ICT: math, jr high

Alberta Learning ICT outcomes: Junior high mathematics

The following occur across junior high mathematics:

F1 (3.1) — Demonstrate an understanding that information can be transmitted through a variety of media.
F1 (3.2) — Explain the concept of software and hardware compatibility.
F1 (3.3) — Apply terminology appropriate to the technology being used at this division level.
F1 (3.4) — Demonstrate an understanding that digital technology follows a logical order of operations.
F1 (3.5) — Explain the difference between digital and analog data on communication systems.
F1 (3.6) — Explain how the need for global communication will affect technology around the world.
F1 (3.7) — Demonstrate the ability to troubleshoot technical problems.
F1 (3.8) — Demonstrate an understanding that technology is a process, technique or tool used to alter human activity.

F2 (3.1) — Describe the impact of communication technologies on past, present and future workplaces, lifestyles and the environment.
F2 (3.2) — Identify potential technology-related career paths.
F2 (3.3) — Identify the cultural impact of global communication.
F2 (3.4) — Evaluate the driving forces behind various technological inventions.
F2 (3.5) — Make inferences regarding future trends in the development and impact of communication technologies.
F2 (3.6) — Explain ways in which technology can assist in the monitoring of local and global environmental conditions.
F2 (3.7) — Analyze and assess the impact on society of having limitless access to information.
F2 (3.8) — Identify the manner in which telecommunications technology affects time and distance.

F3 (3.1) — Use time and resources on the network wisely.
F3 (3.2) — Explain the issues involved in balancing the right to access information with the right to personal privacy.
F3 (3.3) — Understand the need for copyright legislation.
F3 (3.4) — Cite sources when using copyright and/or public domain material.
F3 (3.5) — Download and transmit only materials that comply with the established network use policies and practices.
F3 (3.6) — Model and assume personal responsibility for ethical behaviour and attitudes and acceptable use of information technologies and sources in local and global contexts.

F4 (3.1) — Identify aspects of style in a presentation.
F4 (3.2) — Understand the nature of various media and how they are consciously used to influence an audience.
F4 (3.3) — Identify specific techniques used by the media to elicit particular responses from an audience.
F4 (3.4) — Recognize that the ability of technology to manipulate images and sound can alter the meaning of a communication.

F5 (3.1) — Identify risks to health and safety that result from improper use of technology.
F5 (3.2) — Identify and apply safety procedures required for the technology being used.

F6 (3.1) — Connect and use audio, video and digital equipment.
F6 (3.2) — Perform routine data maintenance and management of personal files.
F6 (3.3) — Demonstrate proficiency in uploading and downloading text, image, audio and video files.
F6 (3.4) — Demonstrate the ability to control devices electronically.
F6 (3.5) — Describe the steps involved in loading software.
F6 (3.6) — Identify and apply safety procedures, including anti-virus scans and virus checks, to maintain data integrity.

a. The teacher knows how to facilitate the communication of ideas and information using computer software writing and graphics tools such that:

Possible Student Activities	Correlation to the Curriculum in Mathematics (Division 3 Outcomes)	Correlation to the Information and Communication Technology Program of Studies for Division 3
Students maintain a journal of mathematical concepts, terms and personal reflections about mathematics.	- Illustrate and explain the order of operations, using paper and pencil or a calculator (SO, gr. 7). - Explain, demonstrate and use proportion in solving problems (SO, gr. 7). - Document and explain the calculator keying sequences used to perform calculations involving rational numbers (SO, gr. 7). - Explain how to solve simple problems, using informal algebraic methods (SO, gr. 7). - Explain how time zones are determined (SO, gr. 7).] - Explain, in more than one way, why the sum of the measures of the angles of a triangle is 180° (SO, gr. 7). - Demonstrate and explain the meaning of a negative exponent, using patterns (limit to base 10) (SO, gr. 8). - Describe patterns, and generalize the relationships by determining the areas and perimeters of quadrilaterals and the areas and circumferences of circles (SO, gr. 8). - Explain and illustrate the structure and the interrelationship of the sets of numbers within the rational number system (GO, gr. 9). - Describe, orally and in writing, whether or not a number is rational (SO, gr. 9). - Explain the use of probability and statistics in the solution of complex problems. - Explain and apply the exponent laws for powers with integral exponents (SO, gr. 9). - Document and explain the calculator keying sequences used to perform calculations involving rational numbers (GO, gr. 9). - Explain the meaning of sine, cosine and tangent ratios in right triangles (SO, gr. 9). - Describe the effects of dimension changes in related 2-D shapes and 3-D objects in solving problems involving area, perimeter, surface area and volume (GO, gr. 9). - Recognize when, and explain why, two triangles are similar and congruent, and use the properties of similar triangles to solve problems (SO, gr. 9). - Explain the use of probability and statistics in the solution of complex problems (GO, gr. 9).	C7 (3.1) - Identify patterns in organized information. C7 (3.2) - Make connections among related, organized, and assemble various pieces into a unified message. P1 (3.1) - Design a document, using style sheets and with attention to page layout, that incorporates advanced word processing techniques, including headers, footers, margins, columns, table of contents, bibliography and index. P4 (3.1) - Integrate information from a database into a text document. P4 (3.2) - Integrate database reports into a text document. P5 (3.2) - Demonstrate proficient use of information retrieval technologies. C1 (3.4) - Access and retrieve information through the electronic network. C1 (3.5) - Analyze and synthesize information to create a product. C2 (3.1) - Access diverse viewpoints on particular topics by using appropriate technologies. C2 (3.2) - Assemble and organize different viewpoints in order to assess their validity. C2 (3.3) - Use information technology to find facts that support or refute diverse viewpoints. C3 (3.1) - Evaluate the authority and reliability of electronic sources. C3 (3.2) - Evaluate the relevance of electronically accessed information to a particular topic.
Students produce documents that incorporate a combination of written explanations, tables, graphs, diagrams or mathematical expressions in order to communicate mathematical understanding.	- Explain, demonstrate and use proportion in solving problems (SO, gr. 7). - Document and explain the calculator keying sequences used to perform calculations involving rational numbers (SO, gr. 7). - Explain how to solve simple problems, using informal algebraic methods (SO, gr. 7). - Explain how time zones are determined (SO, gr. 7).] - Explain, in more than one way, why the sum of the measures of the angles of a triangle is 180° (SO, gr. 7). - Demonstrate and explain the meaning of a negative exponent, using patterns (limit to base 10) (SO, gr. 8). - Explain and illustrate the structure and the interrelationship of the sets of numbers within the rational number system (GO, gr. 9). - Describe, orally and in writing, whether or not a number is rational (SO, gr. 9). - Explain the use of probability and statistics in the solution of complex problems. - Explain and apply the exponent laws for powers with integral exponents (SO, gr. 9). - Document and explain the calculator keying sequences used to perform calculations involving rational numbers (GO, gr. 9). - Explain the meaning of sine, cosine and tangent ratios in right triangles (SO, gr. 9). - Recognize when, and explain why, two triangles are similar and congruent, and use the properties of similar triangles to solve problems (SO, gr. 9). - Explain the use of probability and statistics in the solution of complex problems (GO, gr. 9).	C7 (3.1) - Identify patterns in organized information. C7 (3.2) - Make connections among related, organized, and assemble various pieces into a unified message. P1 (3.1) - Design a document, using style sheets and with attention to page layout, that incorporates advanced word processing techniques, including headers, footers, margins, columns, table of contents, bibliography and index. P1 (3.2) - Use advanced menu features within a word processor to accomplish a task; for example, insert a table, graph or text from another document. P2 (3.1) - Design, create and modify a database for a specific purpose. P2 (3.2) - Design, create and modify a spreadsheet for a specific purpose, using functions such as SUM, PRODUCT, QUOTIENT, and AVERAGE. P2 (3.3) - Use a variety of technological graphing tools to draw graphs for data involving one or two variables. P4 (3.1) - Integrate information from a database into a text document. P4 (3.2) - Integrate database reports into a text document. P5 (3.2) - Demonstrate proficient use of information retrieval technologies. P6 (3.2) - Demonstrate proficiency in accessing local area network, wide area network and Internet services, including uploading and downloading text, image, audio and video files. C1 (3.4) - Access and retrieve information through the electronic network. C2 (3.1) - Access diverse viewpoints on particular topics by using appropriate technologies. C2 (3.2) - Assemble and organize different viewpoints in order to assess their validity. C2 (3.3) - Use information technology to find facts that support or refute diverse viewpoints. C3 (3.2) - Evaluate the relevance of electronically accessed information to a particular topic.

b. The teacher knows how to enhance communication and research skills using the Internet such that:

Possible Student Activities	Correlation to the Curriculum in Mathematics (Division 3 Outcomes)	Correlation to the Information and Communication Technology Program of Studies for Division 3
Students access current and realistic data for use in classroom activities.	- Display data by hand or by computer in a variety of ways, including circle graphs (SO, gr. 7). - Develop and implement a plan for the collection, display and analysis of data, using technology, as required (GO, gr. 8). - Collect and analyze experimental results expressed in two variables, using technology, as required (GO, gr. 9). - Develop and implement a plan for the collection, display and analysis of data, using measures of variability and central tendency (GO, gr. 7). - Formulate questions for investigation, from a real-world context (SO, gr. 7). - Select, defend and use appropriate methods of collecting data: designing and using questionnaires interviews experiments research (SO, gr. 7). - Interpret a scatterplot to determine if there is an apparent relationship (SO, gr. 9). - Assess the strengths, weaknesses and biases of samples and data collection methods (SO, gr. 9).	C7 (3.1) - Identify patterns in organized information. C7 (3.2) - Make connections among related, organized, and assemble various pieces into a unified message. P4 (3.1) - Integrate information from a database into a text document. P4 (3.2) - Integrate database reports into a text document. P6 (3.2) - Demonstrate proficiency in accessing local area network, wide area network and Internet services, including uploading and downloading text, image, audio and video files. C1 (3.1) - Plan and conduct a search, using a wide variety of electronic sources. C1 (3.2) - Refine searches to limit sources to a manageable number. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C1 (3.4) - Access and retrieve information through the electronic network. C2 (3.1) - Access diverse viewpoints on particular topics by using appropriate technologies. C2 (3.2) - Assemble and organize different viewpoints in order to assess their validity. C2 (3.3) - Use information technology to find facts that support or refute diverse viewpoints. C3 (3.1) - Evaluate the authority and reliability of electronic sources. C3 (3.2) - Evaluate the relevance of electronically accessed information to a particular topic. C5 (3.1) - Access, retrieve and share information from electronic sources, such as common files.

Students participate in collaborative on-line problem solving activities.

- Create and solve problems, using probability (GO, gr. 7).

- Apply the concepts of rate, ratio, percentage and proportion to solve problems in meaningful contexts (GO, gr. 8).

- Solve problems involving the probability of independent events (SO, gr. 9).

- Determine the probability of two independent events where the combined sample space has 52 or fewer elements (SO, gr. 8).

- Predict population characteristics from sample data (SO, gr. 8).

C2 (3.2) - Assemble and organize different viewpoints in order to assess their validity.

C7 (3.2) - Make connections among related, organized, and assemble various pieces into a unified message.

P5 (3.2) - Demonstrate proficient use of information retrieval technologies.

P6 (3.1) - Communicate with a targeted audience, within a controlled environment, by using communication technologies, such as e-mail and web browsers.

P6 (3.2) - Demonstrate proficiency in accessing local area network, wide area network and Internet services, including uploading and downloading text, image, audio and video files.

C2 (3.1) - Access diverse viewpoints on particular topics by using appropriate technologies.

C2 (3.3) - Use information technology to find facts that support or refute diverse viewpoints.

C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources.

C1 (3.4) - Access and retrieve information through the electronic network.

C1 (3.5) - Analyze and synthesize information to create a product.

C3 (3.1) - Evaluate the authority and reliability of electronic sources.

C3 (3.2) - Evaluate the relevance of electronically accessed information to a particular topic.

C5 (3.1) - Access, retrieve and share information from electronic sources, such as common files.

C5 (3.2) - Use network brainstorm, plan and share ideas with group members.

C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem.

C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action.

c. The teacher knows how to collect, process, organize, and report data using spreadsheet and database programs such that:

Possible Student Activities	Correlation to the Curriculum in Mathematics (Division 3 Outcomes)	Correlation to the Information and Communication Technology Program of Studies for Division 3
Students collect, organize and display data in a variety of ways including circle graphs (gr. 7) and scatter plots (gr. 9). They also search for trends and patterns in the data.	- Develop and implement a plan for the collection, display and analysis of data, using measures of variability and central tendency (GO, gr. 7). - Develop and implement a plan for the collection, display and analysis of data, using technology, as required (GO, gr. 8). - Collect and analyze experimental results expressed in two variables, using technology, as required (GO, gr. 9). - Graph relations, analyze the result and draw a conclusion from a pattern (SO, gr. 7). - Display data by hand or by computer in a variety of ways, including circle graphs (SO, gr. 7). - Use patterns, variables and expressions, together with their graphs, to solve problems (GO, gr. 8). - Display data by hand or by computer in a variety of ways, including box and whisker plots (SO, gr. 8). - Construct sets of data given measures of central tendency and variability (SO, gr. 8). - Create scatterplots for discrete and continuous variables (SO, gr. 9).	P2 (3.3) - Use a variety of technological graphing tools to draw graphs for data involving one or two variables. C7 (3.1) - Identify patterns in organized information. P2 (3.1) - Design, create and modify a database for a specific purpose. P2 (3.2) - Design, create and modify a spreadsheet for a specific purpose, using functions such as SUM, PRODUCT, QUOTIENT, and AVERAGE. C1 (3.4) - Access and retrieve information through the electronic network. C7 (3.2) - Make connections among related, organized, and assemble various pieces into a unified message.
Students determine mean, median, mode, range and quartiles as they solve problems related to these measures.	- Determine measures of central tendency for a set of data: mode median mean (SO, gr. 7). - Determine measures of the distribution of a set of data: range extremes, gaps and clusters quartiles (SO, gr. 7). - Determine the effect on the mean, median and/or mode when: a constant is added or subtracted from each value each value is multiplied or divided by the same constant a significantly different value is included (SO, gr. 8).	P2 (3.3) - Use a variety of technological graphing tools to draw graphs for data involving one or two variables. P2 (3.2) - Design, create and modify a spreadsheet for a specific purpose, using functions such as SUM, PRODUCT, QUOTIENT, and AVERAGE. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate. C7 (3.2) - Make connections among related, organized, and assemble various pieces into a unified message.
Students carry out simulated probability experiments, including Monte Carlo simulations.	- Use the Monte Carlo simulation method to solve probability problems (SO, gr. 7). - Use computer or other simulations to solve probability and data collection problems (SO, gr. 8). - Recognize that decisions based on probability may be a combination of theoretical calculations, experimental results and subjective judgements (SO, gr. 9).	C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. P2 (3.2) - Design, create and modify a spreadsheet for a specific purpose, using functions such as SUM, PRODUCT, QUOTIENT, and AVERAGE. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences.
Students explore patterns and trends by automating and graphically displaying results of a series of repetitive calculations.	- Graph relations, analyze the result and draw a conclusion from a pattern (SO, gr. 7). - Use patterns, variables and expressions, together with their graphs, to solve problems (GO, gr. 8). Substitute numbers for variables in expressions, and graph and analyze the relation (SO, gr. 8). Generalize, design and justify mathematical procedures, using appropriate patterns, models and technology (GO, gr. 9).	P2 (3.4) - Use a scientific calculator or a computer to solve problems involving rational numbers. P2 (3.2) - Design, create and modify a spreadsheet for a specific purpose, using functions such as SUM, PRODUCT, QUOTIENT, and AVERAGE. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate.
Students solve complex problems by designing appropriate computer models and examining a variety of "what if" scenarios. Built in "solver" functions may also be utilized for a similar purpose.	- Generalize, design and justify mathematical procedures, using appropriate patterns, models and technology (GO, gr. 9).	P2 (3.2) - Design, create and modify a spreadsheet for a specific purpose, using functions such as SUM, PRODUCT, QUOTIENT, and AVERAGE. P2 (3.4) - Use a scientific calculator or a computer to solve problems involving rational numbers. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate. C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences.

d. The teacher knows how to develop mathematical concepts and facilitate the use of mathematical processes using specialized software such that:

Possible Student Activities	Correlation to the Curriculum in Mathematics (Division 3 Outcomes)	Correlation to the Information and Communication Technology Program of Studies for Division 3
Students use 3-D modeling or CAD programs to assist in visualization and to aid in problem solving related to shape and space.	- Generalize measurement patterns and procedures, and solve problems involving area, perimeter, surface area and volume (GO, gr. 8). - Describe the effects of dimension changes in related 2-D shapes and 3-D objects in solving problems involving area, perimeter, surface area and volume (SO, gr. 9).	C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C1 (3.5) - Analyze and synthesize information to create a product. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate.
Students use specialized statistics software to construct box-and-whisker plots, find lines of best fit and perform other statistical calculations.	- Display data by hand or by computer in a variety of ways, including circle graphs (SO, gr. 7). - Display data by hand or by computer in a variety of ways, including box and whisker plots (SO, gr. 8). - Graph relations, analyze the result and draw a conclusion from a pattern (SO, gr. 7). - Construct sets of data given measures of central tendency and variability (SO, gr. 8). - Collect and analyze experimental results expressed in two variables, using technology, as required (GO, gr. 9). - Create scatterplots for discrete and continuous variables (SO, gr. 9).	C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C1 (3.5) - Analyze and synthesize information to create a product. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C7 (3.1) - Identify patterns in organized information.
Students use various types of simulation software, such as Hot Dog Stand, Sim City, and Logo, to practice problem solving, reasoning and pattern recognition and to explore complicated relationships at an intuitive level.	- Generalize a pattern arising from a problem-solving context, using mathematical expressions and equations, and verify by substitution (SO, gr. 8). - Create and analyze design problems and architectural patterns, using the properties of scaling, proportion and networks (GO, gr. 8). - Use logic and divergent thinking to present mathematical arguments in solving problems (SO, gr. 9). - Describe, analyze and solve network problems; e.g., bus routes, a telephone exchange (SO. gr. 8).	C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate. C7 (3.1) - Identify patterns in organized information.
Students design web pages, VRML objects, applets and other Internet products to convey information or to allow others to explore and solve problems online.	- Create and solve problems, using probability (GO, gr. 7). - Apply the concepts of rate, ratio, percentage and proportion to solve problems in meaningful contexts (GO, gr. 8). - Solve problems involving the probability of independent events (SO, gr. 9).	P6 (3.1) - Communicate with a targeted audience, within a controlled environment, by using communication technologies, such as e-mail and web browsers. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences. P5 (3.1) - Create a multi-link web page. P5 (3.2) - Demonstrate proficient use of information retrieval technologies. P6 (3.2) - Demonstrate proficiency in accessing local area network, wide area network and Internet services, including uploading and downloading text, image, audio and video files. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate. C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software.

e. The teacher knows how to explore geometric and general mathematical concepts using dynamic geometry software or graphics programs such that:

Possible Student Activities	Correlation to the Curriculum in Mathematics (Division 3 Outcomes)	Correlation to the Information and Communication Technology Program of Studies for Division 3
Students explore transformations on the coordinate plane.	- Create and analyze patterns and designs, using congruence, symmetry, translation, rotation and reflection (GO, gr. 7). - Create, analyze and describe designs, using translations (slides), rotations (turns) and reflections (flips) (SO, gr. 7). - Use informal concepts of congruence to describe images after translations, rotations and reflections (SO, gr. 7). - Draw designs, using ordered pairs, in all four quadrants of the coordinate grid, together with translation and reflection images (SO, gr. 7). - Relate reflections to lines and planes of symmetry (SO, gr. 7). - Represent, analyze and describe enlargements and reductions (SO, gr. 8). - Apply coordinate geometry and pattern recognition to predict the effects of translations, rotations, reflections and dilatations on 1-D lines and 2-D shapes (GO, gr. 9). - Draw the image of a 2-D shape as a result of: a single transformation a dilatation combinations of translations and/or reflections (SO, gr. 9). - Identify the single transformation that connects a shape with its image (SO, gr. 9). - Demonstrate that a triangle and its dilatation image are similar (SO, gr. 9). - Demonstrate the congruence of a triangle with its: translation image rotation image reflection image (SO, gr. 9).	C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences. C7 (3.1) - Identify patterns in organized information.
Students explore similar triangles and trigonometric ratios.	- Use trigonometric ratios to solve problems involving a right triangle (GO, gr. 9). - Explain the meaning of sine, cosine and tangent ratios in right triangles (SO, gr. 9). - Demonstrate the use of trigonometric ratios (sine, cosine and tangent) in solving right triangles (SO, gr. 9). - Calculate an unknown side or an unknown angle in a right triangle, using appropriate technology (SO, gr. 9). - Model and then solve given problem situations involving only one right triangle (SO, gr. 9).	C7 (3.1) - Identify patterns in organized information. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences.

Students explore measures of angles formed by two parallel lines cut by a transversal and measures of angles in a triangle.	- Link angle measures to the properties of parallel lines (GO, gr. 7). - Measure and classify pairs of angles as complementary or supplementary angles (SO, gr. 7). - Investigate, identify and name pairs of angles pertaining to parallel lines and transversals, including: corresponding vertically opposite interior on the same side of the transversal exterior on the same side of the transversal alternate angles (SO, gr. 7). - Construct angle bisectors and perpendicular bisectors (SO, gr. 7).	C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences. C7 (3.1) - Identify patterns in organized information.
Students view and/or construct models demonstrating geometric proof of the Pythagorean theorem.	-Use concrete materials and diagrams to develop the Pythagorean relationship (SO, gr. 8). - Use the Pythagorean relationship to calculate the measure of the third side, of a right triangle, given the other two sides in 2-D applications (SO, gr. 8).	C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software.
Students explore relationships between perimeter and area of various geometric shapes and model and solve problems involving these concepts.	- Solve problems involving the properties of circles and their connections with angles and time zones (GO, gr. 7). - Measure the diameters, radii and circumferences of circles, and establish the relationships among them (SO, gr. 7). - Solve problems involving the radii, diameters and circumferences of circles (SO, gr. 7). - Generalize measurement patterns and procedures, and solve problems involving area, perimeter, surface area and volume (GO, gr. 8). - Describe patterns, and generalize the relationships by determining the areas and perimeters of quadrilaterals and the areas and circumferences of circles (SO, gr. 8). - Calculate and apply the rate of area to perimeter to solve design problems in two dimensions (SO, gr. 9). - Use trigonometric ratios to solve problems involving a right triangle (GO, gr. 9). - Demonstrate the use of trigonometric ratios (sine, cosine and tangent) in solving right triangles (SO, gr. 9). - Model and then solve given problem situations involving only one right triangle (SO, gr. 9).	C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software. C6 (3.5) - Create a simulation or a model by using technology that permits the making of inferences. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate. C7 (3.1) - Identify patterns in organized information.
Students construct a locus of points as necessary to solve practical problems.	- Recognize and draw the locus of points in solving practical problems (SO, gr. 9).	C7 (3.1) - Identify patterns in organized information. C1 (3.3) - Access and operate multimedia applications and technologies from stand-alone and online sources. C6 (3.1) - Articulate clearly a plan of action to use technology to solve a problem. C6 (3.2) - Identify the appropriate materials and tools to use in order to accomplish a plan of action. C6 (3.3) - Evaluate choices and the progress in problem solving, then redefine the plan of action as appropriate. C6 (3.4) - Pose and test solutions to problems by computer applications, such as computer-assisted design or simulation/ modelling software.