Course Description
Math for 11th grade builds your intermediate algebra skill on working with linear, quadratic, and exponential functions. The course extends on the topics of functions which include polynomial, rational, radical, logarithmic, exponential, and trigonometric functions. You will also work closely with the expressions that define the functions, and continue to expand and hone your abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms.
Course Goals
Upon completion of this course, students will be prepared to move on to math courses which demands strong algebra skills such as: calculus, statistics, trigonometry, analytic geometry, precalculus, linear algebra, and some college courses like calculus 1, calculus 2, and introductory statistics.
Course Requirements
Student taking this course are expected to have basic algebra skills such as solving linear equation, factoring quadratics, and simplifying rational expressions.
Target Audience
This video course is primarily intended for students who are interested in taking higher math elective classes at the high school and math classes in college. This course will also help students in building their mathematical and analytical skills which will prepare them in taking other courses in mathematics and the sciences.
Technology
Some of the math topics covered in this course use Ti-84 or Ti-83 in solving math problems. The use of any mobile apps like Desmos can also be helpful in understanding behavior of functions through its graph.
Course Includes
• 18 hours of video
• 97 in depth video lessons (I slowly explain each new concept)
• 58 worksheets
• 58 worksheet review videos (I explain each answer step by step)
• Over 400 exercises
• Answer keys to all tests (at the bottom of the worksheet)
Suggested routine in learning math for 11th grade curriculum:
Step 1) Watch the lesson video.
Step 2) Copy the lesson video in your notebook
Step 2) Download the worksheets and work on the assigned problems.
Step 3) Watch the Worksheet Review Video to compare your answers using the teacher’s worked out math solutions.
SECTION 1: COMPLEX NUMBERS AND FACTORING
LESSON 1 - Complex numbers
LESSON 2 - Special role of zero in factoring
LESSON 3 - Mastering Factoring
LESSON 4 - Solving Radical Equations
LESSON 5 - Properties of Exponents and Radicals
SECTION 2: POLYNOMIALS, RADICALS, AND RATIONALS
LESSON 6 - Arithmetic operations on polynomials
LESSON 7 - Remainder and factor root theorems
LESSON 8 - Simplifying Rational Expressions
LESSON 9 - Multiplying and dividing rational expressions
LESSON 10 - Adding and subtracting rational expressions
LESSON 11 - Square root of positive radical expressions
SECTION 3: SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
LESSON 12 - Solving systems of linear inequalities
LESSON 13 - Solving systems using graphing method
LESSON 14 - Solving systems using substitution method
LESSON 15 - Solving systems using elimination method
LESSON 16 - Finding the determinants of a linear system
LESSON 17 - Solving systems of equations using Cramer’s Rule
SECTION 4: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
LESSON 18 - Factoring quadratic equations
LESSON 19 - Solving special cases of quadratic equations
LESSON 20 - Solving non-factorable quadratic equations
LESSON 21 - Evaluating logarithmic expressions
LESSON 22 - Properties of logarithms
LESSON 23 - Solving logarithmic equations
LESSON 24 - Graph and solutions of exponential functions
LESSON 25 - Transformations of the graphs of logarithmic functions
SECTION 5: FUNCTION OPERATIONS AND ANALYSIS
LESSON 26 - Modeling a function
LESSON 27 - Function arithmetic operations
LESSON 28 - Composite Functions
LESSON 29 - Solving and graphing inverse of a function
LESSON 30 - Graphing trigonometric functions
SECTION 6: STATISTICS AND PROBABILITIES
LESSON 31 - Classical probability
LESSON 32 - Conditional probability
LESSON 33 - Probability of events given a venn diagram
LESSON 34 - Using probability rules
LESSON 35 - Measure of center, shape, and spread.
LESSON 36 - Using Normal distribution: 68-95-99.7 percent rule
LESSON 37 - Computing for percentile of a Normal curve
LESSON 38 - Computing Normal probability
LESSON 39 - Differentiating populations and sample.
