Mathematics in the Modern World

01

Patterns, Fibonacci and the golden ratio

Read number patterns, extend sequences, and see the Fibonacci numbers and the golden ratio at work in nature and design.

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02

Mathematical language and symbols

Tell expressions from sentences, translate words into symbols, and read relations and functions.

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03

Sets and Venn diagrams

Work with set notation and operations, and use Venn diagrams to count overlapping groups.

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04

Logic and reasoning

Build truth tables, write converses and negations, and tell valid arguments from fallacies.

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05

Problem solving

Use Pólya’s four steps and common strategies to solve word problems.

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06

Statistics and probability

Summarize data, read the normal curve, choose a sampling method and compute simple probabilities.

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07

Geometry, symmetry and fractals

Recognize symmetry, tessellations and transformations, and follow how fractals grow step by step.

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08

Mathematics of finance

Compute simple and compound interest, annuities and loan payments, and compare ways to save and invest.

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09

Graphs, routing and linear programming

Use graphs to model networks, find efficient routes, and optimize with linear programming.

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10

Voting, apportionment and fair division

Compare ways of counting votes, allot seats fairly, and divide goods among people.

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11

Binary, algorithms, cryptography and data science

Read binary and hexadecimal, follow an algorithm, encode and decode messages, and see how data science learns from data.

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