Algebra Two (Common Core) - Important Standards/Skills

Algebra Two (Common Core) - Important Standards/Skills

Week 25 study guide

Week 24 and before study guide

Linear Expressions and Functions / How well do you know it?
Simplifying Expressions Combining like terms and the distributive property / A-APR.1 / ·  Week 1 page 4
·  TenMarks – The Arithmetic of Polynomials
Solving linear equations, when solutions exist. / A-CED.1 / ·  Week 1 Page 7
·  TenMarks – Linear and Quadratic Functions
Evaluating functions (by substituting numbers for variables) and checking your answers using a calculator. / F-IF.2 / ·  Week 1 page 11
·  TenMarks - Evaluating Functions
Distributive property (FOILing) and Factoring. / A-APR.1 / ·  Week 1 pages 14 – 15
·  TenMarks – The Arithmetic of Polynomials
Using the STORE function on your TI Calculator / F-IF.2 / ·  Week 1 page 18
·  TenMarks - Evaluating Functions
Function notation, and evaluating functions. / F-IF.2 / ·  Week 4 page 3
·  TenMarks - Evaluating Functions
Compositions of functions (functions in functions) / ·  Week 4 pages 8 – 9
·  RegentsPrep Resource
Domain and Range. One to one functions. / F-IF.5 / ·  Week 4 pages 13 – 14
·  TenMarks - The Domain and Range of Functions AND
·  TenMarks - The Domain and Range of Non-polynomial functions
Finding inverses functions. / F-BF.4 / ·  Week 5 pages 4 – 5
·  TenMarks - Understanding Inverse Functions
Identifying minima, maxima, and intercepts from a graph. / F-IF.4
F-IF.9 / ·  Week 5 page 8
·  TenMarks - Comparing Characteristics of Functions
Determining the average rate of change for a function. / F-IF.6 / ·  Week 5 page 16
·  TenMarks - Average Rate of Functions
Modeling Linear Equations (AKA Linear Word Problems) / F-LE.5 / ·  Week 5 page 20
·  TenMarks - Interpreting Linear & Exponential Equations – Modeling Situations (Algebra 1)
Exponential and Logarithmic Functions / How well do you know it?
Working with negative and rational exponents. / N-RN.2
A-SSE.3c / ·  Week 6 page 5
·  TenMarks - Roots and Radical Expressions
·  TenMarks - Identifying Equivalent Exponential Expressions
Determining intercepts, domain and range, and end behavior of an exponential function. / F-LE.5 / ·  Week 6 page 9
·  TenMarks - Interpreting Linear & Exponential Equations – Modeling Situations (Algebra 1)
·  Extra resource
Performing exponential regression using the calculator. / F-LE.2 / ·  Week 6 page 15
·  Link to worksheet
Working with exponential growth and decay. / A-CED.1
A-SSE.3 / ·  Week 7 page 2
·  TenMarks - Applications of Non-Polynomial Equations
Rewriting exponential growth and decay expressions. / A-SSE.3 / ·  Week 7 pages 5 – 6
·  Khan academy – Simplifying exponential expressions ONLY
Working with logarithms and determining their domain. / F-LE.4 / ·  Week 7 page 12, page 14
·  TenMarks – Logarithms
·  Domain and Range of Logs
Expanding and condensing logarithms. / F-LE.4 / ·  Week 8 page 2
·  Link to worksheet
Solving exponential equations by using logarithms. / F-LE.4 / ·  Week 8 page 7
·  Link to worksheet
Working with e and the natural logarithm (ln) / F-LE.4 / ·  Week 8 page 11
·  Link to worksheet
Modeling with exponential equations (exponential word problems) / F-LE.4 / ·  Week 8 page 14
·  Khan academy tutorial
Series and Sequences / How well do you know it?
Finding the terms and rules of recursive functions. / F-IF.3
F-BF.2 / ·  Week 9 page 3
·  MathBits resource
·  TenMarks - Identifying Recursive Functions (Algebra 1)
Finding the nth term of a sequence. / F-BF.2
F-LE.2 / ·  Week 9 page 9
·  MathBits resource
· 
Using summation notation / A-SSE.4 / ·  Week 9 page 13
·  MathBits and using a calculator
Finding the sum of a geometric sequence / A-SSE.4 / ·  Week 10 pages 2 – 3
·  TenMarks – Geometric Series
Applying exponential growth and decay to mortgage payments. / A-SSE.4 / ·  Week 10 page 4
·  Virtual Nerd Resource
Quadratic Functions / How well do you know it?
Factoring out GCF, and factoring with difference of squares. / A-SSE.2 / ·  Week 11 page 3
·  TenMarks - Seeing Structure in Polynomial Expressions
Factoring using the AC Method. / A-SSE.2 / ·  Week 11 page 5
·  TenMarks - Seeing Structure in Polynomial Expressions
·  Model problem
Factoring quadratics completely. / A-SSE.2 / ·  Week 11 pages 9 – 10
·  TenMarks - Seeing Structure in Polynomial Expressions
·  Practice Problems
Using the zero product law. / A-APR.3
A-REI.4 / ·  Week 11 page 13
·  TenMarks - Solving Polynomial Equations
·  TenMarks – Quadratic Equations
Solving quadratic inequalities. / A-CED.1 / ·  Week 12 page 4
·  RegentsPrep
Shifting quadratic functions and using vertex form. / F-BF.3
A.SSE.3b / ·  Week 12 pages 9 –10
·  TenMarks – The Nature of Functions
·  TenMarks - Quadratic Functions and Completing the Square
·  Kuta Worksheet
Modeling quadratic functions (quadratic word problems). / A-CED.1 / ·  Week 13 page 3
·  TenMarks - Applications of Non-Polynomial Equations
Determining the equation of a circle by completing the square. / A-REI.7 / ·  Week 13 page 6
·  Khan academy video
Finding the equation of a parabola using focus and directrix. / G-GPE.2 / ·  Week 13 page 11
·  YouTube Video Tutorial
Reflecting quadratic functions. / F-BF.3 / ·  Week 14 page 2
·  TenMarks – The Nature of Functions
YouTube Video Tutorial
Dilating quadratic functions. / F-BF.3 / ·  Week 14 page 7
·  TenMarks – The Nature of Functions
·  YouTube Video Tutorial
Identifying even and odd functions. / F-BF.3 / ·  Week 14 page 14
·  TenMarks – Transformations of Functions
Random stuff, and the QUADRATIC FORMULA / How well do you know it?
Solving equations with radicals. / F-IF.4
A-REI.2 / ·  Week 15 page 5
·  TenMarks - Key Features of Square and Cube Root Functions
·  TenMarks - Radical Equations
Solving quadratics with the quadratic formula. / A-REI.4b / ·  Week 15 page 9
·  Week 16 page 10 (includes imaginary solutions)
·  TenMarks – Quadratic Equations
Working with rational exponents and rational expressions. / N-RN.2 / ·  Week 15 page 14
·  TenMarks - Operations on Rational Expressions
·  TenMarks - Roots and Radical Expressions
Simplifying non-square roots (e.g. 3128). / N-RN.2 / ·  Week 15 pages 17 – 18
·  TenMarks - Roots and Radical Expressions
Imaginary/Complex Numbers / How well do you know it?
Simplifying and multiplying complex numbers. / N-CN.1
N-CN.2 / ·  Week 16 pages 2 – 3
·  TenMarks – Complex Numbers
·  TenMarks - The Arithmetic of Complex Numbers
Using the quadratic formula with complex solutions. / A.REI.4
N-CN.7 / ·  Week 16 page 7
·  TenMarks – Polynomials with Complex Roots
·  TenMarks - The Nature of the Roots of a Quadratic Equation
Polynomials and Rational Expressions/Equations / How well do you know it?
Creating polynomial equations, graphing them, and finding roots. / A-APR.3
F-IF.4
F-IF.7 / ·  Week 17 page 4
·  TenMarks – Graphs of Polynomial Functions (IF.7)
·  TenMarks - Solving Polynomial Equations
Determining when a function is undefined. / F.IF.7 / ·  Week 17 page 10
·  Link to Worksheet
Proving that equations are identities. / A-APR.4 / ·  Week 17 page 11
·  TenMarks - Polynomial Identities
Simplifying rational expressions. / A-APR.6 / ·  Week 17 page 18
·  TenMarks - Rewriting Rational Expressions
Adding and subtracting rational expressions. / A-APR.6
A-APR.7 / ·  Week 17 page 21
·  TenMarks - Operations on Rational Expressions
Performing polynomial long division. / A-APR.6 / ·  Week 18 page 4
·  Mathbits Resource
Using the remainder theorem. / A-APR.2
A-APR.6 / ·  Week 18 page 6
·  TenMarks - The Remainder Theorem
Solving Rational Equations (equations with fractions) / A-REI.2 / ·  Week 18 page 11
·  TenMarks – Rational Equations
Solving Rational Inequalities. / A-CED.1 / ·  Week 19 page 2
·  RegentsPrep Resource
Finding extraneous solutions. / A-REI.1 / ·  Week 19 page 5
·  TenMarks – Linear and Quadratic Functions
·  TenMarks - Applications of Non-Polynomial Equations
Intro to Trigonometry / How well do you know it?
Standard position and reference angles. / F-TF.1 / ·  Week 20 page 4
·  YouTube Video Tutorial
Converting between degrees and radians (s= θr). / F-TF.1 / ·  Week 20 page 10
·  TenMarks – Radian Measure
Finding exact values of sine and cosine using the “big square root.” / F-TF.2 / ·  Week 20 page 13
·  YouTube Video Tutorial
·  TenMarks – The Unit Circle
Using right triangle to find exact values of sine and cosine. / F-TF.2
F-TF.8 / ·  Week 20 pages 15 – 16
·  TenMarks – The Unit Circle
·  YayMath Video Lesson
Using reference angles to find exact values in quadrants II, III, and IV / F-TF.8 / ·  Week 21 page 2
·  Patrick JMT Video Tutorial
Using the Pythagorean identity to convert between sine and cosine. / F-TF.8 / ·  Week 21 page 3
·  TenMarks – The Pythagorean Identity
Graphing sine and cosine, given period and amplitude. / F-TF.5
F-IF.7e / ·  Week 21 page 9
·  Khanacademy Video Tutorial
Vertically shifting sine and cosine graphs. / F-TF.5
F-IF.7e / ·  Week 21 page 13
·  Patrick JMT Video Tutorial
Determining the period and frequency of sine or cosine. / F-TF.5
F-IF.7e / ·  Week 21 page 14
·  Week 22 page 2
·  Week 22 page 7
·  TenMarks – Modeling Periodic Behavior
Determining exact values of tangent, including when it is undefined. / F-TF.8 / ·  Week 23 page 3
·  Why Tangent is Undefined at 90 degrees
·  Youtube Video – Lots of Examples
Reciprocal trig function: Cosecant, Secant, and Cotangent. / F-TF.8 / ·  Week 23 pages 6 – 7
·  TenMarks – The Unit Circle
Probability and Statistics / How well do you know it?
Finding theoretical and empirical probabilities. / S-CP.1 / ·  Week 23 page 10
·  TenMarks - Approximating the Probability of an Event
Working with probabilities (AND / OR). / S-CP.7 / ·  Week 24 page 3
·  PatrickJMT Video Tutorial
Working with conditional probabilities (e.g. P(B | A)). / S-CP.3
S-CP.4
S-CP.5
S-CP.6 / ·  Week 24 page 10
·  TenMarks – Modeling Conditional Probabilities
Determining if events are dependent or independent. / S-CP.2
S-CP.4
S-CP.5 / ·  Week 24 page 15
·  TenMarks – Determining Independent Events
Multiplying conditional probabilities. / S-CP.4
S-CP.2 / ·  Week 25 page 2
·  YouTube Video Tutorial
Understanding variability, surveys, observations, and experiments. / S-IC.3 / ·  Week 25 page 7
·  YouTube Video Tutorial
Calculating population and sample standard deviation. / S-IC.1
S-IC.4 / ·  Week 25 page 9 and page 12
·  Calculator Video Tutorial
Working with normalcdf and the normal curve / S-ID.4 / ·  Week 26 page 3
·  TenMarks – Normal Distributions
Calculating z scores / S-ID.4 / ·  Week 26 page 12
·  TenMarks – Normal Distributions
Sample proportions / S.IC.1,4 / ·  Week 27 pages 2-3
Difference in sample means / S.IC.5 / ·  Week 27 page 6
Linear regression and lines of best fit / S.ID.6(a) / ·  Week 27 pages 9-10
Other Topics / How well do you know it?
Solving 3x3 systems of equations. / A.REI.6 / ·  Week 28 page 3
·  YouTube Video Tutorial
Calculating compound interest / F-IF.8
F-BF.1a
A-SSE.3 / ·  Week 28 pages 7 – 8
·  YouTube Video Tutorial
· 
· 
· 
· 
· 
Review Topics / How well do you know it?
Using SOHCAHTOA / G-SRT.6 / ·  TenMarks – Solving Right Triangle Problems
· 
· 
· 
· 
· 
·