Mathematics Active Learning

Two-page activity which reviews the definition of a logarithm, the inverse nature of exponents and logarithms, graphing logarithm transformations. and transforming between exponents and logarithms (including solving for a variable in the process). Included is a series of questions that ask students to explain why certain properties of logarithms exist (for example "Why does log 1 = 0?")

Students match the graph of a quadratic, the x-intercepts, and the equation in standard form. Print out the file on card stock or laminate regular paper. Cut the cards apart to make a set for teams of two or three. The original has the cards that match placed together.

Students write equations of polynomial functions by looking at their graphs. Graphs include those that cross the x-axis and those that are tangent to the x-axis.

Students match the graph of a polynomial function with the sign of the lead coefficient, the degree and the end behavior.

Students use the TI-84 Calculator to solve systems of equations using the Calculate Function. Systems include rational, linear, quadratic, exponential and absolute value functions. Even if students have not formally studied these functions, the activity works just fine and exposes them to different functions.

Given graphs of rational functions, students write and equation. Graphs include holes, pass through x-intercepts and bounce x-intercepts involving the same factors.

Students cut apart triangles and then match the sides to form a large parallelogram. Students match the standard form of the equation of a line to the slope-intercept form or point-slope form (equal number of each category).

Students use the properties of parallel lines and triangles to find the angles in the diagram.

Students cut apart triangles and then match the sides to form a triangle square. Students match expressions involving Pythagorean identities, reciprocal identities, quotient identities, odd and even identities and co-function identities. Transformations involve one or two steps.

This worksheet contains a series of compound figures with combinations of squares, rectangles and triangles for which students must find the area. Involved is addition of areas as well as subtraction of areas.

This file may be projected onto a white board or converted to a smart board file. It is an introduction to polynomial function graphs.

Students cut apart triangles and then match the sides to form a larger diamond shape. Students match given congruent triangles to one of their corresponding parts as well as three given congruent parts to the corresponding congruent triangles. Students must either draw the triangle or simply use the order of the letters to do the matching.

These problems involve perfect square trinomials and the different of two squares. They may be used as a multiplying activity or a factoring activity. All binomials involve two variables. Students work in groups of two or three to match two binomials to a trinomial which is their product.

This worksheet contains series of questions which involve the concepts involved with electrostatics. The second page contains a series of multiple choice questions which develop a deep understanding of the operation of an electroscope.

This worksheet involves a series of problems involving applications of quadratic functions including projectile motion, area and economics. To complete these problems students should know the quadratic formula and the formula for the x value of the vertex (-b/2a).

Students use sign charts to solve polynomial, rational and radical inequality equations. Includes some absolute value factors.

Students cut apart triangles and squares an then match the sides to form a topaz shape. Students match the numbers 2 and 3 raised to rational powers to the equivalent expression expressed as a radical.

Students cut apart each small triangle. Then, they match the equation of each function to the equation of its inverse. A diamond shape will be formed. Functions include linear, quadratic, cubic and rational. Two functions that are inverses of themselves are included.

Students explore rational graph behavior at holes and asymptotes. Graphing calculator is used.

Given the graph of a quadratic function, students write an equation in vertex form.