Mach Number Problem Set

How many ways can you make 10? Class members tackle three problems to find all possible ways three numbers add to be 10. The first is with positive integers, secondly with non-negative integers, and finally with real numbers. Pupils also...

There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...

Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...

This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is...

Although graphing a linear inequality on the plane is but a few steps added onto the graphing of a linear equation, for many learners the logical leap is quite intimidating. This approachable PowerPoint presentation breaks graphing...

Avogadro did not find or create Avogadro's number—it was just named after him out of respect for his work. The Socratica chemistry playlist presents a must-see video introduction to the mole. It details how to convert to moles from mass,...

Sal adds a few more steps to these problems as he solves algebraic equations with two steps, though he states that "there's more than one way to do it." Those who become confused by increasingly complicated algebra problems on a test...

In this video, Sal solves a word problem sent in by a listener with two cyclists riding towards each other over a given time. It is an interesting problem regarding ratios and the relationship between distance, rate, and time. He shows...

So do you really want to know how to find a rational number between two given fractions? The teacher explains how to average the two fractions to find a rational number between the two fractions. There are several steps involved in...

One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....