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Hundredths

Castles on a number line throw pumpkins at each other: read the target's number in words, find the gap on paper, fix it for the wind and set the dial. Right decimals hit every time. Grade 5.
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Math (Decimals) Grades 5 8 roles 55 min 1 class period
Math (Decimals) Grades 5 8 roles 55 min 1 class period
The county fair pumpkin toss, late afternoon

Castles on a number line throw pumpkins at each other: a group reads its target's number in words, works the gap on paper, fixes it for the wind, picks Lob, Flat or Big lob and sets the dial. If the decimals are right, the pumpkin hits.

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Class Time

55 minutes

Designed For

1 class period

Roles

8 roles

Class Sizes

4 castles, 5 castles, 6 castles, 7 castles, 8 castles

Learning Objectives

5 objectives

Standards

6 standards aligned

Where This Fits in Your Curriculum

Hundredths lands in a grade 5 decimals unit, after students can add and subtract decimals to hundredths, halve a decimal, and have met place value to thousandths. Every round is one chain of decimal work: read a number in words, subtract to find the gap, add or take away the wind, then divide by 2 or 10 and round to the hundredth. Dividing by ten moves every digit one place (5.NBT.A.1, A.2), and a Big lob dial must be rounded, not cut off: cutting it off misses more than half the time (5.NBT.A.4). The game does not cover exponents or powers of ten beyond 10, rounding to other places, number names past hundredths, expanded form, comparing decimals as a skill, multiplying or dividing decimals by decimals, or the whole-number algorithms of 5.NBT.B.5 and B.6. It suits grade 5 math teachers, and grade 6 teachers who want a decimal fluency day with a written method.

What Students Will Learn

Social & Emotional Learning (CASEL)

Aligned to the CASEL framework's core competencies. These are the SEL skills students actively practice while playing.

Flexible Class Sizes

4 castles
Up to 12 students, groups of 3. Untick a castle for a very small class.
5 castles
13 to 20 students, groups of 3 or 4.
6 castles
21 to 24 students, groups of 4. The best fit for the period.
7 castles
25 to 28 students, groups of 4.
8 castles
29 to 32 students. The period is tight: end after round 4 if you need to.

Roles Your Students Will Play

8 teams. The teacher assigns students to teams when the game starts.

Castle Oak
Castle Birch
Castle Maple
Castle Cedar
Castle Willow
Castle Pine
Castle Elm
Castle Spruce

Key Terms Students Will Learn

decimaldigitplace valuetenthhundredththousandthnumber linedifferencegapthrowrounding

After the Game: Debrief Questions

  1. When you divide a gap by ten for Big lob, what happens to every digit?
  2. 7.735 rounds to 7.74. 6.749 rounds to 6.75. Cutting off the last digit can make a Big lob miss. It never makes a Flat throw miss. Why?
  3. When the wind pushes a pumpkin farther, why must its castle throw less?
  4. Why do "eight tenths" and "eighty hundredths" name the same spot?

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