Here, second graders are tasked to find the patterns that have an even number of tiles. They are asked to think about why these patterns are even or odd and explain how they know.

Here's a sweet resource on sample spaces. An enticing interactive allows users to list all possibilities for the flavors of candy given to a friend. Scholars must also determine whether permutations or combinations are more...

Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...

Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.

How many ways can you make the number 124 using only tens and ones? Use a task that prompts young mathematicians to make 124 in as many ways as possible.

How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.

Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...

Teach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the...

It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...

Any vintage video game users in the room? Young scholars use a video presentation to analyze patterns in pixel arrangements. By writing an arithmetic sequence, they make predictions about the size of the image.

Go big or go home! Learners watch a video rendition of the creation of a penny pyramid. Their task is to determine the number of pennies in the pyramid. The lesson encourages multiple methods, including function building or volume formulas.

Here's a new meaning to the expression throwing away money...a carpet of coins! An intriguing lesson requires calculations to determine the coin that would be the cheapest option, but it's a little tricky. The cost of the coin...

You would probably do anything for your Nana, including fixing her mistakes! Nana provided the wrong ratio to mix red and white paint, and she didn't realize it until after she mixed the paint. Your class now needs to figure out how to...

Imagine a world built of triangles. A performance task asks scholars to consider just that. They use their knowledge of special segments of a triangle to make decisions about the area of triangular plots of land.

Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...

Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...

A short video introduces the triangle that illustrates how to find any value given the other two in the density formula. Class members use the triangle to work several problems to find the mass, volume, or density of an object.

An interactive resource challenges mathematicians to show what they know about prime factorization. Five multiple-choice, true or false, and discussion questions use chocolate chip cookies to set a real-world application of the...

Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions. 

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...

Fifth graders demonstrate the concept of perimeter and area using manipulative. In this area and perimeter lesson, 5th graders explore area and perimeter through the exploration style of teaching using eatable and non-eatable...

First graders engage in a lesson that gives the research basis for the use of manipulatives for the basic operations in mathematics. They use the variety of tools to solve basic problems. The lesson has valuable resource links for the...

Students discover how they can use manipulatives to solve word problems. In this problem solving lesson, students read Raul's Apples Problem and then complete a worksheet, using beans or counters to solve the problem. Students discuss...

Third graders construct tangrams. In this tangrams lesson, 3rd graders manipulate basic shapes to construct tangrams. Students explore how shapes can be combined in different ways and develop spatial sense.