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Activity: Bunt Chapter 1, Part 1

The method of false position

In this activity we will seek to understand the method of false position. 

Babylonian numbers

In this activity we explore the number system of the ancient Babylonians.

Babylonian Problem Solving

We look at some problems the Ancient Babylonians solved.

Measuring

We begin to explore Ancient Greek thinking about geometry.

Rational numbers and similarity

In this activity we play a game of “what if” and see a reason that the ancient Greeks might have wanted every number to be rational.

Pythagorean means

In this activity we explore the three different means of the ancient Greeks.

Computing quadratures

In this activity we will compute some basic quadratures.

It’s All Greek To Me!

We investigate solutions to the Problems of Antiquity.

Euclid’s Elements

We prove some propositions from Euclid’s Elements.

The Pythagorean Theorem

In this activity we will prove the most famous theorem of all.

The unique factorization theorem

In this activity we investigate unique factorization theorems.

Estimating Pi

Heron’s formula

In this activity we will give two proofs of Heron’s formula.

Solving equations

In this activity we will solve second and third degree equations.

The binomial theorem and π

In this activity we investigate a generalization of the binomial theorem and its connection to an approximation of .

Leibniz and series

In this activity we investigate some of the series that Leibniz investigated.

Bernoulli, Euler, and series

Here we see some topics that both Bernoulli and Euler were interested in.

Euler and Fermat

The Fundamental Theorem of Algebra

We investigate Gauss’ first proof of the Fundamental Theorem of Algebra.

Cantor Can!

In this activity we look at Cantor’s diagonal argument.

Who’s Who

Twentieth Century Mathematicians

Limits of axioms

In this activity, we discuss how statements can be independent of axioms.

You can download a Certificate as a record of your successes.