Scale up your lessons on geometry and ask learners to investigate conditions on triangles, scale drawings, the area and circumference of circles, and angle relationships. The resource includes activities and a homework assignment.

The Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.

Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...

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...

Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.

Only you can prevent shoplifting. Class members use a given floor plan to investigate the placement of a security camera. They must incorporate knowledge of area and percents to complete the task.

You'll never look at floor tiles the same again. An assessment task prompts learners to investigate relationships between patterns involving squares and kites to determine angle measurements. They then prove...

Clink, clink! Young mathematicians investigate drinking glasses composed of known solids (cones, cylinders, and hemispheres). Next, they determine the volumes of these glasses.

Are the length and width of birds' eggs related? Young ornathologists use a scatter plot to investigate the relationship between the length and width of eggs for Mallard ducks. They then determine the egg with the greatest...

There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.

Connect cubic graphs to equations. After connecting solutions of a cubic equation to zeros of its related cubic function, pupils investigate a translation of the cubic function.

Let's save some money! High schoolers investigate different options for price reductions. They then determine the best and worst sale from a list of options.

Everyone loves a sale! As pupils investigate a sale on t-shirts, they determine the percent discount and original prices.

Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.

In the assessment task, learners investigate the rate at which a faucet leaks. They use unit conversions to determine the amount of water that leaks in a year. Maybe they should just fix the leak! 

Could you carry a million dollars in $1 bills? As a middle school assessment task, learners investigate different questions regarding a million dollars. They then determine how long it would take to make a million dollars, how...

Don't just use a fraction of this resource ... use it all. Learners first investigate patterns to determine how to deal with fractional exponents. Individuals then evaluate expressions involving fractional exponents.

Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...

Don't use an average resource ... use this one. As a middle school assessment task, learners first determine mean, median, and mode of salaries given in a frequency table. They then investigate how a change in one value changes the...

Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...

By making the following changes to the roads, we can prevent several accidents. A multiple-day lesson prompts pupils to investigate accidents in a small town. Pairs develop a proposal on what to do to help reduce the number of...

Will the time come when women outperform men at the Olympic Games?Scholars investigate gender differences in Olympic Games performances. They study the historical participation of women and then analyze data to determine if women will...

How many ways can you arrange two six-hole Legos? Scholars practice their understanding of combinations as they investigate this question. As they create a plan, they develop a specific definition of a combination.  

Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.