ALGEBRA 2 LESSONS IN POWERPOINT
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UNIT I

EQUATIONS AND INEQUALITIES IN ONE VARIABLE

 

  • Understanding Real Numbers: Number line, number sets, properties of numbers (commutative, associative, distributive...), simplifying expressions.

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UNIT II

INTRODUCTION TO LINEAR EQUATIONS

  • Understanding Relations and Functions and Linear Equations: Definition of relation and function, representation of relations as mapping, table, ordered set, and graph. State domain and range. Identify a function (vertical line test), discrete vs. continuous function, identification of linear equations, standard form for two variable linear equations.

 

  • Learning About Slope: Slope formula (run vs. rise and two points), falling to the right, horizontal, vertical, negative and positive cases for the slope. Slope of parallel and perpendicular lines.

  • Working With Systems of Linear Equations: Slope intercept form and point-slope form problems that involve a point and slope, two points, etc. Solving systems of two variable linear equations by substitution, linear combinations and graphing. Introduction to special functions (step function, constant function, identity function and absolute value function)

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UNIT III 

SOLVING SYSTEMS OF LINEAR EQUATIONS

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UNIT IV 

MANIPULATING POLYNOMIALS

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UNIT V

QUADRATIC FUNCTIONS

 

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UNIT VI 

UNDERSTANDING CONIC SECTIONS

 

  • Ellipses: Formula and Graphing. Learn the formal definition of an ellipse, and how to use the general and standard formulas of vertical and horizontal ellipses, and how to determine the equation from the graph.
  • Hyperbolas: Formula and Graphing. Equation For Conics: It teaches how to graph the standard and general forms of horizontal and vertical hyperbolas, and how to get the equation of the graph of a hyperbola and its asymptotes using the point-slope formula. It finalizes teaching how to determine from the general equation for conics, which conic a given equation represents.

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UNIT VII 

LEARNING ABOUT POLYNOMIAL FUNCTIONS

 

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UNIT VIII 

LEARNING ABOUT RATIONAL EXPRESSIONS 

AND EQUATIONS

  • Solving Rational Equations.   This lesson teaches how to simpify rational expressions and how to find the LCD and apply this to find the solution of rational equations.

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UNIT IX 

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

  • Working with Exponential and Logarithmic Functions. Learn how to use the properties of rational exponents and radicals to simplify expressions with radical exponents. Learn how to apply the properties of logarithms to solve logarithmic equations and inequalities. Find the logarithms and antilogarithms of numbers and learn about exponential and natural logarithms.

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UNIT

ARITHMETIC AND GEOMETRIC SERIES

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UNIT XI 

LEARNING PROBABILITY

  • The counting principle. This lesson teaches how to find out the number of outcomes for a set of events happening  in succession one after the other. Students may see the outcomes for each digit or letter position.

  • An Introduction to Probability. This lesson presents the formal and informal definitions of probability. Students learn how to find probabilities using a spinner, a dice and a deck of cards. Students also apply probability to problems involving permutations and combinations.
  • Dependent and Independent Probability. Great lesson to learn about dependent and independent probability and exclusive and inclusive events and how they affect the probability of an event. Students will understand when they add probabilities and when they multiply them.
  • Experimental and Geometric Probability.  Learn in an easy way how to find experimental probability from data gathered from a survey, and how to find probability using the ratio of lengths, areas and volumes.

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