Lessons Integrating Information and Communication Technology within a Curriculum Area
Author 
Danielle Boyd  SRSB 
Title 
Constructing and Evaluating Similar Triangles using The Geometer’s Sketchpad 
Grade Level 
10 
Subject Area 
Math 
Overview of unit/lessons/activities (assumptions of prior knowledge/learning) 
Unit 5 Geometry and Trigonometry This activity serves as a beginning point for students with regards to trigonometry.

Correlations to ICT and curriculum outcomes 
Mathematics 10 Outcomes:
ICT Integration Outcomes:

Projected timeline for preparation and for carrying out activities 
With the assumption that students will take approximately an hour to construct the triangles, time in class should also be allotted to review what students must do with the data they collected. Some students will finish the construction aspect quickly and as a result, they will begin their calculations during the first class. Others will struggle with the technological aspect therefore the hour for computer access will be needed. If a pod of computers is available, students then can work at various levels within the classroom setting without the need of a lab to be booked. Peertopeer mentoring is also pivotal in this process. Final calculations can be completed at home if need be. 
Equipment Requirements: (computers, software, etc) 
Computers with The Geometer’s Sketchpad installed on each 
Teaching materials provided (Blacklines, worksheets, templates, teacher materials) 

Resources available for teacher/student use (websites, references, etc) 
Exploring Geometry with The Geometer’s Sketchpad: Chapter 10 Trigonometry and Fractals Mathematical Modeling: Book 1, Chapter 5.1 Ratios Based on Right Triangles 
Detailed instructions for each activity or lesson (teacher notes, activity information, learning strategies, teacher role, student roles) 
Lastly, students will conclude the activity by summing up what they have learned about similar right triangles & trigonometric ratios by writing an email to their friend. This final email should be completed individually and perhaps at home. It will be sent to the teacher for evaluation. 
Student products expected 
Constructing and Evaluating Similar Triangles using Geometer’s Sketchpad (Word format) (pdf format) 
Samples (include teacher notes, assessment information, student work if available) 
Sample Triangles and Ratio Table (Word format) (pdf format) provides a sample diagram (from The Geometer’s Sketchpad) of a constructed right triangle as well as the corresponding ratio table. Assessment: The following rubric can be used to evaluate the material students are asked to send via email:

Logistics (organization, grouping, management issues, access to technology) 
Students can work individually or in pairs. 
Assessment information (e.g., rubrics for products and/or process) 
Assessment: The following rubric can be used to evaluate the material students are asked to send via email:
An additional assessment of their ratio table should be given to assure student understanding of :

Possible extensions 
An addition to the activity could include changing the sizes of the other two angles while maintaining the 90° angle. This could serve as reinforcement for the concepts in the activity. Other activities are included in the resource, Exploring Geometry with The Geometer’s Sketchpad. Chapter 10: Trigonometry and Fractals may be helpful in the next stage of the unit. You may have students model a river problem using The Geometer’s Sketchpad. 
Adaptations for students requiring additional support 
A sample triangle could be provided for a student who needs additional assistance. This way, the student would focus on understanding the ratios as the core of the activity. 
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