Algebra
Definition. A quadratic function is a function of the form $f(x)=ax^2+bx+c$.
Discuss: What does the graph of a quadratic function look like? Major features and how to find them. … Read More
Category: Lessons (Page 2 of 2)
Circles arise naturally in geometry (they are an immediate consequence of the notion of distance), and we use them extensively in geometric constructions (after all, a compass is essentially a … Read More
As we saw last time, software can easily replicate the capabilities of the ruler and compass – but can also be used to apply those techniques without the same kind … Read More
Math.stackexchange.com is a question-and-answer website that focusses on substantive discussion of mathematical questions, with participants ranging from students to teachers to professional mathematicians. The question What is the (mathematical) point … Read More
What does it mean for two line segments OR triangles OR other subsets of the plane to be “the same shape”?
The concept of “shape”, the concept of “similarity”
… Read MorePlane geometry
Our geometric intuition is grounded in our experience of the real world. For many basic concepts in geometry, that intuition is a great (indeed, fantastic) tool! However, it … Read More
Question: What are the different types of numbers?
Our goal today is to answer the question “What is a number?” More specifically, “number” in this case refers to “real number”, … Read More
The axioms used by mathematicians to define the real numbers are just a way to make precise some intuitions that we and our students have developed from an early age. … Read More
