These pages begin with a concise demonstration of fraction equality with Fraction Towers. Students then proceed to identify fractions on a number line, sized to fit Fraction Towers, and then identify equal fractions on the number line.
We then move to the mathematical procedure for generating equal fractions. Students describe the process using their pairs of equal fractions made with Fraction Towers. They work out the logic by folding a paper number line, and then refold it to create equal fractions. Formulating the rule is then just a matter of describing what they’ve already done.
Finally, students use the inverse operation – division – to write more equal fractions.
The Smartboard 14 file has images of Fraction Towers which are cloned so you can model everything you want the students to do.
Letter and legal sized templates are also included so that students can quickly and easily fold a number line into thirds.
Common Core Standards:
3.NF.2.a, b: “Understand a fraction as a number on the number line; represent fractions on a number line diagram…”
3.NF.3.a: “Understand two fractions as equivalent (equql) if they are the same size, or the same point on a number line.
3.NF.3.b: “Recognize and generate simple equivalent fractions, e.g.,
by using a visual fraction model”
4.NF.1: “Explain why a fraction a/b is equivalent to a fraction (n × a) / (n × b) by using visual fraction models…”
Subjects: Math, Fractions, Arithmetic
Level: Grades 3 - 4
Duration: 20 pages of student work, 2-4 days
Answer Key: Included
A Smartboard 14 file is also included. Click on the .zip file icon, and you can open the PDF and Smartboard files separately.