How do we determine how much information to include and what can be left out? By playing a game of 20 questions, the class generates the best strategies for finding a number. They then move on to guessing the next letter in a short...

Three pages make up a reference page designed to help parents understand the concept of division. Division strategies are showcased using detailed descriptions and labeled examples. 

It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...

Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...

Sometimes simple is just better. A set of activities teaches young mathematicians about using plausible estimation to solve problems. They break problems down to simpler problems, use rounding and estimation strategies, and consider...

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...

Predict the future of education through a mathematical analysis. Using a project-based learning strategy, classes examine the pattern of student-to-teacher ratios over a period of years. Provided with the relevant data, learners create a...

Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.

Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.

Explore the measures of central tendency through a challenging task. Given values for the mean, median, mode, and range, collaborative groups create a set of data that would produce those values. They then critique other answers and...

What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...

Teach solving absolute value inequalities through inquiry. Groups use their knowledge of absolute value and solving inequalities to find a solution set to an absolute value inequality. Working collaboratively encourages discussion,...

A seven question worksheet asks learners to use place value strategies to decide if each number comparison is true or false.

Learners count by tenths, hundredths, or tens in a task that uses decimal place value strategies. The young mathematicians then use <, >, or = to make correct comparisons between expanded decimal notations.

That would make a lot of cans! Learners analyze a photo of a truckload of aluminum to determine its value. The provided information includes the weight of a smaller block and the dimensions of the larger block. It's up to your...

Here's hoping that we can all fit into the pool. Given pictures and dimensions of a pool in tile lengths, scholars decide how many people can fit into the pool. This requires consideration of area, as well as the application of some...

Nobody wants to make Nana mad! Help Mr. Meyer fix the chocolate milk he prepared for his Nana using too many scoops of chocolate. Youngsters develop a problem-solving strategy that leads to the solution using ratios and proportions.

The risk of contracting an infection in the hospital is low, but it does happen. Learn what risk factors have the highest correlation with hospital-acquired infections in the final lesson of a three-part series. Using the open source R...

Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...

While a stopped clock is right twice a day, a fast or slow clock confuses people for weeks. Scholars observe a clock running slow and must correct it before observing a clock running fast and working it backward. Finally, a multi-step...

Unravel the mystery behind the infamous number pi. Scholars complete a series of activities that explores where pi comes from, its digits and estimation strategies. Pupils should be ready to measure, calculate, and look for patterns to...

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...

Three heads are better than one. After reading a conversation between three friends about how to compare fractions, scholars analyze and discuss each presented strategy. These include using unit fractions, using benchmark fractions,...

Conduct indirect measurements three ways. Working in groups, pupils come up with different ways to measure three tall objects indirectly. The teacher provides measurement information requested by the teams, and learners then calculate...