The measurements are all in the can. The review for the math portion of the General Certificate of Secondary Education assessments provides scholars the opportunity to review finding volume and surface area of a cylinder. Pupils work on...

Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...

Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....

Engineering design projects serve as great opportunities for collaborative problem solving. In this case, students work in small groups designing, building, and eventually testing a structure that meets a teacher-specified objective. It...

The penny arcade gets the statistics treatment in this fun probability investigation. A non-standard game of chance is described and then the class is set loose to find missing probabilities, determine common outcomes, and evaluate...

Discover creative ways to use surface area formulas. In the assessment task, scholars apply estimation strategies to determine surface area in non-routine problems. They consider surface area of kitchen sponges, rock salt crystals, and...

Coding works for other fields. The free-response questions for AP Computer science require pupils to develop code to solve a problem. Problems range from creating a histogram to developing an encryption program. Teachers use the...

Just how far can I see? The short assessment question uses the Pythagorean Theorem to find the distance to the horizon from a given altitude. Scholars use the relationship of a tangent segment and the radius of a circle to find the...

Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...

Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...

Do some interpretive modeling. Class members watch three examples of interpreting key features of a graph of a quadratic to find solutions to a real-world problem. Learners review how to find the key features on a graph using technology...

Simulate an exciting graphing calculator-based lesson. Individuals watch and participate creating simulations using the random number generator in a graphing calculator to answer probability problems. Learners then build simulations to...

Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...

Zoe is decorating a cake for her grandpa's birthday and needs to know how many more candles to add. Follow along as she explains how to set up and solve algebraic equations in this step-by-step presentation. Equations with negative...

This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...

Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...

class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.

Learn the importance of geometry to tailors. Given a shirt sewing pattern, scholars determine the actual size of the shirt. After which they answer questions that require problem solving and extending their understanding of scale.

What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...

Viewers are presented with seven problems with parallel lines and angle relationships and must use the given information to find the measures of specific angles. To finish, they explain their process in finding the measures in the...

Show your class that finding angle measures is a regular calculation with a resource that provides 12 problems dealing with the measures of angles in regular polygons. Pupils use formulas for the sum of measures of angles in a polygon to...

In the eighth activity in a series of 28, math scholars justify the steps of solving algebraic equations. They solve linear equations through an analysis of equality properties, write each equation from a problem situation, and then...

Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...

Would you rather have a bowl of dimes or a bowl of quarters? A video introduces the problem by presenting two bowls, one full of quarters and another full of dimes. Learners use information from a CoinStar receipt to calculate the number...