Grade Twelve Math Curriculum

In what order should Grade Twelve students complete math lessons? We decided to create our own Grade Twelve math curriculum. Following the math worksheets and lessons in this order will make it easy for parents, teachers, and most of all students.

The curriculum guide is broken into two topics per week. This is a good pace for Grade Eight students during the school year. Over the summer, you might want to do two weeks of work every week. Just follow the weeks in order to follow the curriculum guide.

If your student is more advanced than the early weeks, fill free to skip ahead. We would suggest that it is perfectly alright and even advantageous to allow students to succeed early on. As it will help them to build "math confidence".

Week 1

  1. Absolute Value
  2. Adding and Subtracting Complex Numbers
  3. Composition of Functions

Week 2

  1. Factoring Polynomials
  2. Proportions
  3. Radicals

Week 3

  1. Comparison of Volumes of Similar Solids
  2. Central Tendency and Dispersion
  3. Absolute Value Inequalities

Week 4

  1. Fill in the missing angle
  2. Arc Length and Radian Measure
  3. Absolute Value of Complex Numbers

Week 5

  1. Completing the Square
  2. Trigonometric Functions
  3. Absolute Value of Complex Numbers

Week 6

  1. Trigonometric Ratios
  2. Solving Quadratic Equations
  3. Solving Quadratic Equations with Complex Roots

Week 7

  1. Multiplying and Dividing Complex Numbers
  2. Multiplying and Dividing Complex Numbers
  3. Multiplying Rational (Fractional) Expressions

Week 8

  1. Angle Sum and Difference, Double Angle and Half Angle Formulas
  2. Powers of i
  3. Scale Drawing

Week 9

  1. Sequences
  2. Permutations and Combinations
  3. Length of a Line Segment - Distance

Week 10

  1. Linear - Quadratic Systems
  2. Area of Triangle Using Trigonometry
  3. Arithmetic and Geometric Sequences and Series

Week 11

  1. Binomial Probability
  2. Adding and Subtracting Rational (Fractional) Expressions
  3. Trigonometric Equations

Week 12

  1. Direct Variation
  2. Theoretical and Empirical Probabilities
  3. Evaluating Rational (Fractional) Exponents

Week 13

  1. Trigonometric Word Problems
  2. Working with Right Triangles
  3. Graphs Dealing with Sine and Cosine

Week 14

  1. Graphs Dealing with Tangent, Cotangent, Secant, Cosecant
  2. Nature of Roots - Sum and Product
  3. Absolute Value Equations

Week 15

  1. Normal Distribution and Standard Deviation
  2. Exponential Functions
  3. Absolute Value Inequalities

Week 16

  1. Logarithmic Functions
  2. Cosine: Find the value of x
  3. Direct and Inverse Variation

Week 17

  1. Absolute Value Equations
  2. Functions - Domain and One-to-one, Onto
  3. Functions - Recognize and Evaluate

Week 18

  1. Graphing Complex Numbers
  2. Division of Rational (Fractional) Expressions
  3. CoFunctions

Week 19

  1. Logarithmic Equations
  2. Logarithmic Expressions
  3. Inverse Functions

Week 20

  1. Reference Angles and Triangles
  2. Rational Equations
  3. Exponential Expressions and Equations

Week 21

  1. The Discriminant
  2. Law of Cosines
  3. Recursive Sequences

Week 22

  1. Rational (Fractional) Exponents
  2. Special Right Triangles (Geometry emphasis)
  3. Graphically Represent the Inverse of a Function

Week 23

  1. Special Right Triangles (Trigonometry emphasis)
  2. Law of Sines
  3. Simplifying Rational (Fractional) Expressions

Week 24

  1. Simplifying Complex Fractions/Expressions
  2. Graphs of Polynomial Equations of Higher Degree
  3. Imaginary Unit and Standard Complex Form

Week 25

  1. Rational Inequalities
  2. Inverse Trigonometry Functions
  3. Equations of Circles

Week 26

  1. Pythagorean Identities
  2. Quadratic Inequalities
  3. Positive, Negative and Zero Exponents

Week 27

  1. Law of Sines and the Ambiguous Case
  2. Radical Equations
  3. Simplifying Square Roots with Negative Numbers

Week 28

  1. Sigma Notation and Series
  2. Rationalizing Denominators with Radicals
  3. Regression Analysis

Week 29

  1. Similar Polygons: Ratio of Perimeters & Areas
  2. Solving Combinations of Variations
  3. The Binomial Theorem

Week 30

  1. Transformations with Functions
  2. Polynomial Equations of Higher Degree
  3. Graphs of Circles