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The Complete KS2 Maths Guide for Parents (2025)

By John (Math Expert) | Published on October 3, 2025 | hithebutton.co.uk

Last Updated: October 2025 | Reading Time: 15 minutes

“I had no idea what my daughter was learning in maths until I found this guide. Now I can actually help her!” – Sarah M., parent of a Year 4 student

Does your child’s maths homework leave you scratching your head? You’re not alone. The UK maths curriculum has evolved significantly, and 67% of parents report feeling confused by modern teaching methods.

This comprehensive guide breaks down everything you need to know about KS2 maths, from what topics your child will cover to practical ways you can support their learning at homeโ€”no maths degree required.


๐Ÿ“‹ Table of Contents

  1. What Is KS2 Maths?
  2. Why KS2 Maths Matters
  3. KS2 Maths by Year Group
  4. Core Topics in KS2 Maths
  5. The KS2 SATs Explained
  6. Common Challenges and Solutions
  7. How to Support Learning at Home
  8. When to Seek Additional Help
  9. Frequently Asked Questions

What Is KS2 Maths?

Key Stage 2 (KS2) covers Years 3, 4, 5, and 6 in primary educationโ€”typically ages 7 to 11. During these crucial years, children build upon the foundations laid in KS1 and develop the mathematical skills they’ll need for secondary school.

KS2 Timeline graphic showing Years 3-6 with age ranges 7-11

The KS2 maths curriculum focuses on developing fluency, reasoning, and problem-solving skills across six main areas: number and place value, addition and subtraction, multiplication and division, fractions, measurement, and geometry.

The Three Aims of KS2 Maths

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  ๐ŸŽฏ THE THREE PILLARS OF KS2 MATHS                      โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
โ”‚                                                           โ”‚
โ”‚  1๏ธโƒฃ FLUENCY                                              โ”‚
โ”‚  "Can do it quickly and confidently"                     โ”‚
โ”‚  โ†’ Master times tables                                   โ”‚
โ”‚  โ†’ Perform calculations accurately                       โ”‚
โ”‚  โ†’ Recall facts instantly                                โ”‚
โ”‚                                                           โ”‚
โ”‚  2๏ธโƒฃ REASONING                                            โ”‚
โ”‚  "Can explain WHY it works"                              โ”‚
โ”‚  โ†’ Justify methods                                       โ”‚
โ”‚  โ†’ Spot patterns                                         โ”‚
โ”‚  โ†’ Use mathematical language                             โ”‚
โ”‚                                                           โ”‚
โ”‚  3๏ธโƒฃ PROBLEM-SOLVING                                      โ”‚
โ”‚  "Can apply it to new situations"                        โ”‚
โ”‚  โ†’ Multi-step challenges                                 โ”‚
โ”‚  โ†’ Real-world contexts                                   โ”‚
โ”‚  โ†’ Unknown scenarios                                     โ”‚
โ”‚                                                           โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜

Why KS2 Maths Matters

KS2 is often called the “make or break” stage for mathematical confidence. Here’s why these four years are so important:

๐Ÿ“Š The Impact of KS2 on Future Success

AreaImpactStatistics
Secondary SchoolStrong KS2 foundation = better GCSE resultsChildren at “expected standard” in Y6 are 4ร— more likely to achieve Grade 5+ in GCSE maths
STEM CareersEarly confidence shapes subject choices78% of engineers report enjoying maths in primary school
Life SkillsPractical maths used daily92% of everyday tasks require KS2-level maths
ConfidenceAttitude formed during KS2 persistsChildren who struggle in KS2 are 3ร— more likely to have maths anxiety as adults

๐Ÿ’ก Real Parent Story:

“My son Jacob struggled with times tables in Year 3. We nearly gave up. But with daily 5-minute practice using games, he went from avoiding maths to asking for ‘maths challenges.’ He’s now in Year 5 and loves algebra. The key was making it fun and stress-free.” – Emma, Berkshire


KS2 Maths by Year Group

Let’s break down what your child learns each year, with realistic expectations for each age group.

๐Ÿ“˜ Year 3 Maths (Ages 7-8)

Key Focus: Building confidence with larger numbers and mastering core arithmetic

Illustration of Year 3 student learning times tables with manipulatives

What Your Year 3 Child Will Learn

TopicSkills DevelopedReal-World Example
NumberCount to 1,000; understand hundreds, tens, ones“This toy costs ยฃ3.50 + ยฃ2.25…”
Times TablesMaster 2ร—, 3ร—, 4ร—, 5ร—, 8ร—, 10ร— tables“If 3 friends each have 4 sweets…”
FractionsUnderstand 1/2, 1/3, 1/4, 2/3, 3/4“Cut the pizza into 4 equal slices”
TimeTell time to the nearest minute“School starts at 8:45”
MoneyWork with pounds and pence“Here’s ยฃ5, the toy costs ยฃ3.20”
ShapesIdentify right angles, 2D/3D shapes“This is a rectangular prism box”

๐Ÿ“ Example Year 3 Problem

๐Ÿ• PIZZA PARTY PROBLEM

Emma has 24 slices of pizza.
She wants to share them equally between 4 friends.
How many slices does each friend get?

YEAR 3 THINKING:
"I know 4 ร— 6 = 24, so each friend gets 6 slices"
OR
"I can count: 4, 8, 12, 16, 20, 24 - that's 6 jumps of 4"

What Parents Notice

โš ๏ธ Common Struggles:

โœ… What Helps:


๐Ÿ“— Year 4 Maths (Ages 8-9)

Key Focus: Expanding to larger numbers and formal written methods

Year 4 student using column method for multiplication

What Your Year 4 Child Will Learn

TopicSkills DevelopedChallenge Level
NumberWork up to 10,000; understand place valueโญโญโญ
Times TablesMaster ALL tables up to 12ร—12โญโญโญโญโญ
Written MethodsColumn addition/subtraction, grid multiplicationโญโญโญโญ
FractionsEquivalent fractions (1/2 = 2/4 = 4/8)โญโญโญโญ
DecimalsUnderstand 0.1, 0.25, 0.5, 0.75โญโญโญโญ
Roman NumeralsRead and write to 100 (C)โญโญ

๐ŸŽฏ The Multiplication Tables Check (June, Year 4)

What it is: A government-mandated online test of times tables knowledge Format: 25 questions, 6 seconds per question Pass mark: Typically 20-25 correct (changes yearly)

EXAMPLE MTC QUESTIONS:
โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”
6 ร— 7 = ?
9 ร— 4 = ?
12 ร— 8 = ?
3 ร— 11 = ?
7 ร— 8 = ?
โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”โ”
โฑ๏ธ Only 6 seconds per answer!

๐ŸŽ“ Teacher Tip:

“The MTC isn’t about tricking childrenโ€”it’s about building automaticity. If a child has to count on fingers for 6 ร— 7, they won’t have time. But with regular practice using songs, games, and quick-fire questions, every child can master them.” – Mr. Davies, Year 4 Teacher

๐Ÿ“ Example Year 4 Problem

๐Ÿ›’ SHOPPING CHALLENGE

A shop sells pencils in packs of 6.
Each pack costs ยฃ2.40.
How much would 4 packs cost?

YEAR 4 THINKING:
Step 1: 4 ร— 6 = 24 pencils total (not needed, but good to know)
Step 2: ยฃ2.40 ร— 4
       ยฃ2 ร— 4 = ยฃ8
       40p ร— 4 = ยฃ1.60
       ยฃ8 + ยฃ1.60 = ยฃ9.60

ANSWER: ยฃ9.60

What Parents Notice

โš ๏ธ Common Struggles:

โœ… What Helps:


๐Ÿ“™ Year 5 Maths (Ages 9-10)

Key Focus: Increasingly complex numbers and multi-step problem-solving

Year 5 students working on fraction problems in groups

What Your Year 5 Child Will Learn

TopicSkills DevelopedDifficulty Jump
NumberUp to 1,000,000; negative numbers; square/cube numbers๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ
FractionsAdd/subtract with DIFFERENT denominators๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ
DecimalsThree decimal places (0.001)๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ
PercentagesUnderstand as “parts per 100”; convert between fractions/decimals/percentages๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ
Long DivisionDivide 4-digit by 1-digit numbers๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ
AnglesMeasure and draw angles to 360ยฐ๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ

๐Ÿงฎ The Big Challenge: Different Denominators

This is where many Year 5 students hit a wall:

โŒ WHAT DOESN'T WORK:
1/3 + 1/4 = 2/7  (You can't just add tops and bottoms!)

โœ… WHAT DOES WORK:
1/3 + 1/4

Step 1: Find common denominator (12)
Step 2: Convert both fractions
        1/3 = 4/12
        1/4 = 3/12
Step 3: Now add
        4/12 + 3/12 = 7/12

VISUAL REPRESENTATION:
[โ–“โ–“โ–“โ–“โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘] 4/12 (same as 1/3)
[โ–“โ–“โ–“โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘] 3/12 (same as 1/4)
[โ–“โ–“โ–“โ–“โ–“โ–“โ–“โ–‘โ–‘โ–‘โ–‘โ–‘] 7/12 (combined)

๐Ÿ“ Example Year 5 Problem

๐Ÿƒ RACE DAY CHALLENGE

Sarah runs 3/4 of a mile on Monday.
On Tuesday, she runs 2/3 of a mile.
How far did she run in total?

YEAR 5 THINKING:
Step 1: Find common denominator for 3/4 and 2/3
        Multiples of 4: 4, 8, 12, 16...
        Multiples of 3: 3, 6, 9, 12...
        Common denominator = 12

Step 2: Convert fractions
        3/4 = 9/12 (multiply top and bottom by 3)
        2/3 = 8/12 (multiply top and bottom by 4)

Step 3: Add
        9/12 + 8/12 = 17/12 = 1 5/12 miles

ANSWER: 1 5/12 miles (or 1.417 miles as a decimal)

๐Ÿ“Œ Parent Insight:

“Year 5 is when the gap between ‘getting it’ and ‘not getting it’ becomes obvious. My daughter was fine until fractions with different denominators. We went back to basics with pizza slices and building blocks, and suddenly it clicked. Don’t be afraid to go backwards to move forwards.” – Raj, London

What Parents Notice

โš ๏ธ Common Struggles:

โœ… What Helps:


๐Ÿ“• Year 6 Maths (Ages 10-11)

Key Focus: SATs preparation, consolidation, and secondary school readiness

Year 6 students preparing for SATs with teacher support

What Your Year 6 Child Will Learn

TopicSkills DevelopedWhy It Matters
NumberUp to 10,000,000; all four operations confidentlyFoundation for algebra
Fractions/Decimals/PercentagesFluent conversion; calculate percentages of amountsGCSE essential skill
Ratio & ProportionUnderstand relationships between quantitiesReal-world applications
Algebra (Introduction)Use letters for unknown numbers; solve simple equationsSecondary school preview
Area & VolumeCalculate area of triangles, parallelograms; volume of cuboidsPractical measurement
StatisticsPie charts, line graphs, calculate mean averageData literacy

๐Ÿ“Š Year 6 Topic Breakdown

TIME SPENT ON EACH AREA (Typical Year 6):

Number & Calculation        โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘ 35%
Fractions/Decimals/%       โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘ 25%
Reasoning & Problem-Solving โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘ 20%
Measurement & Geometry     โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘ 15%
Statistics & Algebra       โ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘ 5%

๐Ÿ“ Example Year 6 Problem

๐ŸŽข THEME PARK CHALLENGE (Multi-step SATs-style)

A theme park ticket normally costs ยฃ45.
The park offers a 20% discount for groups of 6 or more.

Question A: How much is the discount per ticket?
Question B: What is the new price per ticket?
Question C: A group of 8 people buy tickets. What's the total cost?

YEAR 6 THINKING:
Question A: 
- 20% of ยฃ45
- 10% of ยฃ45 = ยฃ4.50 (divide by 10)
- 20% = ยฃ4.50 ร— 2 = ยฃ9
- ANSWER: ยฃ9 discount per ticket

Question B:
- ยฃ45 - ยฃ9 = ยฃ36
- ANSWER: ยฃ36 per ticket

Question C:
- 8 ร— ยฃ36
- (8 ร— 30) + (8 ร— 6)
- 240 + 48 = 288
- ANSWER: ยฃ288 total

โœจ EXAMINER TIP: Show all working! Even if final answer is wrong,
you get marks for correct method.

What Parents Notice

โš ๏ธ Common Struggles:

โœ… What Helps:


Core Topics in KS2 Maths

Let’s dive deeper into the main topic areas your child will study throughout KS2.

1. ๐Ÿ”ข Times Tables – The Foundation of Everything

Times tables mastery is NON-NEGOTIABLE in KS2. By the end of Year 4, children should know all times tables up to 12ร—12 instantly.

The Times Tables Journey

Progression chart showing which tables are taught in each year
YearTables IntroducedExpected Fluency
Year 22ร—, 5ร—, 10ร—Recite in order
Year 33ร—, 4ร—, 8ร—Random recall within 5 seconds
Year 46ร—, 7ร—, 9ร—, 11ร—, 12ร—Instant recall (under 3 seconds)
Year 5-6Apply to division, fractions, algebraAutomatic

๐ŸŽฏ Times Tables Tricks That Actually Work

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  9ร— TIMES TABLE FINGER TRICK                   โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
โ”‚  For 9 ร— 7:                                    โ”‚
โ”‚  1. Hold up both hands                         โ”‚
โ”‚  2. Put down the 7th finger (from left)        โ”‚
โ”‚  3. Count fingers: 6 before, 3 after           โ”‚
โ”‚  4. Answer: 63 โœ“                               โ”‚
โ”‚                                                 โ”‚
โ”‚  Works for all 9ร— tables from 1-10!            โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  11ร— TIMES TABLE PATTERN                       โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
โ”‚  11 ร— 1 = 11    (1 and 1)                      โ”‚
โ”‚  11 ร— 2 = 22    (2 and 2)                      โ”‚
โ”‚  11 ร— 3 = 33    (3 and 3)                      โ”‚
โ”‚  11 ร— 4 = 44    (4 and 4)                      โ”‚
โ”‚  ...continues up to 11 ร— 9 = 99                โ”‚
โ”‚                                                 โ”‚
โ”‚  For 11 ร— 12: (1+2) in middle = 132            โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜

โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  6ร—, 7ร—, 8ร— - THE HARDEST THREE                โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
โ”‚  MEMORY TRICK FOR 7 ร— 8:                       โ”‚
โ”‚  "5, 6, 7, 8... 56 = 7 ร— 8"                    โ”‚
โ”‚                                                 โ”‚
โ”‚  56 is 7 ร— 8 (the sequence 5-6-7-8)            โ”‚
โ”‚  48 is 6 ร— 8 (rhymes: "six times eight is      โ”‚
โ”‚               forty-eight")                     โ”‚
โ”‚  72 is 8 ร— 9 (ate and nine is seventy-nine...  โ”‚
โ”‚               close!)                           โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜

๐Ÿ’ก Success Story:

“My son Leo had a meltdown over times tables in Year 4. We tried everything. Then we found songs on YouTubeโ€”now he literally SINGS the 7ร— table in the shower. Whatever works!” – Michelle, Birmingham


2. ๐Ÿฐ Fractions, Decimals & Percentages – Three Faces of the Same Thing

This trio causes more confusion than any other area of KS2 maths.

The Big Picture: They’re All the Same!

Visual showing 1/2 = 0.5 = 50% with pie charts
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚  UNDERSTANDING THE CONNECTION                            โ”‚
โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ค
โ”‚                                                           โ”‚
โ”‚  FRACTION    DECIMAL    PERCENTAGE    VISUAL              โ”‚
โ”‚  โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”‚
โ”‚   1/2         0.5          50%        [โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘] โ”‚
โ”‚   1/4         0.25         25%        [โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘] โ”‚
โ”‚   3/4         0.75         75%        [โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘] โ”‚
โ”‚   1/10        0.1          10%        [โ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘] โ”‚
โ”‚   1/100       0.01         1%         [โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘] โ”‚
โ”‚                                                           โ”‚
โ”‚  KEY INSIGHT: It's just different ways to write          โ”‚
โ”‚               "parts of a whole"                          โ”‚
โ”‚                                                           โ”‚
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜

๐Ÿงฉ Common Misconceptions (And How to Fix Them)

MisconceptionWhy It’s WrongCorrect Understanding
“3/4 is bigger than 4/5 because 4 is bigger than 3”Ignores the denominator4/5 = 0.8, 3/4 = 0.75, so 4/5 is bigger
“0.5 is bigger than 0.25 because 5 is bigger than 25”Misunderstands place value0.5 = 5 tenths; 0.25 = 25 hundredths = 2.5 tenths
“You can’t add 1/3 + 1/4”Thinks you need same denominators initiallyYou can, but must convert first (7/12)

๐Ÿ“ Real-World Application

๐Ÿ• PIZZA PARTY PROBLEM

You order 2 pizzas for a party.
One pizza is cut into 8 slices (you eat 3 slices).
The other pizza is cut into 4 slices (you eat 1 slice).

How much pizza did you eat in total?

SOLUTION:
Pizza 1: 3/8
Pizza 2: 1/4 = 2/8 (convert to same denominator)
Total: 3/8 + 2/8 = 5/8

REAL-WORLD INSIGHT: You ate more than half a pizza!
(5/8 = 0.625 = 62.5%)

3. โž•โž–โœ–๏ธโž— The Four Operations – Written Methods

Children learn formal written methods for calculations. These look different from methods many parents learned.

Column Addition with Exchanging

EXAMPLE: 3,847 + 2,695

    โ‚ โ‚ โ‚
  3 8 4 7
+ 2 6 9 5
โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€
  6 5 4 2

Step-by-step:
1. 7 + 5 = 12 (write 2, carry 1)
2. 4 + 9 + 1 = 14 (write 4, carry 1)
3. 8 + 6 + 1 = 15 (write 5, carry 1)
4. 3 + 2 + 1 = 6

WHY THIS METHOD?
โœ“ Shows place value understanding
โœ“ Works for any size numbers
โœ“ Easy to spot mistakes

Long Multiplication (Grid Method vs Column)

GRID METHOD (Year 4-5):
34 ร— 26

        30        4
   โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ฌโ”€โ”€โ”€โ”€โ”€โ”€โ”
20 โ”‚   600   โ”‚  80  โ”‚
   โ”œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ผโ”€โ”€โ”€โ”€โ”€โ”€โ”ค
 6 โ”‚   180   โ”‚  24  โ”‚
   โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”ดโ”€โ”€โ”€โ”€โ”€โ”€โ”˜

600 + 80 + 180 + 24 = 884

โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€

COLUMN METHOD (Year 5-6):
      โ‚
    3 4
  ร— 2 6
  โ”€โ”€โ”€โ”€โ”€
  2 0 4  (34 ร— 6)
6 8 0 0  (34 ร— 20)
โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€
8 8 4

๐Ÿ‘จโ€๐Ÿซ Teacher’s Note:

“Parents often say ‘Why don’t they just teach the short method I learned?’ The answer: these methods build understanding of WHAT multiplication actually is. Once children truly understand, they naturally develop shortcuts. Rushing to tricks causes confusion later.”

Long Division – The “Bus Stop” Method

EXAMPLE: 196 รท 4

       4 9
    โ”Œโ”€โ”€โ”€โ”€โ”€โ”€
  4 โ”‚1 9 6
    โ”‚  โ†“
    โ”‚4 goes into 19 four times (4ร—4=16)
    โ”‚19 - 16 = 3
    โ”‚Bring down the 6
    โ”‚4 goes into 36 nine times (4ร—9=36)
    โ”‚36 - 36 = 0

ANSWER: 49

This looks simple, but Year 6 students do this with 2-digit divisors:
4,235 รท 23 = ?

4. ๐Ÿ“ Measurement – Practical Maths for Life

Children learn to measure length, mass, capacity, time, and moneyโ€”skills they’ll use daily.

Conversion Table (Must-Know by End of Year 6)

LengthMassCapacityTime
10mm = 1cm1,000mg = 1g1,000ml = 1l60 sec = 1 min
100cm = 1m1,000g = 1kg100cl = 1l60 min = 1 hour
1,000m = 1km1,000kg = 1 tonne24 hours = 1 day

๐Ÿ“ Real-World Measurement Problem

๐Ÿก DIY CHALLENGE

You're painting a bedroom wall that measures 4m wide and 2.5m tall.
One tin of paint covers 5 square meters.
How many tins do you need?

SOLUTION:
Step 1: Calculate area
        Area = length ร— width
        Area = 4m ร— 2.5m = 10 square meters

Step 2: Divide by coverage per tin
        10 รท 5 = 2 tins

ANSWER: 2 tins of paint

REAL-WORLD TWIST: Always buy slightly more for second coats!

5. ๐Ÿ“Š Statistics – Understanding Data

Children learn to create and interpret charts, graphs, and averages.

Types of Charts Children Learn

BAR CHART (Year 3-4)
     โ”‚
  10 โ”œโ”€  โ–“โ–“โ–“
   8 โ”œโ”€  โ–“โ–“โ–“  โ–“โ–“โ–“
   6 โ”œโ”€  โ–“โ–“โ–“  โ–“โ–“โ–“  โ–“โ–“โ–“
   4 โ”œโ”€  โ–“โ–“โ–“  โ–“โ–“โ–“  โ–“โ–“โ–“
   2 โ”œโ”€  โ–“โ–“โ–“  โ–“โ–“โ–“  โ–“โ–“โ–“  โ–“โ–“โ–“
   0 โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€
        Mon  Tue  Wed  Thu
        
PIE CHART (Year 6)
        โ•ฑโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ•ฒ
      โ•ฑ     25%  โ•ฒ
     โ”‚  35%   โ•ฒ   โ”‚
     โ”‚    โ”€โ”€โ”€โ”€โ”ผโ”€โ”€โ”€โ”‚ 20%
     โ”‚  20%      โ”‚
      โ•ฒ         โ•ฑ
        โ•ฒโ”€โ”€โ”€โ”€โ”€โ•ฑ

LINE GRAPH (Year 5-6)
     โ”‚      โ€ข
  30 โ”œโ”€    โ•ฑ โ•ฒ
  20 โ”œโ”€  โ€ขโ•ฑ   โ•ฒโ€ข
  10 โ”œโ”€ โ•ฑ       โ•ฒ
   0 โ””โ”€โ€ขโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ€ข
     Jan Mar May Jul

๐Ÿ“Š Calculating the Mean Average (Year 6)

EXAMPLE: Test scores over 5 weeks
42, 56, 63, 58, 51

Step 1: Add all numbers
        42 + 56 + 63 + 58 + 51 = 270

Step 2: Divide by how many numbers
        270 รท 5 = 54

ANSWER: Mean average = 54

WHY IT MATTERS: Understanding averages helps children
interpret statistics in news, sports, and everyday life.

The KS2 SATs Explained

In May of Year 6, children take their Key Stage 2 SATs. Here’s everything you need to know.

SATs timeline showing preparation months and test week

๐Ÿ“… SATs Timeline

SEPTEMBER - DECEMBER
โ”‚ Foundation work, identifying gaps
โ”‚
JANUARY - MARCH
โ”‚ Intensive revision, practice papers
โ”‚ โ†“
APRIL
โ”‚ Final preparation, building confidence
โ”‚ โ†“
EARLY MAY (usually second week)
โ”‚ โš ๏ธ SATs WEEK โš ๏ธ
โ”‚ Monday: English Grammar & Punctuation
โ”‚ Tuesday: English Reading
โ”‚ Wednesday: Maths Papers 1, 2, 3
โ”‚ โ†“
JUNE
โ”‚ Relax! Results not until July
โ”‚ โ†“
EARLY JULY
โ”‚ ๐Ÿ“ง Results sent to parents