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

Focusing Questions

How can Geometer’s Sketchpad support working with patterns?

Instruction

Framing The Session

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

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

Guided Practice

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

Getting Started

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

Work Time

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

Share

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

Share

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

Share

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

Answers

For more information

Office of Instructional Technology

oittc@schools.nyc.gov

www.nyc.gov/schools

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)

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.

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