Basic Operations +-x/

Tutorial Videos

Place Value – Corbettmaths

Corbett Maths Place Value

Ordering Numbers – Corbettmaths

Corbett Maths Ordering Numbers

Online Platforms (with Videos & Exercises)

Activities & Resources

• Maths 4 Everyone
  • Dienes Blocks Loop 1 · 2
• Pixi Maths
  • Place Value ppt (First 10 Slides)
• Andy Lutwyche
  • Reading and Writing Large Numbers Codebreaker
  • Codebreaker
• Don Steward
  • Manifest
  • A Billion
  • Size of a Million
• Transum
  • Know Your Place
• Go Teach Maths
  • Ordering Directed Numbers
  • Place Value & Ordering Integers
  • Integers as Words
• MathsPad
  • Interactive Place Value Tool✦
  • Place Value Booklet, Slides and Activities✦
• MathsBot
  • Place value chart✦
• BossMaths
  • Ordering positive and negative integers lesson✦
• CIMT MEP
  • Place value chapter & activities✦
• SMILE
  • Calculator flags✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
• Ticktock Maths
  • Place Value and Writing Integers lesson (slides)
• Grid Number (Dave Hewitt & Jonathan Hall)
  • Extended Hundred Square (interactive) · PDF · Word
  • Which Number Goes Here? (interactive) · PDF · Word
• NCETM
  • NCETM Checkpoints: Place value (diagnostic tasks, PowerPoint)

Worksheets

• Corbettmaths
  • Place Value Practice Questions & Solutions
  • Place Value Worksheet & Solutions
  • Ordering Numbers Practice Questions & Solutions
  • Ordering Numbers Worksheet & Solutions
• Maths 4 Everyone
  • Counting to Ten First Steps 1 · 2 · 3 · 4
  • Counting to Ten Strengthen 1 · 2
  • Understanding Place Value Strengthen
  • Dienes Blocks First Steps
  • Dienes Blocks Strengthen
  • Dienes Blocks Extend
  • Dienes Bocks Codebreaker
  • Place Value KS2 SATS Questions and Solutions
• Pixi Maths
  • Place Value RAG
  • Place Value Extension Task
• Maths Genie
  • Place Value: Booklet · Worksheet · Solutions · Lesson · Topic page
• Kuta Software
  • Naming decimal places
  • Reading and writing whole numbers
• Access Maths
  • Place Value Fluency & Reasoning Sheet
• MME
  • Ordering Numbers (exam style): Questions | Answers
• @taylorda01
  • Ordering numbers✦ (answers✦, supporting materials✦)
• Starting Points Maths
  • Place Value and Words Match Up · PDF
• Pret Homework (@PammyWhinfield)
  • Place Value (@PammyWhinfield, pptx)
• Pret Homework (@derrybeg73)
  • Reading and Writing Large Numbers (@derrybeg73, pptx)

Dr Frost Video

Key Skill – Order Whole Numbers

K1: Order Integers.

Key Skill – Place Value in Whole Numbers

K2: Know the Place Value of Digits in Whole Numbers.

Key Skill – Read a number up to 1000 in words.

K3: Read a Number up to 1000 in Words.

Key Skill – Write a number up to 1000 in words.

K4: Write a Number up to 1000 in Words.

Key Skill – Read a number greater than 1000 in words.

K5: Read a Number Greater Than 1000 in Words.

Key Skill – Write a number greater than 1000 in words.

K6: Write a Number Greater Than 1000 in Words.

Key Skill – Read positive values off a scale.

K40: Read Positive Values off a Scale.

Key Skill – Read Roman numerals to 100.

K226: Read Roman Numerals to 100.

Dr Frost Slides & Activities

Dr Frost Slides (1-4 & 10)

Extra Questions

• Dr Frost Questions (Short)

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 34g: Read numbers up to 1000 in words and writing in numerals.
• 34h: Read numbers up to 1000 in numerals and writing in words.
• 34l: Read numbers up to 1 million in words and writing in numerals.
• 34m: Read numbers up to 1 million in numerals and writing in words.
• 34q: Read numbers over 1 million in words and writing in numerals.
• 34r: Read numbers over 1 million in numerals and writing in words.
• 35d: Partition a number up to 1000 into ones, tens and hundreds.
• 35e: Describe the place value of a digit of a number up to 1000.
• 35g: Partition a number up to 1 million into powers of 10.
• 35h: Describe the place value of a digit of a number up to 1 million.
• 35j: Partition a number over 1 million into powers of 10.
• 35k: Describe the place value of a digit of a number over 1 million.
• 36c: Compare numbers up to 1000 using inequalities.
• 36e: Order any numbers up to 1000.
• 36f: Compare numbers up to 1 million using inequalities.
• 36g: Order numbers up to 1 million.
• 36h: Compare numbers over 1 million using inequalities.
• 36i: Order numbers over 1 million.
• 14d: Read positive values off a scale with gaps of 2, 3, 5 or 10, starting at any number.
• 58b: Read Roman numerals less than 100.
• 58c: Read Roman numerals less than 500.
• 34: Exam Practice: Numbers above 100
• 35: Exam Practice: Place value above the 100s digit
• 36: Exam Practice: Comparing and ordering positive numbers above 100
• 14: Exam Practice: Reading integer values off a scale
• 58: Exam Practice: Roman numerals

Activities

• Maths 4 Everyone
  • Roman Numerals Years Loop: Set 1 · Set 2

Tutorial Videos

Addition – Corbettmaths

Corbett Maths Addition

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Column Addition & Subtraction ppt
• Theresa Wills connect 4 like product game
• Don Steward
  • Addition, Target 200
• Mr Draper Maths Number Bonds: Scoop and Stretch
  • Number Bonds In Different Representations and Extension
• Go Teach Maths
  • Adding 1 & 2 Digit Integers
  • Adding 2 & 3 Digit Integers
• BossMaths
  • N2a Adding and Subtracting Positive Integers
• Mr Chapman Maths
  • Target 1000 game✦
• MathsBot
  • Number bonds chart✦

Worksheets

• Corbettmaths
  • Addition Practice Questions & Solutions
  • Addition Worksheet & Solutions
• Pixi Maths
  • Addition RAG

Dr Frost Video

Key Skill – Adding Whole Numbers with a Written Method.

K8: Add Integers with a Written Method.

Dr Frost Slides & Activities

Dr Frost Slides (1-4 & 10)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 40b: Add integers up to 3 digit + 3 digit with a written method.
• 40c: Add integers up to 4 digit + 4 digit with a written method.
• 40d: Add integers up to 5 digit + 5 digit with a written method.
• 40e: Add up to 4 integers using a written method.
• 40f: Write and complete a column addition from a worded problem.
• 40g: Solve missing number addition problems with numbers of up to 5 digits.
• 40h: Find missing digits in a column addition.
• 40: Exam Practice: Column addition

Tutorial Videos

Subtraction – Corbettmaths

Corbett Maths Subtraction

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Multi-digit subtraction: Videos & practice

Activities

• Pixi Maths
  • Column Addition & Subtraction ppt
• Andy Lutwyche
  • Pyramid Puzzles – Adding, Subtracting, Multiplying, Dividing Integers
• Don Steward
  • Subtractions✦
  • Track Down Subtractions
  • 3-Digit Subtractions
  • Lost Skills?
  • Squares Inside Rectangles (1) Numbers✦
  • Subtraction Misconception
  • Mental methods of calculation (presentation)✦ (original by Don Steward; copy hosted on Jo Morgan’s Drive)
• Transum
  • Column Method for Addition
• Goal Free Problems
  • Foundation Number set Q5, Q11 (original questions)
• Mr Draper Maths What Bar Models Actually Are
  • Counters Into Bar Models
• Mr Draper Maths Applying Number Bonds to Mental Calculations
  • Applying Number Bonds to Mental Calculations
• Go Teach Maths
  • Subtracting 1 & 2 Digit Integers
  • Adding & Subtracting 1 & 2 Digit Integers
  • Subtracting 2 & 3 Digit Integers
  • Adding & Subtracting 2 & 3 Digit Integers
• Frank Tapson
  • Missing numbers✦
• NRICH
  • Making a Difference✦
  • Add to 200✦
• variationtheory.com
  • Add or subtract?✦
• MathsPad
  • Mental calculation strategies✦
• Ticktock Maths
  • Addition and Subtraction lesson (slides)
• Grid Number (Dave Hewitt & Jonathan Hall)
  • What is the Difference? (interactive) · PDF · Word
  • Similar Sums (interactive) · PDF · Word

Worksheets

• Corbettmaths
  • Subtraction Practice Questions & Solutions
  • Subtraction Worksheet & Solutions
• Maths 4 Everyone
  • Addition and Subtraction KS2 SATS Questions and Solutions
• Pixi Maths
  • Subtraction RAG
  • Addition and Subtraction Codebreaker
• CIMT MEP (online self-checking)
  • Addition and Subtraction
• Maths Genie
  • Addition and Subtraction: Booklet · Worksheet · Solutions · Lesson · Topic page
• Kuta Software
  • Adding and subtracting decimals
• Mr Morley Maths
  • Column Addition and Subtraction: Notes jotter/worksheet · Rehearsal strip · Answers
• Pret Homework (@PammyWhinfield)
  • Addition and Subtraction (@PammyWhinfield, pptx)

Dr Frost Video

Key Skill – Subtracting Whole Numbers with a Written Method (no borrowing)

K9: Subtract Integers with a Written Method.

Key Skills – Subtracting Whole Numbers with a Written Method with Borrowing

K10: Subtract Integers with a Written Method with Borrowing.

Dr Frost Slides & Activities

Dr Frost Slides (5)

Extra Questions

• Dr Frost Questions (with Addition)

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 21a: Fact families with addition and subtraction.
• 21b: Understand addition and subtraction as inverses.
• 39g: Solve multi-step subtraction problems using partitioning and number bonds. (not yet active)
• 39i: Solve multi-step addition and subtraction problems using partitioning and number bonds. (not yet active)
• 41c: Subtract integers up to 3 digit – 3 digit with a written method.
• 41d: Subtract integers up to 3 digit – 3 digit with a written method with exchanging.
• 41e: Subtract integers up to 4 digit – 4 digit with a written method.
• 41f: Subtract integers up to 5 digit – 5 digit with a written method.
• 41g: Write and complete a column subtraction from a worded problem.
• 41h: Solve missing number subtraction problems with numbers of up to 5 digits.
• 41i: Find missing digits in a column subtraction.
• 48a: Work out an addition or subtraction calculation using a given fact and an understanding of place value.
• 360a: Complete a bank statement.
• 39a: Solve single-step addition problems using part-whole models.
• 21: Exam Practice: Properties of addition and subtraction
• 39: Exam Practice: Mental addition and subtraction strategies
• 41: Exam Practice: Column subtraction
• 48: Exam Practice: Related number facts with place value
• 360: Exam Practice: Financial maths (excluding compound interest)

Other Videos & Multimedia

Tutorial Videos

Addition and Subtraction involving Negatives – Corbettmaths

Corbett Maths Addition & Subtraction Involving Negatives

Negatives temperature – Corbettmaths

Corbett Maths Negatives Temperature

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Adding negative numbers: Videos & practice
  • Subtracting negative numbers: Videos & practice

Activities

• Pixi Maths
  • Directed Numbers (With Counters) ppt
  • Directed Numbers (On a Numberline) ppt
  • Number Lines
• Andy Lutwyche
  • Codebreakers
  • Moods – Directed
  • Spiders
  • Directed Numbers Codebreakers
  • (Context) Codebreaker
  • Cold Case
• Math = Love (Sarah Carter)
  • Negative number addition grids
  • Adding & Subtracting Integers Bingo
  • Integer Addition Pyramid puzzles
  • Integer Squares Puzzles
  • Sea of Zeros Work Mat
• Don Steward
  • Four Points
  • Directed Number Grid
  • Directed Number Add and Subtract 2 · 1
  • Directed Number Teaching: Four Articles
  • Temperature Changes
  • Directed Number Arithmogons✦
  • Directed Number Lines
  • Directed Number Practice
  • Triangle Differences
  • Directed Number Equations
  • Going Bananas
  • John Colson's Signed Digit Notation
  • Matter and Antimatter
  • Number Shacks
  • Directed Number Review
  • Directed Number Review✦
  • Directed Number Gaps✦
  • Directed Number Arithmetic Sped Up
  • Taking Away
  • Five Subtract Negative Three
• PhET Interactive Simulations
  • PhET Number Line: Integers Interactive Simulation (embedded below)
• Transum
  • Negative Numbers
  • Boxed In Numbers
• Goal Free Problems
  • Foundation Number set Q8 (original questions) | AQA Practice Set 4 Foundation: Directed numbers
• Go Teach Maths
  • Adding With Negative Numbers
  • Subtracting With Negative Numbers
  • Adding & Subtracting With Negative Numbers
  • Arithmetic With Negative Numbers
• thewessens.net Classroom Apps
  • Directed Number with Algebra Tiles (+ and −) (add and subtract negative numbers with zero pairs)
• MathsPad
  • Always Sometimes Never✦
  • Directed Numbers Puzzle✦
  • Magic Squares✦
  • Thermometers tool (negative numbers)✦
• Desmos
  • Adding integers on a number line✦
• NRICH (student problems)
  • Making sense of positives and negatives✦
• Dr Austin Maths
  • Directed number✦
  • Adding and Subtracting with Negative Numbers Match-Up✦ (answers✦)
  • More Adding and Subtracting with Negative Numbers Match-Up✦ (answers✦)
• MathedUp
  • Adding and subtracting negative numbers✦
• Mr Thompson Maths
  • Ordering Positive & Negative Integers – Grid Challenge✦
• SMILE
  • Adding shifts✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
• Ticktock Maths
  • Adding directed numbers lesson (slides)
• Pondering Planning in Mathematics (Paul Rowlandson)
  • A Shanghai Lesson on Adding Negative Numbers (blog post) · slides
• NCETM
  • NCETM Key Idea: Additive structures for positive and negative integers (PowerPoint)
• Standards Unit (DfES)
  • Standards Unit N8: Using Directed Numbers in Context (Standards Unit, DfES; PDF

Worksheets

• Dr Austin Maths
  • Adding and Subtracting with Negative Numbers Practice Strips (Word | PDF | Answers)
  • Practical Negative Numbers Practice Grid (Word | PDF | Answers)
  • Ordering Negative Numbers Practice Strips (Word | PDF | Answers)
  • Adding and Subtracting with Negative Numbers Match-Up (Word | PDF | Answers)
  • More Adding and Subtracting with Negative Numbers Match-Up (Word | PDF | Answers)
  • Adding and Subtracting with Negative Numbers Name the Film (Word | PDF✦ | Answers✦)
• Corbettmaths
  • Negatives: Addition & Subtraction Worksheet & Solutions
  • Negatives: Real Life Practice Questions & Solutions
  • Negatives: Real Life Applications Worksheet & Solutions
• Maths 4 Everyone
  • Negative Numbers KS2 SATS Questions and Solutions
• Pixi Maths
  • Adding and Subtracting RAG
• CIMT MEP (online self-checking)
  • Negative Numbers
  • Negative Numbers (+/-)
• Maths Genie
  • Negative Numbers: Booklet · Worksheet · Solutions · Lesson · Topic page
• Kuta Software
  • Adding and subtracting integers
• Access Maths
  • Negative Numbers: Start-Direction-Distance GSB Worksheet | Fluency & Reasoning Sheet
• Colin Foster
  • Negative numbers (Instant Maths Ideas chapter)✦
• Kathryn Forster (@DIRT_expert)
  • Negative numbers homework✦ (by Kathryn Forster (@DIRT_expert); copy hosted by Jo Morgan)
• @taylorda01
  • Adding and Subtracting Using Directed Numbers I✦ (answers✦)
  • Adding and Subtracting Using Directed Numbers II✦ (answers✦)
• Mr Morley Maths
  • Directed Numbers: Notes jotter/worksheet
• Pret Homework (@the_chalkface)
  • Negatives (@the_chalkface, pdf)
• Pret Homework (@Mr3142)
  • Directed Numbers (@Mr3142, pptx)

Dr Frost Video

Key Skill – Read negative values off a scale.

K185: Read Negative Values Off a Scale.

Key Skill – Order a mixture of positive and negative numbers.

K186: Order a Mixture of Positive and Negative Numbers.

Key Skill – Add a positive number to any negative number.

K187: Add a Positive Number to Any Negative Number.

Key Skill – Subtract a positive number from a negative number.

K188: Subtract a Positive Number From a Negative Number.

Key Skill – Find the difference between two temperatures.

K228: Find the Difference Between Two Temperatures.

Key Skill – Determine a new temperature after a change.

K229: Determine a New Temperature After a Change.

Key Skill – Add a negative number to any number.

K189: Add a Negative Number to Any Number.

Key Skill – Subtract a negative number from any number.

K190: Subtract a Negative Number From Any Number.

Dr Frost Slides & Activities

Dr Frost Slides (5)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 85f: Read negative integers off a number line.
• 85h: Read a negative decimal off a number line.
• 86a: Compare two integers where one is negative using inequalities.
• 86b: Compare two integers where both are negative using inequalities.
• 86d: Order a set of positive and negative integers.
• 86f: Order a set of positive and negative numbers (including decimals).
• 87a: Read negative numbers from a thermometer.
• 87b: Calculate a new value after a decrease, where the original is positive and the new one is negative.
• 87c: Calculate a new value after an increase, where the original is negative and the new one is positive.
• 87d: Calculate the difference between two values where one is positive and one is negative.
• 87e: Calculate a new value after a decrease, where both the original and new value are negative.
• 87f: Calculate a new value after an increase, where both the original and new value are negative.
• 87g: Calculate the difference between two values where both are negative.
• 155a: Subtract two positive numbers resulting in a negative answer.
• 155b: Add a positive integer to any negative integer.
• 155c: Subtract a positive integer from any negative integer.
• 155d: Add a negative integer to any positive integer.
• 155e: Add a negative integer to any negative integer.
• 155f: Subtract a negative integer from any positive integer.
• 155g: Subtract a negative integer from any negative integer.
• 155h: Determine a missing number in an addition or subtraction with one or more negative numbers.
• 155i: Add and subtract more than two positive and negative numbers.
• 155j: Add decimal numbers where one or both are negative.
• 155k: Subtract decimal numbers where one or both are negative.
• 85: Exam Practice: Counting up and down with negative numbers
• 86: Exam Practice: Comparing and ordering positive and negative numbers
• 87: Exam Practice: Using negative numbers in context
• 155: Exam Practice: Adding or subtracting a mixture of positive and negative numbers

Tutorial Videos

The One Times Table

Two Times Table

Three Times Table

Four Times Table

Five Times Table

Six Times Table

Seven Times Table

Eight Times Table

Nine Times Table

Ten Times Table

Eleven Times Table

Twelve Times Table

Corbett Maths Times Tables

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Basic multiplication: Videos & practice

Activities & Resources

• Pixi Maths
  • Mirigolds of Magic ppt
• Theresa Wills Edition of the Product Game
• Timestables.co.uk
• Don Steward
  • Simple Multiplication Relationships
  • Multiplication Problems, Times Then Add✦
  • Learning Times Tables by Rote
  • Tables Problems
  • Mini Times Tables
• The Chalkface
  • Tables Patterns: Excel · PDF (if macros are blocked: right-click the file › Properties › tick Unblock)
• PhET Interactive Simulations
  • PhET Arithmetic Interactive Simulation (embedded below)
• Transum
  • TablesMaster
• Interactive Maths
  • Times Tables Square: QQI
• Go Teach Maths
  • Multiplying 1 & 2 Digit Integers
  • Multiplying & Dividing 1 & 2 Digit Integers
• thewessens.net Classroom Apps
  • Multiplication Patterns (colour a times-table grid to reveal the patterns of multiples)
• MathsBot
  • Beat the Clock (times tables)✦
• TT Rockstars (Bruno Reddy)
  • Times tables of the week posters✦
• maths-starters.co.uk
  • Tables torture✦

Worksheets

• Corbettmaths
  • Times Tables Worksheet & Solutions
• Pixi Maths
  • Times Tables Practice
• CIMT MEP (online self-checking)
  • Whole Numbers
• Access Maths
  • Times Tables Fill in the Blanks (with Answers)
  • Superhero Sums Times Tables Sheets: 3× | 4× | 5× | 6× | 7× | 8× | 9× | 10× | 11× | 12×
  • Superhero Sums Mixed Times Tables Sheets: 3–5 | 3–6 | 7–10 | 8–10 | 6–12 | 3–10 | 3–12 | 13–15
• Ashley Booth (@MrBoothY6)
  • Times tables knowledge organiser✦
• The Griddle
  • Colourful multiplication grid✦

Dr Frost Video

Dr Frost Slides & Activities

• Timestables Practice Game
• Times Tables & Divide Tables Individual Practice

Topic Tests

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 42i: Know all times tables up to 12×12
• 43a: Fact families with multiplication and division
• 43b: Understand multiplication and division as inverses.
• 43d: Understand that multiplication is commutative and division is not.
• 43g: Determine a missing number in a multiplication or division problem.
• 42: Exam Practice: Times tables up to 12 × 12
• 43: Exam Practice: Properties of multiplication and division

Activities

Tutorial Videos

Multiplication using the Grid Method

Corbett Maths Grid Method

Multiplication column method – Corbettmaths

Corbett Maths Column Method

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Short Multiplication ppt
  • Grid Multiplication ppt
  • Lattice Multiplication ppt
• Andy Lutwyche
  • Worksheets
  • Related Calculations Codebreaker
  • Related Calculations – Spider
  • Defuse The Bomb – Related Calculations
• Miss Konstantine (MathsHKO)
  • Distributive Law and Area
• Don Steward
  • Long Multiplication Teaching✦
  • Multiplication, Long by a Digit✦
  • Multiplication Find the Gaps✦
  • Multiplication of Big Numbers✦
  • Mirror Multiplications
  • Longer Multiplication with Patterns
  • Consecutive Digits in a Multiplication
  • Pattern Answers, Multiplying by a Digit
  • Non-calculator Multiplication Practice
  • Long Multiplication Pattern Answers
  • Lattice Long Multiplication
• Transum
  • Column Method for Multiplication
• Access Maths
  • Deconstructing Numbers (with Possible Answers)
  • Multiplication Fluency & Reasoning Sheet
• Interactive Maths
  • Grid Multiplication: QQI
• Goal Free Problems
  • Foundation Number set Q18 (original questions)
• Mr Draper Maths Exploring Area Models and Grid Method
  • Exploring Area Models and Grid Method Resources
• Mr Draper Maths Reasoning with Subtraction and Multiplication
  • Reasoning With Subtraction and Multiplication
• Go Teach Maths
  • Multiplying 2 & 3 Digit Integers
  • Multiplying & Dividing 2 & 3 Digit Integers
• BossMaths
  • Multiplying positive integers✦
• Frank Tapson
  • Multiplication methods✦
• SMILE
  • Multiplication flags✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
• Ticktock Maths
  • Multiplication lesson (slides)

Worksheets

• Corbettmaths
  • Multiplication Practice Questions & Solutions
  • Multiplication 1 Worksheet & Solutions
  • Multiplication 2 Worksheet & Solutions
  • Multiplication and Division: Textbook 1✦ · 2✦
• Pixi Maths
  • Multiplication Starter
  • Short Multiplication RAG
  • Grid Multiplication RAG
  • Lattice Multiplication RAG
  • Multiplication Extension Task
• CIMT MEP (online self-checking)
  • Long Multiplication
• Kuta Software
  • Multiplying decimals
• MME
  • Long Multiplication (exam style): Questions | Answers
• Mr Morley Maths
  • Multiplication Methods: Notes jotter/worksheet · Rehearsal strip · Answers

Dr Frost Video

Key Skill – Multiply any whole number by a single-digit whole number

K12: Multiply Any Integer by a Single-Digit Integer.

Key Skill – Multiply any Whole Number by a 2 or 3-digit Whole Number

K14: Multiply Any Integer by a 3-Digit Integer.

Key Skill – Multiply a 2-digit by a 2-digit integer.

K706: Multiply a 2-Digit by a 2-Digit Integer.

Dr Frost Slides & Activities

• Dr Frost Slides (13)

Topic Test

• Advanced Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 47a: Understand the Distributive Law.
• 47b: Understand the area model for multiplication.
• 47c: Use the distributive law to complete mental multiplication calculations.
• 66a: Multiply a 2-digit integer (>12) by a single-digit integer.
• 66b: Multiply a 3-digit integer by a single-digit integer.
• 66c: Multiply integers with 4 or more digits by a single-digit integer.
• 66d: Determine missing digits in short multiplication calculations.
• 67a: Multiply a 2-digit integer by a 2-digit integer.
• 67b: Multiply a 3-digit integer by a 2-digit integer.
• 67c: Multiply a 4-digit integer by a 2-digit integer.
• 67d: Multiply integers with more than 4 digits by a 2-digit integer.
• 67e: Multiply any integer by a 3-digit integer.
• 67f: Determine missing digits in long multiplication calculations.
• 47: Exam Practice: The Distributive Law and the area model for multiplication
• 66: Exam Practice: Short column multiplication
• 67: Exam Practice: Long column multiplication

Further Practice

• Practise Questions

Other Video & Multimedia

Multiplication end number – Corbettmaths

Corbett Maths Multiplication End Number

Worksheets

• Corbettmaths
  • Multiplication: End Number Practice Questions & Solutions
  • Multiplication: End Number Worksheet & Solutions

Tutorial Videos

'divide (mentally)'

'divide (mentally)' by mathsontrack

Division using Partitioning

Division using Partitioning by The Cambridge Tutor Service: English & Maths Help

Dividing by 10, 100 and 1000 – Primary

Dividing by 10, 100 and 1000 – Primary by corbettmaths

How To Divide Numbers In Your Head – Math For Beginners

How To Divide Numbers In Your Head – Math For Beginners by The Organic Chemistry Tutor

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Basic division: Videos & practice

Activities & Resources

• Don Steward
  • Dividing by 5
• Mr Draper Maths Supercalifragilistic First Time I Taught Quotient
  • Dividend, Divisor & Quotient
• Go Teach Maths
  • Dividing 2 Digit Integers
• BossMaths
  • N2c Dividing with Positive Integers (Includes dividing by 10, 100, 1000)

Worksheets

• CIMT MEP (online self-checking)
  • Mental Division

Dr Frost Video

Download Slides

• Times Tables & Divide Tables Individual Practice

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 49a: Divide a 2-digit number by a 1-digit number by partitioning using place value. (not yet active)
• 49b: Divide a number with >3 digits by a 1-digit number by partitioning using place value.
• 49c: Divide a 2-digit number by a 1-digit number by partitioning using flexible partitioning. (not yet active)
• 49d: Divide a number with >3 digits by a 1-digit number by partitioning using flexible partitioning. (not yet active)
• 49: Exam Practice: Dividing a large number by a 1 digit number using partitioning

Enrichment Video

Why can't you divide by zero? – TED-Ed

TED-Ed: Why can't you divide by zero?

Worksheets

• Area and Volume by rquayle21 (TES Account Required)

Tutorial Videos

Divisibility Tricks – Numberphile

Numberphile Divisibility Tricks

Online Platforms (with Videos & Exercises)

Activities & Resources

• Miss Konstantine 3 Divisibility Puzzles 1 & 2 original page here
• Pixi Maths
  • Divisibility Rules ppt
• Math = Love (Sarah Carter)
  • Divisibility puzzle
  • Divisibility Rules activities
  • Divisibility Rules chart
  • Divisibility Rules Dice Game
  • Is It Possible? Divisibility puzzle
• Don Steward
  • Divisibility Rules
• TES
  • Tests for Divisibility
• Transum
  • Delightfully Divisible
  • Divisibility Test
• NZ Maths
  • Digit Challenge
• Go Teach Maths
  • Divisibility Rules
• Ticktock Maths
  • Divisibility Rules Enrichment lesson (slides)

Worksheets

• Pixi Maths
  • Divisibility Rules RAG
• Kuta Software
  • Divisibility and factors

Dr Frost Video

Key Skill – Determine which numbers divide into a given number.

K222: Determine Which Numbers Divide Into a Given Number.

Download Slides

Dr Frost Slides (2 Only)

Activity

Why to Avoid FOIL

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 53a: Identify a factor of a number.
• 163a: Know if a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10.
• 163b: Know if a number is divisible by 11.
• 163c: Determine an unknown digit to make a number divisible by 3, 4, 6, 8 or 9.
• 163d: Know if a number is divisible by a large number by combining divisibility rules.
• 53: Exam Practice: Factors of a number
• 163: Exam Practice: Divisibility laws from 3 to 11 and dealing with larger divisors

Extra Videos

Worksheets

• Area and Volume by rquayle21 (TES Account Required)

Tutorial Videos

Division – Corbettmaths

Corbett Maths Division

Long Division – Corbettmaths

Corbett Maths Long Division

Division with remainders – Corbettmaths

Corbett Maths Division with Remainders

Online Platforms (with Videos & Exercises)

Activities & Resources

• Maths 4 Everyone
  • Multiplication and Division KS2 SATS Questions and Solutions
  • Worded Questions 1 KS2 SATS Questions and Solutions
  • Worded Questions 2 KS2 SATS Questions and Solutions
• Pixi Maths
  • Short Division ppt
• Andy Lutwyche
  • Codebreaker
  • Two Methods
• Don Steward
  • Repunit Numbers
  • Rerun Numbers
  • Division✦
  • Two Digit Number, Short Division
  • Dividing by 7
  • Division Cycling
• Transum
  • Short Division
  • Long Division
• Goal Free Problems
  • Foundation Number set Q19 (original questions) | Higher Number set Q4 (original questions)
• Go Teach Maths
  • Dividing 2 & 3 Digit Integers
• Ticktock Maths
  • Division lesson (slides)

Worksheets

• Corbettmaths
  • Division Practice Questions & Solutions
  • Division Worksheet & Solutions
  • Division: Remainders Worksheet & Solutions
• Pixi Maths
  • Short Division RAG
  • Division Pair Task
• CIMT MEP (online self-checking)
  • Division Methods
• Access Maths
  • Division Fluency & Reasoning Sheet
• MME
  • Long Division (exam style): Questions | Answers
• Frank Tapson
  • Division notes and questions✦
  • Crossums✦
• Mr Morley Maths
  • Division: Notes jotter/worksheet

Dr Frost Video

Key Skill – Divide any Whole Number by a Single-Digit Whole Number

K16: Divide Any Integer by a Single-Digit Integer.

Key Skill – Divide any Integer by a Double-Digit Integer.

K17: Divide Any Integer by a Double-Digit Integer.

Download Slides

Dr Frost Slides (2 Only)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 89a: Use short division to divide a two-digit integer by a single-digit integer, with an integer answer and no remainders.
• 89b: Use short division to divide a three-digit or four-digit integer by a single-digit integer, with an integer answer and no remainders.
• 90a: Use long division to divide any integer by a single-digit integer, with an integer answer and no remainders.
• 90b: Use long division to divide any integer by a double-digit integer, with an integer answer and no remainders.
• 91a: Divide a two-digit integer by a single-digit integer, with integer remainder.
• 91b: Divide a three-digit or four-digit integer by a single-digit integer, with integer remainder.
• 91c: Divide any integer by a double-digit integer, with integer remainder.
• 92a: Divide any integer by a single-digit integer, giving the remainder as a fraction.
• 92b: Divide any integer by a single-digit integer, giving the remainder as a decimal.
• 92c: Divide any integer by a double-digit integer, giving the remainder as a fraction.
• 92d: Divide any integer by a double-digit integer, giving the remainder as a decimal.
• 89: Exam Practice: Completing short divisions with no remainders
• 90: Exam Practice: Completing long divisions with no remainders
• 91: Exam Practice: Completing divisions with remainders as integers
• 92: Exam Practice: Completing divisions with remainders as fractions and decimals

Past Paper Practice

• IGCSE Past Paper Questions (WW)

Tutorial Videos

Multiplying Negatives – Corbettmaths

Corbett Maths Multiplying Negatives

Dividing Negatives – Corbettmaths

Corbett Maths Dividing Negatives

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Directed Numbers (With Counters) ppt
  • Directed Numbers (On a Numberline) ppt
  • Number Lines
• Math = Love (Sarah Carter)
  • Negative number multiplication grids
  • Integer Operations Flash Cards
  • Integer Operations Posters
  • Integer Operations Foldable
• Don Steward
  • Two Types of Sum
  • Directed Number Product and Sum Tasks
  • Directed Number Target
  • Directed Number from a French Book
  • Multiplying Directed Numbers✦
  • Geometry Steering Directed Number Results✦
• Go Teach Maths
  • Multiplying & Dividing With Negative Numbers
• thewessens.net Classroom Apps
  • Directed Number with Algebra Tiles (× and ÷) (multiply and divide negative numbers with tiles)
• Jess (@FortyNineCubed)
  • Minimally different: multiplying negative numbers✦
• Mr Thompson Maths
  • Multiplying / Dividing Negatives – Reverse Multiplication Grids✦
• #TypedUp
  • Products of directed numbers✦ (typed up by @littlemissdwyer)
• Ticktock Maths
  • Multiplying and Dividing Directed Numbers lesson (slides)
• NCETM
  • NCETM Key Idea: Multiplicative structures for positive and negative integers (PowerPoint)
• Standards Unit (DfES)
  • Standards Unit N9: Evaluating Directed Number Statements (Standards Unit, DfES; PDF

Worksheets

• Dr Austin Maths
  • Multiplying and Dividing with Negative Numbers Practice Strips (Word | PDF | Answers)
  • Mixed Negative Numbers Practice Strips (Word | PDF | Answers)
  • Decode the Joke (Word | PDF | Answers)
  • Crack the Code (Word | PDF | Answers)
  • Multiplying with Negative Numbers Odd One Out (Word | PDF✦ | Answers✦)
  • Multiplying with Negative Numbers Crack the Code (Word | PDF✦ | Answers✦)
  • Dividing with Negative Numbers Name the Film (Word | PDF✦ | Answers✦)
  • True or False (Word | PDF | Answers)
• Corbettmaths
  • Arithmetic with Negatives Practice Questions & Solutions
  • Negatives: Multiplication & Division Worksheet & Solutions
• Pixi Maths
  • Directed Numbers Timestables Grid
  • Directed Numbers Codebreaker
• Self Marking Sheets by Phil Rhodes
  • Multiplying Negatives Excel File
• CIMT MEP (online self-checking)
  • Multiplication & Division
• Miss Konstantine (MathsHKO)
  • Negative Numbers
• Kuta Software
  • Dividing integers
  • Multiplying integers
• FortyNineCubed
  • Multiplying negative numbers minimally different questions✦
  • Dividing negative numbers minimally different questions✦
• @taylorda01
  • Multiplying & Dividing Directed Numbers✦ (answers✦, supporting material✦)
• Starting Points Maths
  • Multiplication of Negative Numbers

Dr Frost Video

Key Skill – Multiply a mixture of positive and negative numbers.

K191: Multiply a Mixture of Positive and Negative Numbers.

Key Skill – Division with a mixture of positive and negative numbers.

K192: Division With a Mixture of Positive and Negative Numbers.

Download Slides

Dr Frost Slides (2 Only)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 156a: Multiply a positive integer and a negative integer.
• 156b: Multiply two negative integers.
• 156c: Divide a positive integer and a negative integer.
• 156d: Divide two negative integers.
• 156e: Determine a missing number in a multiplication or division with one or more negative numbers.
• 156f: Complete a multiplication grid involving negative integers.
• 156g: Multiply decimal numbers where one or both are negative.
• 156h: Multiply fractions where one or both are negative.
• 156i: Divide decimal numbers where one or both are negative.
• 156j: Divide fractions where one or both are negative.
• 156k: Determine two whole numbers which have a certain sum and a certain product, where at least one of the numbers is negative.
• 156l: Multiply or divide more than two positive and negative numbers.
• 156m: Calculate expressions involving negative numbers using order of operations (no powers or roots).
• 157c: Calculate an integer power of a negative integer. (not yet active)
• 165c: Calculate an integer power of a positive fraction.
• 165d: Calculate an integer power of a negative fraction.
• 156: Exam Practice: Multiplying or dividing a mixture of positive and negative numbers
• 157: Exam Practice: Roots and further powers
• 165: Exam Practice: Multiplying proper fractions requiring simplification

Past Paper Practice

• IGCSE Past Paper Questions (WW)

Tutorial Videos

Powers Indices – Corbettmaths

Corbett Maths Powers Indices

Square Numbers – Corbettmaths

Corbett Maths Square Numbers

Squaring a Number – Corbettmaths

Corbett Maths Squaring a Number

Cube Numbers – Corbettmaths

Corbett Maths Cube Numbers

Cubing a Number – Corbettmaths

Corbett Maths Cubing a Number

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Introduction to Indices ppt
• Andy Lutwyche
  • Defuse The Bomb
• Miss Konstantine (MathsHKO)
  • Square Numbers
• Math = Love (Sarah Carter)
  • Exponents chart (powers 2-9)
• Don Steward
  • Difference Between Powers
  • Some Fairly High Powers
  • Powers of 9
  • Early Arithmetic Test
  • Powers of 4
  • Powers of 3
  • Trees, Powers of 2
  • Powers of 5
  • Smaller and Smaller
  • Powers of 2
• Mr Draper Maths Powers and Roots
  • Powers and Roots Resources
• Go Teach Maths
  • Introduction to Indices Notation
  • Square Numbers
  • Cube Numbers
  • Indices & Roots Questions With Integers
• Jo Morgan
  • Index notation – four activities✦
• andytodd
  • Square numbers✦

Worksheets

• Dr Austin Maths
  • Squares, Cubes and Roots Practice Strips (Word | PDF | Answers)
• Corbettmaths
  • Indices Practice Questions & Solutions
  • Indices Worksheet & Solutions
  • Squaring Numbers Worksheet & Solutions
  • Cubing a Number Worksheet & Solutions
• Maths 4 Everyone
  • Square Numbers First Steps
  • Square Numbers Strengthen
  • Square Numbers Extend
  • Squares and Cubes First Steps
  • Squares and Cubes Strengthen
  • Powers of Two and Ten First Steps
  • Powers of Two and Ten Strengthen
• CIMT MEP (online self-checking)
  • Index Notation
  • Index Notation
• Maths Genie
  • Powers and Roots: Booklet · Worksheet · Solutions · Lesson · Topic page
• MME
  • Powers & Roots (exam style): Questions | Answers
• @taylorda01
  • Squares, cubes and roots✦ (answers✦)
• Pret Homework (@Mr3142)
  • Powers and Roots (@Mr3142, docx)

Dr Frost Video

Key Skill – Calculate Powers of a Number.

K18: Calculate Powers of a Number.

Key Skill – Identify Square Numbers

K22: Identify Square Numbers.

Key Skill – Identify Cube Numbers

K23: Identify Cube Numbers.

Dr Frost Slides & Activities

Dr Frost Slides (1-4 & 10)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 88a: Use power notation to describe a repeated multiplication.
• 88b: Identify square numbers.
• 88c: Identify cube numbers.
• 88d: Calculate squares or cubes of a number.
• 157a: Recognise powers of 2, 3, 4, 5 and 10.
• 157b: Calculate an integer power of a positive integer.
• 157j: Determine the unknown power in an expression involving positive indices, given its numeric equivalent.
• 157k: Determine the unknown base in an expression involving positive indices, given its numeric equivalent.
• 88: Exam Practice: Power notation and calculate simple powers, e.g. squares, cubes
• 157: Exam Practice: Roots and further powers

Tutorial Videos

Square Root – Corbettmaths

Corbett Maths Square Root

Cube root – Corbettmaths

Corbett Maths Cube Root

Online Platforms (with Videos & Exercises)

Activities & Resources

Worksheets

• Dr Austin Maths
  • Squares, Cubes and Roots Practice Strips (Word | PDF | Answers)
  • Squares, Cubes and Roots Crack the Code (Word | PDF | Answers)
  • Squares, Cubes and Roots Decode the Joke (Word | PDF✦ | Answers✦)
• Corbettmaths
  • Square Numbers & Roots Practice Questions & Solutions
  • Square Root Worksheet & Solutions
  • Cube Numbers & Roots Practice Questions & Solutions
  • Cube Root Worksheet & Solutions
• Maths 4 Everyone
  • Roots of Squares and Cubes First Steps
  • Roots of Squares and Cubes Strengthen
• Miss Konstantine (MathsHKO)
  • Squares and Roots Using Area
• Kuta Software
  • Square roots

Dr Frost Video

Key Skill – Find the square root of a number.

K19: Find the Square Root of a Number.

Key Skill – Find the cube root of a number using a calculator.

K20: Find the Cube Root of a Number Using a Calculator.

Download Slides

Dr Frost Slides (3-5)

Topic Test

• Advanced Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 157d: Find a square root of a square number.
• 157e: Estimate the square root of a non-square number.
• 157f: Find the cube root of a cube number.
• 157g: Find the square or cube root of any number using a calculator.
• 157h: Calculate the nth root of an integer for n ≥ 4, using a calculator.
• 165b: Square and square root fractions.
• 157: Exam Practice: Roots and further powers
• 165: Exam Practice: Multiplying proper fractions requiring simplification

Further Practice

• Practise Questions

Videos & Other Multimedia