Squares, and circles ... and squares, and more circles. In this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the area...

One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...

Everyone wants the best price when shopping — no matter what they are trying to buy. Given pricing information, pupils must solve a system of equations to determine the best option for printing tickets.

Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...

How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...

Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...

Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal. 

After watching a video on conversions, learners convert meters to feet, dollars to pounds, pounds to Euros, gallons to liters, and kilometers to miles. Then, they graph the conversion changes onto graph templates.

Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 

Using equations to model events. The resource contains four items that prompt individuals to write and solve basic equations. They must reason abstractly and quantitatively while attending to precision when solving the problems.

Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions. 

It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...

Get real! Four simple questions assess knowledge of topics in the real number system. Topics include ordering radicals, multiplying and simplifying radicals, and writing values in scientific notation.

Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on...

Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...

Function notation is like a code waiting to be cracked. Learners take the graph of an unknown equation and manipulate it based on three different transformation changes of the function equation. The final step is to look at three points...

A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...

A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...

Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...

Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 

Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...

The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...

Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...

Take a matching problem and take challenging exponential graphs and combine to make one thought-provoking question. Learners look at four higher level exponential functions to match to the four graphs placed together. The equations and...