Detailed
Session Descriptions
of SB Family School's
Math Camps
MatheMagics
Learn the math behind the tricks, then perform in a magic show.
Become a mathemagician! Not all magic tricks require sleight
of hand – some are based on science and math. Mathematical magic
tricks will be demonstrated and then we'll investigate the math behind
them. Campers will learn to perform the tricks, and practice them on each
other. On Friday, parents & siblings are invited to come at 11:15
for a magic show performance. The areas of math we'll explore include
arithmetic, number bases, algebra, topology, and probability. Campers
should be able to add, subtract, multiply and divide whole numbers, and
understand fractions.
The advanced session will involve new tricks with more sophisticated mathematical
concepts.
The Art of Math & the Math of Art
Create and investigate 2-D and 3-D mathematical art.
Create drawings and sculptures in 2 and 3 dimensions – tessellations, unit origami, fractals, etc. In the process, we'll explore the mathematical ideas behind them: angles, 3-D geometry, topology, symmetry, number bases, infinity, etc. We'll also examine some works of mathematical artists, such as M.C. Escher & Leonardo da Vinci. Campers should be able to add, subtract, multiply and divide whole numbers and fractions. More advanced students will be exposed to more advanced mathematical ideas.
Special Topics Sessions:
Santa Barbara Surf-aces will explore many topics related to surfaces - curvature, tessellations, map coloring, minimal surfaces. There will be short local field trip on Wednesday.
Focus
on da Vinci will.explore mathematical topics related to
Leonardo da Vinci's art and inventions. Since Monday is a holiday, this
camp session meets Tuesday to Friday, but Thursday is a full-day session
consisting of a field trip to the da Vinci exhibit in Los Angeles. There
will be an extra charge to cover the actual cost of the field trip.
Cryptography
Break the code!
Become a spy or detective! Campers will encounter many different codes and ciphers, and techniques for decoding and deciphering. We’ll construct some coding devices, exchange secret messages, and engage in mathematical analysis. Most of the areas of mathematics involved – number theory (prime numbers and modular arithmetic), matrices, angles, frequency distributions – require only whole number arithmetic skills.
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Mathletics
In addition to hands-on exploration of sports-related mathematical topics – such as dynamics of ball trajectories, scoring & tournaments, and tessellations on spheres – there will be mathletics events – such as relay races and dart games. And during the mid-morning snack break, we'll play table tennis, which is a favorite sport among mathematicians.
Game Design
Play and analyze games, then make your own.
In the process of playing and analyzing a variety of games, we'll study some of the principles of game design, with the goal of each camper creating his or her own game by the end of the week. The areas of math investigated include probability and game theory. Note that although the ideas are applicable to video games, the orientation of the camp is completely non-electronic.
Infinity & Beyond
Recommended for Grades 7-10
The concept of infinity is both intriguing and accessible to kids way before they encounter it in a calculus class. We'll play with sequences and sets, fractals, different types of infinity, and more. Although this is the most theoretical camp, it will also include related games and art projects. In consideration of the cost of storage space in Santa Barbara, we promise that your child will bring home only a finite number of finite-dimensional projects. Campers should be able to easily add, subtract, multiply and divide whole numbers, fractions and decimals, and be infinitely curious.
Prime Time
Recommended for Grades 3-7
The concept of prime decomposition is the most important
concept of elementary school mathematics. Its mastery is the best preparation
for junior and senior high school mathematics. In this camp, students
will become very familiar with it and related concepts about factors,
mainly through playing games.
More advanced students will learn about more esoteric topics, such as
prime distribution, prime generation, and specific types of primes. Hands-on
activities are of course included. Campers should understand the concept
of multiplication but need not have memorized the multiplication table.
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