Mathematics

Introduction to Counting and Probability

This class will teach students in grades 7-10 the foundations of counting and probability. Students will learn a variety of topics that expand beyond the regular school curriculum. Students will finish the course with an in-depth knowledge of permutations; combinations; probability; Pascal’s Triangle and the Binomial Theorem.

Chapter 1: Counting is Arithmetic
arrow
Counting by addition and multiplication, permutations
Chapter 2: Basic Counting Techniques
arrow
Count by cases, Complementary counting, constructive counting, counting with restrictions
Chapter 3: Correcting for Overcounting
arrow
Permutations with repeated elements, counting pairs and with symmetry
Chapter 4: Committees and Combinations
arrow
Combinations
Chapter 5: More with Combinations
arrow
Counting Paths on a grid, number of ways to form committee, distinguishability
Chapter 6: Some Harder Counting Problems
arrow
Solving advanced counting problems
Chapter 7: Introduction to Probability
arrow
Probability of equally likely outcomes, applications with counting techniques
Chapter 8: Basic Probability Techniques
arrow
Complementary probabilities, dependent event
Chapter 9: Think about it!
arrow
Learn faster approach to solve probability problems
Chapter 10: Geometric probability
arrow
Probability involving lengths and areas
Chapter 11: Expected Value
arrow
Definition and properties of expected value
Chapter 12: Pascal’s Triangle
arrow
Construction of Pascal’s triangle, relationship with combinatorics
Chapter 13: The hockey stick identity
arrow
Derivation of the hockey stick identity, and its application
Chapter 14: Binomial Theorem
arrow
Derivation and application of the binomial theorem
Chapter 15: More Challenging Problems
arrow
Hard problems in counting that use combinations of topics above

Learn from the best

Passion for tech. Unmatched expertise. Personality that brings out the absolute best in your child. We know there's no replacement for the best teacher. It's no surprise that iconic companies like Google, Amazon, Microsoft, and Disney hire the same talent we do. Our Geek Certified instructors possess the whole package of skills that inspires students for the Tech World!

university icon
Recruited from top universities and leading IT companies
verified icon
Rigorous background and reference checks
certified icon
Geekedu Certified professional level
experienced icon
Verified teaching experience

What our parents say

This Course is for Grade 5-Grade 9 Students who want to advance their knowledge in counting and probability.

Graph Icon - Education X Webflow Template
Level: 
AGES 10 - 15
Star Icon - Education X Webflow Template
Lifetime Access
Phone Icon - Education X Webflow Template
Online 1-on-1 Private Sessions

This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.

Sign up and get a 60-minute free assessment class

Book A FREE Trial
Other courses

You Might Also Be Interested In Our Elective Courses

Python Level 1
AGES 10 - 15

Designed for beginners, this level is designed to teach the basic fundamentals and design principles of Python, with the help of Turtle graphics and PyGame. This includes: variables, conditional statements, loop basics, and functions.

These concepts are transferable to any other programming language. Throughout the way, students will create projects in order to apply the concepts they have learned, and to solidify their knowledge.

Python Level 2
AGES 10 - 15

Level 2 dives deeper into the basics of Python for a more thorough understanding and introduces advanced topics. Students will build on knowledge from Level 1 and work with data structures, advanced loops, algorithms, and object-oriented programming, and create games based on what they learn.

Students will complete the course with a solid understanding of Python fundamentals.

Java Level 1
AGES 10 - 15

This beginner-friendly course serves as an introduction to the Java programming language. Students will learn the fundamentals of Java along with core computer science concepts.