What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...

Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

In this physics worksheet, students use Ohm's law to solve for voltage, current and resistance. They answer 13 problem solving questions using Ohm's law.

Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.

Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate...

Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...

Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there...

Transform your scholars into mathematicians as they develop their own geometric definition. The task asks individuals to compare cylindrical objects and create a definition for the disc-ness of each object. They may use any method and...

Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...

In this vector worksheet, students find the coordinates of a midpoint, compute the position of vectors, and write a vector equation. This two-page worksheet contains four problems.

In this quadratic equations worksheet, students solve 12 short-answer problems.  Kids find real and irrational solutions to given functions.  Students raise irrational numbers to irrational powers.

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

In this algebra worksheet, young scholars describe the relationship between a line graph and its data. They define the reasons line graphs are used and discuss increasing and decreasing lines. There is one involved questions, requiring...

In this Algebra I/Geometry/Algebra II worksheet, students create a scatter plot and analyze the data to determine if the data show any type of correlation.  The four page worksheet provides extensive explanation of topic,...

In this kinetic energy and voltage worksheet, learners use the formula that relates the kinetic energy of a particle to its voltage to answer 3 questions. Students manipulate the equation to solve for the speed of particles given...

Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...

Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...

Let's paint the town equal parts yellow and violet, or simply brown. Pupils calculate the amount of blue and red paint needed to make six quarts of brown paint. Individuals then explain how they determined the percentage of the brown...

Most problems can be solved using more than one method. A activity includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...

In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.

In this formulas worksheet, students transform and algebraically manipulate formulas for various variables.  There are 5 multiple choice questions.