ICT Integrated Lesson Plan
| Author | Madeleine de la Monthe |
| Title | Visualization in Three Dimensions |
| Grade Level | 11 |
| Subject Area | Mathematics |
| Overview of unit/lessons/activities (assumptions of prior knowledge/learning) |
Students will use Autograph to help them visualize plotting points in 3 dimensions, introduce the concept of planes and applying these concepts to solving various word problems found in chapter 1 of Mathematical Modeling, Book 2. Students start by exploring linear, quadratic and sinusoidal equations in 3 dimensions, then move on to visualize how points and planes are plotted. Part 2 of the activity looks at the word problems found on page 9 from the text book. Students solve the problems by plotting the points in Autograph. It is assumed that students are familiar with systems of 2 equations. |
| Correlations to ICT and curriculum outcomes |
Curriculum Outcomes: C8 demonstrate an understanding of real world relationships by translating between graphs, tables, and written descriptions C19 solve problems involving systems of equations C12 interpret geometrically the relationships between equations in systems C13 demonstrate an understanding that an equation in three variables describes a plane E1 demonstrate an understanding of the position of axes in 3-space E2 locate and identify points and planes in 3-space
ICT Outcomes: BOC 12.1 (relates to 9.1 – 9.4) use a wide variety of technology, demonstrate a clear understanding to technological applications, and consistently apply appropriate technology to solve curriculum problems PTS 12.5 (relates to PTS 9.6 and RPSD 9.2) create electronic charts, tables and graphs; and design, create, and manipulate spread sheets and databases, as part of the process of collecting, analyzing, and displaying data independently. |
| Projected timeline for preparation and for carrying out activities |
- time to set up laptops, or computer lab (check for Autograph on computers!) - 10 min. to explore graphing various equations in 3 dim. - 15 min. for Part 1 (Plotting Points with Coordinates) - 40 min. for Part 2 (Visualizing Phone Charges – Intersecting Planes) |
| Equipment Requirements: (computers, software, etc) |
- computers/laptops - Autograph |
| Teaching materials provided (Blacklines, worksheets, templates, teacher materials) |
- Autograph instructions - Activity worksheets |
| Resources available for teacher/student use (websites, references, etc) | - textbook (Mathematical Modelling, Book 2) |
| Detailed instructions for each activity or lesson (teacher notes, activity information, learning strategies, teacher role, student roles) |
- Handout: Visualization in Three Dimensions (PDF version) (modified by Joan Wells from Autograph Handout 3 Nov 18 2004 by Rona Chisholm – Cleary) |
| Student products expected |
- completion of handout - answers to text book questions |
| Logistics (organization, grouping, management issues, access to technology) |
- computers/laptops for each student would be ideal, but working in pairs is acceptable - check for available computer lab or laptop cart - check to make sure Autograph is installed on computers |
| Assessment information (e.g., rubrics for products and/or process) |
- check for completion of tables - discuss/correct questions |
| Possible extensions | - Focus C pg. 21 Telephone Problem |