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.

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

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.

Counting by addition and multiplication, permutations

Count by cases, Complementary counting, constructive counting, counting with restrictions

Permutations with repeated elements, counting pairs and with symmetry

Combinations

Counting Paths on a grid, number of ways to form committee, distinguishability

Solving advanced counting problems

Probability of equally likely outcomes, applications with counting techniques

Complementary probabilities, dependent event

Learn faster approach to solve probability problems

Probability involving lengths and areas

Definition and properties of expected value

Construction of Pascal’s triangle, relationship with combinatorics

Derivation of the hockey stick identity, and its application

Derivation and application of the binomial theorem

Hard problems in counting that use combinations of topics above

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.

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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.

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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. Concepts covered in this course include **Java syntax**, types and **identifiers**, **operators**, **if statements**, **loops**, **arrays** and more.

Students will apply these concepts to create fun games such as **Tic-Tac-Toe**.

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