After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

Burgers and salads and sodas, oh my! Scholars use a menu to investigate the Fundamental Counting Principle. They create tree diagrams to illustrate the number of possible choices for each given scenario.

Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...

Students discuss that the conservatin of energy states that the energy imput must equal the energy output. They then figure out how can a machine help you to perform task otherwise considered impossible? Students discuss the six simple...

Where did all the variables go? Scholars learn how to interpret an equation when they eliminate all variables during the solving process. They interpret the solution as infinite solutions or no solutions. 

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...

A video presentation shows duck-shaped soap that has a $1, $5, $10, $20, or $50 bill in its center. Learners consider different population distribution of the bills to determine a reasonable price for the duck. 

Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...

Bring your young mathematicians into the fold. Scholars conduct an activity folding paper to see the relationship between the number of folds and the number of resulting layers in the 23rd installment of a 36-part module. The results of...

Tenth graders pretend to set up an ice cream shop in a make believe town of shapes.  In this geometry lesson plan, 10th graders work together to put up an ice cream stand in an ideal location and solve for the minimum given the shapes.

Learners discover the magic in mathematics as they solve numerical puzzles involving magic sums. They then make a conjecture as to why no additional examples are possible based on an analysis of the puzzles.

Connect ratios, probability, and combination outcomes with a challenging activity idea. It guides your learners through probability of an event as fractions or ratios, on a number line, and with correct vocabulary. The class will be...

Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...

 Students explore the likelihood of events.  In this logical thinking lesson, 3rd graders are given several scenarios and determine whether the possibility of the described event actually happening is likely, unlikely, or...

Students collect data and make predictions. In this probability lesson, students perform experiments calculating the chance of an event occurring. They draw conclusion based on their data.

In this problem solving worksheet, students identify the age of a man's three daughters.  The students are given the product and sum of the daughter's ages as well as the fact that the oldest daughter like vanilla yogurt.  The...

Learners explore the concept of probability.  In this probability lesson, students roll a six-sided number cube and record the frequency of each outcome.  Learners graph their data using a frequency chart and keep tally marks...

Everyone loves a lesson that involves throwing things around! To understand probability, your experimenters will predict how different cylinder-shaped objects will land when tossed. When the data is collected, they will calculate the...

Looking for an estimation activity a bit more involved than the typical "guess the number of jellybeans in the jar" game? Here, learners use a picture to estimate the number of people at a large event, look for potential problems with...

Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...

Young scholars explore probability and the process of data analysis and predictions. They participate in two activities, one involving a calculator and one the Internet, in which they make predictions and conduct activities to test...

Second graders explore probability. In this math lesson plan, 2nd graders discuss the possibility of choosing a certain colored tile from a bag. Students perform experiments and describe the outcomes as certain, possible, unlikely and...

Middle schoolers distinguish between possible and impossible graphs of functions, and to learn why some graphs are impossible. They have practiced plotting functions on the Cartesian coordinate plane

Elementary school learners investigate the attributes of a square. They discover that squares are polygons and examine squares found in everyday life. They concentrate on connecting the word, square, with the shape. As an...