General review of numerical functions

• Function types: mixed review
• Use Function Notation to evaluate functions
• The average rate of change
• Find the Rate of Change over a given interval
• The direction of variation of reference functions
• The table of variation of reference functions
• The sing of reference functions
• Graphing functions using reference functions
• Identify Piecewise-defined function from the graph
• Create and use a Piecewise-defined function from real world data
• Step Functions
• Reference function: mixed review (domains, ranges, graphs, function properties)

Polynomial functions

• Polynomial functions: mixed review (domains, ranges, graphs, function properties)
• Degree of a polynomial functions: mixed review
• Polynomial functions equality
• Add polynomial functions
• Subtract polynomial functions
• Multiply polynomial functions
• Mixed polynomial functions operations
• Mixed polynomial functions operations: word problems
• Simplify polynomial functions
• Identify the root of a polynomial functions
• Find the root of a polynomial functions
• Graph the root of a polynomial functions
• Root of a polynomial functions: word problems
• Factorizing polynomial functions using the factor (x-a)
• Factorizing polynomial functions using roots

Function Operations

• Direct Variation
• Inverse Variation
• Variation Function (ƒ + k)
• Using The Sum Or The Product To Find The Root Of Quadratic Equation

Quadratic Equations 11

• Quadratic Equations: Mixed Review (Degree)
• Identify The Discriminant
• Number Of Solutions Of Quadratic Equations (Using The Discriminant)
• Find Roots Of Quadratic Equations
• The Sum And Product Of Roots Of The Quadratic Equations
• The Relationship Between The Sum And The Product Of Roots Of The Quadratic Equations
• Determining The Sign Of The Roots Of The Quadratic Equations
• The Quadratic Equations: : Word Problems
• Two Equivalent Equations
• Determining The Sum Or The Product Of Roots Without Calculating The Solutions Of The Equations

Quadratic Inequalities

Inverse And Joint Variation 11

Introduction To Limits 11

• Understanding Limit Notation
• Use The Formal Definition Of Limit
• Understanding The Limits Of Functions
• Understanding Left-Hand Limits And Right-Hand Limits
• Understanding Two-Sided Limits
• Learn That A Limit Can Fail To Exist When Behavior Differs From The Right And From The Left
• Learn That A Limit Can Fail To Exist Because Of Unbounded Behavior
• Limits And Oscillating Behavior
• Evaluating Limits Using The Limit Notation ( Estimate A Limit Using A Numerical Approach)
• One-Sided Limits
• Determine Infinite Limits From The Left
• Determine Infinite Limits From The Right

Calculate Limits 11

• Finite And Infinite Limits
• Finite Limit And Infinite Limit At A Real Number
• Evaluate Basic Limits
• Limit Of A Polynomials
• Limit Of A Rational Function
• Limit Of The Sum Of Two Function
• Limit Of The Product Of Two Function
• Limit Of The Ratio Of Two Function
• Limits Of | F(X) |
• Limits Of √F(X)
• Evaluate Limits Of Function (Limits Of Sum , Product And Composition Of Function)
• Understanding The Asymptote
• The Vertical Asymptote
• The Horizontal Asymptote
• The Oblique Asymptote
• The Vertical, Horizontal And Oblique Asymptote
• Graph The Asymptote
• Prove That The Line Is The Asymptote To The Curve Of The Function
• Find The Asymptote To The Curve Of The Function
• The Relative Position Of The Asymptote To The Curve Of The Function

Continuity 11

• Continuity On A Closed Interval
• Continuity At A Point
• Properties Of Continuity
• Continuity Theorem
• Properties Of Continuous Functions

Introduction To Derivatives 11

• Understanding Average Rate Of Change
• The Average Rate Of Change Formula
• Find The Average Rate Of Change Of A Function
• Find The Average Rate Of Change From The Graph
• Find The Average Rate Of Change From Equation
• Find Instantaneous Rates Of Change
• Velocity As A Rate Of Change
• The Real Limit Of Function When X = 0
• Identify The Derivative Function Of The Function Ƒ
• Find The Derivative Function Of The Function Ƒ
• The Domain Of Derivability
• The Relationship Between A Function And Its Derived Function
• Geometric Interpretation Of The Derived Number
• The Tangent Equation
• The Tangent Slope
• The Tangent To A Parabola
• The Tangent To A Hyperbola
• The Tangent To A Parabola Or A Hyperbola

Linear Approximations 11

• Introduction To Linear Approximations
• Determine The Linear Approximation
• Approximation Of A Function Around X = 0
• Approximation Of A Function Around X = A (A Is A Real Number)
• Linearization Of Radical Functions
• Linearization Of Polynomial Functions
• Linearization Of Rational Functions
• Linearization Of Exponential Functions
• Linearization Of Logarithmic Functions
• Linearization Of Trigonometric Functions

Operations On Derived Functions

• The Derivative Of The Sum Of Two Functions
• The Derivative Function Of The Product Of Two Functions
• The Derivative Function Of The Reciprocal Of A Function
• The Derivative Function Of The Ratio Of Two Functions
• The Derivative Function Of The Function Ƒ(X) = U(Ax + B)
• Basic Derivative Rules
• Functions That Have The Same Derivative

Applications Of Derivation 11

Exponential Functions 11

• Exponential Function: Mixed Review (Domains, Ranges, Graphs, Function Properties)
• Key Features Of Exponential Functions By Graphs
• Key Features Of Exponential Functions By Tables
• Key Features Of Exponential Functions By Equations
• Use Compound Interest Formula For Fixed Amount Of Time Compounding (Annual, Semi-Annual, Monthly, Etc)
• Use Compound Interest Formula For Continuous Compounding
• Use Compound Interest Formula To Solve For T (Time)
• Exponential Growth And Decay: Word Problems
• Limit Of Exponential Function

Logarithms 11

• Rewrite Exponential Functions Into Logarithmic Functions
• Rewrite Logarithmic Functions Into Exponential Functions
• Evaluate Natural Logarithms (With And Without Technology)
• Key Features Of Logarithmic Functions By Graphs
• Key Features Of Logarithmic Functions By Tables
• Key Features Of Logarithmic Functions By Equations
• Limit Of Logarithmic Function

Numerical Sequence 11

Complex Numbers 11

• Simplify Whole Number Radicals Into Radical Form
• Imaginary Unit I
• Standard Form Of Complex Numbers
• Adding With Complex Numbers
• Subtracting With Complex Numbers
• Powers Of I
• Multiplying With Complex Numbers
• Complex Conjugates
• Dividing With Complex Numbers
• Add, Subtract, Multiply And Divide Complex Numbers
• Factoring A Sum Of Squares Using Complex Numbers

Vectors 11

• Compass Directions And Vectors (Direction Of A Vector)
• Find The Magnitude Of A Vectors (Magnitude Of Vector)
• Scalar Multiplication Of A Vector
• Represent Vector Operations Algebraically
• Represent Vector Operations Graphically
• Properties Of Vector Addition
• Properties Of Vector Scalar Multiplication
• Unit Vectors
• Write A Linear Combination Of Unit Vectors
• Find Direction Angles Of Vectors
• Find The Area Of A Parallelogram Defined By Vectors
• Finding Dot Products Of Two Vectors
• Properties Of The Dot Product
• Find The Angle Between Two Vectors
• Understand The Weighted Average
• Calculate The Weighted Average Of Two Points
• Calculate The Weighted Average Of Three Points
• Calculate The Weighted Average Of Three Points Or More
• Find Weighted Coordinates
• Graph The Weighted Average

Trigonometry ,Unit Circle And Directed Angles 11

• Measure Angles Using Degree Measure
• Measure Angles Using Radian Measure
• Find Coterminal Angles In Degree Measure
• Complementary Angles In Radian Measure
• Convert An Angle Measure From Degrees To Radians
• The Directed Angles
• Negative And Positive Angle
• Find The Measure Of Directed Angle
• Standard Position288. Standard Position
• Coterminal Angles
• The Principal Angles
• Finding Principal Angles
• Unit Circle And Quadrant
• Quadrantal Angles
• Trigonometric Value Of Reference Angles
• Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖30〗^° (π/6 radian) Angle Measure On The Unit Circle
• Use The Properties Of 45-45-90 Triangles To Find The Coordinate Points At The 〖45〗^° (π/4 radian) Angle Measure On The Unit Circle
• Find Coterminal Angles In Radian Measure
• Supplementary Angles In Radian Measure
• Graph The Unit Circle
• Convert An Angle Measure From Radians To Degrees
• Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖60〗^° (π/3 radian) Angle Measure On The Unit Circle
• Extend Your Knowledge Of The Coordinates At 〖30〗^°,〖45〗^° ,〖60〗^° Angles To Find Coordinates In The Other Three Quadrants Of The Unit Circle
• Understand That For Any Angle θ On The Unit Circle With Points (x,y), □cos cos θ =x
• Understand That For Any Angle θ On The Unit Circle With Points (x,y), □tan tan θ =y/x
• Understand That For Any Angle θ On The Unit Circle With Points (x,y), □csc csc θ =1/y
• Understand That For Any Angle θ On The Unit Circle With Points (x,y), □sec sec θ =1/x
• Understand That For Any Angle θ On The Unit Circle With Points (x,y), □cot cot θ =x/y
• Evaluate Trig Functions From Angle Measures On The Unit Circle
• Evaluate Trigonometric Functions Of Acute Angles306. Evaluate Trigonometric Functions Of Acute Angles

The Cross Product Of Vectors In 2d Plane 11

Matrices 11

• Use A Matrix To Represent Data
• Adding Matrices
• Subtracting Matrices
• Translate And Dilate Figures Using Matrices
• Create A Zero Matrix Of Any Dimension
• Understand The Properties Of The Zero Matrix As It Relates To Matrix Operations
• Create An Identity Matrix Of Any Dimension
• Understand The Properties Of The Identity Matrix As It Relates To Matrix Operations
• Identify Square Matrices
• Identify Row Matrices
• Identify Column Matrices
• Understand That A Matrix Multiplied By Its Inverse Will Result In The Identity Matrix
• Use Determinants To Find The Area Of Certain Shapes
• Represent A System Of Equations Using Matrices And Use Inverse Matrices To Solve It

The Complex Plane 11

• Plot Complex Numbers In The Complex Plane
• Find The Absolute Value Of Complex Numbers
• Adding In The Complex Plane
• Subtracting In The Complex Plane
• Complex Conjugates In The Complex Plane
• Distance Formula In The Complex Plane

Statistics 11

• Qualitative And Quantitative Data Type (Nominal, Ordinal, Discrete And Continuous): Mixed Review
• Find Quartiles
• Lower And Upper Quartile
• Find Quartile Deviation
• Quartiles And Interquartile Range
• Quartile Deviation
• Interpreting Quartiles
• Variance And Standard Deviation Formula
• Calculate Variance And Standard Deviation
• Properties Of Variance And Standard Deviation
• Standard Deviation Of Ungrouped Data
• Standard Deviation By Assumed Mean Method
• Standard Deviation Of Grouped Data
• Measures Of Variability Range, Variance, Quartile And Standard Deviation
• Measures Of Central Tendency Mean, Median And Mode
• Features Of Normal Distribution
• Use The Empirical Rule To Solve Problems
• Summary Statistics

Probability 11

• Basic Terms Of Probability (Sample Space, Events, Elementary Event, Experiment)
• Theoretical Probability
• Experimental Probability
• Make Predictions
• Develop A Theoretical Probability Distribution
• Recognize A Uniform Probability Distribution
• Recognize Situations That Are Binomial Experiments
• Use Binomial Probability To Find Expected Value
• Understand The Fundamental Counting Principle
• Develop An Experimental Probability Distribution
• Use The Binomial Probability Formula To Find Probabilities
• Recognize Problems Requiring Expected Value To Be Computed
• Use Expected Value To Find Expected Payoffs
• Use Expected Values To Evaluate Strategies
• Use Probability To Determine Whether Games And Strategies Are Fair Or Unfair
• Identify Independent And Dependent Events
• Probability Of Independent And Dependent Events
• Compound Events: Find The Number Of Outcomes
• Probability Of Compound Events
• Rules Of Probability
• Find The Number Of Outcomes: Word Problems

Geometry Foundations 11

• Use The Segment Addition Postulate
• Use The Protractor Postulate
• Use The Angle Addition Postulate
• Identify Congruent Segments
• Identify Congruent Angles
• Construct Lines, Rays, Segments, And Angles
• Construct Angle Bisectors
• Construct Perpendicular Bisectors Of Segments
• Use Deductive Reasoning To Prove Theorems
• Use Inductive Reasoning To Identify Patterns And Make Predictions
• Use Inductive Reasoning To Support Conjectures
• Use Counterexamples To Disprove Conjectures
• Present Conjectures As Conditional Statements
• Find The Converse Of Conditional Statements
• Find The Inverse Of Conditional Statements
• Find The Contrapositive Of Conditional Statements
• Find And Complete Truth Tables For Conditional Statements
• Use The Laws Of Detachment
• Use The Laws Of Syllogism
• Congruent Supplements Theorem
• Congruent Complements Theorem

Parallel And Perpendicular Lines 11

Transformations 11

Triangle Congruence 11

Relationships In Triangles 11

Polygons 11

• Understand The Polygon Exterior Angle-Sum Theorem
• Use The Polygon Exterior Angle-Sum Theorem To Solve Problems
• Understand The Properties Of The Diagonals Of A Kite
• Use The Diagonals Of A Kite To Solve Problems
• Understand The Properties Of The Diagonals Of An Isosceles Trapezoid
• Solve Problems Using Isosceles Trapezoids11
• Use Opposite Sides Of A Parallelogram To Solve Problems
• Use Angles Of A Parallelogram To Solve Problems
• Find Unknown Lengths In A Parallelogram
• Verify That A Quadrilateral Is A Parallelogram Given Its Sides And Diagonals
• Verify That A Quadrilateral Is A Parallelogram Given Its Angles
• Find The Diagonals Of A Rhombus
• Find Lengths In A Rhombus
• Find Angle Measures In A Rhombus
• Find Diagonal Lengths Of A Rectangle
• Use Diagonals To Identify Parallelograms (Rhombus, Rectangle, Etc)

Similarity 11

• Identify Dilations Of A Figure
• Find A Scale Factor Of A Dilation
• Dilate A Figure With A Center At The Origin
• Dilate A Figure With A Center Not At The Origin
• Use A Scale Factor To Find Length And Area
• Identify Similar Triangles Formed By An Altitude
• Use The Geometric Mean To Solve Problems
• Use Coordinate Geometry To Classify Triangles On The Coordinate Plane

Coordinate Geometry 11

• Use Coordinate Geometry To Classify Parallelograms On The Coordinate Plane
• Use Coordinate Geometry To Classify Trapezoids On The Coordinate Plane
• Use Coordinate Proofs To Solve Problems

Conics 11

• Use Coordinate Geometry To Classify Kites On The Coordinate Plane
• Understand The Relationship Between The Focus And Directrix Of A Parabola
• Write The Equation Of A Parabola Given The Focus And Directrix

2D And 3D Shape Models 11

• Understand The Polygon Interior Angle-Sum Theorem
• Use Euler’s Formula To Calculate Faces, Vertices, And Edges
• Describe Cross Sections Of Polyhedrons
• Draw A Cross Section
• Rotate A Polygon To Form A 3D Figure
• Determine Whether Volume Or Surface Area Is Best For Describing Size
• Apply Cavalieri’s Principle To Prisms
• Apply Cavalieri’s Principle To Cylinders
• Apply Cavalieri’s Principle To Pyramids
• Apply Cavalieri’s Principle To Cones
• Apply Cavalieri’s Principle To Spheres
• Find The Volumes Of Hemispheres
• Find The Volumes Of Composite Figures