PRIME FACTOR

Sample Curriculum

Our curriculum extends from elementary to high school. Every year, students move up to new topics to learn, new problem solving techniques to master, new tournaments to play, and Olympiads to compete in.

Take a look at some of our sample curricula below.

Beginners Circle, grade 2

Fall Trimester

From two ends problems
Digits in masks algebra
Count the shapes:
organized approach
Playing with polygons
Mister No
Kenken and other puzzles

Winter Trimester

Coordinates
Cuts and pieces problems
Tricky word problems
Secret codes
3D visual geometry
Math Kangaroo practice

Spring Trimester

Intervals
Logic with charts
Balance it!
Ancient numbers
Time and Calendar
Tessellations

Junior Circle 1, grade 3-4

Fall Trimester

Logic problems
Relative comparisons
Word problems, using tables
and bar diagrams
Cryptography
Perimeters: smart calculations
Symmetry

Winter Trimester

Finding areas of complex figures
Algebra with weights
3D visual geometry
sdrawkcab gnioG
Math Kangaroo practice
Problems about age

Spring Trimester

Fractals
Binary number system
Number puzzles
Pascal's triangle
Ropes and Knots

Junior Circle 2, grade 4-5

Fall Trimester

Smart out-of-the-box problems
Numbers from the bottom up:
history of numbers, their structure
Number puzzles and decimal numbers
Word problems and diagrams
Combinatorics
Mathematical Dominoes tournament

Winter Trimester

Balance beam and linear equations
More combinatorics
Copycat robots algorithms
Order of operations, Math Python tournament
Inclusion-exclusion rule
Math Kangaroo prep
Logics of if-then

Spring Trimester

Unicursal figures
Circle geometry with hungry goats
Four colors Theorem
Figurative numbers
Working together: word problems
Fibonacci the beautiful

Junior Circle 3, grade 5-6

Fall Trimester

Magic squares
Knights and Liars
Word problems: heads and legs
Positional number systems
Speed and motion
Introduction to geometry

Winter Trimester

Combinatorics, and more combinatorics
Tricky Areas
3D geometry
Factors and primes
Pythagorean Theorem
Pentomino play

Spring Trimester

Efficient counting
Platonic solids
Grid walks
Geometry of a circle
Alternations and invariants
Amazing curves

Intermediate Circle 1, grade 6-7

Fall Trimester

Proofs and solutions
Knights and Liars
Parity and how it helps us
Parity as invariant
Decimal system in problems
Algorithms with fake coins

Winter Trimester

Binary and other systems
Number theory topics
It's all about primes
Cryptography
Tournaments problems
Math Dominoes

Spring Trimester

Double counting method
Introduction to strategic games
Endgame analysis
Math Olympiad prep
Review

Intermediate Circle 2, grade 7-8

Fall Trimester

Problem potpourri
Proof methods
Pigeonhole principle
Math Fight
Black-and-white problems
Introduction to graph theory

Winter Trimester

Isomorphic graphs
Graphs: trees
Binary trees
Sorting algorithms
Triangle inequality
Lots of combinatorics

Spring Trimester

Pascal's triangle
Paths on grids
Divisibility and remainders
Recurrence relations
Strategic games
Math Olympiad prep

Math Of Computer Science, grade 8-10

Fall Trimester

Proofs, solutions, explanations
Logic tables
Logic tables and digital circuits
Digitl circuits and binary adder
Binary, octal, hex
Graphs and networks
Algorithms on graphs

Winter Trimester

Graphs and trees
Divisibility: modular arithmetic
Applications of modular arithmetic
Text compression, Huffman codes
Double counting
File formats

Spring Trimester

Math induction
Pascal's triangle and binomials
Pascal's triangle and combinatorics
Recursive functions
Math Olympiad
Math Labyrinth

Algorithms and Games with Scratch, grade 5-6

Fall Trimester

Sequencing, variables
Operators, conditionals
Loops, loops with incremental variable
Functions, messages and events
Visual effects, randomization

Winter Trimester

Private and public variables
Working with lists
Clones
Game design techniques and algorithms

Spring Trimester

Designing games
Program design with modules
Debugging a program

Coding With Java, grade 9-11 See curriculum here