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.ACCSS-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/
- Hook5 min
- Explore15 min
- Make sense10 min
- Apply10 min
- 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
- Press ▶ Tour and fly from a proton to the observable universe.
- "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
- Pairs press ÷10 Smaller a few times and read each card: the size in scientific notation, written out, and the units.
- Pairs zoom to five things they choose and record each size both ways.
- 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?"
- Pairs try Place it and drag the pin for ten things. Aim for three stars.
Make sense 10 min
- On the board: "A negative exponent means a small number, not a negative number. Where do you see that on the Zoom slider?"
- Work a comparison together: 8 × 10² ÷ 5 × 10⁻³. Round each coefficient to one digit, then subtract the exponents. (About 2 × 10⁵.)
- "The jump from a proton to an atom is empty on purpose. Why?" (Atoms are almost all empty space.)
Apply 10 min
- Pairs open Write it. They slide the decimal point to turn standard form into scientific notation and back. The exponent counts the hops.
- Rule check: "Hop left, the exponent goes up. Hop right, it goes down. Does the value change?"
- 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.