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.)
Why do quantitative biologists sometimes claim that mRNA copy numbers are Poisson …
Why do quantitative biologists sometimes claim that mRNA copy numbers are Poisson distributed in simple models of gene transcription? The first video segment addresses this question under the simplifying assumption that mRNA degradation occurs after a well-defined, deterministic lifetime, and the second segment illustrates the same basic concept for the more realistic situation in which degradation is stochastic.
This free, online article, developed for elementary teachers, describes a Kindergarten polar …
This free, online article, developed for elementary teachers, describes a Kindergarten polar science, standards aligned, unit centered on The Polar Express developing literacy, math, and science skills.
In this learning activity, students compare changes in insolation with changes in …
In this learning activity, students compare changes in insolation with changes in surface temperature in the polar regions using scientific visualizations of global data sets. Links to readings related to the shrinking ice cap and albedo are included. This is part 1 of a four-part activity on polar science. Extension activities examining air and sea surface temperature in relation to changing Earth albedo are included. This activity is one of several learning activities connected with the 2007 GLOBE Earth system poster.
An interactive applet and associated web page that demonstrate polygons. The applet …
An interactive applet and associated web page that demonstrate polygons. The applet shows a polygon which is initially an irregular convex pentagon. The user can drag any vertex and a message shows if it becomes concave. The user can also alter the number of sides from 3 to 99, the title changing to reflect it's name up to 12 sides. You can also make it regular, dragging a vertex then changes all vertices to maintain it as regular. The web page has many definitions and links to the various forms and orders of polygon. 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.
An interactive applet and associated web page that demonstrate that the exterior …
An interactive applet and associated web page that demonstrate that the exterior angles of a polygon always add to a constant (360 or 720 depending on your point of view). The applet shows a polygon where the user can drag the vertices to reshape it, alter the number of sides, make it convex or concave, regular or irregular. The applet shows the angle summation in real time, demonstrating that it is always constant. It also demonstrates how exterior angles are accounted for in concave polygons, where the exterior angle seems to be inside the figure. These are taken as negative angles and the sum demonstrably remains the same. 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.
An interactive applet and associated web page that demonstrate that the interior …
An interactive applet and associated web page that demonstrate that the interior angles of a polygon always add to a number related only to the number of sides. The applet shows a polygon where the user can drag the vertices to reshape it, alter the number of sides, make it convex or concave, regular or irregular. The applet shows the angle summation in real time, demonstrating that only the number of sides affects the total. The text on the web page gives the formula for the total of the interior angles. 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.
An interactive applet and associated web page that demonstrate the diagonals of …
An interactive applet and associated web page that demonstrate the diagonals of a polygon. The applet shows a polygon with the diagonals drawn. The user can drag any vertex, make it regular or irregular, and change the number of sides. The applet continually computes and displays the number of diagonals. The text on the web page has the relevant formulae. 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.
In this task students construct and compare linear and exponential functions and …
In this task students construct and compare linear and exponential functions and find where the two functions intersect. One purpose of this task is to demonstrate that exponential functions grow faster than linear functions even if the linear function has a higher initial value and even if we increase the slope of the line. This task could be used as an introduction to this idea.
This is an activity about solar energy. Learners will first use computers …
This is an activity about solar energy. Learners will first use computers to research and learn how solar panels convert sunlight into electricity. Next, they will calculate the surface area of solar panels board a satellite and their total power generated in various positions of the satellite, given the dimension of the panels. After, learners will organize and write a report summarizing the information about the MMS mission satellites. This activity requires student access to internet accessible computers. This is lesson four as part of the MMS Mission Educator's Instructional Guide.
Prealgebra is designed to meet scope and sequence requirements for a one-semester …
Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Preschool is the perfect time to make math fun and relevant for …
Preschool is the perfect time to make math fun and relevant for kids. These engaging worksheets teach ordering skills, matching, counting, and number lines, which are the basis for future math success. Create dynamic, custom preschool activity books based on your students' level and abilities that will help them believe in this equation: Math = Excitement!
This comprehension resource from edHelper offers loads of preschool math lessons, activities, and worksheets in lots of areas: math review booklets, mazes, matching, shapes, ordering, counting, grids, greater than/less than, shapes, book units, number lines, comparing numbers, and skip counting.
The purpose of this task is to help students see that when …
The purpose of this task is to help students see that when you have a context that can be modeled with a ratio and associated unit rate, there is almost always another ratio with its associated unit rate (the only exception is when one of the quantities is zero), and to encourage students to flexibly choose either unit rate depending on the question at hand.
A page that allows you to print rectangular (cartesian) graph paper. You …
A page that allows you to print rectangular (cartesian) graph paper. You ca control if grid lines are printed and the position of the origin. By dargging the origin into any corner a single quadrant can be printed. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
After heuristically deriving Stirling's approximation in the first video segment, we outline …
After heuristically deriving Stirling's approximation in the first video segment, we outline a simple example of the central limit theorem for the case of the binomial distribution. In the final segment, we explain how the central limit theorem is used to suggest that physical experiments are characterized by normally-distributed (Gaussian) fluctuations while fluctuations in biological experiments are said to fill out log-normal distributions.
In the first video segment, we study the distribution, average, and variance …
In the first video segment, we study the distribution, average, and variance for the Bernoulli coin-toss process. The binomial distribution results from stringing together a series of coin tosses. In the second segment, we study the limit of "rare" events, which is described by the Poisson distribution.
Today we’re going to begin our discussion of probability. We’ll talk about …
Today we’re going to begin our discussion of probability. We’ll talk about how the addition (OR) rule, the multiplication (AND) rule, and conditional probabilities help us figure out the likelihood of sequences of events happening - from optimizing your chances of having a great night out with friends to seeing Cole Sprouse at IHop!
Today we're going to introduce bayesian statistics and discuss how this new …
Today we're going to introduce bayesian statistics and discuss how this new approach to statistics has revolutionized the field from artificial intelligence and clinical trials to how your computer filters spam! We'll also discuss the Law of Large Numbers and how we can use simulations to help us better understand the "rules" of our data, even if we don't know the equations that define those rules.
Using the simple example of calculating the probability of reaching a traffic …
Using the simple example of calculating the probability of reaching a traffic light while green, students are shown how to build a mathematical model using a very commonly-taught formula (sum of first n integers) to solve a rather practical problem. This 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.
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