Course Description
This course builds on the math skills you have developed in middle school to provide an integrated comprehension-based and problem-solving centered approach. This math course covers the entire ninth grade!
The course includes:
The course comprises 7 units and 30 lessons
Over 9 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
30 answer keys for the online quizzes
2 midterm exams (on paper)
1 final exam (on paper)
The solutions to online quizzes, midterm exams and final exam are uploaded under Resources.
COURSE GOALS
Upon course completion, you will learn how to:
- work with sets and set operations
- solve set problems
- recognize and work with natural numbers, integers, rational numbers, irrational numbers and real numbers
- apply properties of arithmetic operations
- calculate additive inverses, reciprocals and evaluate exponential expressions
- work with exponents and radicals
- work with propositions, simplify propositions and express truth tables
- find the inverse, converse and contrapositive of a conditional statement and express a biconditional statement
- simplify algebraic expressions by combining like terms
- solve multistep linear equations and inequalities
- solve word problems with multistep linear equations and inequalities
- define absolute value
- solve absolute value equations and inequalities
- calculate slope
- write an equation of a line and sketch its graph
- solve and graph systems of linear equations and inequalities
- add, subtract, multiply and divide polynomials and rational expressions
- factor polynomials
- apply properties about angles in triangles, polygons and on parallel lines
- work with the triangle inequality and the Pythagorean theorem
- find missing lengths of sides in 30-60-90 and 45-45-90 triangles
- prove statements about congruence and similarity
- use congruence and similarity postulates and theorems to find missing parts of a triangle
- find the area of a triangle
TARGET AUDIENCE
This video-course is primarily intended for 9th 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 8th grade or an equivalent Math course prior to enrolling in this course.
UNIT 1 SETS AND NUMBER SETS
Sets and Set Operations
Set Problems
Number Sets
UNIT 2 OPERATIONS AND PROPOSITIONS
Properties of Arithmetic Operations
Opposites, Reciprocals and Exponents
Properties of Exponents and Radicals
Propositions
Conditionals and Biconditionals
UNIT 3 LINEAR EQUATIONS AND INEQUALITIES
Variables, Like Terms, Simplifying Algebraic Expressions
Multistep Linear Equations
Multistep Linear Inequalities
Word Problems with Multistep Linear Equations
Word Problems with Multistep Linear Inequalities
UNIT 4 ABSOLUTE VALUE
Absolute Value
Absolute Value Equations
Absolute Value Inequalities
UNIT 5 GRAPHS OF LINEAR EQUATIONS AND INEQUALITIES
Equations of Lines
Systems of of Linear Equations and Their Graphs
Systems of Linear Inequalities and Their Graphs
UNIT 6 POLYNOMIALS AND RATIONAL EXPRESSIONS
Operations with Polynomials
Long Division of Polynomials
Factoring Polynomials
Sum and Difference of Cubes
Rational Expressions: Addition and Subtraction
Rational Expressions: Multiplication and Division
UNIT 7 GEOMETRY OF TRIANGLES
Angles in Triangles and on Parallel Lines
The Triangle Inequality and The Pythagorean Theorem
Special Right Triangles
Congruent and Similar Triangles
Area of a Triangle
