Internet Mathematics Resources:

• Algebra Problem of the Week

This website posts a new problem each week pertaining to Algebra. There are a wide variety of problems over the course of the weeks, and as a teacher I had been thinking about posting a new problem each week on one of my classroom walls. This website will produce those problems for me, and will allow students to see the problem not only in the classroom but if they wanted to see it at home as well. The problems often are application type problems, so this activity would be for this objective in the common core: CCSS.Math.Content.8.EE.C.8c Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.


• Khan Academy

Khan Academy is a collection of educational videos used to help explain any educational topic to anyone that views a video from this website. As a teacher I would use the mathematics videos of any topic to either show my students in a lesson, or to have them view the videos at home as a review, to further explain what was taught in class, or to answer any questions that they might have. This can be used for teaching many different mathematical topics, so it would be applicable to many of the objectives found in the common core. One example of an objective that could be achieved viewing a probability video is: CCSS.Math.Content.HSS-CP.B.6 Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.


• Math Guide

The "Math Guide" has many wide uses across the board for students and teachers to get help with mathematical ideas. It has examples of problems, worksheets, puzzles, problems, quiz study guides, etc. I find the quizmasters link to be especially helpful, as it is oftentimes difficult to quiz yourself in studying for assessments ("mom" doesn't allows understand the math you are getting quizzed on...). When teaching a lesson about the pythagorean theorem, I would have my students use the link dealing with the theorem from quizmasters in hope that they would achieve this objective from the common core: CCSS.Math.Content.8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.


• Rate x Time=Distance Problems Example Video

This website has mathcounts mini-videos, games, projects, etc. all collected in a blog. Specifically, I would use this rate x time=distance problem video to explain this topic to my students. That would change up the monotonous lecture from me, so they can hear the topic from a different point of view. Hopefully this will help more students who learn in different ways to understand the topic. While playing the video, I can walk around and monitor students' behavior, and make notes as to whether or not they are achieving this objective from the common core: CCSS.Math.Content.HSF-LE.A.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).


• Math Playground

This website is a collection of educational math games, definitely geared more toward younger students. I would use this website as a teacher to engage my students with this reward if it was necessary (with students with special needs). This would allow them to independently use the computer as a reward, but still be engaged in mathematics at the same time. There is a link to exciting word problems on the website, so I would use this link when wanting my students to achieve this objective from the common core: CCSS.Math.Content.8.EE.C.8c Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.


• Mathematics Videos

The you tube website includes a comical cartoon video about the history of math and other math videos about roman numerals, statistics values, etc. As a teacher I would show a youtube clip to peak my students' interest, and make math more meaningful, fun, and interesting to them. If I was to use the video dealing with the number line, I would cater my lesson to this objective found in the common core:CCSS.Math.Content.8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.


• The World of Math Online

This website is geared toward teachers, and has lesson plans, classroom resources, study tips to give to students, practice worksheets, etc. etc. Because there are not 100 hours in a day to plan, as a first year teacher not having taught before, I will need some help from outside sources. I will use websites like these to get ideas from, to pull sections from lesson plans and example homework problems from. After using them, I can figure out how/if they worked, and modify and change them to fit my students’ needs in my classroom each year. Eventually I will have a large pool to choose from of ideas I have gathered and come up with on my own, and won’t need 100 hours each day to plan. One example of a lesson I might use from this website is the lesson titled: Tangrams, and help my students to understand this objective from the common core: CCSS.Math.Content.HSG-GMD.B.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.


• Resource for General Math, Algebra, Calculus, Probability, Statistics, Trigonometry, Geometry

Columbia Northern's website is a general website that can be used by students for help in subjects such as general math, algebra, probability, statistics, trigonometry, etc. During class time, if not all questions were able to be answered, students can reference this website to answer their questions. Specifically, the trigonometry links can help students to achieve this objective from the common core: CCSS.Math.Content.HSG-SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.


• Mathematics Bloggers!!!

This site is a collection of blogs about anything and everything to do with math. It allows you to click on any square and takes you to a different person’s blog with various math on it. There are visuals, real-world applications, activities, practice questions, worksheets, math games, etc. etc. As a teacher this website would be helpful especially when coming up with real-life problems for my students. There are various squares where bloggers have applied mathematics in their own lives, and hearing these stories might help math be more meaningful to my students and apply it in their own lives. A lesson using this website might be geared toward this objective from the common core: CCSS.Math.Content.HSG-MG.A.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).


• Teaching Math to Students with Disabilities

This article discusses strategies for teaching mathematics to students with disabilities. As a teacher I would keep this as a reference for teaching students with exceptionalities, rereading it to keep in mind how to rethink and use authentic and meaningful mathematics to teach all of my students and not just those with disabilities. I would make sure that my lesson pertaining to any objective in the common core would be adapted to any student with any amount of ability in mathematics. One example of a lesson might be one that uses tangible objects and that follows this objective from the common core: CCSS.Math.Content.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.


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