**WHAT
ARE THE DISCIPLINES?**

There
are three primary disciplines of the Judo Math Teaching
program.

**1.
Fundamentals**

**a. Fractionology**

A deep conceptual understanding of the manipulation
of fractions

b. Ratios

A comparison of proportions and scale

c. Percent Reasoning

Percent increase, decrease, simple and compound
interest

d. Combining

Order of operations, combining like terms, integers

Sensei: Geometry – Lines, angles and complex
areas, Fibonnaci sequence, triangular numbers.

**2.
Problem solving**

**a. Modeling equations**

Solving multi-step equations, translating

b. Modeling inequalities

Solving and graphing inequalities on a number line,
compound inequalities

c. Manipulating variables

Converting formulas, showing equations in terms
of a variable

d. Applications

Payment plans, distance/rate/time, money, work
problems.

Sensei: Trigonometry – sine/cosine/tangent,
law of sines, law of cosines.

**3.
Graphing**

**a. The Basics **

Slope, Cartesian coordinate system orientation

b. Linear graphing

Graphing equations and inequalities

c. Linear writing

Writing equations and inequalities of lines

d. Solving Systems

Solving and graphing systems of linear equations
and inequalities.

Sensei: Quadratics- graphing and writing quadratic
equations, factoring, rational expressions