Love math but bored in math class? This is the course for you! Combinatorics is a fascinating branch of mathematics that applies to problems ranging from card games to quantum physics to the internet. The only pre-requisite is basic algebra; however we will be covering a lot of material. A mathematically agile mind will be helpful.
This is an open-source educational resource found online. Citation as follows:
Andrew Sutherland, Combinatorics - The Fine Art of Counting, Summer 2007. (Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu/OcwWeb/hs/com/com/index.htm (Accessed 2 October 2008). License: Creative Commons BY-NC-SA
This animated PowerPoint file is intended to demonstrate the basics of how to solve simple one step Algebra equations that involve only addition or subtraction. It has one slide to show problem with ability to think to add or subtract to get variable by itself, then a check slide to see if answer is correct. The teacher may wish to "click through" the presentation while explaining the process step by step. May be used on individual laptops or promethean board.
In this pre-algebra unit of rational numbers, students will further their understanding of rational numbers and its application to everyday experiences. Pre-algebra is the stepping stone to high school mathematics. Therefore, it is imperative for students to recognize and demonstrate that there are appropriate situations in which rational numbers should be used and their usefulness to us. In the culminating performance task, students are asked to develop and present a plan for the BBQ that they will be hosting for a specified number of people. The BBQ scenario allows students to apply their knowledge of rational numbers in order to do comparison shopping at 3 different grocery stores. The unit concludes with why students shopped the way that they did and a self-evaluation of what they have learned. Repository Citation Risinger, Catherine, "What Are Rational Numbers?" (2005). Understanding by Design: Complete Collection. Paper 5. http://digitalcommons.trinity.edu/educ_understandings/5 Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
041 - Newton's Third Law
In this video Paul Andersen explains how Newton's Third Law applies to all objects. When an object applies a force to another object (Action) and equal and opposite force (Reaction) is applied to the original object. Several scenarios are described to show these action-reaction pairs. Free-body diagrams are used to describe all of the external forces from these interactions.
Kakooma starts with a deceptively simple idea: in a group of numbers, find the number that is the sum of two others. Sounds easy, right? Sometimes it is, but other times the answer is right in front of you and you just can’t see it. To solve a single puzzle, you often end up doing dozens of calculations in your head, sometimes more than a hundred! Before you know it, your mind is sharper and your math skills are better. Kakooma makes you smarter.
This curriculum is designed to meet the Response to Intervention framework for Tier II which addresses targeting skill deficits with research / evidence based strategies and tested teacher-designed activities. Understanding by Design is incorporated in the form of Big Ideas and Understandings. The curriculum includes: Pre-requisite skills, Common conceptual misunderstandings / struggles, Intervention Strategies / formative assessment, Grade level concerns, and classroom connections / learning activities. It is not meant to be taught in any specific sequence, but rather should be aligned to grade level curriculum and address needs of students as they are uncovered.