The following links and pages provide valuable resources for
math educators for both competition math and regular instruction.

PSIA -- Special Math Topics -- Spring 2022 and Spring 2023

Graph Theory NEW

Graph Theory is one of the cornerstones of modern mathematics. Describing everything from the connections between your friends on Facebook to the most efficient route your new book from Amazon.com takes to reach your home, Graph Theory is the mathematics behind relationships and connections. This special topics document looks at graph structures, including vertices, edges, orders, complete graphs, and more. Several basic graph theory algorithms are also described, including finding minimum spanning trees.

Graph Theory NEW

Graph Theory is one of the cornerstones of modern mathematics. Describing everything from the connections between your friends on Facebook to the most efficient route your new book from Amazon.com takes to reach your home, Graph Theory is the mathematics behind relationships and connections. This special topics document looks at graph structures, including vertices, edges, orders, complete graphs, and more. Several basic graph theory algorithms are also described, including finding minimum spanning trees.

PSIA -- Special Number Sense Topics -- Spring 2021 and Spring 2022

Special Number Sense Topics appear on the PSIA District and State Junior High tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

Special Number Sense Topics appear on the PSIA District and State Junior High tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

PSIA -- Special Math Topics -- Spring 2020 and Spring 2021

Cryptography

The Special Math Topics for the Junior High Math competition for Spring 2020 and Spring 2021 is Cryptography. This document highlights some of the core aspects of the topic and gives some sample problems.

Cryptography

The Special Math Topics for the Junior High Math competition for Spring 2020 and Spring 2021 is Cryptography. This document highlights some of the core aspects of the topic and gives some sample problems.

PSIA -- Special Number Sense Topics -- Spring 2019 and Spring 2020

Special Number Sense Topics appear on the PSIA District and State Junior High tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

Special Number Sense Topics appear on the PSIA District and State Junior High tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

PSIA -- Special Math Topics -- 2018-19 -- GeoGebra Demonstations

These demonstrations are based on the Practice Questions from the 2018-19 PSIA Special Math Topics. Students can learn from the demonstrations by rotating the space around to view the objects graphed from different points of view.

These demonstrations are based on the Practice Questions from the 2018-19 PSIA Special Math Topics. Students can learn from the demonstrations by rotating the space around to view the objects graphed from different points of view.

College Algebra (Math 1315) Videos by Doug Ray

The complete lecture series for College Algebra as taught by me at Texas State University. The lectures are correlated to the textbook by Julie Miller.

The complete lecture series for College Algebra as taught by me at Texas State University. The lectures are correlated to the textbook by Julie Miller.

PSIA -- Special Math Topics -- 2018-19

Spatial Algebra and Geometry

Spatial Algebra and Geometry is the study of 3-dimensional geometry from an algebraic standpoint. This document will guide students' understanding of using algebra and geometry together to solve problems and see spatial relationships. The last five questions on the District and State PSIA tests for 2018 and 2019 will cover these topics. See the link above for GeoGebra demonstrations of some of the practice questions.

Spatial Algebra and Geometry

Spatial Algebra and Geometry is the study of 3-dimensional geometry from an algebraic standpoint. This document will guide students' understanding of using algebra and geometry together to solve problems and see spatial relationships. The last five questions on the District and State PSIA tests for 2018 and 2019 will cover these topics. See the link above for GeoGebra demonstrations of some of the practice questions.

PSIA -- Special Number Sense Topics -- 2017-18

Special Number Sense Topics appear on the PSIA District and State tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

Special Number Sense Topics appear on the PSIA District and State tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

PSIA -- Special Math Topics -- 2016-17

Modular Arithmetic

Modular Arithmetic is the study of remainders. The numbers produced as "left-overs" after division follow some very basic rules of arithmetic. In addition, they create a rich structure that allows up to solve problems. People are unknowingly familiar with Modular Arithmetic--our clock is a simple example of arithmetic modulo 12, since the clock repeats every 12 hours.

Modular Arithmetic

Modular Arithmetic is the study of remainders. The numbers produced as "left-overs" after division follow some very basic rules of arithmetic. In addition, they create a rich structure that allows up to solve problems. People are unknowingly familiar with Modular Arithmetic--our clock is a simple example of arithmetic modulo 12, since the clock repeats every 12 hours.

PSIA -- Special Number Sense Topics -- 2015-16

Special Number Sense Topics appear on the PSIA District and State tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

Special Number Sense Topics appear on the PSIA District and State tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

PSIA -- Special Math Topics -- 2014-15

Graph Theory

Graph Theory is one of the cornerstones of modern mathematics. Describing everything from the connections between your friends on Facebook to the most efficient route your new book from Amazon.com takes to reach your home, Graph Theory is the mathematics behind relationships and connections. This special topics document looks at graph structures, including vertices, edges, orders, complete graphs, and more. Several basic graph theory algorithms are also described, including finding minimum spanning trees.

Graph Theory

Graph Theory is one of the cornerstones of modern mathematics. Describing everything from the connections between your friends on Facebook to the most efficient route your new book from Amazon.com takes to reach your home, Graph Theory is the mathematics behind relationships and connections. This special topics document looks at graph structures, including vertices, edges, orders, complete graphs, and more. Several basic graph theory algorithms are also described, including finding minimum spanning trees.

PSIA -- Special Number Sense Topics -- 2013-14

Special Number Sense Topics appear on the PSIA District and State tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.

Special Number Sense Topics appear on the PSIA District and State tests. These topics are usually outside the normal Number Sense curriculum and are designed to challenge students to push their mental math skills even further.