Spring Break Packet
MIDTERM STUDY GUIDE!
2.0 Factor by Grouping Practice
Unit 0: Math 3 Review
Unit 0 Packet: Factoring Monomials, Laws of Exponents, Function Notation, and Rationalizing Denominators
Helpful Websites: Khan Academy, CoolMath, Mathisfun.com
0.1 Factoring Monomials, Exponent Rules
0.2 Function Notation & Rationalizing Denominators
0.3 GEMDAS & Function Notation
0.4 Interval Notation & Graphing Inequalities
Unit 1: Building Functions
1.1 Functions & Their Domains
1.2 Properties of Functions: Domain, Range, Even/Odd/Neither, Boundedness, Continuity
1.3 Parent Functions: Linear, Quadratic, Cubic, Square Root, Logistic, Logarithmic, Exponential Growth and Decay, Reciprocal, and Absolute Value
1.4 Transformations of Functions; Writing Transformations with Function Notation
1.5 Piecewise Functions
1.6 Composition and Combinations of Functions - CLICK HERE FOR EXTRA PRACTICE! ANSWERS INCLUDED!
1.7 Difference Quotient (Calculus) - CLICK HERE FOR EXTRA PRACTICE!
1.8 Inverse Functions (NCFE)
UNIT 1 EXTRA STUDY GUIDE!
Unit 2: Polynomial & Rational Functions
2.0 FACTORING EVERYTHING
2.1 Polynomial Functions, Finding Zeros, and End Behavior
2.2 Polynomial Functions, Finding Zeros, Multiplicity, and using End Behavior to WRITE equations of functions
2.3 Long Division, Synthetic Division, and the Remainder Theorem
2.4 Solving Polynomial Inequalities using a sign chart
2.5 Graphing Rational Functions and End Behavior
2.6 Solving Rational Equations
Unit 3: Exponential, Logarithmic, and Logistic Functions
3.0 Graphic Organizer; Population Topics, Investment Topics
3.1 Exponential Functions & Their Graphs
3.2 Interest and Investment Options
3.3 Logarithmic Function Concepts & Their Equations
3.4 Solving Logarithmic Equations
3.5 Solving for Unknown Time Variables
3.6 Logistic Functions
Unit 4: Trigonometric Functions
4.1 Right Triangle Trig - SOHCAHTOA & Inverse Trig
4.2 Non-Right Triangle Trig - Law of Sines and Law of Cosines
4.3 Angles, Radians, Degrees, and Constructing the Unit Circle
4.4 Evaluating Trigonometric Functions using the Unit Circle (NO CALCULATOR)
4.5 Graphing Trig Functions (sin, cos, tan, csc, sec, cot)
TRANSFORMATIONS - Phase Shifts Video
Tricks to memorizing the Unit Circle! Click Here!
Unit 5: Analytic Trigonometry
5.1 Reciprocal and Quotient Identities
5.2 Pythagorean Identities
5.3 Simplifying ALL types of expressions using all identities
5.4 Solving Equations with the Unit Circle
5.4 Classwork Link: Click here!
Unit 6: Conics
6.1 Circles
6.2 Ellipses
6.3 Hyperbolas
6.4 Parabolas
CLICK HERE FOR A REALLY GOOD SUMMARY WEBSITE!
Unit 7: Vectors, Polar, and Parametric Functions
7.1 Graphing Polar Coordinates
7.2 Converting Polar Coordinates - Rectangular Coordinates
7.3 Converting Equations from Polar Form to Rectangular Form
7.4 Parametric Functions - Eliminating the Parameter
Unit 8: Sequences & Series
8.1 Arithmetic Sequences
8.2 Geometric Sequences
8.3 Partial Sums + Series + Summation Notation (Sigma)
8.4 Infinite, Finite Sums; Convergent, Divergent
MIDTERM STUDY GUIDE!
2.0 Factor by Grouping Practice
Unit 0: Math 3 Review
Unit 0 Packet: Factoring Monomials, Laws of Exponents, Function Notation, and Rationalizing Denominators
Helpful Websites: Khan Academy, CoolMath, Mathisfun.com
0.1 Factoring Monomials, Exponent Rules
0.2 Function Notation & Rationalizing Denominators
0.3 GEMDAS & Function Notation
0.4 Interval Notation & Graphing Inequalities
Unit 1: Building Functions
1.1 Functions & Their Domains
1.2 Properties of Functions: Domain, Range, Even/Odd/Neither, Boundedness, Continuity
1.3 Parent Functions: Linear, Quadratic, Cubic, Square Root, Logistic, Logarithmic, Exponential Growth and Decay, Reciprocal, and Absolute Value
1.4 Transformations of Functions; Writing Transformations with Function Notation
1.5 Piecewise Functions
1.6 Composition and Combinations of Functions - CLICK HERE FOR EXTRA PRACTICE! ANSWERS INCLUDED!
1.7 Difference Quotient (Calculus) - CLICK HERE FOR EXTRA PRACTICE!
1.8 Inverse Functions (NCFE)
UNIT 1 EXTRA STUDY GUIDE!
Unit 2: Polynomial & Rational Functions
2.0 FACTORING EVERYTHING
2.1 Polynomial Functions, Finding Zeros, and End Behavior
2.2 Polynomial Functions, Finding Zeros, Multiplicity, and using End Behavior to WRITE equations of functions
2.3 Long Division, Synthetic Division, and the Remainder Theorem
2.4 Solving Polynomial Inequalities using a sign chart
2.5 Graphing Rational Functions and End Behavior
2.6 Solving Rational Equations
Unit 3: Exponential, Logarithmic, and Logistic Functions
3.0 Graphic Organizer; Population Topics, Investment Topics
3.1 Exponential Functions & Their Graphs
3.2 Interest and Investment Options
3.3 Logarithmic Function Concepts & Their Equations
3.4 Solving Logarithmic Equations
3.5 Solving for Unknown Time Variables
3.6 Logistic Functions
Unit 4: Trigonometric Functions
4.1 Right Triangle Trig - SOHCAHTOA & Inverse Trig
4.2 Non-Right Triangle Trig - Law of Sines and Law of Cosines
4.3 Angles, Radians, Degrees, and Constructing the Unit Circle
4.4 Evaluating Trigonometric Functions using the Unit Circle (NO CALCULATOR)
4.5 Graphing Trig Functions (sin, cos, tan, csc, sec, cot)
TRANSFORMATIONS - Phase Shifts Video
Tricks to memorizing the Unit Circle! Click Here!
Unit 5: Analytic Trigonometry
5.1 Reciprocal and Quotient Identities
5.2 Pythagorean Identities
5.3 Simplifying ALL types of expressions using all identities
5.4 Solving Equations with the Unit Circle
5.4 Classwork Link: Click here!
Unit 6: Conics
6.1 Circles
6.2 Ellipses
6.3 Hyperbolas
6.4 Parabolas
CLICK HERE FOR A REALLY GOOD SUMMARY WEBSITE!
Unit 7: Vectors, Polar, and Parametric Functions
7.1 Graphing Polar Coordinates
7.2 Converting Polar Coordinates - Rectangular Coordinates
7.3 Converting Equations from Polar Form to Rectangular Form
7.4 Parametric Functions - Eliminating the Parameter
Unit 8: Sequences & Series
8.1 Arithmetic Sequences
8.2 Geometric Sequences
8.3 Partial Sums + Series + Summation Notation (Sigma)
8.4 Infinite, Finite Sums; Convergent, Divergent