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Concept mapping

• In junior and senior high, students communicate the solution to a problem or explanation of a particular concept with a supporting diagram.

Multimedia

• In junior and senior high, students produce documents that incorporate a combination of written explanations, tables, graphs, diagrams or mathematical expressions in order to communicate mathematical understanding.
• In junior high, students construct models demonstrating geometric proof of the Pythagorean theorem.
• In senior high, students explore concepts related to 2D vectors and solve problems related to 2D vectors.

Internet

• In junior and senior high, students access current and realistic data for use in classroom activities.
• In junior and senior high, students participate in collaborative online problem solving activities.
  

Spreadsheet

• In junior and senior high, students produce documents that incorporate a combination of written explanations, tables, graphs, diagrams or mathematical expressions in order to communicate mathematical understanding.
• In junior high, students collect, organize and display data in a variety of ways including circle graphs and scatter plots. They also search for trends and patterns in the data.
• In junior high, students solve complex problems by designing appropriate computer models and examining a variety of "what if" scenarios. Built in solver functions may also be used for a similar purpose.
• In senior high, students explore patterns and trends by automating and graphically displaying results of a series of repetitive calculations.
• In senior high, students solve and communicate solutions to problems related to budgets, finance, investments, borrowing, etc. by constructing appropriate spreadsheet models and performing appropriate operations.
  

Database

• In junior and senior high, students access current and realistic data from online databases for use in classroom activities.
• In junior and senior high, students access data from a database to use in class activities.
• In junior and senior high, students collect data and enter it into a database to analyze trends and patterns.

Software and simulations

• In junior high, students use various types of simulation software, such as Hot Dog Stand, Sim City and Logo, to practise problem solving, reasoning and pattern recognition and to explore complicated relationships at an intuitive level.
• In junior and senior high, students use 3D modeling or CAD programs to assist visualization and to aid in problem solving related to shape and space.
• In junior high, students explore relationships between perimeter and area of various geometric shapes and model and solve problems involving these concepts.
• In senior high, students explore concepts in trigonometry and construct models to aid in solving various problems.
• In senior high, students construct a fractal pattern by repeatedly applying a procedure to a geometric figure.

Calculator

• In senior high, students use a graphing calculator to draw the graph of a function from its equation.
• In senior high, students determine the domain and range of a relation from its graph.
• In senior high, students graph linear inequalities and systems of linear inequalities in two variables.
• In senior high, students solve non-linear equations using a graphing tool and solve systems of linear and non-linear equations in two variables graphically.
• In senior high, students explore a variety of quadratic, exponential, trigonometric, logarithmic, polynomial, and other functions and relations and their transformations.