Sample work Mathematics K–10 Stage 2: Ordering fractions and decimals

Description of activity

Students order fractions, decimals and percentages on a number line and record their reasoning.

1. Students are presented with a set of fractions, decimals and percentages:
   75/100, 0.05, 50/100, 0.45, 20%, 90%, 65%, 1/4, 0.8.
2. They order and place the numbers on an empty number line and record their reasoning for the order.
3. Students select two of the numbers and list numbers between the two.

The suggested time allocation for this activity is 30 minutes.

Context

Students have had experience ordering numbers less than one. They have had experience with fractions and decimals to two places and have modelled, compared and represented the relationship between tenths and hundredths.

Outcomes

MA2-1WM uses appropriate terminology to describe, and symbols to represent, mathematical ideas

MA2-2WM selects and uses appropriate mental or written strategies, or technology, to solve problems

MA2-3WM checks the accuracy of a statement and explains the reasoning used

MA2-7NA represents, models and compares commonly used fractions and decimals

Criteria for assessing learning

(These criteria would normally be communicated to students with the activity.)

Students will be assessed on their ability to:

• order given fractions, decimals and percentages on a number line
• explain their reasoning in a given mathematical situation