An introduction into linear patterns

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1-1 The Linear Pattern

by mathercize Luke Lang

This algebra 1 course begins with a unit of linear equations and applications, with the first section being an examination of linear patterns. There are no equations, graphs, or tables… just real scenarios presented in picture form that require experimentation with linear patterns. The course is meant to be investigative and for students to construct strategies that will be expanded upon and refined throughout the coursework and this section is exactly that.
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1-2 Situations of Constant Change

by mathercize Luke Lang

An examination of a trip and various linear relationships within it, including distance, speed, fuel efficiency, and budgeting.
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1-3 Location, Location, Location

by mathercize Luke Lang

This lesson will look at (simpler) problems involving coordinates and slope. After we build p this notation, we will revisit the previous problems to make sure we can make connections across the multiple representations (i.e. the DANG method). The following questions will be discussed in small groups and are review based upon State and National Standards. The problems assess coordinates, Pythagorean theorem, and the relationship between tables and graphs. Next lesson we will focus upon slope, slope as a rate, and graphs of linear equations.
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1-4 When Change is Constant

by mathercize Luke Lang

The lesson today will look at slope as a rate and as constant change. We will re-examine a few previous problems and ask why the change was a constant amount.
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