS (as opposed to fake numbers?) and Properties Part 1 (introduction)

(as opposed to fake numbers?)

Properties of Real Numbers

Opener/Warm Up #1 (8/25/10) Complete the following…show work

1.2 Properties of Real Numbers

Properties of Addition and Multiplication

What are integers? Whole numbers Untouched

Real Numbers and Their Properties

Drill #3 Evaluate each expression if a = 6, b = ½, and c =

NUMBERS Different Kinds and Properties Part 1 (introduction)

Properties of Real Numbers

Mathematic Properties Review

Order of Operations & Real Numbers

Write each fraction as a decimal.

Properties of Real Numbers

Sections 1-1 to 1-5 Notes x y z Vocab

Properties of Addition and Multiplication

(as opposed to fake numbers?)

Objectives Evaluate expressions containing square roots.

Analyzing Equations and Inequalities

Properties of Operation

Properties of Addition and Multiplication

Properties of Addition and Multiplication

Properties of Addition and Multiplication

Write each fraction as a decimal.

Presentation transcript:

Warm Up Simplify each square root 1.√8 2.√12

Week at a Glance Monday: Rational and irrational numbers Tuesday: Simplifying Square Roots with numbers Wednesday: Simplifying Square roots with variables Thursday: Operations with square roots/review Friday: Quiz

Warm Ups 10 points each day 1. Write down the question 2. Show work (if you can) 3. Correct answer *Use your warm ups as a second study guide

Useful Tools 1. Website: mskristaevans.wordpress.com  Daily PowerPoints  Important upcoming dates  Test information-study guide answers 2. Remind 101 To: (470)

EOCT Practice One question a day We will have a winner each week- reward will be given

EOCT QUESTION 1 1. In the diagram, ABC ~ DEF. Find length DF. a. 14.4b. 16.5c. 18.8d. 28.2

Part I-Classifying What is a number? How do you classify it?

Natural Numbers Natural numbers are the counting numbers: 1, 2, 3, …

Whole Numbers are the natural numbers and zero: 0, 1, 2, 3, …

Integers are whole numbers and their opposites: –3, –2, –1, 0, 1, 2, 3, …

Rational Numbers Are all integers, fractions, terminating decimals, square roots of perfect squares: -3, ½, 5, 8.74,

Irrational Numbers Can’t be expressed as a fraction or whole number. They include: Square roots of non-perfect squares Π, e, Non-terminating decimals

After the game show…Keeping it straight! Natural NumbersIntegers Irrational Whole NumbersRational Numbers

Part II-Properties Multiplication and Addition

1. Commutative Property Commutative Property of Addition-- changing the order in which you add does not change the sum. So, More Examples:

Commutative Property Commutative Property of Multiplication-- changing the order in which you multiply numbers doesn’t change the product. So, More Examples:

2. Associative Property Associative Property of Addition-- changing the way the numbers are grouped does not change the sum. Add parenthesis to show Associative Property So,

Associative Property Associative Property of Multiplication-- changing the way the numbers are grouped does not change the product. Add parenthesis to show Associative Property

3. Identity Property Identity Property of Addition-- if you add zero to a number, you get the same number! 0 is called the identity of addition!!

Identity Property Identity Property of Multiplication-- if you multiply a number by 1, you get the same number! 1 is called the identity of multiplication!!

4. Inverse Property Inverse Property of Multiplication-- a number multiplied by its reciprocal equals 1.

Inverse Property Additive Inverse Property--a number plus its opposite equals 0.

5. Distributive Property A number outside parenthesis gets multiplied by every number inside parenthesis.

Identify the Property Commutative Prop. Of Multiplication Identity Prop. Of Addition Associative Prop. Of Addition Identity Prop. Of Multiplication

Part III-Order of Operations

When we say the word OPERATION What are we talking about? What are some “Operations” in math? How can we remember what order to do them in? Does it matter?

Do you remember PEMDAS?!?! P: “PHUNKY” stuff: Parentheses, Brackets, Braces, square Roots, and Absolute Value E: Exponents M/D: Multiplication/Division A/S: Addition/Subtraction

Example #1

Example 2