Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

Happy Pi Day! This collection of games, experiments, and activities leads participants through an exploration of the many aspects and attributes of that mysterious quantity, pi. Activities range from using statistical...

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

Explore methods of solving quadratic equations. Review linear functions through playing a "face off" game. Using a graphing calculator, graph quadratic functions and identify the parabola. Define the number of roots in a linear equation...

A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...

Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...

Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...

In this fantastic physics and math lesson, student pairs create a ramp that will transport a rolling marble in order to learn about linear motion. Students use cardboard, straws, toothpicks, marshmallows, and paper clips in order to make...

Third graders describe, represent and compare fractions using pieces of a chocolate bar.  In this fractions instructional activity, 3rd graders demonstrate how to read and write fractions correctly. Students then integrate...

Students graph systems of linear inequalities. In this linear programming and profit instructional activity, students explore linear programming problems. They graph a feasible region in a linear programming problem and identify the...

In this classifying angles worksheet, 10th graders solve and complete 35 various types of problems. First, they match each type of angle with its correct description. Then, students determine whether the given lines or planes are...

In this polynomial functions learning exercise, 11th graders solve and complete 8 different problems that include various polynomial functions. First, they define a polynomial function. Then, students write the polynomial part in...

For this graphing worksheet, students solve and graph linear inequalities on a coordinate plane. Inequalities contain one variable. The solution set is sketched and colored. This worksheet contains eight problems on two pages, with an...

Students analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts of...

Learners develop locomotor movements. In this dance movement instructional activity, students identify lines and develop creativity while performing to "Cha Cha Slide". Learners discuss how to create dances and difficulty of...

For this applied mathematics worksheet, learners solve 4 various sets of problems that include scalar equations, existence of solutions, and inverse problems. They determine the number of solutions of a problem shown and justify their...

In this setting up equations worksheet, students solve 4 different problems that include setting up the equations in each problem. They write out an equation or set up an equations that describe each given situation. Then, students state...

In this differentiability activity, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page activity contains a discussion...

In this algebra worksheet, learners solve single variable linear equations. They solve 18 given equations for the given variable in each.

Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...

Students investigate equations that are in the standard form of a quadratic equation represented as Y=ax2+bx+c. They factor the equations into linear factors to determine the x intercepts. The graph is also used to determine the x...

Learners describe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and the dependent variable. They translate among graphic, algebraic, and verbal representations of relations and graph...

Middle schoolers participate in a lecture about linear inequalities. Individually, they graph different inequalities and describe its solution. They participate in a demonstration in which they solve a system of inequalities and...