Algebra
Operations involving signed numbers.
Word problems: translating verbal statements into algebraic expressions.
Substitution.
Simplifying algebraic expressions.
Elementary factoring.
Solving algebraic equations and inequalities.
Manipulation of positive integer exponents and roots.
Simple
quadratic equations
Geometry
Properties of parallel and perpendicular lines
Angle relationship-vertical angles and angles in geometric figures
Properties of triangles:
right, isosceles, and equilateral; 30º-60º-90º and other "special" right triangles; a total of interior angles.
Pythagorean theorem
Similarity
Properties of polygons:
perimeter, area, angle measures.
Properties of circles: circumference, area, radius, diameter.
Solids: volume, surface area.
Simple coordinate geometry, including slope, coordinates of points
Arithmetic
Problem solving that involves simple addition,
subtraction, multiplication, and division.
Conceptual understanding of arithmetic operation with fractions.
Averages( arithmetic mean ), median, and mode.
Properties of integers: odd and even numbers, prime numbers, positive and
negative integers, factors, divisibility, and multiples.
Word problems involving such concepts as rate / time / distance.
Percent
Number line: order, betweenness, and consecutive numbers.
Ratio and proportion.
Miscellaneous
Probability
Data interpretation.
Counting and ordering problems.
Special symbols
Logical analysis.
Internet resources
Great Interactive Math Site
High School Student Center
Ask Dr. Math
