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Chapter 1.1 Common Core – A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. Objectives – To write algebraic expressions

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Ch 1.1 Notes Quantity – is anything that can be measured or counted. Variable – is a symbol, usually a letter, that represents the value of a variable quantity. Algebraic Expression – is a mathematical phrase that includes one or more variable. Numberical Expression – is a mathematical phrase involving numbers and operation symbols, but no variables.

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Chapter 1.2 Common Core – A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. Objectives – To simplify expressions involving exponents. To use the order of operations to evaluate expressions.

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**Ch 1.2 Notes 𝒙 𝟓 Power – has two parts, a base and an exponent.**

Exponent – tells you how many times to sue the base as a factor. Base – is the number that is multiplied repeatedly. 𝒙 𝟓 Simplify – a numerical expression when you replace it with its single numerical value. Evaluate – an algebraic expression by replacing each variable with a given number and then simplify it

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Order of Operations Please – Excuse – My – Dear – Aunt – Sally -

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Chapter 1.3 Common Core – N.RN.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational. Objectives – To classify, graph, and compare real numbers. To find and estimate square roots.

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Ch 1.3 Notes Radical symbol 𝑎 Radicand Radical – is both the radical symbol and the radicand Set – is a well-defined collection of objects. Each object is called an element of the set. Subset – consists of element form the given set.

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**Rational Numbers - Integers - Whole Numbers - Natural Numbers - **

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Irrational Numbers – REAL NUMBERS – are both rational and irrational numbers. < - less than < - less than or equal to > - greater than > - greater than or equal to

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Chapter 1.4 Common Core – N.RN.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational. Objectives – To identify and use properties of real numbers.

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Ch 1.4 Notes Commutative Properties of Addition or Multiplication a + b = b + a a * b = b * a Associative Properties of Addition or Multiplication (a + b) = c = a + (b + c) (a * b) * c = a * (b * c)

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**Identity Properties of Addition or Multiplication a + 0 = a a**

Identity Properties of Addition or Multiplication a + 0 = a a * 1 = a Zero Property of Multiplication a * 0 = 0 Multiplication Property of -1 a * -1 = -a

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Deductive Reasoning – is the process of reasoning logically form given facts to a conclusion. Counterexample – is and example showing that a statement is false.

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Chapter 1.5 Common Core – N.RN.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational. Objectives – To find the sums and differences of real numbers.

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Ch 1.5 Notes Absolute Value – Adding Numbers with the Same Sign = ____ = ____ Adding Numbers with Different Signs = ____ = ____

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Opposites – Additive Inverses – 5 & -5 are additive inverses of each other. Inverse Property of Addition – = 0 Subtracting Real Numbers 3 – (-5) = _____

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Chapter 1.6 Common Core – N.RN.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational. Objectives – To find the products and quotients of real numbers.

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Ch 1.6 Notes Multiply and Dividing Real Numbers Positive # * Positive # = Positive # Negative # * Negative # = Negative # Positive # *Negative # =Negative # Negative # * Positive # =Negative #

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**Multiplicative Inverse −5 ∗ 1 −5 = 1 **

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Chapter 1.7 Common Core – A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. Objectives – To use the Distributive Property to simplify expressions.

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Ch 1.7 Notes Distributive Property a(b + c) = _________ a(b - c) = _________

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Term – is a number, a variable, or the product of a number on one or more variables. Constant – is a term that has no variable. Coefficient – is the number in front of a variable. Like Terms have the same variable factors so you can put them together.

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Chapter 1.8 Common Core – A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Objectives – To solve equations using tables and mental math.

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Ch 1.8 Notes Equation – is a mathematical sentence that uses an equal sign (=). Open Sentence – is an equation that contains one or more variables and may be true or false depending on the values of the variables.

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Chapter 1.9 Common Core – A.REI.10 & A.CED.2 Understands that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve. Objectives – To use tables, equations, and graphs to describe relationships.

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Ch 1.9 Notes Solution of an equation – containing a variable is a value of the variable that makes the equation true. Inductive Reasoning – is the process of reaching a conclusion based on an observed pattern.

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