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๐Ÿฅท
The Number
Dojo!
A Numeracy Ninja Adventure!
๐Ÿ”ข โž• โœ–๏ธ ๐Ÿ’ฐ โญ

Master place value, operations, times tables, and money! ยท Year 3โ€“5

p.1
Welcome!

Meet Numi the Ninja! ๐Ÿฅท

Hi-YAH! Welcome to the Number Dojo, young ninja! ๐Ÿ‘‹

I'm Numi the Number Ninja, and I'm going to train you in the FOUR secret arts of numbers! ๐Ÿ”ข

Every great ninja needs sharp maths skills. Today you'll learn:

๐Ÿฏ Place Value โ€” what each digit is worth

โš”๏ธ Addition & Subtraction โ€” fast mental tricks

๐ŸŒ€ Multiplication & Division โ€” times tables power

๐Ÿ’ฐ Money โ€” Aussie coins and notes!

Each skill you master earns you a ninja belt! Ready to train? Let's go! ๐Ÿฅ‹

๐Ÿฅท
Numi the Number Ninja
๐Ÿฏ Master of Place Value
โšก Lightning-fast calculator
๐Ÿ’ฐ Money maths expert
๐Ÿฅ‹ Belts: White โ†’ Black!
p.2
Skill 1

๐Ÿฏ Place Value โ€” What's Each Digit Worth?

In the Number Dojo, the FIRST secret is Place Value! ๐Ÿฏ

Every digit in a number has a position, and that position tells you its VALUE!

Look at the number 3,472:

๐Ÿ”น 3 is in the Thousands place โ†’ worth 3,000

๐Ÿ”น 4 is in the Hundreds place โ†’ worth 400

๐Ÿ”น 7 is in the Tens place โ†’ worth 70

๐Ÿ”น 2 is in the Ones place โ†’ worth 2

So 3,472 = 3,000 + 400 + 70 + 2

This is called expanded form! ๐Ÿ’ช

๐Ÿฏ
Place Value Chart
๐Ÿ”ด Thousands = ร— 1,000
๐ŸŸ  Hundreds = ร— 100
๐ŸŸก Tens = ร— 10
๐ŸŸข Ones = ร— 1
๐Ÿง  Quick Quiz!

In the number 5,816, what is the value of the digit 8?

p.3
Skill 1

๐Ÿฏ Comparing & Rounding Numbers!

A ninja always knows which number is bigger or smaller! ๐ŸŠ

We use these special symbols:

๐Ÿ”น > means greater than (the big mouth eats the bigger number!)

๐Ÿ”น < means less than

๐Ÿ”น = means equal to

Example: 4,526 > 3,981 โœ…

Rounding makes numbers simpler! Look at the digit to the RIGHT of the one you're rounding:

๐Ÿ”น If it's 0โ€“4 โ†’ round DOWN

๐Ÿ”น If it's 5โ€“9 โ†’ round UP

Example: Round 367 to the nearest hundred โ†’ look at the 6 (tens) โ†’ 6 โ‰ฅ 5 โ†’ round UP โ†’ 400! ๐ŸŽฏ

๐ŸŠ
The Hungry Crocodile!
๐ŸŠ Mouth opens to the BIGGER number
> 52 > 38 (52 is bigger)
< 15 < 42 (15 is smaller)
= 25 = 25 (they match!)
๐Ÿ’ก Numi's Rounding Trick!
Think of a hill! Numbers 1โ€“4 roll BACK down (round down). Numbers 5โ€“9 roll OVER the top (round up)! ๐Ÿ”๏ธ So 73 rounded to the nearest ten? The 3 rolls back โ†’ 70. And 78? The 8 rolls over โ†’ 80!
p.4
Skill 2

โš”๏ธ Addition โ€” Mental Ninja Tricks!

A true Number Ninja doesn't always need a pencil โ€” you can add in your HEAD! Here are Numi's secret tricks: ๐Ÿง 

StrategyHow It WorksExample
Jump StrategyStart at one number and jump by tens, then ones48 + 35 โ†’ 48 + 30 = 78, then + 5 = 83
Split StrategySplit both numbers into tens and ones, add separately46 + 37 โ†’ (40+30) + (6+7) = 70 + 13 = 83
CompensateRound one number up, add, then take away the extra56 + 29 โ†’ 56 + 30 = 86, then โˆ’ 1 = 85
DoublesUse known doubles to help7 + 8 โ†’ double 7 = 14, then + 1 = 15
๐Ÿง  Quick Quiz!

Using the jump strategy: 63 + 25 = ?

p.5
Skill 2

โš”๏ธ Subtraction & Word Problems!

Subtraction is the REVERSE ninja move! Take away, find the difference, or find what's missing! โš”๏ธ

Strategy 1: Count Back

๐Ÿ”น 72 โˆ’ 5 โ†’ count back: 71, 70, 69, 68, 67 โœ…

Strategy 2: Jump Back

๐Ÿ”น 85 โˆ’ 32 โ†’ jump back 30: 55, then โˆ’ 2 = 53

Strategy 3: Add Up (Shopkeeper's Method!)

๐Ÿ”น "What's 100 โˆ’ 67?" โ†’ start at 67, add up to 100: 67 + 3 = 70, + 30 = 100 โ†’ answer is 33!

Word Problem Tip: Look for clue words!

โž• Add: altogether, total, in all, combined, sum

โž– Subtract: left over, remaining, difference, fewer, less than

โš”๏ธ
Clue Words!
โž• "altogether" = ADD
โž• "how many in total" = ADD
โž– "how many left" = SUBTRACT
โž– "difference between" = SUBTRACT
๐Ÿ“– Maths Tip!
Challenge questions love word problems! Always read the question TWICE, circle the clue words, and decide if you need to add or subtract BEFORE you start calculating! ๐ŸŽฏ
p.6
Skill 3

๐ŸŒ€ Multiplication โ€” Times Tables Power!

Multiplication is just FAST adding โ€” groups of the same number! ๐ŸŒ€

3 ร— 4 means "3 groups of 4" = 4 + 4 + 4 = 12

Numi's times table tricks:

๐Ÿ”น ร—2 = just double it! (7 ร— 2 = 14)

๐Ÿ”น ร—5 = count by 5s: 5, 10, 15, 20...

๐Ÿ”น ร—10 = add a zero! (6 ร— 10 = 60)

๐Ÿ”น ร—9 = the finger trick! Hold up 10 fingers. Put down finger #4 for 9 ร— 4. Count: 3 fingers left, gap, 6 fingers right = 36! ๐Ÿ–๏ธ

๐Ÿ”น ร—4 = double then double again! (6 ร— 4 = 6ร—2=12, then 12ร—2 = 24)

Remember: order doesn't matter! 3 ร— 7 = 7 ร— 3 = 21

๐ŸŒ€
Array Power!
๐Ÿ”ต ๐Ÿ”ต๐Ÿ”ต๐Ÿ”ต๐Ÿ”ต = 3 rows ร— 4 = 12
๐Ÿ”ต ๐Ÿ”ต๐Ÿ”ต๐Ÿ”ต๐Ÿ”ต
๐Ÿ”ต ๐Ÿ”ต๐Ÿ”ต๐Ÿ”ต๐Ÿ”ต
๐Ÿ’ก Arrays help you SEE multiplication!
๐Ÿง  Quick Quiz!

What is 7 ร— 8?

p.7
Skill 3

๐ŸŒ€ Division โ€” Sharing & Grouping!

Division is the opposite of multiplication! It means sharing equally or making groups. รท

Sharing: 12 รท 3 = "Share 12 among 3 people" โ†’ each gets 4

Grouping: 12 รท 3 = "How many groups of 3 in 12?" โ†’ 4 groups

The ninja shortcut? Use your times tables BACKWARDS! ๐Ÿ”„

๐Ÿ”น 24 รท 6 = ? โ†’ Think: "6 ร— ? = 24" โ†’ 6 ร— 4 = 24 โ†’ answer is 4!

๐Ÿ”น 45 รท 9 = ? โ†’ Think: "9 ร— ? = 45" โ†’ 9 ร— 5 = 45 โ†’ answer is 5!

Remainders: Sometimes it doesn't divide evenly!

๐Ÿ”น 14 รท 3 = 4 remainder 2 (because 3 ร— 4 = 12, and 14 โˆ’ 12 = 2 left over)

รท
Division is Backwards ร—!
๐Ÿ”„ Division = reverse multiplication
๐Ÿค Sharing = equal parts for each
๐Ÿ“ฆ Grouping = how many groups?
๐Ÿงฉ Remainder = what's left over
๐Ÿ’ก Numi's Division Trick!
If you know your times tables, you ALREADY know division! Just flip the question around. "35 รท 7 = ?" becomes "7 ร— ? = 35". The answer is 5! Times tables are the KEY to division mastery! ๐Ÿ”‘
p.8
Skill 3

๐ŸŒ€ ร— and รท Word Problems!

Challenge questions love giving you word problems for multiplication and division! Here's how to spot which operation to use: ๐Ÿ”

Clue WordsOperationExample
groups of, rows of, times, each, every, perMultiply (ร—)"5 bags with 8 apples each" โ†’ 5 ร— 8 = 40
share equally, divide, split, each getsDivide (รท)"24 stickers shared among 6 kids" โ†’ 24 รท 6 = 4
how many groups, how many in eachDivide (รท)"How many teams of 4 from 20 kids?" โ†’ 20 รท 4 = 5
array, rows ร— columnsMultiply (ร—)"3 rows of 6 chairs" โ†’ 3 ร— 6 = 18
๐Ÿง  Quick Quiz!

"A baker made 36 cupcakes and put them in boxes of 9. How many boxes did he fill?"

p.9
Skill 4

๐Ÿ’ฐ Aussie Money โ€” Coins & Notes!

Time to master Australian money! A ninja always knows the value of their coins! ๐Ÿ’ฐ

๐Ÿช™ Coins:

๐Ÿ”น 5c (small, round, silver)

๐Ÿ”น 10c (larger, round, silver)

๐Ÿ”น 20c (12-sided, silver)

๐Ÿ”น 50c (big 12-sided, silver)

๐Ÿ”น $1 (small, gold)

๐Ÿ”น $2 (tiny, gold โ€” smaller than $1!)

๐Ÿ’ต Notes: $5, $10, $20, $50, $100

Tricky! Australia has NO 1c or 2c coins โ€” prices get rounded to the nearest 5c when paying cash!

Australian Money!
5c
10c
20c
50c
$1
$2
$5
$10
$20
$50
$100
p.10
Skill 4

๐Ÿ’ฐ Adding Money & Giving Change!

To add money, start with the biggest and count on! ๐Ÿ’ฐ

Example: $2 + $1 + 50c + 20c + 5c

โ†’ $2 ... $3 ... $3.50 ... $3.70 ... $3.75 โœ…

Giving Change โ€” use the "count up" method!

You buy something for $3.40 and pay with $5.00.

๐Ÿ”น Start at $3.40

๐Ÿ”น +10c = $3.50

๐Ÿ”น +50c = $4.00

๐Ÿ”น +$1 = $5.00 โœ…

Change = 10c + 50c + $1 = $1.60!

Top tip: Always write money with 2 decimal places! $3.40 not $3.4 โœ๏ธ

๐Ÿ›’
Shopping Ninja!
๐Ÿ’ก Add biggest coins/notes first
๐Ÿ”ข Change = paid โˆ’ cost
โฌ†๏ธ "Count up" for easy change
โœ๏ธ Always 2 decimal places!
๐Ÿง  Quick Quiz!

You buy a toy for $7.50 and pay with $10. How much change do you get?

p.11
Review

๐Ÿง  Remember All 4 Ninja Skills!

Numi's memory trick to remember your 4 number ninja skills:

๐ŸŒŸ "Powerful Amazing Maths Money!" ๐ŸŒŸ

P Powerful ๐Ÿฏ ??? (tap to reveal!)
A Amazing โš”๏ธ ??? (tap to reveal!)
M Maths ๐ŸŒ€ ??? (tap to reveal!)
M Money ๐Ÿ’ฐ ??? (tap to reveal!)
๐Ÿฏ Place Value: Every digit has a place and a value!
โš”๏ธ Add/Subtract: Jump, split, or compensate!
๐ŸŒ€ Multiply/Divide: Times tables are the key!
๐Ÿ’ฐ Money: Biggest first, count up for change!
๐Ÿ“– Word Problems: Circle clue words first!
๐Ÿ† Final Quiz!

The Number Ninja Challenge!

Numi wants to test your number skills! Answer 8 questions. You need at least 6 correct to earn your certificate! ๐ŸŒŸ

Question 1 of 8 Score: 0 / 8
๐Ÿฅท
๐ŸŽ“
๐Ÿ† Certificate

Your Number Ninja Certificate!

Type the name above, then click Download or Print!