# NCSSM STEM Immersion Camp (NSIC)

# Math, Coding, Grow!

Are you in grades 4-12? Are you passionate about STEM and wish to learn more? NSIC students will learn introductory graph theory, combinatorics, game theory and the basics of computer science. NSIC students will have the opportunity to explore each topics according to their interests.

# What is NSIC?

NSIC is a completely free weeklong program aiming to introduce computer science and advanced mathematics to female and minority students who are passionate about STEM. We are completely run and taught by NCSSM (North Carolina School of Science and Math) students and sponsored by faculty members.

We offer two sessions:

Introduction to graph theory and combinatorics (morning session)

Introduction to computer science and computational thinking (afternoon session)

Students are welcome to choose one or both sessions. Students with full participation in the program will recieve certificate of completion at the end of each session. Although female and minority students are strongly encouraged to attend the program, everyone can apply! No prior experience needed!

NCSSM STEM Immersion Camp is aimed for middle school and high school students, however, elementary school students are also welcomed to apply. Applicants are accepted on a rolling basis, we encourgae you to apply ASAP. Please check your email and expect to hear back from us within a couple of weeks. To apply, please fill out the short google form linked below.

# Daily Schedule

Monday, July 3 - Friday, July 7

Morning Session (10am - 12pm)

Math Synchronous Activity: 10:00 am -10:45 am

Math Office Hours: 11:00 am-11:30 am

Asynchronous Activity: 11:30 am-12:00 pm

Break: 12:00pm-1:00pm

Afternoon Session (1pm - 3pm)

Computer Science Synchronous Activity: 1:00 pm-1:45 pm

Computer Science Office Hours: 2:00 pm-2:30 pm

Asynchronous Activity: 2:30 pm-3:00pm

# Daily syllabus

Day 1

Morning: Introduction to Graph Theory

Synchronous Activity:

What is Graph Theory?

Some application examples

An overview of graph theory terminology.

Some basic types of graphs.

Introduce the Game of Sprouts

Asynchronous Activity

Play the game of sprouts with a friend/family member. For each game, take notes of the following: n-the number of initial vertices

v-the number of total vertices

e-the number of edges

m-the number of moves

u-the number of unlived lives

What are some patterns that you notice?

Why u=3n-m?

Come up with 1 more conjecture.

Day 2

Morning: Introduction to Formal Proof & Types of Graphs

Synchronous Activity:

Share conjectures

Prove the conjecture u=3n-m. s

Optimal Strategy

More Graph Theory Terminology

Proof Writing

Asynchronous Activity:

What is the maximum number of vertices in a complete planar graph?

Can you prove 2^2> 2n for every positive integer n≥3 by induction?

Day 3

Morning: Introduction to Graph Coloring

Synchronous Activity:

Introduction to graph coloring:

Proper coloring

K-coloring

Chromatic number (G): smallest k for which k coloring exists

Explore (G) on:

Null graph

Star graph

Cycle graph

Asynchronous Activity:

Find (G) for complete graph in a function of the number of vertices

Complete the handout for edge bound theorem

Day 4

Morning: Introduction to Game Theory

Synchronous Activity:

What is game theory?

Prisoner’s Dilemma

Introduction to payoff matrix

Nash Equilibrium

Example analysis

Pigeon Hole principle

Asynchronous Activity:

Fill out the payoff matrix for example senario and fill pure and mixed equilibriums.

Day 5

Morning: Game Theory Examples

Synchronous Activity:

Game of Nim

Pigeon Hole principle

Celebration!!!

No Asynchronous Activity—

Afternoon: Introduction to Computational thinking with Scratch

Synchronous Activities:

Intro to Scratch

Explain what Scratch is and how it works

Demonstrate the Scratch interface and basic features

Guide students in creating a simple Scratch project (e.g., making a character move and change color)

Basic Scratch programming

Teach students how to create and edit Scratch scripts

Guide students in creating a project that involves basic programming concepts (e.g., loops, if-else statements)

Asynchronous Activities:

Choose 1 of the following

Create a scratch program using concepts taught in class

Explore a new feature in Scratch

Afternoon: Introduction to Machine Learning with Scratch

Synchronous Activities:

Introduction to Machine Learning

Explain machine learning and its applications

Supervised learning and its basics

Concepts of training data and labels

Machine learning in Scratch

Explain and demonstrate the Teachable Machine platform by google

Teach students how to create a scratch project with Teachable Machine and Scratch

Asynchronous Activities:

Create a scratch program using new techniques learned today. Feel free to share it with your family and friends

Afternoon: Introduction to Web Design and Web Development

Synchronous Activities:

Web Design

Graphic design principles

Effective color use

Layout techniques

Create accounts for replit

HTML

Structure of a HTML document

Basic tags in HTML (ex: <p>, <h1>-<h6>, <img>, etc)

id and class

Asynchronous Activities:

Find 2-3 examples of effective web design and explain what features make them so.

Fill out this google form:

Afternoon: Intro to CSS and JavaScript

Synchronous Activities:

CSS

How to add colors, fonts, and layout to the webpage.

How to use CSS selectors and cascading to style the webpage efficiently

Intro JavaScript

Basics data types

Creating and assigning values to Variables

Asynchronous Activities:

Create a simple website with HTML and CSS concepts learned today

Afternoon: JavaScript and Web Development

JavaScript

Creating functions

Local vs global variables

Event handling

Incorporating JavaScript into website

Celebrations

No Asynchronous Activity—

# We Are Fully Virtual

Students will attend daily sessions through Zoom with the Zoom links send out prior to the program start date. If you need any assistance with access to the internet, please reach out to us!

We will mainly focus on students within North Carolina, but out-of-state students are welcome to apply!