Order numbers in the range 0–100.
Order the numbers in the range 0–1000.
Order whole numbers in the range 0–1 000 000.
Identify symbols for any fraction, including tenths, hundredths, thousandths, and those greater than 1.
Find equivalent fractions and order fractions.
Know benchmarks for converting between common fractions, decimals and percentages.
Identify and order decimals to three places.
Order fractions, decimals and percentages.
Number Framework Stages 4-8.
Bead strings with 100 beads in groups of five
Show the students a bead string. Use bag tags to label the beginning and end of the string as 0 and 100. Ask the students to use grouping strategies to locate the multiples of 10, beginning with 50 (half way), 10, and 90. Tag these numbers on the string.
Now record other numbers in the range 0–100 on tags, and ask the students to find efficient ways to locate the numbers. Encourage grouping strategies. For example, 75 is found by identifying the position half way between 50 and 100.
As an independent activity, give the students bead strings and a set of tags with numbers already on them. The students place each tag in its correct position on the string. Partners check each others’ strings.
Repeat with several bead strings joined together to form a line extending into other multiples of 100. For example, five bead strings allow numbers from 0 to 500.
Activity
To extend this idea to fractions, and decimals, use tags to label the ends of the string as zero and one. Give the students tags with fractions to place on the string. Be sure that the denominators of the fractions are factors of 100. For example: 1/2, 1/4, 3/4, 1/5, 3/5, 9/10, 1/10 ...
Join several bead strings together to create fraction lines that extend over one. For example, five bead strings allow fractional numbers from zero to five. Label the whole numbers with tags and ask the students to locate fractions like 9/4, 13/10, 24/5, ...
Extension Activity
Extend to fractions and decimals simultaneously. For example, on a 0 to 3 line (three bead strings joined), tag the whole numbers 0, 1, 2, 3. Ask the students to locate these numbers:
1.5, 4/5, 2.25, 19/10, 0.99, 11/4, ...