Math Mill

I used this as a homework assignment after introducing graphing rational expressions by noting their roots, holes, vertical asymptotes and domain from standard form by factoring. That's why there are detailed notes of how each factor matches to a feature of the graph.

The night before a test I assign a Last Practice (how do you study math, you do math) then I send the answers to the students via email. This Last Practice was before a test on rational expressions - graphing (roots, holes, vertical/horizontal/slant asymptotes, y-intercepts, domain), simplifying, multiplying and dividing.

This is an introduction to polynomial roots (real and complex) and using synthetic division. Students are given a polynomial and one factor then they must find the other factors and the roots. Then students are given graphs of polynomials and they must write the polynomial in factored and standard forms.

Students are given an equation or a graph and must find the factors, roots/zeros/x-intercepts/solutions, y-intercept, domain, range and end behavior. Then from the graphs, they write the function in factored and standard forms.

This is a worksheet for students to practice graphing rational expression by finding their y-intercepts, horizontal or slant (oblique) asymptotes based on whether the rational was proper or improper. They also use a graphing calculator for graphing then add the noted features. It's a nice application of polynomial division and graphing lines.

The day before a quiz I always give a "Last Practice" for homework. Students ask "How do you study math?" and I say "You do math." So the Last Practice is to help them study for a quiz. I will send the answers to them on email and then take quick questions in class the next day before the quiz.

The night before a quiz I always give a Last Practice for homework then send the students the answers - how do you study math, you do math. This is the Last Practice for graphing rational expressions by noting their roots, holes, vertical asymptotes and domain from standard to form.

This is a practice worksheet on graphing rational expression by finding their y-intercepts, horizontal or slant (oblique) asymptotes based on whether the rational was proper or improper. It's a nice application of polynomial division.

This is a review for a polynomial test. Items consist of function type, operations (add, subtract, multiply and divide), writing polynomials given roots and lead coefficient, finding roots of polynomials. Given a graph, finding factors, standard form, end behavior, domain and range.

The night before a quiz I always assign a Last Practice then I send the students the answers via email - how do you study math, you do math. This is the Last Practice on graphing rational expression by finding their y-intercepts, horizontal or slant (oblique) asymptotes based on whether the rational was proper or improper. The students had to add those features to the given graph. It's a nice application of polynomial division and graphing lines.

These are two practice worksheets on graphing rational expression by finding their y-intercepts, horizontal or slant (oblique) asymptotes based on whether the rational was proper or improper. The students had to add those features to the given graph. It's a nice application of polynomial division and graphing lines.

These 2 worksheets help students review polynomial operations, function and polynomial types, degree, end behavior, factoring (unFOILing and difference of squares) and writing polynomials from transformations.

The night before a quiz I assign a Last Practice. This was assigned before the quiz on polynomial roots - real and complex. There is practice writing polynomials in factored and standard forms when roots are given, along with a lead coefficient. Then a polynomial with at least one real root is given and the students must find all the roots and write the polynomial in factored form.

This is a last practice for the night before a test of all things logs. Use the entire sheet or just bits and pieces. Topics include evaluating logs, estimating logs, log properties, log equations and writing equations of functions from graphs (linear, quadratic, exponential and logarithmic).

This is a practice sheet (2 per page) of simplifying rational expressions by factoring. Factoring includes GCF, unFOILing, difference of squares and grouping. Then students are to find the value that makes the expression undefined.

I assign Last Practices the night before a quiz so students have something to "study." I then email them the answers so they can check their work and I answers questions the next day before the quiz. This right triangle trig last practice has all 6 trig functions, finding angles, solving triangles and using the calculator to evaluate trig functions for non-special angles.

This is a practice worksheet after teaching the special triangle patterns (30-60-90 & 45-45-90). I like to use different measurements to help students learn that radicals are just numbers and a special triangle pattern may be there even if it doesn't look like it.

I used this as an after quiz activity to review polynomial operations and factoring. Operations include multiplication, additional and subtraction. Factoring includes unFOILing and difference of squares.

This is a practice worksheet on multiplying and dividing rational expressions by factoring. The factoring includes GCF, unFOILing, difference of squares and grouping

This is a practice worksheet on multiplying and dividing rational expressions by factoring. The factoring includes GCF, unFOILing and difference of squares.