This is a general collection of math resources. It is a large collection, but you can use the fliters on the left side of the screen to filter down to the specific education level you are looking for. (You are encouraged to filter by education level, not grade.)
This is the second in a series of tasks that are set …
This is the second in a series of tasks that are set in the context of a classroom election. It requires students to understand what ratios are and apply them in a context. The simple version of this question just asked how many votes each gets. This has the extra step of asking for the difference between the votes.
This problem, the third in a series of tasks set in the …
This problem, the third in a series of tasks set in the context of a class election, is more than just a problem of computing the number of votes each person receives. In fact, that isnŐt enough information to solve the problem. One must know how many votes it takes to make one half of the total number of votes. Although the numbers are easy to work with, there are enough steps and enough things to keep track of to lift the problem above routine.
This is the fourth in a series of tasks about ratios set …
This is the fourth in a series of tasks about ratios set in the context of a classroom election. What makes this problem interesting is that the number of voters is not given. This information isnŐt necessary, but at first glance some students may believe it is.
As the standards in statistics and probability unfold, students will not yet …
As the standards in statistics and probability unfold, students will not yet know the rules of probability for compound events. Thus, simulation is used to find an approximate answer to these questions. In fact, part b would be a challenge to students who do know the rules of probability, further illustrating the power of simulation to provide relatively easy approximate answers to wide-ranging problems.
Prepared with pre-algebra or algebra 1 classes in mind, this module leads …
Prepared with pre-algebra or algebra 1 classes in mind, this module leads students through the process of graphing data and finding a line of best fit while exploring the characteristics of linear equations in algebraic and graphic formats. Then, these topics are connected to real-world experiences in which people use linear functions. During the module, students use these scientific concepts to solve the following hypothetical challenge: You are a new researcher in a lab, and your boss has just given you your first task to analyze a set of data. It being your first assignment, you ask an undergraduate student working in your lab to help you figure it out. She responds that you must determine what the data represents and then find an equation that models the data. You believe that you will be able to determine what the data represents on your own, but you ask for further help modeling the data. In response, she says she is not completely sure how to do it, but gives a list of equations that may fit the data. This module is built around the legacy cycle, a format that incorporates educational research feindings on how people best learn.
Today we're going to discuss the role of statistics during war. From …
Today we're going to discuss the role of statistics during war. From helping the Allies break Nazi Enigma codes and estimate tank production rates to finding sunken submarines, statistics have and continue to play a critical role on the battlefield.
This task is meant to be a straight-forward assessment task of graph …
This task is meant to be a straight-forward assessment task of graph reading and interpreting skills. This task helps reinforce the idea that when a variable represents time, t=0 is chosen as an arbitrary point in time and positive times are interpreted as times that happen after that.
This problem asks the student to evaluate six numerical expressions that contain …
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. It helps students see the purpose of using parentheses.
This problem asks the student to evaluate three numerical expressions that contain …
This problem asks the student to evaluate three numerical expressions that contain the same integers yet have differing results due to placement of parentheses.
This is a hands-on lab activity about the water cycle, specifically evaporation …
This is a hands-on lab activity about the water cycle, specifically evaporation and condensation. Using materials such as clay, ice and a lamp, learners will observe the relationship between temperature and condensation and temperature and evaporation. They will then draw a diagram or a concept map of the water cycle. Background information, common preconceptions, a glossary and more is included. This activity is part of the Aquarius Hands-on Laboratory Activities.
Students apply their knowledge of scale and geometry to design wearables that …
Students apply their knowledge of scale and geometry to design wearables that would help people in their daily lives, perhaps for medical reasons or convenience. Like engineers, student teams follow the steps of the design process, to research the wearable technology field (watching online videos and conducting online research), brainstorm a need that supports some aspect of human life, imagine their own unique designs, and then sketch prototypes (using Paint®). They compare the drawn prototype size to its intended real-life, manufactured size, determining estimated length and width dimensions, determining the scale factor, and the resulting difference in areas. After considering real-world safety concerns relevant to wearables (news article) and getting preliminary user feedback (peer critique), they adjust their drawn designs for improvement. To conclude, they recap their work in short class presentations.
The principal purpose of the task is to explore a real-world application …
The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout.
Welcome to Crash Course Statistics! In this series we're going to take …
Welcome to Crash Course Statistics! In this series we're going to take a look at the important role statistics play in our everyday lives, because statistics are everywhere! Statistics help us better understand the world and make decisions from what you'll wear tomorrow to government policy. But in the wrong hands, statistics can be used to misinform. So we're going to try to do two things in this series. Help show you the usefulness of statistics, but also help you become a more informed consumer of statistics. From probabilities, paradoxes, and p-values there's a lot to cover in this series, and there will be some math, but we promise only when it's most important. But first, we should talk about what statistics actually are, and what we can do with them. Statistics are tools, but they can't give us all the answers.
This is an activity about the shape of the Earth‰Ûªs orbit. Learners …
This is an activity about the shape of the Earth‰Ûªs orbit. Learners will first use elements of the orbit of Earth and Pluto and an apparatus using string, a pencil, and pushpins to accurately draw an ellipse, showing the nearly circular shape of the orbits of Earth and Pluto. They then measure real images of the Sun in each season, determining the apparent size of the Sun to see if it changes throughout the year. By determining the apparent size of each Sun image and by seeing the shape of Earth's orbit, learners will confront the misconception that seasons are caused by changing distance of the Earth from the Sun. Finally, learners reflect on the results of the Sun-Earth Survey, which is Activity 2 in this set. This is Activity 4 in the Great Explorations in Math and Science (GEMS) guide titled Real Reasons for Seasons: Sun-Earth Connections. The resource guide is available for purchase from the Lawrence Hall of Science. This activity recommends use of an overhead projector.
When a division problem involving whole numbers does not result in a …
When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder or a mixed number.
This resource introduces the concept of wind chill, the formula used to …
This resource introduces the concept of wind chill, the formula used to measure it and relates it to the causes of hypothermia. A simple experiment using a pie pan, sand, fan and a thermometer demonstrates this concept. The resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.
Students are introduced to the nano-size length scale as they make measurements …
Students are introduced to the nano-size length scale as they make measurements and calculate unit conversions. They measure common objects and convert their units to nanometers, giving them a simple reference frame for understanding the very small size of nanometers. Then, they compare provided length data from objects too small to measure, such as a human hair and a flea, giving them a comparative insight to the nanotechnology scale. Using familiar and common objects for comparison helps students understand more complex scientific concepts.
The words compose and decompose are used to describe actions that young …
The words compose and decompose are used to describe actions that young students learn as they acquire knowledge of small numbers by putting them together and taking them apart. This understanding is a bridge between counting and knowing number combinations. It is how instant recognition of small numbers develops and leads naturally to later understanding of fact families. This task helps them develop an understanding of number combinations.
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