First, students will learn how to convert decimal numbers, that are powers of ten, between scientific notation and standard form. As examples, \(0.001 = 10^{-2}\) and \(10,000 = 10^4.\) Here's a good video. Then students will learn how to convert arbitrary decimal numbers between scientific notation and standard form. For example, \(5.7 \cdot 10^4 = 57{,}000.\)
In the UK, they call scientific notation standard form (source).
Next, give your students these challenges:
- Rod Measures by NRICH
- The Pied Piper of Hamelin by NRICH
Conclude by leading this investigation:
Siteswap (juggling number patterns)
by MathPickle