rdebro42

An inquiry task where students match equations on cards to graphs of quadratic functions. This forces students to attend to function forms and how their parameters impact the features of the graph. This task assumes prior knowledge of algebraic simplification of binomials and factorization of trinomials. Zip file contains Word and PDFs of 3 files - 6 graphs, cards with function equations, and graphing practice for afterwards.

Inquiry lesson for students to discover logarithm laws. Extension to the proof of the log laws

A guided inquiry task to help students understand the significance of each stage of the function modeling process. One question with structured prompts for the types of things to write about is provided, followed by three practice questions each with data that is approximately quadratic. This may require two lessons, depending on the length of your lesson period. Or it could be done in one guided lesson with the practice questions being assigned for homework.

A guided task to help students develop the concept of factoring. This task assumes/reviews prior knowledge of using distributive property (FOIL) to multiply a binomial by a binomial to make a trinomial. It helps students to see factoring as the reverse process of simplification using the area model of multiplication. This is a set of two tasks for trinomials where a=1 and for trinomials where a is not equal to 1. It is possible that you might do this in two separate lessons to help students dig

A structured inquiry task to draw students' attention to the connection between quadratic function equation forms and their graphs. This is a much more structured inquiry that draws more explicit attention to the parameters by prompting students to factorize or simplify equations to convert one form to another. This draws the students' attention to the connections between the geometry and the algebra.

A mathematical investigation of different kinds of function transformations. The task requires use of a graphing tool and leads students to explore vertical and horizontal stretches and compression and vertical and horizontal translations. The task also has students explore these with different functions, which helps them to appreciate the variety of non-linear functions that exist.

A guided inquiry task to help students see the features of quadratic graphs that are linked to the different equation forms of a quadratic function (vertex form, factored form, standard form). I have available another task that does this, but that task provides context questions in each of the available forms. This task provides only equations to graph with the help of tables of values and the GDC. Since this task is context free, it can help strip away layers of complexity so students may focus

A mathematics investigation of the graphical properties of functions and their inverses. This helps students to discover the reflective property of graphs of inverses and can start students on the process of noticing the relationships between equations of functions and their inverses.

An inquiry activity in context to help students determine the meaning of parameters in vertex form, factored form, and standard form of Quadratic Functions.

A mathematical investigation of the multiplication (compound events) rule in probability.

A real-life application of vectors using a map of Salt Lake City, Utah, USA. Addresses concepts of magnitude and direction.