Tangyuan MathLesson 3 · 15 min Stage 1 · The big idea
Hopping down the number line
Counting by 2s, 5s and 10s — skip counting — is how your child will jump over the slow part. They already do more of it than they think.
In this lesson your child will count by 2s, 5s and 10s along a number line, and see that "4 hops of 5" and "4 × 5" are the same sentence — skip counting is multiplication in motion.
Talk it through
"You already know how to skip count. Ready? 10, 20, 30, 40… — see? Every time you count dimes or say 'ten, twenty, thirty', you're skipping numbers. That's called skip counting."
"Now watch what skip counting really is: hopping the same size, over and over. Hop 2: land on 2. Hop 2 again: land on 4. Every hop adds the same amount — just like every plate had the same crackers."
"If you hop by 5, four times — where do you land?" Let them try in the demo below. Then land the punchline: "Four hops of 5 landed you on 20. Guess what mathematicians call four hops of 5? Four times five. That's why × is read as 'times'!"
Take it offline for one minute: count nickels or fingers (hands: 5, 10, 15…), stairs two at a time, or pairs of socks. The order to master: 10s first (they know it), then 5s (clocks and nickels), then 2s (shoes, gloves, wheels).
Try it together
Tangyuan hops while your child drives. Routines that work: race to 50 by 10s; land exactly on 40 by 5s and count the hops; hop by 2s and say the pattern out loud — every landing is even.
Quick check
Common mix-ups
Slipping into +1. "5, 10, 15, 16…" happens when the rhythm is lost. Slow down, go back to the last solid number, and hop again. Watching the hop in the demo (not just saying numbers) fixes it.- Getting stuck crossing tens with 5s (…35, 36?) or with 2s past 20. Totally normal. Practice just that stretch: 30, 35, 40, 45, 50.
- Rushing to 3s and 4s. Fluency with 2s, 5s, 10s is worth far more than a shaky start on 3s. The others come through the game later — with 2/5/10 solid, half the table is already within reach.
Play it now
Today's round mixes the facts your child can now reach by skip counting: 2s and 5s (with 3s and 4s riding along). If a 5-question round feels gentler, choose 5 questions in the game.