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:
Students should be able to represent the solutions to an inequality on a number line, using set notation or as a list of integer values. Here’s how I teach using the balance method for solving inequalities using a number line. Matching inequalities, Number sets and Number Lines At the start of the lesson students recap […]
In this blog I will share some practical tips for using mini-whiteboards in a mathematics lesson. I use mini-whiteboards nearly every lesson because they help the students show me the progress they are making. When I understand what the misconceptions are I am able to address them in subsequent examples as part of my feedback. […]
Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]