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Number Trail Grade 3 / Week 07 / Wednesday
3/6
Week 07 · Fractions are numbers

Wednesday

Fractions on a number line
// Unit fractions, a/b and the number line
⏱ about 15 min

Wednesday: Fractions on a number line

Riley draws a long line in the dirt from his den to a tree.

"Home is 0 and the tree is 1," he says.

"I will leave a puzzle piece at each fourth of the way."

Bennie walks beside him and marks equal steps.

"One fourth, two fourths, three fourths, and then the tree."

Riley laughs. "Fractions are places on a path!"

Learn it: equal jumps from 0

Cut the space from 0 to 1 into 4 equal parts.

Each part is 1/4 long.

One jump of 1/4 from 0 lands on 1/4.

Three jumps of 1/4 from 0 land on 3/4.

A number line from 0 to 1 in fourths
A number line from 0 to 1 in fourths, with a dot at 3/4

The dot is 3 jumps of 1/4 from 0. It shows 3/4.

WHAT FRACTION DOES THE DOT SHOW?
  • Read the question.
  • Tap your answer.
A number line from 0 to 1 in fourths, with a dot at 1/4What fraction does the dot show?
A number line from 0 to 1 in fourths, with a dot at 3/4What fraction does the dot show?
A number line from 0 to 1 in thirds, with a dot at 2/3What fraction does the dot show?
A number line from 0 to 1 in sixths, with a dot at 5/6What fraction does the dot show?
A number line from 0 to 1 in eighths, with a dot at 3/8What fraction does the dot show?
PARTS ON THE LINE
  • Read the question.
  • Tap your answer.
A number line from 0 to 1 in sixthsA line from 0 to 1 is cut into 6 equal parts. How long is each part?
A number line from 0 to 1 in eighths, with a dot at 5/8How many jumps of 1/8 from 0 reach 5/8?
A number line from 0 to 1 in thirdsHow many equal parts are between 0 and 1 on this line?
A number line from 0 to 1 in halvesWhich fraction is the first tick after 0?

Past 1

A number line can keep going past 1.

Each whole still has the same number of equal parts.

Five jumps of 1/4 from 0 land past 1, on 5/4.

A number line from 0 to 2 in fourths, with a dot at 5/4
FRACTIONS PAST 1
  • Read the question.
  • Tap your answer.
A number line from 0 to 2 in fourths, with a dot at 5/4What fraction does the dot show?
A number line from 0 to 2 in halves, with a dot at 3/2What fraction does the dot show?
A number line from 0 to 2 in thirds, with a dot at 4/3What fraction does the dot show?
SentenceTrue or false?
On a line in fourths, 3/4 is 3 jumps of 1/4 from 0.?
The parts on a fraction number line can be different sizes.?
1/2 is halfway between 0 and 1.?
5/4 is between 0 and 1.?
WHY THIS EXERCISE5/4 is 5 jumps of 1/4, so it is past 1.
Try it
Lay a long piece of string or tape on the floor.
Mark one end 0 and the other end 1.
Fold the string to find halves, then fourths.
Put a spoon on 3/4.
Draw a number line from 0 to 1 in thirds. Label 1/3 and 2/3.

Super path making! Tomorrow Chris tells a story about Riley.

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