### Variables

- This is one of those math puzzles that come up in contests but which turn out to be quite interesting…Read more
- Another famous pattern, Pascal’s triangle, is easy to construct and explore on spreadsheets. Create a formula for any cell that…Read more
- I built a Lab for you to play with the Syracuse Problem and to learn to use spreadsheets to play…Read more
- This problem is typical of the earliest algebra problems that likely came out of India. It is interesting historically, and…Read more
- Let's do a little target practice with this spreadsheet projectile simulator, which will map out the flight path of an…Read more
- What is "x"? Or how do we represent variables and functions on spreadsheets? Open in Excel Open in Google SheetsRead more
- Parametric equations are powerful tools to model projectile motions and to graph things that are not functions like circle or…Read more
- The GDP or Gross Domestic Product of a country is one measure of its wealth. What can this data tell…Read more

### Equations

- Typical algebra courses start with equations and solving equations and then move to graphing and functions. We start with functions…Read more
- Solving systems of equations sometimes called simultaneous equations with graphs is simply a matter of finding out where they intersect.…Read more
- This problem is typical of the earliest algebra problems that likely came out of India. It is interesting historically, and…Read more
- Fibonacci, the nickname given the great medieval mathematician Leonardo of Pisa, is connected in most of our minds with the…Read more
- This Lab introduces a method for solving or estimating the solution to an equation digitally that can be applied to…Read more
- Parametric equations are powerful tools to model projectile motions and to graph things that are not functions like circle or…Read more

### Introduction to Functions

- Another famous pattern, Pascal’s triangle, is easy to construct and explore on spreadsheets. Create a formula for any cell that…Read more
- Most museums with math exhibits have a Pascal’s triangle made up of pegs with balls falling down between them and…Read more
- Spreadsheets offer us a nearly unlimited ability to develop and learn from case studies using real world data. We will…Read more
- We look at world population over the past 60+ years and ask whether the earth’s population is growing faster or…Read more
- Linear functions are the most important family of functions. They pervade our everyday lives and our work. Their graph is…Read more
- We take that great old problem of the inventor of chess and the ruler of India and use it to…Read more
- Manage a business. The Lemonade Stand has been a business simulation developed in many different versions. We believe this is the…Read more
- Spreadsheets are great for creating secret codes and for breaking them. During World War II the German military used a…Read more
- 1, 3, 6, 10... are called the triangular numbers because they can be stacked up to form a triangle. They…Read more
- Picturing exponential growth, powers of 10, can be hard for any of us to imagine. The spreadsheet has the flexibility…Read more
- When Napoleon conquered Egypt in 1798 he went to the Great Pyramid of Giza. While his men climbed to its…Read more
- Parametric equations are powerful tools to model projectile motions and to graph things that are not functions like circle or…Read more
- The GDP or Gross Domestic Product of a country is one measure of its wealth. What can this data tell…Read more

### Functions

- Linear functions are the most important family of functions. They pervade our everyday lives and our work. Their graph is…Read more
- What does each of the coefficients do? How does it change the graph of the parabola. What does a do,…Read more
- Adding an exponent, sometimes referred to as a 'power', to the input variable of a linear function that passes through…Read more
- Polynomial functions are not limited to the highest term and while that term is most important in determining the shape…Read more
- Spreadsheets are not limited to algebraic functions, they can also display trigonometric functions. We are modeling the sine function, but…Read more
- The rule of 72 is an old banker’s rule of thumb to find out how long it will take to…Read more
- Spreadsheets make it very easy to switch axes and add graphs. They enable students to play with what may have…Read more
- One of the most powerful aspects of the mathematics of functions is our ability to treat them as abstract quantities…Read more
- How much are your credit cards costing you? If you are like most of us, they are very expensive because…Read more
- In 1941, Joe DiMaggio got a hit in 56 straight games. This record has never been beaten. Some say it…Read more
- Create, manipulate, and explore triangles in this live interactive spreadsheet. On the surface, a triangle is being drawn on a…Read more
- Which form of interest, simple or compound, is the fairest? If you were buying a house or a car which…Read more
- Let's do a little target practice with this spreadsheet projectile simulator, which will map out the flight path of an…Read more
- Though spreadsheets lets you put geometric shapes on the screen, those shapes are not connected with the cells and cannot…Read more
- It was one of the most amazing visions of the future ever made. In 1965 Gordon Moore, one of the…Read more
- The absolute value (ABS) function is the positive value of a number or quantity. Its graph has a very peculiar…Read more
- What would you guess the absolute value of a polynomial function would look like? Try some here. I think you…Read more
- Graphs as we know them were first invented by Galileo. They are powerful images of functions. I will introduce you…Read more
- What does a linear function look like when we interchange the inputs and outputs, that is make the x-axis the…Read more
- We often see Lissajous figures in old sci-fi movies because they are so cool. As you play with them I…Read more
- When Napoleon conquered Egypt in 1798 he went to the Great Pyramid of Giza. While his men climbed to its…Read more
- This Lab introduces a method for solving or estimating the solution to an equation digitally that can be applied to…Read more
- The variables in most of the functions we are used to working with vary directly, as one goes up the…Read more