Course Description
This course builds on the math skills you have developed in grade 9 to provide an integrated comprehension-based and problem-solving centered approach.
The course includes:
The course comprises 6 units and 30 lessons
Over 10 hours of video-lessons!
Each lesson includes a video lecture, a worksheet, a worksheet review video and an online quiz.
30 video lectures
30 worksheets
30 worksheet review videos with every question solved step-by step by the instructor
30 online quizzes
2 midterm exams (on paper)
1 final exam (on paper)
COURSE GOALS
Upon course completion, you will learn how to:
- work with rational, irrational and complex numbers
- sketch complex numbers in the complex plane
- perform operations on vectors
- examine real-life applications of vectors
- perform operations on matrices
- represent data with matrices
- perform transformations with matrices
- factor polynomials
- divide polynomials by binomials
- use the remainder theorem, the factor theorem, find zeros of polynomials
- use the quadratic formula
- apply the Fundamental Theorem of Algebra
- apply the Binomial Theorem
- create equations
- sketch the graph of a parabola
- solve systems of equations and inequalities
- interpret units in contexts and determine scales on graphs
- examine and apply properties of special quadrilaterals
- apply the Pythagorean Theorem and its converse
- apply theorems about circles
- find arc lengths and areas of sectors
- apply right triangle trigonometry
- convert between SI ans US Standard units
- find surface area and volume of solids
TARGET AUDIENCE
This video-course is primarily intended for 10th grade students who would like to enhance their mathematical skills and knowledge in the integrated Mathematics curriculum.
COURSE REQUIREMENTS
Students taking this course will need to have completed Math for 9th grade or an equivalent Math course prior to enrolling in this course.
UNIT 1 RATIONAL, IRRATIONAL AND COMPLEX NUMBERS
Arithmetic Operations on Complex Numbers
Rational & Irrational Numbers and Rationalizing the Denominator
Complex Numbers
The Arithmetic of Complex Numbers
Complex Numbers in the Complex Plane
UNIT 2 VECTORS
Operations on Vectors
Vectors in Real Life Applications
UNIT 3 MATRICES
Matrix Operations
Representations of Data With Matrices and Inverse Matrices
Transformations with Matrices
UNIT 4 FACTORING AND POLYNOMIALS
Common Factors and Factoring Trinomials
Dividing Polynomials by Binomials
Remainder Theorem, Factor Theorem, Zeros of Polynomials and Graphs
Quadratic Equations with Real Coefficients
Polynomial Identities
The Fundamental Theorem of Algebra
The Binomial Theorem
UNIT 5 EQUATIONS AND INEQUALITIES
Creating Equations
The Parabola
Systems of Equations
Systems of Inequalities
UNIT 6 MEASUREMENT, GEOMETRY AND TRIGONOMETRY
Units in Contexts and Scales of Graphs
Quadrilaterals
The Pythagorean Theorem and Its Converse
Theorems About Circles
Arc Length and Areas of Sectors
Right Triangle Trigonometry and Applications
SI and US Standard Units
Surface Areas of Solids
Volumes of Solids
