Types of questions or activities that can be used to help students practice modeling linear situations, or assess their understanding of linear models.
A list of "hidden" learning objectives for teachers to choose among when developing a linear equations problem or project.
How to recognize vertical and horizontal dilations in both graphs and equations.
How to determine both vertical and horizontal translation factors (relative to a "parent function") when looking the definition of a function.
A list of GeoGebra applets that help students better understand the relationship between the coefficients in an equation and the corresponding graph.
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 …
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. …
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.