Controller down. Race mode on.
Mission:
High Score Chase!
In the island race every meter counts: who is ahead, who is just behind? The number line keeps track of it all.
full speed!
How to practice: one mission a day (15 to 20 minutes) and 5 minutes in the trainer. On a number line, always find the small step first.
Tablet tip: In the ordering trainer you practice neighbors, < and >, number lines and halfway points, with a hint for every mistake and a 10-problem test.
Open the trainerOrdering numbers · neighbors
One Step Forward, One Back
On the scoreboard every point counts. The number just before yours and the number just after are your neighbors.
Complete the table
| Number before | Number | Number after |
|---|---|---|
| 2,999 | ||
| 50,000 | ||
| 8,099 | ||
| 100,000 | ||
| 39,999 |
Ten blanks.
Comparing · ordering
Who Is Ahead?
The scoreboard needs sorting. For that you compare numbers like a pro.
The point of < and > always faces the smaller number: 3 < 8, 8 > 3.
Write < or >
Nine comparisons.
Sort the high scores. Start with the smallest.
Six places.
Now the other way: start with the greatest number.
Five places.
Numbers from digit cards
Use each card exactly once.
Two numbers.
Which numbers lie between 1,998 and 2,003?
Four numbers.
Reading number lines
On the Race Track
The race track is a giant number line. But careful: not every small mark is worth 1!
Number line from 0 to 200
Four boxes.
Number line from 0 to 1,000
Four boxes.
Number line from 2,000 to 3,000
Four boxes.
Number line from 0 to 100,000
Four boxes.
Marking numbers · halfway · scales
Track Pro
Now you help build: mark numbers, find the halfway point and divide the number line into equal intervals.
Mark the numbers
On screen: tap the line to place an arrow, tap again to remove it.
a) Mark 350 and 800 with an arrow below the line.
b) Mark 4,300 and 4,900 with an arrow below the line.
c) Mark 23,000 and 28,000 with an arrow below the line.
Six arrows.
Which number is exactly halfway?
Four problems.
Complete the sequences using equal steps
Six boxes.
Everything mixed · like a test
Test Check
Neighbors, comparisons, number lines and riddles: show what you can do.
Lightning round
Eight problems.
Number line
Three numbers.
Number riddles
Three riddles.
Traffic light: how sure are you?
Extra · on a tablet or computer
Ordering Trainer
Pick a practice type. If you make a mistake, the trainer shows you how to get the answer.
Test: 10 problems
10 problems with a timer. Wrong ones go on your practice list.
Your last tests:
The check buttons count correct boxes. Compare explanations and answer sentences with the answer key yourself.
ANSWER KEY · Try first, then compare.
Answers
1 · Neighbors
49,999 ← 50,000 → 50,001
8,099 ← 8,100 → 8,101
99,998 ← 99,999 → 100,000
39,999 ← 40,000 → 40,001
Typical mistake: number before 50,000 = 49,000. Correct: 49,999.
2 · Who Is Ahead?
B 20,864 < 24,068 < 24,608 < 24,680 < 26,480 < 28,046
C 9,990 > 9,909 > 9,900 > 9,099 > 9,009
D greatest 75,310 | smallest 10,357
E 1,999 | 2,000 | 2,001 | 2,002
Typical mistake: putting the 0 in front. A five-digit number cannot start with 0, so the smallest is 10,357.
3 · Race Track
B step 50 | A = 150 | B = 600 | C = 850
C step 100 | A = 2,300 | B = 2,700 | C = 2,900
D step 5,000 | A = 15,000 | B = 40,000 | C = 85,000
Typical mistake: counting each small mark as 1. Always find the step first.
4 · Track Pro
B 400 and 600: 500 | 2,500 and 3,000: 2,750 | 19,000 and 21,000: 20,000 | 0 and 50,000: 25,000
C 600 → 800 → 1,000 → 1,200 → 1,400
45,000 → 50,000 → 55,000 → 60,000 → 65,000
5 · Test Check
56,789 < 56,798 | 10,101 > 10,011 | 99,999 < 100,000 | 4,321 > 4,312
B A = 300 | B = 1,100 | C = 1,800
C 1: 9,999 | 2: 100,000 | 3: 750
For grown-ups: what helps most
- Practice the numbers before and after round numbers (40,000, 100,000). That is where most mistakes happen.
- On a number line, have the child ask out loud: “How much is one small step?”
- Memory aid for < and >: the point faces the smaller number.