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
- Absolute Value
- Adding and Subtracting Complex Numbers
- Composition of Functions
Week 2
- Factoring Polynomials
- Proportions
- Radicals
Week 3
- Comparison of Volumes of Similar Solids
- Central Tendency and Dispersion
- Absolute Value Inequalities
Week 4
- Fill in the missing angle
- Arc Length and Radian Measure
- Absolute Value of Complex Numbers
Week 5
- Completing the Square
- Trigonometric Functions
- Absolute Value of Complex Numbers
Week 6
- Trigonometric Ratios
- Solving Quadratic Equations
- Solving Quadratic Equations with Complex Roots
Week 7
- Multiplying and Dividing Complex Numbers
- Multiplying and Dividing Complex Numbers
- Multiplying Rational (Fractional) Expressions
Week 8
- Angle Sum and Difference, Double Angle and Half Angle Formulas
- Powers of i
- Scale Drawing
Week 9
- Sequences
- Permutations and Combinations
- Length of a Line Segment - Distance
Week 10
- Linear - Quadratic Systems
- Area of Triangle Using Trigonometry
- Arithmetic and Geometric Sequences and Series
Week 11
- Binomial Probability
- Adding and Subtracting Rational (Fractional) Expressions
- Trigonometric Equations
Week 12
- Direct Variation
- Theoretical and Empirical Probabilities
- Evaluating Rational (Fractional) Exponents
Week 13
- Trigonometric Word Problems
- Working with Right Triangles
- Graphs Dealing with Sine and Cosine
Week 14
- Graphs Dealing with Tangent, Cotangent, Secant, Cosecant
- Nature of Roots - Sum and Product
- Absolute Value Equations
Week 15
- Normal Distribution and Standard Deviation
- Exponential Functions
- Absolute Value Inequalities
Week 16
- Logarithmic Functions
- Cosine: Find the value of x
- Direct and Inverse Variation
Week 17
- Absolute Value Equations
- Functions - Domain and One-to-one, Onto
- Functions - Recognize and Evaluate
Week 18
- Graphing Complex Numbers
- Division of Rational (Fractional) Expressions
- CoFunctions
Week 19
- Logarithmic Equations
- Logarithmic Expressions
- Inverse Functions
Week 20
- Reference Angles and Triangles
- Rational Equations
- Exponential Expressions and Equations
Week 21
- The Discriminant
- Law of Cosines
- Recursive Sequences
Week 22
- Rational (Fractional) Exponents
- Special Right Triangles (Geometry emphasis)
- Graphically Represent the Inverse of a Function
Week 23
- Special Right Triangles (Trigonometry emphasis)
- Law of Sines
- Simplifying Rational (Fractional) Expressions
Week 24
- Simplifying Complex Fractions/Expressions
- Graphs of Polynomial Equations of Higher Degree
- Imaginary Unit and Standard Complex Form
Week 25
- Rational Inequalities
- Inverse Trigonometry Functions
- Equations of Circles
Week 26
- Pythagorean Identities
- Quadratic Inequalities
- Positive, Negative and Zero Exponents
Week 27
- Law of Sines and the Ambiguous Case
- Radical Equations
- Simplifying Square Roots with Negative Numbers
Week 28
- Sigma Notation and Series
- Rationalizing Denominators with Radicals
- Regression Analysis
Week 29
- Similar Polygons: Ratio of Perimeters & Areas
- Solving Combinations of Variations
- The Binomial Theorem
Week 30
- Transformations with Functions
- Polynomial Equations of Higher Degree
- Graphs of Circles