Lasting Ideas & Results:
Linear Patterns are the simplest pattern and occur daily, including rates of speed, hourly wages, tax, etc. Students will be equipped with a multi-faceted approach to notice a linear pattern, solve efficiently, and analyze the solution. Students
will examine situations where linear patterns describe a scenario well and also ineffectively.
What will happen in the future if this change remains constant?
Desired Learner Outcomes:
NCTM Standards for Grades 6–8
|Students will be able to…||Students will know…|
|predict a future event based upon a linear pattern||why the word 'linear' is used to describe constant change|
|analyze an experimental method to determine its effectiveness|| |
- identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations
- model and solve contextualized problems using various representations, such as graphs, tables, and equations
- use graphs to analyze the nature of changes in quantities in linear relationships
- use geometric models to represent and explain numerical and algebraic relationships
Data Analysis and Probability Standard
- use observations about differences between two or more samples to make conjectures about the populations from which the samples were take
Problem Solving Standard
- build new mathematical knowledge through problem solving
- solve problems that arise in mathematics and in other contexts
- communicate their mathematical thinking coherently and clearly to peers, teachers, and others
- recognize and apply mathematics in contexts outside of mathematics
|Describe Performance Tasks||Explain &/or Reference Criteria|
|classroom discussion||answers included in presentation|
|individual work||answers included in presentation|
|homework project - graph||answers will vary, but based upon work in presentation, answers included in next lesson|
The presentation (keynote or powerpoint) includes detailed lecture notes with solutions to the problems.
Modifications, Adaptations, & Accommodations:
The homework assignment is open-ended, students may answer the problem using a spreadsheet, poster, or other presentation methods.