Parametric equations are powerful tools to model projectile motions and to graph things that are not functions like circle or ellipses. The x and y coordinates are defined as two separate functions with a common independent variable often labelled “t”.
New Marlboro, MA, Nov 2, 2017, Session #11 10:45 – 11:45 Sudbury Grades 6 – 12 Peter Mili & Art Bardige Problem Solving in the Digital Age Known as Word problems, Story Problems, or Application Problems, making sense of and solving these problems is challenge for many students and teachers. We bring you a unique, …
November 17-19, 2017, Barnard College, NY. Scientific Reasoning and QR in the Digital Age Introducing our new Tour of mathematics and problem solving in the digital age.
What if you made a series of unit fractions with the odd numbers as their denominator, added the first two together, subtracted the next one, added the next one and so on. And finally multiplied that number by 4? What number would you get?
Are Your Students Ready Are you and your students ready to learn mathematics and problem solving in a digital way? You will be introduced to functional thinking, our problem solving strategy across the grade level. Agenda — Google Sheets Agenda — Excel Workshop-Agenda-ATMNE-12.7.18
The symmetry of the multiplication table around the square numbers diagonal we call commutativity or the commutative property. It means that in a 12 by 12 multiplication table we need only learn 72 or so facts and not 144. It also means that the square numbers are not the only important diagonal patterns in the …
The distributive property turns out to be central to a surprising variety of important mathematics. One of the most valuable is to use it to break products into two pieces to make them easier to compute. Thus 56+510 is easier to solve in your head than 5*16. Here again we take what is generally considered …
Using the times table, students can see that products are always rectangles, and that they represent the area of that rectangle. They should explore the times table by playing with these rectangles whose sides are the factor of the products.
The square numbers form an interesting pattern on the times (multiplication) table. They run along a diagonal from 1 to the top right of the table separating the table into two halves. This is the first step in looking at patterns in the multiplication table. Students build a new square number table by using a …
Fractals are a new 21st century mathematics. They are patterns that repeat themselves at various scales. This one is based on the odd numbers in Pascal’s triangle. We learn to create it easily by using Conditional Formatting which enables us to color cells or text based on a quantitative relationship. To turn Pascal’s triangle into …
