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1.1 Introduction: Solving Limit of a Function

1.2 Different Techniques on Solving Limits

1.3 Evaluating Limit Given the Graph of the Function

2.2 Derivative Rules: Power Rule and Constant Rule

* 2.5 Computing for the Tangent Line Given a Point

2.7 Using Derivative Rules in Evaluating Functions

2.8 Application of Derivatives on Rectilinear Motions

2.9 Movement of a particle: Backward, Forward, Speeding Up, Slowing Down

3.1 Derivatives of Trigonometric Functions

3.2 Derivatives of the Inverse of a Trigonometric Function

3.3 Derivatives – Exponential Functions (e and constant)

3.4 Derivatives of Logarithmic and Ln Functions.

3.5 Derivatives of Transcendental Functions

3.6 Solving for the Tangent Lines Given Transcendental Functions

4.1 Application of Derivative Rules Given a Table

4.3 Higher Order Derivatives Using Implicit Differentiation

4.4 Related Rates – Balloon and Ripple Problems

4.5 Solving Related Rates on Ladder and Cone Problem

4.6 Finding the Critical Numbers Using Derivatives

4.7 Absolute and Relative (Local) Extrema

4.8 1st Derivative Test for Local Maximum and Local Minimum

4.9 2nd Derivative Test for Concavity and Point of Inflection

4.10 Analyzing the f function given the f' graph

5.2 Antiderivatives of Transcendental Functions

5.3 Riemann Sums – Area Under the Curve

5.4 Area Under the Curve: Reimann Sums Using a Calculator ti84

5.5 Riemann Sums – Estimating Distance Traveled by a Moving Object

5.6 Solving Definite Integrals

5.7 Evaluating Integrals Using its Properties and Common Geometric Figures

5.8 Integral of Absolute Value Functions

5.9 Using the Fundamental Theorem of Calculus in Integrals

5.10 Using U-Substitution or Substitution Method in Integration.

6.1 Applications of Definite Integrals – On Rectilinear Motion

6.2 How to compute for the area under the curve using integrals

6.3 Solving Areas Between Curves Using Ti-84

6.4 Solving Areas Between Curves: Using Subregions

6.6 Integrals – Volumes of a Solid Figure

7.1 Differential Equation – Verifying Solution

7.2 Integrals – Using Separable Equations in integrating Functions

7.3 Calculus: Constructing Slope Fields for Differential Equation

1.1 Accumulation: FRQ 2004 Form B Question 2

1.2 Accumulation: FRQ 2002 Question 2

1.3. Accumulation: FRQ 2005 Question 2

1.4 Accumulation: FRQ 2004 Question 1

1.5 Accumulation: FRQ 2003 Form B Question 2

2.1 Areas and Volumes: FRQ 2004 Form B Question 1

2.2 Areas and Volumes: FRQ 2003 Question 1

2.3 Areas and Volumes: FRQ 2005 Form B Question 1

2.4 Areas and Volumes: FRQ 2000 Question 1

2.5 Areas and Volumes: FRQ 2008 Form B Question 1

2.7 Areas and Volumes: FRQ 2006 Question 1

3.1 Implicit Differentiation: FRQ 2005 Form B Question 5 07/23/2016

3.2 Implicit Differentiation: FRQ 2015 Question 6

3.3 Implicit Differentiation: FRQ 2004 Question 4

3.4 Implicit Differentiation: FRQ 2000 Question 5

4.1 f'(x) Graph Analysis: FRQ 2013 Question 4

4.2 f'(x) Graph Analysis: FRQ 2011 Question 4

4.3 f'(x) Graph Analysis: FRQ 2000 Question 4

4.4 f'(x) Graph Analysis: FRQ 2010 Question 5

5.1 Application on Derivatives and Integration: FRQ 2003 Question 2

5.2 Application of Derivatives and Integration: FRQ 2004 Question 3

5.3 Application of Derivatives and Integration: FRQ 2002 Form B Question 3

5.4 Application of Derivatives and Integration: FRQ 2007 Question 4

5.5 Application of Derivatives and Integration: FRQ 1989 Question 3

5.6 Application of Derivatives and Integration: FRQ 1999 Question 1

6.1 Differential Equation: 2008 Question 5

6.2 Differential Equation: 2005 Question 6

1.1 Differentiating Categorical Vs Quantitative Variable

1.3 Constructing Stem-and-Leaf Plot (Stem Plot)

* 1.4 Constructing Frequency Distribution Table (FDT) And Ogive

1.5 Measuring Center Of A Distribution

1.6 Measuring Spread, Determining Inter-quartile Range (IQR) and Constructing Box Plot

2.1 Measuring Relative Standing Using Z-Scores

2.2 Using the 68-95-99.7 Rule in Normal Distribution

2.3 Computing for Normal Probability Using the Z-Table

2.4 Computing for Area Under The Curve - Normal Probability Distribution Using Ti84

2.5 Computing for Normal Probability Using Given the Mean and Standard Deviation

3.1 Differentiating Explanatory Vs Response Variable (Scatterplot)

3.3 Interpreting Correlation or the value of "r"

3.4 Writing Linear Model (LSRL) To Predict Outcome

3.5 Generating Linear Model (LSRL) Using Computer Output and Numerical Summary

4.1 Designing Experiments - Population Vs. Statistic

4.2 Designing Experiments - Selection Bias and Lurking Variable vs Confounding Variable

4.3 Randomizing Sample Using Table of Random Numbers or Random Number Generator

4.4 Simulating an Experiment by Using Random Number Generator

5.1 Sample Space & Classical Probability

5.2 Probability Rules (Dependent and Independent Events)

5.4 Conditional Probability Using 2-way Table and General Addition Rule

5.6 Probability Using a Two-way Table, Venn Diagram, and Tree Diagram

6.1 Probability of Discrete Random Variables

6.2 Calculating the Mean and Standard Deviation of a Random Variable

6.3 Verifying and Solving Binomial Probability

6.4 Computing for the Mean and Standard Deviation of a Binomial Distribution

7.1 The Central Limit Theorem (Parameter VS Statistic)

7.2 Computing for the Mean and Standard Deviation of the Mean Sampling Distribution

7.3 Verifying Conditions of the SAMPLE PROPORTION for Normal Approximation

7.4 Computing for the Mean And Standard Deviation of Sample Proportions

8.1 Introduction to Confidence Interval for Population Mean

8.2 Computing for the Confidence Interval for Population Mean

8.3 Computing For The Sample Size to Estimate the Population Mean

8.4 Confidence Interval Using t-distribution for One-Sample Mean (Unknown parameter)

8.6 Computing For Confidence Interval For Population Proportion and Determining Desired Sample Size

8.7 Calculating the Estimation of the Population Parameter on One-Sample Proportion

9.1 Introduction To Hypothesis Testing

9.2 Performing Hypothesis Testing For One-Sample Mean Using Z-test

9.4 Hypothesis Testing for Two-Sample Means

9.5 Interpreting Type I And Type II Errors in Hypothesis Testing

9.6 Performing Hypothesis Testing On One-Sample Proportion

9.7 Performing Hypothesis Testing For Two-Sample Proportions

1.2 One-Step and Two-Step Equation

1.3 Solving Ratio and Proportions

1.4 Solving Literal Equations (Transforming Formula)

1.5 Translating Algebraic Expressions to Numerical Expressions

2.1 Solving Linear Inequalities

2.2 Solving and Graphing Linear Inequalities

2.3 The Coordinate System - Plotting Points in the x-y plane

2.4 Graphing Functions by Modeling (plotting points)

3.1 Finding the Slope of a Line Given 2 Points

3.2 Writing Equation of a Line Given the Slope and Y-intercept

3.3 Using the Slope-Intercept Form in Writing the Equation of a Line

3.4 Finding for the x-intercept and y-intercept

3.5 Graphing Equation of a Line Using the Slope-Intercept Form

3.6 Writing the Equation of a Line Using the Point-Slope Form

4.1 Solving and Graphing Compound Inequality

4.2 Graphing Linear Inequalities

4.3 Solving Linear System by Graphing

4.4 Solving Linear System by Subsitution

2.1 Solving Linear System by Graphing

2.2 Solving Linear System by Substitution

2.3 Solving Linear Systems by Elimination

2.4 Solving Systems of Linear Inequalities

2.5 Introduction to Linear Algebra

2.6 Solving for the Determinants of a 2x2 and 3x3 Matrix

2.7 Using Cramer's Rule to Solve Systems of Linear Equations.

3.1 Classifying Polynomials Using its Standard Form

3.2 Polynomial Operations (adding, subtracting, multiplying)

3.4 Different Techniques in Factoring Polynomials

4.1 Solving Quadratic Equations Using ZPP and Quadratic Formula

4.2 Solving Quadratic by Completing the Square

4.4 Finding Roots of the Polynomial Using the Factor Root Theorem and Remainder Theorem

5.1 Review on Operations on Fractions

5.2 Simplifying Rational Expressions by Factoring

5.3 Multiplying and Dividing Rational Expressions

5.4 Adding and Subtracting Rational Expressions

6.1 Sequences and Series and Factorial Notations

6.3 Constructing Box-and-Whiskers Plot

6.4 Classical Probability Using the Sample Space

7.1 Simplifying Rational Exponents

7.2 Converting Logarithmic Functions to Exponential Equations

7.3 Solving Logarithmic Expressions

2.1 Fraction Operations: Introduction to Rational Expressions

2.2 Simplifying Rational Expressions by Factoring

2.1 Writing Linear Equations in Slope-Intercept Form

2.2 Graphing Equation of a Line in Slope-Intercept Form

4.1 Factoring Using the Greatest Common Factor

4.2 Factoring Quadratics: ax^2 +bx +c, where a=1

4.3 Factoring Quadratics: ax^2 +bx +c, where a>1

4.4 Practice Exercises on Factoring Quadratics

5.1 Simplifying Rational Expressions

5.2 Multiplication and Division of Rational Expressions

5.3 Addition and Subtraction of Rational Expressions

5.4 Practice Exercises on Operations Involving Rational Expressions

2.1 Modeling Functions by Plotting Points

2.2 Describing the Domain and Range

2.3 Graphing Linear Functions using the Slope-Intercept Form

4.3 Factoring Polynomials by its GCF

4.4 Factoring Quadratics Part 1

5.1 Review on Operations with Fractions

5.2 Simplifying Rational Expressions

5.3 Multiplying and Dividing Rational Expressions