Types of questions or activities that can be used to help students practice modeling linear situations, or assess their understanding of linear models.
“Hidden” Learning Objectives for a Linear Equations Problem or Project
A list of "hidden" learning objectives for teachers to choose among when developing a linear equations problem or project.
Function Dilations: How to recognize and analyze them
How to recognize vertical and horizontal dilations in both graphs and equations.
Function Translations: How to recognize and analyze them
How to determine both vertical and horizontal translation factors (relative to a "parent function") when looking the definition of a function.
GeoGebra Applets That Help Understand Equation Behavior
A list of GeoGebra applets that help students better understand the relationship between the coefficients in an equation and the corresponding graph.
Summary: Algebra
When faced with an algebraic expression or equation, there are only two types of things you can do to it without changing the quantitative relationship that it describes. Re-write one or more terms in an equivalent form This can be done to any expression (no equal sign) or equation (with an equal sign) at any …
Keep Your Eye On The Variable
The following equations all have a similarity: $latex y = |x - 8| + 5\\*~\\*y = 4(x - 6) - 7\\*~\\*(x - 3)(13x + 11) = 0\\*~\\*y = (x + 1)^2 - 9&s=2&bg=ffffff&fg=000000$ The similarity is that they all have expressions like (x- 6) or (13x + 11), which are often either translations or factors. …
Analyzing Linear Equations: a summary
Explanation of key linear equation concepts: slope, intercepts, and equation forms. Discussion of how slope-intercept form, point-slope form, and standard form are related to one another. Includes general descriptions of the various starting points a student is likely to encounter in problems, and how to proceed from there.
