Understanding place value is important because it helps you understand the magnitude of numbers. Because of place value we know 30 is 10 times bigger than 3 which is a hundred times bigger than 0.03. This would not have been possible with Roman Numerals as they do not have a decimal point, or zero for that matter. Egyptian numerals evolved to include unit fractions but with their complex hieroglyphs place value was still in its infancy.
In secondary school mathematics the place value table underpins so many fundamental mathematical concepts. For students to begin to appreciate the size of a number or how to write numbers in words they need to have a secure understanding of its application.
At the start of every school year I like to go back to using the place value table with Year 7 and Year 8 students.
With Year 7s we use it to:
With Year 8s we use it to:
When learning how to simplify surds students need to understand the difference between a rational and irrational number. Rational numbers include integers and terminating and repeating decimals. They can be written as a fraction with both the numerator and denominator as integers. An irrational number is a number which, in its decimal form does not […]
There are three common methods for sharing an amount to a given ratio. Depending on the age group and ability range I am teaching I would choose one approach over the other two. The three methods are: Using fractions Unitary method Using a table In this blog I will demonstrate each of the three methods […]
To introduce plotting scatter graphs and understanding correlation I ask students to think about the relationships between different variables and to describe how they might be related. Here’s my starter activity which students discuss in pairs then present to me on mini-whiteboards. When the students have had time to discuss the matching pairs we talk […]