1. Recognize Linear Relationships and Solve Equations with Technology Using Geometer’s Sketchpad to Chart and Graph Patterns iLearn Grade 7 Math Session 4 of 8

2. Focusing Questions How can Geometer’s Sketchpad support working with patterns?

3. Instruction

4. Framing The Session Connect multiple algebraic representations: equation, geometric pattern, graph, table using Geometer’s SketchPad.

5. Teaching Open to page 415, Develop & Understand B, in the Revised IMPACT. Together we will follow the steps in the handout “Steps to Create a Graph and Table in GSP” to complete the problem set. To the steps

6. Guided Practice Use your graph to answer questions 3-8, p. 415 (directly in Geometer’s Sketchpad using the text tool).

7. Getting Started Let’s practice making tables and graphs in Geometer’s Sketchpad.

8. Work Time Create a graph and/or table for the pattern in Think & Discuss, page 414.

9. Share

10. Let’s look at some of the sketches you created. Share

11. How did Geometer’s Sketchpad help you make new mathematical connections? Share

12. How does this work address how Geometer’s Sketchpad supports working with patterns? Answers

13. For more information Office of Instructional Technology oittc@schools.nyc.gov www.nyc.gov/schools

14. Steps to create a graph and table of the pattern: 1. Edit menu: preferences: other: tenth (On Mac: adjust Scalar to tenths) 2. Text tool : double click in area: answer questions here; Start by answering #1 3. Graph menu: snap points, then plot points (enter table values given) (#2)

15. 4. Line tool : draw line through points, Display menu: line width: dashed (#2) 5. Point tool : place point on line Select it : Measure menu: coordinates Drag point until x = 8, what is the y value? (Use the unit point to rescale graph) (#4) Use the text tool to record your answer.

16. 6. To create a table: Select the ‘movable’ point: Measure menu: abscissa (x), and ordinate (y) Select the 2 measurements: graph menu: tabulate Double click on table: slide to next plotted point Repeat step 3 until complete Use your graph to answer questions 3-8, p. 415 (directly in GSP using text tool). Back to Assignment