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Week 04 · Dividing Fractions

Wednesday

Numbers Lab: Strips and scoops
// How many pieces fit, and how much is in each
⏱ about 20 min

Wednesday: Numbers Lab: Strips and Scoops

Rocket lines up a measuring jug, a 1/4 cup scoop and a tray on the Numbers Desk. "Lab day," he says.

"Predictions first," says Raven. "How many 1/4 scoops fill 2 cups?"

"Eight," Rocket says. "Two wholes, four fourths each." He grabs the scoop and splashes water across the tray.

Nova dims her light. "Slow pours," she says. "A wet floor is not part of the data."

Rocket wipes the tray and starts again. Scoop, pour, count. Scoop, pour, count.

"Eight," Raven says, reading the jug. "What do you notice about your prediction and your count?"

"They match," Rocket grins. "2 ÷ 1/4 = 8, on paper and in the jug."

Your mission

Today you divide with real things: paper strips and scoops of water. Predict first, then count, then write the division sentence.

Every count becomes a row in your Numbers Notebook. The crew's own counts are in the table below.

  • Three paper strips the same length. Any paper works; fold and tear, no scissors needed.
  • A measuring jug or a clear 2 cup container, plus 1/4 cup and 1/3 cup measuring cups.
  • Water, a tray or the kitchen sink, and a towel.
  • Your Numbers Notebook and a pencil.
Safety first
Pour over a tray or the sink. Wipe any spill right away so no one slips.
Water only. Nothing from the lab is tasted.
Keep small paper pieces away from children under three and pets.
  1. Fold one strip in half, then in half again, to make fourths. Unfold it and count the fourths.
  2. Fold a second strip into fourths, then in half once more, to make eighths. Count the eighths in 3/4 of the strip.
  3. Predict how many 1/4 cup scoops fill the jug to 2 cups. Write your prediction.
  4. Fill the 1/4 cup and pour it into the jug. Count each scoop until the jug reads 2 cups.
  5. Write the count as a division sentence: 2 ÷ 1/4 = your count.
  6. Repeat with the 1/3 cup, filling to 1 cup. Then try 1 1/2 cups with the 1/4 cup.

The crew's counts

Fill toScoop or pieceCountDivision sentence
2 cups1/4 cup82 ÷ 1/4 = 8
1 1/2 cups1/4 cup61 1/2 ÷ 1/4 = 6
1 cup1/3 cup31 ÷ 1/3 = 3
3/4 strip1/8 strip63/4 ÷ 1/8 = 6

Each row of Raven's log is a division sentence. The count is the quotient, and the scoop is the divisor.

A mixed number like 1 1/2 is easier as an improper fraction: 1 1/2 = 3/2. Then 3/2 ÷ 1/4 = 3/2 × 4/1 = 12/2 = 6.

READ THE CREW'S LOG
  • Read the question.
  • Tap your answer.
The jug is filled to 2 cups with a 1/4 cup scoop. How many scoops?
The jug is filled to 1 1/2 cups with a 1/4 cup scoop. How many scoops?
The jug is filled to 1 cup with a 1/3 cup scoop. How many scoops?
A strip is folded into eighths. How many eighths fit in 3/4 of the strip?
What the lab showsTrue or false?
A smaller scoop means more scoops to fill the same jug.?
The count of scoops is the quotient.?
The scoop size is the dividend.?
2 ÷ 1/4 = 8?
WHY THIS EXERCISENaming the parts of a division sentence helps you set up any story problem.
Rocket predicts the scoops for 2 1/2 cups with a 1/2 cup scoop. How many? Type the number.
WHY THIS EXERCISEPredicting before you pour is how a scientist tests a rule.
Draw your jug with the water line, and the scoop beside it. Write the division sentence under them.

Careful counting. Tomorrow you read Raven's supply list and find how many stations the crew can set up.

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