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