math 1

1. real numbers & their properties

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note 1

1.1 real numbers

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pages 2 - 11

Recognize the basic subsets of real numbers

Plot numbers on number line

Write the Interval notation and graph intervals

Evaluate the absolute value of real numbers

1.2 fractions

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Pages: 13 – 23

Build-up and reduce fractions

Evaluate arithmetic operations on fractions

Use the Least Common Denominator

Convert fractions to percents and back

1.3 addition and subtraction of real numbers

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Pages: 26 – 32

Addition of two negative numbers

Addition of numbers with unlike signs

Subtraction of Signed Numbers

1.4 multiplication and division of real numbers

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Pages: 34 – 38

Multiplication of real numbers

Division of real numbers

1.5 exponential expressions and the order of operations

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Pages: 40 – 47

Evaluate arithmetic expression

Use and evaluate exponential expressions

Evaluate expressions using the order of operations

1.6 algebraic expressions

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Pages: 49- 54

Identify algebraic expressions

Translate algebraic expressions

Evaluate algebraic expressions

2. equations and inequalities

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pages: 94 – 100

2.1 addition & multiplication properties of equality

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pages: 86-93

2.2 solving general linear equations

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pages: 94 – 100

2.3 more equation

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pages: 102 – 108

2.4 formulas (literal equations)

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pages: 110 – 116

2.8 inequalities

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Pages: 144 – 149

2.9 solving inequalities and applications

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Pages: 153 – 158

3. linear equations in two variables

3.1 graphing lines in the coordinate plane

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pages: 172-181

recognize ordered pairs and terms for rectangular coordinate system

plot points on the Cartesian plane

graph a line by plotting points

graph a line using intercepts

3.2 slope

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pages: 187 – 197

slope of a line

finding slope

using coordinates to find slope

slope for vertical and horizontal lines

graph line, given a point and a slope

3.3 equations of lines in slope-intercept form

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pages: 201 - 208

slope-intercept form

find slope and y-intercept

standard form

graph a line using slope and y-intercept

4. polynomials and exponents

4.1 rules of exponents

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pages: 256 – 263

product rule for exponents

zero exponent

quotient rule for exponents

power of a power rule for exponents

power of a product rule for exponents

power of a quotient rule for exponents

4.3 addition and subtraction of polynomials

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pages: 276 – 282

identify the coefficient of any term in a polynomial

identify the type and degree of a polynomial

evaluate a polynomial

perform operations on polynomials

4.4 multiplication of polynomial

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pages: 285 – 288

multiply monomials

multiply polynomial by monomial

multiply two polynomials

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using distributive propertyhelp - foil method in 4.5

additive inverse of polynomials

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using distributive property

4.6 special products

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pages: 296 – 299

square of a sum

square of a difference

product of a sum and difference a binomial