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 task focuses on the fact that linear functions are characterized by constant differences over equal intervals. It could be used alongside to F-LE Equal Differences over Equal Intervals I & II.
Students will learn a sample-variance curve fitting method that can be used to determine whether a set of experimental data appears to have been generated by a model. This method is based on minimizing the reduced chi-squared value. This video includes a reminder to inspect normalized residuals before reporting fitted parameters.
The quadrature formula relates the fluctuations of a function to fluctuations in the variables on which the function depends. In this derivation, we approximate a multivariable function using a Taylor expansion, and we assume that fluctuations in the underlying variables are statistically independent, which allows us to apply an identity previously derived in the unit on statistics. Namely, "variances of sums are sums of variances" for variables that fluctuate independently.
In the first video segment, we estimate properties of a parent distribution (i.e. mean and standard deviation) from a sample of a finite collection of data measurements, and we describe the standard error (SE). In the second segment, we derive the famous square-root of n factor that appears in the SE formula. The third video segment describes the visual comparison of error bars, and the fourth segment warns against a mistake that can generate inappropriate claims of statistical significance during this kind of analysis.
A web page and interactive applet illustrating the properties of an undecagon (11 sided polygon). The applet shows an undecagon where the user can drag any vertex to reshape it. User can see that the interior and exterior angles are constant in a regular undecagon, but vary in an irregular version. Controls allow the display or hiding of the diagonals, and triangles within the undecagon. The web page lists the properties of the undecagon including interior angles, exterior angles, sum of exterior angles, area, number of diagonals and number of internal triangles. Links to pages with generalized properties of all polygons. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
This is a set of three, one-page problems about the sizes of moons in the solar system. Learners will use decimals to compare the sizes and distances of Saturn's moons to the center of Saturn. Options are presented so that students may learn about the Cassini mission through a NASA press release or by viewing a NASA eClips video [4 min.] about these and other moons in our solar system. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school.
In this activity, students analyze the results of an experiment, conduct research, and describe the potential importance of positive and negative feedbacks in governing the response of the Earth system. Teacher background information, assessment suggestions, and a scoring rubric are included.This is Activity 5 of the learning module, Global Balance, part of the lesson series, The Potential Consequences of Climate Variability and Change. Completing A Sense of Balance: Activity 1 in this module is a prerequisite to complete this investigation.
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
This is a lesson plan for an activity that explores time zone math. Learners will translate their local time to times in other zones around the world and work with the concept of Universal Time, specifically in reference to the reporting, description and analysis of solar flares and coronal mass ejections. This is activity 10 from Exploring Magnetism Guide 3: Magnetic Mysteries of the Aurora educator guide.
This short video and interactive assessment activity is designed to teach third graders about given the perimeter, find the side length and area - squares.
Today we're going to discuss how machine learning can be used to group and label information even if those labels don't exist. We'll explore two types of clustering used in Unsupervised Machine Learning: k-means and Hierarchical clustering, and show how they can be used in many ways - from book suggestions and medical interventions, to giving people better deals on pizza!
This task presents a context that leads students toward discovery of the formula for calculating the volume of a sphere. Students who are given this task must be familiar with the formula for the volume of a cylinder, the formula for the volume of a cone, and CavalieriŐs principle.
This short video and interactive assessment activity is designed to teach fourth graders about using the four operations with money - word problems.
This short video and interactive assessment activity is designed to teach third graders about understanding division with remainders and illustrations.
This short video and interactive assessment activity is designed to teach fourth graders about place value problems involving money.
This short video and interactive assessment activity is designed to teach second graders about using timelines to 1-minute increments.
This short video and interactive assessment activity is designed to teach fourth graders about adding and subtracting - missing number.
The goal of this task is to provide examples for comparing two fractions by finding a benchmark fraction which lies in between the two.
This task deals with a student error that may occur while students are completing F-IF Average Cost.
The purpose of the task is to explicitly identify a common error made by many students, when they make use of the "identity" f(x+h)=f(x)+f(h). A function f cannot in general be distributed over a sum of inputs.