The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....

Your young boaters will enjoy writing and solving inequalities, and representing the solution graphically in this task set in the context of renting a boat.

You won't have to force your classes to complete these engaging activities! Through exploration, young scientists learn that force has both magnitude and direction. They draw force diagrams, investigate force models, and complete a...

Challenge young mathematicians' ability to compose and decompose shapes with this fun geometry puzzle. The goal is simple, locate all of the rectangles shown in a picture of three overlapping rectangles. Perform this activity as a whole...

Give your class a chance to show what they know. In the last installment of a seven-part series, pupils summarize and review what they have learned in the series. They present their solutions for creating a biosensor to detect cancer...

Divide and conquer the geometry problem. Young scholars consider how to subdivide triangles into smaller ones that have equal areas. They must apply their knowledge of medians to help accomplish the task.

Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the...

Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....

Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...

Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...

Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...

Can you design the perfect chair? Scholars apply the engineering design process to design and build a prototype of a new type of chair from wires. They test their designs with a wooden artist model or stuffed animal.

Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.

Whose home is it anyway? Design teams plan a housing development in which they must also protect a native species. The teams consist of a project manager, civil engineer, environmental engineer, and graphic designer. Teams present their...

Triskaidecaphobia is an extreme superstition to the number 13—and ironically the answer to the word problem is 13! Presented with a series of descriptive data, individuals analyze the data to determine the population size. They...

Matchy-matchy no longer exclusively applies to fashion. Scholars work through three levels of practice matching position and velocity graphs. Part of a series covering dimensional kinematics, each question provides immediate feedback and...

The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...

Let me get an angle on this! Investigate the orientation of a photovoltaic panel and its effect on efficiency. By using a light source, learners collect and plot current output to determine the ultimate orientation. The resource includes...

This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...

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...

One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...

How can nanoparticles be used in the battle against skin cancer. Class members take on the question as they gather information about electromagnetic radiation, specifically ultraviolet radiation. Pupils learn about the mathematical...

Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.

Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...