Mathematics Active Learning

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 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).

This contains a series of questions involving the graphs of functions and the graphs of their derivatives. Students must make connections between critical points on one and what they mean on the other for the same function. This can be used as a group activity or a whole class demonstration.

Students use the triangle sum property, vertical angle equality and equality of alternate interior angles to complete a puzzle diagram. If your class does not yet know that alternative angles are equal, simply mark those angles = before making copies (only a couple are involved). A few basic algebraic equations are necessary to find some angle measures.

Students have difficulty observing parameters of polar graphs on calculators by simply plugging in an equation. This exercise involves matching a graph to an equation with the assistance of a graphing calculator. Equations are grouped by type of graph and students are asked to make generalizations about what to expect of each graph type when given an equation by changing variables that change the graph. Graph types included are simple circles, limacons, roses and lemniscates. Students should pra

From graphs of pairs of linear and quadratic (vertical parabolas only) inequalities, students write equations of the two graphs. NOTE: You may have a pdf version which requires layering before you print. Be patient.

Students plot the graph of rational functions after algebraically identifying y-intercept, hole(s), x-intercept(s), vertical asymptote(s), horizontal asymptote or other asymptote and end behavior. Includes synthetic division in a couple problems as well as vertical and parabolic asymptotes.

Students use the graphs of quadratics to write and equation. Also included are x-intercepts and direction of opening problems for which they write equations.

Practice worksheet wherein students graph polynomials in factored form or find the roots using the factor theorem, synthetic division and the quadratic formula as necessary without using a calculator. Y-axes are unnumbered.

This includes a series of functions of rational, square root, absolute value and piecewise functions that are plotted by hand. It is a good review for advanced classes or a learning experience for lower level classes.

Includes fifteen problems involving addition, subtraction, multiplication and division operations with numbers with different significant figures. Some problems also involve scientific notation.

Students arrange values of five trig functions in ascending order. The first page involves functions of radian measures from 0 to 2pi. Twelve of the functions involve the same trig function, while two involve a mixture of trig functions. The second page involves functions of positive and negative angles in degrees and radians. Eight involve the same trig function, while six involve a mixture of the six trig functions.

Students write linear inequalities for the graph of a system of two linear inequalities. The graphs are large so that the graphs are easily read with shading. To save paper, select print two pages on one in the pdf file. NOTE: You may have a pdf version which requires layering before you print. Be patient.

Students arrange five decimals, fractions and/or percents from smallest to largest in value. Some questions involve all decimals, some involve all percents and some involve all fractions. The majority involve some combination thereof. This can be used as an individual activity or a small group activity.

Includes a presentation of some concepts involved, a couple problems for demonstration and a series of practice problems.

This has a series of problems involving quadratics where students locate vertices, use the quadratic formula, complete the square, use the Square Root Property to solve, identify types of roots, indicate domain and range, find y-intercepts and identify intervals of increasing and decreasing. Problems do not include imaginary numbers.

Students evaluate f(x) given specific values. In addition they evaluate piecewise functions and function combinations that re similar to the definition of the derivative. This can be used as review, summary or diagnostic, depending on the level of the students.

Given the graphs of rational functions, students identify intercepts, holes and vertical and horizontal asymptotes. This is best used before locating these features given a function equation.

This is a series of problems involving domain restrictions in rational and square root functions and composition of functions. Some of the composition problems involve algebraic compositions and some involve numerical compositions.

This is a worksheet with a series of mini angle puzzles involving triangles, quadrilaterals and parallel lines.