Outcome (lesson objective)
Participants will analyze and compare different functions using a discovery-based activity. / Time Required
- 60-80 minutes
2014 GED® Assessment Guidelines
A.7. Compare, represent, and evaluate functions.
A. Compare two different proportional relationships represented in different ways. Examples include, but are not limited to: compare a distance-time graph to a distance-time equation to determine which of two moving objects has a greater speed.
D. Compare properties of two linear or quadratic functions each represented in a different way (algebraically, numerically in tables, graphically, or by verbal descriptions). Examples include, but are not limited to: given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Session Description / Delivery Format
After being provided a problem in which they are asked to build staircases, participants will solve increasingly demanding problems in relation to the stair activity. Content will range from basic arithmetic operations to the comparison of multiple functions allowing for differentiation in the classroom. / Face to face conference / Facilitated online
Face to face structured session / Self-directed online
Other / Blended
Data Sources/Analysis Findings
- 2014 GED ® Instructor Survey
- Shifts in the 2014 GED® Test
Participant Prior Knowledge
Basic understanding of staircases.
Materials (including pre- and post-work)
- PowerPoint presentation
- Manipulates (square tiles and interlocking cubes)
- Graph paper
- Building a staircase activity sheet
Instructional Activities
Topic / Strategy / Notes
Linear patterns / Participants will use multiple modes (arithmetic, manipulatives, etc.) to decipher linear patterns.
More complex patterns / Participants will use multiple modes (arithmetic, manipulatives, etc.) to decipher patterns that extend linear functions.
Comparison of functions / Participants will use information obtained in the prior topics to compare and contrast the different types of staircases addressed in the activity.
Assessment/Evidence (based on outcome)
Assessment will be based on participant interaction and responses posed throughout the activity.
Technology Integration
- PowerPoint
- GeoGebra
Ideas for Lesson Extension
Multiple points within the activity provide opportunities for extensions. One such example is building on the concept of functions by tying it to area concepts. High-achieving students can also explore functions beyond linear and quadratics.
Attach handouts, storyboards, supporting resources, etc.
ABLE PDN Facilitated Strand Lesson Template