1. Number: Understanding Decimals and Place Value

Objective: Recognise and extend the place value system to include tenths and hundredths, and represent decimals using notation.

Key Concepts:

– Recognising decimal numbers (4-O.1)
– Understanding decimals expressed in words (4-O.3)
– Identifying place values in decimal numbers (4-O.4)
– Adding or subtracting one-tenth or one-hundredth (4-O.5)
– Graphing decimals on number lines (4-O.7, 4-O.8)

Examples:

• Decimal Representation: ‘What decimal number is represented by the base-10 blocks?’ (Answer: 0.37)
• Word Problem: ‘Write the decimal for “three tenths and four hundredths”.’ (Answer: 0.34)
• Number Line: ‘Place 0.6, 0.75, and 0.25 on the number line.’
• Place Value: ‘What is the value of the 5 in 0.54?’ (Answer: 5 tenths)