Level 3  Math & Problem Solving
Our Level 3 Math & Problem Solving program typically targets students in Grades 7 through 9. However, younger students may, albeit rarely, be placed at Level 3 if they meet all prerequisites for this level. This level addresses, in depth, all four steps of problem solving by applying these to quite complex and difficult problems.
Level 3 instruction includes, but is not limited to:
Math

Numerical systems: Egyptian, Roman, base 2, base 5, base 8, base 12, and other
 Elements of formal logic (Boolean Algebra)
 Equations and systems of equations
 Difficult problems on percent and proportions
 Electrical circuits for simple Boolean operators

Algebra: complex problems on one variableand on two variables
 Elements of geometry
 Tricky problems on exponents
Managing Stress and Test Anxiety
Logic and ProblemSolving Strategies
 Reading comprehension
 Modeling problems and simplifying
 Forward solving strategies
 Backward solving strategies
 Venn diagrams
 Logical charts
 Organized / Systematic list
 Problems on lowest common multiple
 Logical tree
 Problem decomposition
 Probability and possibility
And much more!!! Games, puzzles, history of mathematical theorems, and handson fun!
Prerequisite for Level 3: Knowledge of positive and negative numbers, elementary algebra, and problemsolving strategies and techniques from Level 2; OR successful completion of interview (for new students).
Sample Problems
Last week, a store owner received a supply of cans of pickled cucumbers in 7 large boxes and 3 small boxes. An invoice indicated that there were 108 cans altogether in these boxes. This week the store owner received 5 large boxes and 4 small boxes of pickled cucumbers. This week the invoice states that there are 92 cans of pickled cucumbers altogether. The store owner does not want to open these boxes but he is keen to know how many cans are in each large box. Despite his lack of knowledge in algebra, the store owner managed to figure this out.
 Can you figure out how many cans are in each large box?
Add/Subtract in Egyptian numerals:
Given external angle EAB. AT is a tangent line; length of AT = 18 cm.
P = 28°; S = 74°. Length of AB = 6 cm, and length of ED = 77 cm.
 Find out the value of EAB, and the length of EA and CA.