We at Time4Learning view ourselves as partners with parents in ensuring that students finish high school with the skills they need to be successful in college level courses. For mathematics, in particular, that means providing a standards-based, college-prep program that is focused on the major math concepts while using many different types of multimedia tools to engage students and inspire a greater interest in mathematics.

## Which Math Courses Should a 12th Grader Take?

For students aiming for college, 3-4 years of mathematics are recommended during high school.  By 12th grade, most students will have completed Algebra I, Algebra II, and Geometry, so high school seniors may want to focus on a higher level mathematics course such as Precalculus or Trigonometry.

Students taking an advanced mathematics course will learn concepts like:

• Graphing exponential and logarithmic functions
• Probability distributions
• Sequences, series, and proofs by induction
• Trigonometric functions, transformations, and reciprocal functions
• Solving trigonometric equations
• Vectors and vector operations

## Objectives for High School 12th Grade Math

With STEM (Science, Technology, Engineering, and Math) careers at an all time high, it is more important than ever that high school students enter college with a strong foundation in mathematics. 12th graders who take an advanced math course during their senior year give themselves a leg up in the college admissions process–particularly if they will be majoring in a math or science-related field.

To be college-ready, grade 12 math practice should focus on building skills such as:

• Reasoning abstractly and quantitatively
• Statistical modeling
• Using appropriate tools strategically
• Modeling with probability
• Visualizing graphs of functions
• Solving systems of equations

## Time4Learning 12th Grade Math Scope & Sequence

#### Chapter 1: “Equations and Inequalities”

• Graphing Linear Equations
• Writing Linear Equations
• Writing Equations of Parallel and Perpendicular Lines
• Solving Equations Graphically
• Applications of Equations
• Inequalities
• Graphing Linear Inequalities

#### Chapter 2: “Systems of Equations and Inequalities”

• Solving Systems of Equations in Two Variables
• Solving Systems of Equations in Three Variables
• Matrices
• Matrix Operations
• Modeling Motion with Matrices
• Determinants and Multiplicative Inverses of Matrices
• Solving Systems of Linear Inequalities
• Linear Programming

#### Chapter 3: “Functions and Graphs”

• Functions and Their Properties
• Operations with Functions
• Twelve Basic Functions
• Piecewise Functions
• Graphs and Transformations

#### Chapter 4: “The Nature of Graphs”

• Symmetry and Coordinate Graphs
• Families of Graphs
• Graphs of Nonlinear Inequalities
• Inverse Functions and Relations
• Graphs of Rational Functions
• Direct, Inverse, and Joint Variation

#### Chapter 5: “Polynomial and Rational Functions”

• Polynomial Division
• The Remainder and Factor Theorems
• Fundamental Polynomial Connections
• The Rational Root Theorem
• Locating Zeros of Polynomial Function
• Complex Numbers
• Rational Equations and Partial Fractions

#### Chapter 6: “Exponential and Logarithms Functions”

• Properties of Exponents
• Exponential and Logistic Functions
• The Number e
• Logarithmic Functions and Their Graphs
• Properties and Laws of Logarithms
• Solving Exponential and Logarithmic Equations

#### Chapter 7: “Trigonometric Functions”

• Angles and Degree Measure
• Trigonometric Ratios in Right Triangles
• Trigonometric Functions on the Unit Circle
• Applying Trigonometric Functions
• Solving Right Triangles
• Cumulative Exam

#### Chapter 8: “Trigonometric Graphs”

• Graphs of Sine and Cosine: Sinusoids
• Graphs of Tangent, Cotangent, Secant, and Cosecant
• Graphs of Composite Trigonometric Functions
• Periodic Graphs and Amplitude
• Periodic Graphs and Phase Shifts
• Trigonometric Inverses and Their Graphs

#### Chapter 9: “Trigonometric Identities”

• The Law of Sines
• The Ambiguous Case for the Law of Sines
• The Law of Cosines
• Basic Trigonometric Identities
• Verifying Trigonometric Identities
• Sum and Difference Identities
• Double-Angle and Half-Angle Identities
• Solving Trigonometric Equations
• Normal Form of a Linear Equation
• Distance from a Point to a Line

#### Chapter 10: “Vectors, Parametric Equations and Polar Equations”

• Geometric Vectors
• Algebraic Vectors
• Dot Products of Vectors
• Vectors in Three-Dimensional Space
• Perpendicular Vectors
• Vectors and Parametric Equations
• Polar Coordinates
• Graphs of Polar Equations
• De Moivre’s Theorem and nth Roots

#### Chapter 11: “Conics”

• Circles and Parabolas
• Ellipses
• Hyperbolas
• Classifications and Rotations of Conics
• Polar Equations of Conics
• Three-Dimensional Cartesian Coordinate System

#### Chapter 12: “Statistics and Probability”

• Basic Statistics
• Measures of Center and Spread
• Basic Probability
• Determining Probabilities
• Normal Distributions

#### Chapter 13: “Sequences and Series”

• Arithmetic Sequences and Series
• Geometric Sequences and Series
• Infinite Sequences and Series
• Convergent and Divergent Series
• Sigma Notation and the nth Term
• The Binomial Theorem
• Special Sequences and Series
• Sequences and Iteration
• Mathematical Induction

#### Chapter 14: “Introduction to Calculus”

• Limits of Functions
• Properties of Limits
• Continuity
• Limits Involving Infinity
• Derivatives and Antiderivatives
• Area Under a Curve
• The Fundamental Theorem of Calculus
• Cumulative Exam

## Why Choose Time4Learning 12th Grade Math Homeschool Curriculum?

Time4Learning’s standards-based curriculum covers all of the 12th grade math learning targets listed above, plus many, many more. The advanced math courses included in our curriculum boost the critical thinking and analytical skills students will need in post-secondary education.

PreK - 5th

\$29.95
• Monthly, per student

6th - 12th

\$39.95
• Monthly, per student

### 30% off each additional student

Discount applied to the student(s) of equal or lesser value.

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