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
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
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).
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