## Pass the FTCE Middle Grades Mathematics Test With Excellent Results!

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## Quality Math Instruction From a Teacher You Can Trust

Bachelors Degree in Mathematics

Masters Degree in Educational Technology

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## What You’ll Learn In the FTCE Middle Grades Math Prep Course

Our **FTCE Middle Grades Mathematics 5-9 Test Prep Course** is designed to equip you with the skills and knowledge needed to conquer the math section of your teacher certification exam. Our course content is tailored to mirror the exact math topics you’ll encounter in your **FTCE Middle Grades Mathematics** exam. We leave no stone unturned, covering everything you need to know.

### TRY BEFORE YOU BUY WITH OUR FREE PREVIEWS

**FTCE Middle Grades Mathematics Prep Course Curriculum**

**Chapter 1: Basic Algebra (Review)**

- 1.1 Adding Real Numbers
- 1.2 Subtracting Real Numbers
- 1.3 Multiplying and Dividing Real Numbers
- 1.4 Distributive Property
- 1.5 Simplifying by Combining Like Terms
- PREVIEW: 1.6 One Step Equations
- PREVIEW: 1.7 Solving Two Step Equations
- PREVIEW: 1.8 Solving Multi-Step Equations
- 1.9 Formulas and Literal Equations
- 1.10 Linear Inequalities
- 1.11 Compound Inequalities
- 1.12 Introduction to Absolute Value
- 1.13 Solving Absolute Value Equations
- 1.14 Absolute Value Inequalities
- 1.15 Graphing Absolute Value Equations
- Extra Practice – 4 Worksheet Files
- Chapter Review Notes – 4 Note Files
- Chapter Quiz 1-1
- Chapter Quiz 1-2
- Chapter Quiz 1-3
- Chapter Quiz 1-4
- Quiz Key 1-1
- Quiz Key 1-2
- Quiz Key 1-3
- Quiz Key 1-4

**Chapter 2: Graphing and Writing Linear Equations**

- 2.1 Graphing Lines with One Variable
- 2.2 Graphing Lines with Two Variables
- 2.3 The Slope of a Line
- 2.4 Slope Intercept Method
- 2.5 XY Intercept Method
- 2.6 Writing the Equations of Lines -Using Slope-Intercept Form
- 2.7 Writing the Equations of Lines -Using Point-Slope intercept
- 2.8 Writing the Equations of Lines -Given the Slope and a Point
- 2.9 Writing the Equations of Lines -Given Two Points
- 2.10 Standard Form of Linear Equations
- 2.11 Best Fitting Lines and Scatter Plots
- 2.12 Linear Models/Word Problems
- 2.13 Graphing Linear Inequalities in Two Variables
- Extra Practice – 2 Worksheet Files
- Chapter Review Notes – 2 Note Files
- Chapter Quiz 2-1
- Chapter Quiz 2-2
- Quiz Key 2-1
- Quiz Key 2-2

**Chapter 3: Systems**

- 3.1 Solving Systems by Graphing
- 3.2 Solving Systems Substitution Method
- 3.3 Solving Systems by Elimination/Linear Combination
- 3.4 Solving Linear System Word Problems
- 3.5 Special Linear Systems
- 3.6 Solving Systems of Linear Inequalities
- PREVIEW: 3.7 Linear Programming
- Extra Practice
- Chapter Review Notes
- Chapter 3 Quiz
- Quiz Key 3

**Chapter 4: Matrices and Determinants**

- 4.1 Introduction to Matrices
- PREVIEW: 4.2 Matrix Operations
- 4.3 Matrix Multiplication
- 4.4 Determinants
- 4.5 Identity and Inverse Matrices
- 4.6 Solving Systems using Inverse Matrices
- 4.7 Solving Systems using Cramer’s Rule
- Extra Practice
- Chapter Review Notes
- Chapter 4 Quiz
- Quiz Key 4

**Chapter 5: Quadratic Equations and Complex Numbers**

- 5.1 Introduction to Quadratic Equations
- 5.2 Solving Quadratic Equations by Square Roots
- 5.3 Graphing Quadratic Equations
- 5.4 The Quadratic Formula
- 5.5 Solving Quadratic Equations by Factoring
- 5.6 The Discriminant – Types of Roots
- 5.7 Completing the Square
- 5.8 Quadratic Equation Word Problems
- 5.9 Graphing Quadratic Inequalities
- 5.10 Complex and Imaginary Numbers
- Extra Practice
- Chapter Review Notes
- Chapter 5 Quiz
- Quiz Key 5

**Chapter 6: Functions and Relations**

- 6.1 Introduction to Functions and Relations
- 6.2 Function Operations
- 6.3 Inverse Functions
- 6.4 Graphing Functions
- 6.5 Linear and Nonlinear Functions
- 6.6 Special Functions
- 6.7 Composite Functions
- 6.8 Interval and Set Builder Notation
- 6.9 Function Symmetry
- 6.10 Transformations of Functions
- 6.11 Function and Relation Analysis (Finding Domain/Range)
- Extra Practice
- Chapter Review Notes- 2 Note Files
- Chapter 6 Quiz
- Quiz Key 6

**Chapter 7: Powers and Radicals**

- 7.1 Product and Power Rules of Exponents
- 7.2 Negative and Zero Exponents Rules
- 7.3 Division Rules of Exponents
- 7.4 Scientific Notation
- 7.5 Compound Interest
- 7.6 Simplifying Radicals
- 7.7 Operations with Radicals
- 7.8 Solving Radical Equations
- 7.9 Operations and Equations with Rational Exponents
- 7.10 The Distance and Mid-Point Formula
- 7.11 The Pythagorean Theorem
- Extra Practice – 2 Worksheet Files
- Chapter Review Notes – 2 Note Files
- Chapter Quiz 7-1
- Chapter Quiz 7-2
- Quiz Key 7-1
- Quiz Key 7-2

**Chapter 8: Logarithmic and Exponential Functions**

- 8.1 Exponential Growth and Decay Functions
- PREVIEW: 8.2 Introduction to Logarithms
- 8.3 Properties of Logarithms
- 8.4 The Natural Base e
- 8.5 Natural Logarithms
- 8.6 Solving Logarithmic Equations
- 8.7 Solving Exponential Equations
- Extra Practice
- Chapter Review Notes
- Chapter 8 Quiz
- Quiz Key 8

**Chapter 9: Polynomial Functions**

- 9.1 Introduction to Polynomials
- 9.2 Adding and Subtracting Polynomials
- 9.3 Multiplying Polynomials
- 9.4 Multiplying Polynomials Special Cases
- 9.5 Sum and Difference of Two Cubes
- 9.6 Factoring Greatest Common Factor
- 9.7 Factoring Quadratic Trinomials
- 9.8 Special Factoring Rules
- 9.9 Graphing Polynomials
- 9.10 Solving Polynomial Equations by Factoring
- 9.11 Polynomial Division (Long and Synthetic Division)
- 9.12 Remainder and Factor Theorem
- 9.13 Rational Root Theorem (Rational-Zero Test)
- 9.14 Solving n-degree Polynomials (Fundamental Theorem of Algebra)
- 9.15 Descartes’ Rule of Signs and Bounds
- Extra Practice – 2 Worksheet Files
- Chapter Review Notes – 2 Note Files
- Chapter Quiz 9-1
- Chapter Quiz 9-2
- Quiz Key 9-1
- Quiz Key 9-2

**Chapter 10: Rational Expressions/Equations**

- 10.1 Ratios and Proportions
- 10.2 Percent
- 10.3 Direct and Inverse Variation
- 10.4 Simplifying Rational Expressions
- 10.5 Multiplying and Dividing Rational Expressions
- 10.6 Finding the LCD of Rational Expressions
- 10.7 Solving Rational Equations
- 10.8 Adding and Subtracting Rational Expressions
- 10.9 Graphing Rational Functions (Vertical and Horizontal Asymptotes)
- Extra Practice
- Chapter Review Notes
- Chapter 10 Quiz
- Quiz Key 10

**Chapter 11: Data, Measurement and Probability**

- 11.1 Units of Measure and Conversion
- PREVIEW: 11.2 Measures of Central Tendency- Mean, Median and Mode
- 11.3 Exploring Data- Charts, Tables, Graphs and Plots
- 11.4 Introduction To Probability
- 11.5 Counting Theory
- 11.6 Probability of Independent, Dependent and Mutually Exclusive Events
- 11.7 Permutations and Combinations
- Chapter Review Notes
- Chapter 11 Quiz
- Quiz Key 11

**Chapter 12: Sequence and Series**

- 12.1 Introduction to Sequence and Series
- 12.2 Arithmetic Sequence and Series
- 12.3 Geometric Sequence and Series
- 12.4 Infinite Geometric Series
- 12.5 The Binomial Theorem
- Chapter Review Notes
- Chapter 12 Quiz
- Quiz Key 12

**Chapter 13: Foundations for Geometry**

- 13.1 Points, Lines and Planes
- 13.2 Line Segments and Rays
- PREVIEW: 13.3 Angles
- 13.4 Theorems and Postulates
- Chapter Review Notes
- Chapter 13 Quiz
- Quiz Key 13

**Chapter 14: Reasoning and Proof**

- 14.1 Conditional Statements and Converses
- 14.2 Algebra Properties
- 14.3 Deductive and Inductive Reasoning
- 14.4 More on Angles and Lines
- 14.5 How to Plan and Write a Proof
- Chapter Review Notes
- Chapter 14 Quiz
- Quiz Key 14

**Chapter 15: Perpendicular and Parallel Lines, Polygons**

- 15.1 Parallel Lines and Transversals
- 15.2 Properties of Parallel and Perpendicular Lines
- 15.3 Proving Lines Parallel
- 15.4 Introduction to Polygons
- Chapter Review Notes
- Chapter 15 Quiz
- Quiz Key 15

**Chapter 16: Congruent Triangles**

- 16.1 Congruent Figures
- 16.2 Proving Congruent Triangles: Side-Side-Side and Side-Angle-Side Theorem
- 16.3 Proving Congruent Triangles: Angle-Side-Angle and Angle-Angle-Side Theorem
- PREVIEW: 16.4 Proving Congruent Triangles: Hypotenuse-Leg Theorem
- Chapter Review Notes
- Chapter 16 Quiz
- Quiz Key 16

**Chapter 17: Properties of Triangles**

- 17.1 Medians, Altitudes and Bisectors
- 17.2 Bisector Theorems
- 17.3 Triangle Inequalities
- Chapter Review Notes
- Chapter 17 Quiz
- Quiz Key 17

**Chapter 18: Quadrilaterals**

- 18.1 Parallelograms
- 18.2 Proving Quadrilaterals are Parallelograms
- 18.3 Trapezoids
- 18.4 Special Quadrilaterals
- 18.5 Quadrilaterals, Triangles and Midpoints
- Chapter Review Notes
- Chapter 18 Quiz
- Quiz Key 18

**Chapter 19: Similarity**

- 19.1 Ratios and Proportions
- 19.2 Similar Polygons
- 19.3 Similar Triangles
- Chapter Review Notes
- Chapter 19 Quiz
- Quiz Key 19

**Chapter 20: Transformations**

- 20.1 Reflections
- 20.2 Rotations and Dilations
- 20.3 Translations and Glide Reflections
- Chapter Review Notes
- Chapter 20 Quiz
- Quiz Key 20

**Chapter 21: Right Triangles and Trigonometry**

- 21.1 Similar Right Triangles
- 21.2 The Pythagorean Theorem
- 21.3 Special Right Triangles
- 21.4 Trigonometric Ratios
- 21.5 Right Triangle Word Problems
- Chapter Review Notes
- Chapter 21 Quiz
- Quiz Key 21

**Chapter 22: Circles**

- 22.1 Introduction to Circles and Tangents
- 22.2 Arcs and Chords
- PREVIEW: 22.3 Inscribed Angles
- 22.4 Other Angle Relationships in Circles
- 22.5 Segment Lengths and Circles
- Chapter Review Notes
- Chapter 22 Quiz
- Quiz Key 22

**Chapter 23: Area and Volume**

- 23.1 Area of Basic Figures
- 23.2 Surface Area of Basic Figures
- 23.3 Volume of Basic Figures
- 23.4 Area of Regular Polygons
- 23.5 Area of Circles/Sectors and Arc Length
- Chapter Review Notes
- Chapter 23 Quiz
- Quiz Key 23

**Chapter 24: Conic Sections**

- 24.1 Circles (Conic Sections)
- 24.2 Parabolas (Conic Sections)
- 24.3 Ellipses (Conic Sections)
- 24.4 Hyperbolas (Conic Sections)
- 24.5 Translations of Conic Sections
- Chapter Review Notes
- Chapter 24 Quiz
- Quiz Key 24

**Chapter 25: Trigonometry**

- 25.1 Trigonometric Ratios
- 25.2 Angles of Rotation and Radian Measure
- 25.3 Evaluating Trigonometric Functions
- 25.4 Inverse Trigonometric Functions
- 25.5 Graphs of Sine and Cosine Functions
- 25.6 Laws of Sine and Cosine
- 25.7 Trigonometric Identities
- 25.8 Solving Trigonometric Equations
- Chapter Review Notes
- Chapter 25 Quiz
- Quiz Key 25

Hello, I'm **John Zimmerman**, a certified math teacher with **20+ years of experience. I developed TabletClass to help students of all ages achieve math excellence, and I can help you too! **

My passion is helping students succeed in math, especially those who struggle with it. I've dedicated years to develop the right approach to teaching and why I continue to teach math daily on **YouTube—498K+ Subscribers & 70M+ Views and growing!**

Check out my course and **let's get you started on the right path to reaching your educational and career goals!**