· 2 min read · Ages 8–10 · Grade 3–4
What a fraction number line teaches that a pizza can't
Fractions arrived as pizzas and went fine until the test asked where 3/4 goes on a line from 0 to 1. The pizza does not tell you that.
Third grade fractions arrived in our house as pizzas and went fine until the test asked where 3/4 goes on a line from 0 to 1. The pizza model does not tell you that. A fraction is also a position, a distance from zero, and the number line is where that idea lives.
What the sheet looks like
The fractions on a number line generator prints six kinds of page: label a line cut into equal parts, plot a given fraction, write the fraction a dot shows, equivalent fractions on two stacked number lines with a dotted guide, equivalent fraction bars (fraction strips, always six), or compare two fractions on their own lines with <, > or =. Denominators go from halves to fourths up to twelfths, the line runs 0–1 or 0–2, and there are 4, 6 or 8 problems per page with an answer key.
The 0–2 range is the one to watch for. It is where a child first meets 5/4 and has to decide whether that is allowed.
Why it works
- A number line puts 1/2 and 2/4 on the same tick. That is equivalence as something you can see rather than something you were told.
- Labeling the tick marks yourself, rather than reading pre-labeled ones, is where the idea of equal parts gets tested.
- Comparing fractions on two lines of the same length kills the common mistake that 1/8 is bigger than 1/4 because 8 is bigger than 4.
Who it suits
Grades 3 and 4, ages eight to ten. If the child has not yet shaded fractions of a shape, start with the fractions worksheet and come back. Halves to fourths on a 0–1 line is the entry point; up to twelfths on a 0–2 line with compare is a solid fourth-grade page. The fraction strip page suits a child who needs to see two 1/6 bars equal one 1/3 bar before trusting the line.
Print the answer key. Checking a plotted dot by eye is harder than it sounds.