Illustrative Mathematics
Calculating the square root of 2
Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....
Illustrative Mathematics
Games at Recess
A great non-calculation problem that lets your math minds explore without the pressure of the right answer. Your learners will have to compare boys and girls playing soccer and jump rope during recess. How many more boys than girls are...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Teach Engineering
Watt Meters to Measure Energy Consumption
It used watt amount of energy? This resource investigates the power usage of small household appliances. Using a watt meter, groups measure the actual wattage used by an appliance and then calculate the energy used daily.
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
Stats Monkey
Everything I Ever Needed to Learn about AP Statistics I Learned from a Bag of M and M's®
Candy is always a good motivator! Use this collection of M&M's® experiments to introduce statistics topics, including mean, standard deviation, nonlinear transformation, and many more. The use of a hands-on model with...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Big Kid Science
Measuring Shadows Using an Ancient Method
How did ancient peoples determine the height of really tall objects? Young scientists and mathematicians explore the concept of using shadows to measure height in a hands-on experiment. Paired pupils measure shadows, then calculate the...
Shodor Education Foundation
Triangle Area
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
Teach Engineering
Efficiency of a Water Heating System
Tired of waiting for hot water? Groups of three determine the efficiency of an electric water-heating device. They calculate the amount of energy it takes to heat the water and the theoretical amount of energy required to heat the water....
Teach Engineering
Catching the Perfect SAR Waves!
Zero in on an interesting resource involving radar technology. Groups construct a radar sensing unit and learn to calibrate the system. Using the radar system and the Pythagorean Theorem, they calculate distances between objects.
Teach Engineering
Energy on a Roller Coaster
Roll with your class into the idea of conservation of energy. Pupils use a roller coaster track to collect data to reinforce the concept of conservation of energy and the influence of friction. Class members then create a graph from...
Teach Engineering
Sliders (for High School)
Slip sliding away. Groups investigates the two types of friction by running an experiment that allows them to calculate the coefficient of static friction and the coefficient of kinetic friction. The experiment uses a box, a...
Teach Engineering
About Accuracy and Approximation
How accurate are robots? Groups draw lines by moving robots backwards and forwards by one rotation of the wheels. Using the appropriate formula, they determine the percent error in the length of the lines in relation to the calculated...
Illustrative Mathematics
Why Randomize?
Your statisticians draw several samplings from the same data set, some randomized and some not, and consider the distribution of the sample means of the two different types of samplings. The exercise demonstrates that non-random samples...
Illustrative Mathematics
Estimating Square Roots
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
MARS - Mathematics Assessment Resource Service
Applying Properties of Exponents
The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive instructional activity begins with a pre-assessment task to check for prior knowledge and then...
Teach Engineering
Measuring Surface Tension
How do you measure surface tension? The fifth installment of a nine-part series is an experiment where young scientists use tubes of different sizes to measure surface tension. They calculate the average and standard deviation of the...
Teach Engineering
Using Hooke's Law to Understand Materials
Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups...
Teach Engineering
Efficiency of an Electromechanical System
How efficient is a motor in a LEGO set? Future engineers conduct an activity where a LEGO motor-generator system raises an object to a specified height. They then show what they learned and use their measurements to calculate the energy...
Teach Engineering
Light vs. Heat Bulbs
Careful, that light bulb is hot! Compare heat and light energy using a simple light bulb. The exercise addresses energy conservation and presents actual calculations to determine the most cost-effective light bulb.
Curated OER
The Random Walk
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...
Curated OER
The Random Walk II
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...
Curated OER
Sounds Really Good! (sort of...)
Your friend Phil wants to know if he should play the lottery. Have your class use the given data to compute the expected value and explain to Phil what he should do and why. This handout is ideal for a quick assessment of skill and...