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Illustrative Mathematics
How Many Cells Are in the Human Body?
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some...
Partnership for Educating Colorado Students
Mayan Mathematics and Architecture
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
NASA
Understanding the Effects of Differences in Speed—Problem Set D
Fall back and slow down. The fourth lesson in a six-part series on air traffic control leads the class to find the difference in distance traveled based upon the difference in speed. Pupils work through a problem related to walking...
Curated OER
Compounding with 100% Interest Rates
Your young economists will be amazed at the effect of compounding interest more frequently in this collaborative task about making sound financial choices. Learners are walked through the calculations of a couple of examples and then...
EngageNY
Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities
Cultivate the tree of knowledge using diagrams with two stages. Pupils create small tree diagrams to determine the sample space in compound probability problems. The lesson uses only two decision points to introduce tree diagrams.
EngageNY
Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Calculate theoretical probabilities and compare them to experimental probabilities. Pupils build on their knowledge of experimental probabilities to determine theoretical probabilities. Participants work several problems with the...
EngageNY
Calculating Probabilities of Compound Events
Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations II
The 23rd segment in a series of 25 presents random samples from two populations to determine whether there is a difference. Groups determine whether they believe there is a difference between the two populations and later use an...
Techbridge Curriculum
Calculating Rainwater Runoff
Thirsty plants soak up every bit of a rainfall, but what happens to the rain that hits the roof? Calculate the amount of rainwater from your school's roof with an Earth science activity, which brings measurement skills, observation...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
EngageNY
Describing a Distribution Displayed in a Histogram
The shape of the histogram is also relative. Learners calculate relative frequencies from frequency tables and create relative frequency histograms. The scholars compare the histograms made from frequencies to those made from relative...
Illustrative Mathematics
How Thick Is a Soda Can I?
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...
Mascil Project
Sports Physiology and Statistics
If I want to build up my heart, where should I start? Science scholars use statistics in a sports physiology setting during an insightful experiment. Groups measure resting and active heart rates and develop a scatter plot that shows the...
National Wildlife Federation
Wherefore Art Thou, Albedo?
In the sixth lesson in a series of 21, scholars use NASA data to graph and interpret albedo seasonally and over the course of multiple years. This allows learners to compare albedo trends to changes in sea ice with connections to the...
EngageNY
Measuring Variability for Symmetrical Distributions
How do we measure the deviation of data points from the mean? An enriching activity walks your class through the steps to calculate the standard deviation. Guiding questions connect the steps to the context, so the process...
EngageNY
Summarizing Deviations from the Mean
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an...
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
EngageNY
Estimating Probabilities by Collecting Data
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
Curated OER
Exploring Number and Operation in Secondary Mathematics
Young geometers need a clear understanding of perimeter, volume, and area. This lesson provides a worksheet to help small groups of learners to calculate various measurements of objects and choose the proper units for measurement. It...
Mathematics Assessment Project
Using Positive and Negative Numbers in Context
Measure the temperature of your math class with a temperature-based lesson on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...