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Are you ready for Algebra Two?
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“Before” Algebra
Algebra I – first term
Algebra I – 2nd term
Algebra II / college algebra
Trigonometry
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…get ready for Algebra II …
“Before” Algebra
area and perimeter of rectangles
area of triangles, rectangles and parallelograms
changing mixed numbers to improper fractions
comparing fractions
Dividing Fractions
Dividing Mixed Numbers
Equivalent Fractions
explanations of rational numbers, integers, whole numbers and counting numbers
graphing points
Integers
variables and translating algebraic expressions/equations
Algebra I – first term
Factoring
factoring – trial and error – with grouping
factoring review – all methods
factoring special products
factoring- trial and error – short way
Graphing Lines
graph equations of lines
graphing calculators and lines
linear equations
linear equations (video 1)
linear equations (video 2)
solve one-step equations using addition/subtraction
solve one-step equations using multiplication/division
Polynomials
Multiply Polynomials – special products
multiply polynomials by distributive property and FOIL
Rules for Multiplying Monomials
Write Equations of Lines (slope too)
use slope-intercept to write an equation of a line
Using Point-Slope form to write an equation of a line
writing equations of lines (slope, etc)
writing equations of parallel and perpendicular lines
Algebra I – 2nd term
complete the square
imaginary numbers – complex numbers
adding complex numbers
dividing complex numbers
graphing complex numbers
imaginary numbers
Infinite Geometric Series
multiplying complex numbers
long division and polynomials
long division with polynomials
long division with polynomials (place holder needed)
long division with polynomials (with a remainder)
quadratic equations
Quadratic Equation – Area Word Problem
Quadratic Equations – OVERVIEW
quadratic equations – WRAP-UP
Quadratic Equations and Word Problems
quadratic formula and finding roots of polynomial equations
Solve quadratic equations by completing the square
Solve quadratic equations by factoring
solve quadratic equations by factoring
Solve quadratic equations by the quadratic formula
Solve quadratic equations by the square root property
solving equations using square roots
solving more quadratic equations using square roots
Solving More Quadratic Equations using Square Roots
Solving Quadratic Equations using Square Roots
word problem – maximize area
quadratic graphs (parabolas)
graph parabola and find maximums or minimums
Graph Parabolas (quadratic)
use the discriminant to determine number of solutions
x-intercepts of a parabola
Radicals
add and subtract radicals
multiply and divide radicals
multiply binomials with radicals
simplify cube roots
simplify radicals
simplify radicals (using a factor tree, too)
Rational Expressions
add and subtract rational expressions (with different denominators)
add and subtract rational expressions (with the same denominator)
multiply and divide rational expressions
rationalize the denominator
Conjugates
rationalize the denominator (problem)
rationalize the denominator (when it is a binomial)
Synthetic Division
Synthetic Division (video 1)
Synthetic Division (with a remainder)
Systems of Equations
matrices in your calculator (systems of equations)
solve systems of equations by elimination/addition
solve systems of equations by substitution
system of equations: no solution and infinite solutions
systems of equations – overview- lecture
systems of equations – word problem
systems of equations – word problem – coin
Algebra II / college algebra
Average Rate of Change
Average Rate of Change (with a variable…)
calculate compounded interest
circles
Circle – center, radius and diameter
Circle – Finding the Center and Radius
Circles – explaining the definition
circles – lecture- formulas-graphing
write an equation of a circle by completing the square
write an equation of a circle given specific information
difference quotient
difference quotient with a cube
difference quotient with a quadratic
domain and range
domain and range (another video)
Ellipses
Ellipses (an explanation)
Problems involving an Ellipse
equations with fractional exponents
Finite Geometric Series
FUNCTIONS…etc.
Absolute Value Function
combinations of functions
composition of functions (video 1)
composition of functions (video 2)
domain and range (video 1)
domain of functions (video 2)
End Behavior of Graphs
Functions
Functions: Stretch and Compression (shrink) – transformations – shifts
Functions: Vertical and Horizontal Shifts – transformations
piece-wise defined functions
transformations/shifts of functions
vertical line test
graph of 1/x and finding vertical asymptotes
graph of 1/x^2 and its shifts (domain, range, asymptotes, end behavior)
Inverses
Graphing Inverses
Inverse
Inverse Functions
Verifying Inverses
Joint Variation
logarithms
continuously compounded interest (Pert)
Evaluating Logarithms
exponential equations – get the bases the same
exponential form and graphs of logarithms – lecture
exponential word problem – newton’s law of cooling
graphs of exponential functions and their transformations
logarithmic to exponential form
Solving Logarithmic and Exponential Equations!
Using Logarithms to solve Word Problem – Compound Interest
polynomial equations
quadratic inequality
Rational (fractional) Equations
more rational equations (fractional equations)
rational equation
The graph of f(x)= 1/x and its transformations
word problem – finding maximum height and horizontal distance
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Compound Interest
Graphing Calculator
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Trigonometry
Angles of Elevation word problems
Soh Cah Toa – angles of elevation and depression too
Unit Circle – part 2 (cos, sin)
Unit Circle (degrees, radians, cos and sine)
Unit Circle part 1 (degrees and radians)
Values of Trigonometric Ratios for Standard Angels
u-substitution
Videos for review guide
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