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Algebra 1.5

 

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Overview

Weeks shown is approximate time in a classroom situation

Unit 1

Solve Equations and Inequalities

(6 weeks)

  • Solve equations and inequalities
  • Solve absolute value equations
  • Solve literal equations
  • Direct variation and proportion

Unit 2

Graphing Linear Equations and Inequalities

(6 weeks)

  • slope and intercepts
  • slope-intercept, standard, point-slope forms
  • parallel and perpendicular lines
  • write equations of lines given various parameters
  • graph inequalities on a coordinate plane
  • scatter plots and least-squares lines

Unit 3

Systems of Linear Equations & Inequalities

(5 weeks)

  • solve systems by graphing, substitution, elimination
  • classify systems of equations
  • graph systems of linear inequalities

Unit 4

Exponents and Polynomials

(6 weeks)

  • simplify rational expressions
  • solve simple rational equations
  • factoring polynomials
  • properties of exponents
  • exponential operations

Unit 5

Quadratic Functions

(7 weeks)

  • factor quadratic expressions
  • solve quadratic equations
  • graph quadratic equations
  • introduction to complex numbers

Unit 6

Numbers and Functions

(6 weeks)

  • operations with functions
  • radical expressions and radical functions
  • simplify radical expressions
  • solve radical equations and inequalities

 

 

 

 

 

 

 

 

 

 

 

Unit 1

Solve Equations and Inequalities

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Packet Help sites
  • Solve equations and inequalities
  • Solve absolute value equations
  • Solve literal equations
  • Direct variation and proportion
Unit 1 packet

 

 

 

How to solve an AND inequality and graph it

How to solve and graph and inequality

How to figure out if an absolute value inequality is AND or OR

Compound Inequalities

Graphing y=mx + b

What is the constant of variation?

What does direct variation look like on a graph?

How do you use the formula for direct variation?

What the direct variation or direct proportionality formula?

What's the inverse variation or indirect proportionality formula?

How do you find the constant of variation from a direct variation equation?

How do you solve a word problem using the direct variation formula?

 

 

 

Unit 2

Graphing Linear Equations and Inequalities

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  • slope and intercepts
  • slope-intercept, standard, point-slope forms
  • parallel and perpendicular lines
  • write equations of lines given various parameters
  • graph inequalities on a coordinate plane
  • scatter plots and least-squares lines

Solving and Graphing #2

Adding and Subtracting Fractions with like denominators

From Standard form to Slope-Intercept

Graphing Inequalities

Unit 3

Systems of Linear Equations & Inequalities

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  • solve systems by graphing, substitution, elimination
  • classify systems of equations
  • graph systems of linear inequalities

Solving systems by graphing

Solving systems by elimination

Solving systems by substitution

Solving systems however you want

Review of Solving Systems

Point slope worksheet 1

Ways of solving systems of equations

What is a SOLUTION to a system of equations?

Solving systems by graphing

Solving systems by elimination

Solving systems with substitution

Point Slope video from Pearson

Graphing in Point Slope form

Unit 4

Exponents and Polynomials

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  • simplify rational expressions
  • solve simple rational equations
  • factoring polynomials
  • properties of exponents
  • exponential operations

Fraction Division worksheet

Fractions - Mixed to Improper

Fraction Multiplication worksheet

Fractions - Improper to Mixed

Rational Expressions 1

Rational Expressions 2

Add/Subtract Rational Expressions with E & Bella

Add/Subtract Rational Expressions EASY

Add/Subtract Rational Expressions EASY #2

Add/Subtract Rational Expressions MEDIUM

Add/Subtract Rational Expressions REVIEW

Add/Subtract Rational Expressions TEST

 

THE TEN COMMANDMENTS OF FACTORING

Solving Rational Equations EASY #1

Solving Rational Equations EASY #2

Solving Rational Equations EASY/MED

Solving Rational Equations MEDIUM

Multiply and Divide Rational Expressions 3

Factoring Polynomials EASY

Factoring by Grouping

Factoring a Sum and Difference of Cubes MEDIUM part 1

Factoring Polynomials MEDIUM part 2

Factoring Quadratic Form

 

 

 

Properties of Exponents EASY

Properties of Exponents Medium

Solving Exponential Equations EASY

Solving Exponential Equations MEDIUM (this is a worksheet from Kuta Software and has different title)

 

UNIT 4 TEST REVIEW

UNIT 4 TEST

 

 

 

 

 

 

Multiplying Rational Expressions

Dividing Rational Expressions

Adding Polynomials

Subtracting Polynomials

What is a Factor?

Factoring Trinomials

Factoring Polynomials by Guess and Check

Multiplying Polynomials using FOIL

Multiplying Polynomials using Distributive Property

Simplifying Algebraic Fractions

 

 

 

 

 

Solving Rational Equations Using LCD

Solving a Rational Equation with an Extraneous Solution

Solving a Rational Equation with no solution

Solving Rational Equations with binomials in the denominator

 

Exponential Functions Powerpoint

Solving Exponential Equations Powerpoint

Unit 5

Quadratic Functions

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  • factor quadratic expressions
  • solve quadratic equations
  • graph quadratic equations
  • introduction to complex numbers

Quadratics - Solving for x^2

Quadratic Formula Worksheet 1

Discriminant Worksheet

 

Using the Quadratic Formula (video)

How to program the TI-84 Plus for the quadratic formula

Discriminant and the Nature of Solutions

Using the Discriminant (video)

How to graph y = ax^2 + bx + c

Unit 6

Numbers and Functions

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  • operations with functions
  • radical expressions and radical functions
  • simplify radical expressions
  • solve radical equations and inequalities