Welcome, Explorer!
Every topic now includes classic worked examples, more than one solving method, and interactive visuals. This version adds a larger random quiz engine, clearer examples, number line fixes, long division layout fixes and fraction limits.
0% academy progress
What this version adds
โ Fixed number line target button
โ Worksheet-style long division SVG
โ Fraction visuals with sensible limits
โ Classic examples, especially percentages
โ Extensive random quiz library
๐ข Numbers
Numbers can be counted, compared, ordered and broken apart.
Classic example: 356 or 365?
- Both numbers have 3 hundreds.
- Compare the tens: 356 has 5 tens, 365 has 6 tens.
- 6 tens is bigger than 5 tens, so 365 is bigger.
Method 1: Count forwards
Counting helps with order: 356 comes before 365.
Method 2: Compare places
Hundreds, then tens, then ones.
๐ Place Value Explorer
Build a number and see chart, expanded form, word form and base-10 blocks.
Classic example: 4,328
- 4 thousands = 4000
- 3 hundreds = 300
- 2 tens = 20
- 8 ones = 8
- 4,328 = 4000 + 300 + 20 + 8
Common mistake
The digit 3 in 4,328 is not worth 3. It is worth 300.
๐ Number Lines
Number lines show order, equal spaces and distance. The New Target button now redraws the target and clears the old message.
Classic example: Find 0.7
- Start at 0.0.
- Move by tenths: 0.1, 0.2, 0.3...
- Stop at 0.7.
Classic example: Find 3/4
- Split the space from 0 to 1 into 4 equal jumps.
- Count 1/4, 2/4, 3/4.
- 3/4 is the third jump.
โ Addition: Many Ways
โ Subtraction: Many Ways
โ๏ธ Multiplication: Many Ways
โ Division Wizard
Now rendered as a worksheet-style layout instead of misaligned text.
Step-by-step long division
Method 1: Formal long division
Divide, multiply, subtract, bring down.
Method 2: Chunking example
15 ร 20 = 300, 432 โ 300 = 132. 15 ร 8 = 120, 132 โ 120 = 12.
Method 3: Answer forms
28 remainder 12, 28 12/15 = 28 4/5, and 28.8.
Classic example: 84 รท 4
4 fits into 8 two times, then 4 fits into 4 one time. Answer: 21.
Classic example: 432 รท 15
15 fits into 43 two times. Then bring down 2 to make 132. 15 fits into 132 eight times. Remainder 12.
๐ Fractions
Fractions are parts of a whole. V4 adds visual limits and notices so large fractions do not break the display.
Classic example: 15/20
- Both 15 and 20 can be divided by 5.
- 15 รท 5 = 3.
- 20 รท 5 = 4.
- 15/20 = 3/4 = 0.75 = 75%
Classic example: 1/2
Half the shape is shaded. 1/2 = 0.5 = 50%.
๐ Decimals
Decimals show parts of one whole using place value after the decimal point.
Classic example: 0.75
- 0.75 is 75 hundredths.
- That means 75/100.
- 75/100 simplifies to 3/4.
- 0.75 = 75%.
๐ฏ Percentages
Percent means out of 100. V4 includes classic worked examples and practice-friendly methods.
Worked example: 50%
- Percent means out of 100.
- 50% = 50/100.
- 50/100 simplifies to 1/2.
- So 50% means one half.
Worked example: 25%
- 25% = 25/100.
- 25 and 100 can both divide by 25.
- 25/100 = 1/4.
- So 25% means one quarter.
Worked example: 75%
- 75% = 75/100.
- 75 and 100 can both divide by 25.
- 75/100 = 3/4.
- So 75% means three quarters.
๐ Quiz Centre
โญ Achievement Centre
Badges unlock as children explore the academy.