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Lesson plan · Grades 7-9 · 45 minutes

Size of Everything

I can read and write very large and very small numbers in scientific notation, and estimate how many times bigger one thing is than another.

Standard
8.EE.A CCSS-Math
Shape
Explore first
Grouping
Whole class for the hook, then pairs on devices.
You need
The tool on the projector and on student devices. Notebooks.
Tool
curioclass.org/tools/size-of-everything/
  1. Hook5 min
  2. Explore15 min
  3. Make sense10 min
  4. Apply10 min
  5. Exit check5 min

Before class

  • Open Zoom at about the size of a person: 10⁰ meters.
  • Sizes are typical published values, rounded. The "you" figure is a typical 13-year-old at 1.6 m.

Hook 5 min

  1. Press ▶ Tour and fly from a proton to the observable universe.
  2. "How many powers of ten did we cross?" (About 42.) "How would you write the size of an atom without a hundred zeros?"

Explore 15 min

  1. Pairs press ÷10 Smaller a few times and read each card: the size in scientific notation, written out, and the units.
  2. Pairs zoom to five things they choose and record each size both ways.
  3. Pairs open Compare and pick two things. The card divides by subtracting exponents. "How many of the smaller thing would line up to match the bigger one?"
  4. Pairs try Place it and drag the pin for ten things. Aim for three stars.

Make sense 10 min

  1. On the board: "A negative exponent means a small number, not a negative number. Where do you see that on the Zoom slider?"
  2. Work a comparison together: 8 × 10² ÷ 5 × 10⁻³. Round each coefficient to one digit, then subtract the exponents. (About 2 × 10⁵.)
  3. "The jump from a proton to an atom is empty on purpose. Why?" (Atoms are almost all empty space.)

Apply 10 min

  1. Pairs open Write it. They slide the decimal point to turn standard form into scientific notation and back. The exponent counts the hops.
  2. Rule check: "Hop left, the exponent goes up. Hop right, it goes down. Does the value change?"
  3. Pairs who finish pick the comparison that surprised them most and explain it.

Exit check 5 min

On a card: "Write 0.00042 m and 93,000,000 mi in scientific notation. The universe is about 10²⁷ m and a proton about 10⁻¹⁵ m. How many times bigger is the universe?" (10⁴².) Cards that call 10⁻¹⁵ a negative size show who needs the slider again.

Support and stretch

  • Support: stay between 10⁻³ and 10⁶ at first.
  • Support: in Write it, say each hop out loud while sliding.
  • Stretch: "Why do scientists use scientific notation instead of writing all the zeros?"
  • Stretch: find two things in Compare that are almost exactly 1,000 times apart.

Short on time

  • ▶ Tour in Zoom (4 min).
  • Compare two things (6 min), then Write it (5 min).

How each button works is in the teacher notes. From Curio Class, free under CC BY 4.0: change it, print it, share it.