Students who are beginning to understand decimals need the same kind of visual scaffolding that 5- and 6-year-olds need to understand whole numbers. For both decimals and whole numbers, number lines help students accurately perceive scale or magnitude.
These pages have number lines big enough to allow students to see and write individual numbers – not just estimate a number’s location between two other numbers. Students count by tenths and hundredths, and can count the ticks on the number lines to find the exact location of, say, “Two and 8 hundredths.”
There are several activities, all of which correlate fractions and decimals on number lines. The correlations are made by folding the number lines, multiplying fractions to find equivalent decimals, and dividing fractions to find decimals.
Files are included which have precisely-sized number lines on legal and 17-inch paper, the size of which allows students to distinguish between numbers and write numbers distinctly. These are printed 4 to a page, so teachers can easily copy off a class set.
Two pages are included which have number lines exactly 31 centimeters long (on legal paper), and 42 centimeters long (on 17-inch paper). These allow you to place Base 10 Blocks on the number line as an additional model. In general, using actual centimeter rulers and/or meter sticks reinforces the connections between the decimal, Base-10 number system and the metric measuring system.
Thorough notes and illustrations are included.
Common Core Standards:
4.NF.5: “Express a fraction with denominator 10 as an equivalent fraction with denominator 100…”
4.NF.6: “Use decimal notation for fractions with denominators 10 or 100…”
4.NF.7: “Compare two decimals to hundredths by reasoning about their size…by using a visual model…”
5.NBT.4: “Use place value understanding to round decimals to any place.”
Level: Grades 4 and 5
Duration: 26 pages, many problems, 5-8 days
Answer Key: Yes, with illustrations
A Smartboard 10 file is also included. Click on the .zip file icon, and you can open the PDF, Word, and Smartboard files separately.