Created on: July 8, 2009

Website Address: https://library.curriki.org/oer/1-1-The-Linear-Pattern

IN COLLECTION

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.

**Essential Question(s):**

What will happen in the future if this change remains constant?

**Desired Learner Outcomes:**

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 |

**Standards:**

Algebra Standard

- 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

- use observations about differences between two or more samples to make conjectures about the populations from which the samples were take

- 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 |

**Procedures:**

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.

**Required Attachments:**