Prior Content: Basic Operations +-x/, Using a Calculator/ BIDMAS
Possible Next Steps: Rounding, Standard Form, Fractions, Percentages, Recurring Decimals, Basic Probability, Multiple Events, Tree Diagrams, Sets
Contents
- 1.1 Place Value & Ordering Decimals
- 1.2 Decimals to Fractions
- 1.3 Decimals to Percentages
- 2.1 Adding Decimals
- 2.2 Subtracting Decimals
- 3.1.1 Multiplying and Dividing by Powers of 10 (No Indices)
- 3.1.2 Multiplying and Dividing by Powers of 10 (With Indices)
- 3.1.3 Multiplying and Dividing by Powers of 10 (Adjusting Calculations)
- 3.2 Multiplying Decimals
- 3.3 Dividing Decimals
- 4.1 Questions in Context (FDPR)
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Place Value & Ordering Decimals
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Ordering Decimals
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Adding, Subtracting and Ordering Decimals ppt (Slides 11 Onwards)
- WW
- Ordering Powerpoint and Starter Sheet (Word or PDF)
- Interactive Numberline (TES Account Required) & Autograph Program on Computer. Ability to ‘zoom in’ on the numberline.
- Don Steward
- Goal Free Problems
- Go Teach Maths
- BossMaths
- Desmos
- Standards Unit N1 – Ordering Fractions & Decimals (UK) (by Ben Sparks: digital version of the Standards Unit N1 card sort)
- White Rose Maths
- Mr Thompson Maths
- Ticktock Maths
- NCETM
- NCETM Key Idea: Recognising place value in decimals (PowerPoint)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Ordering Decimals Practice Questions & Solutions
- Ordering Decimals Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- MathsPad
- Mr Morley Maths
- Ordering Fractions and Decimals: Notes jotter/worksheet
Dr Frost Resources
Dr Frost Video
K27: Know the Place Value of Digits in Decimal Numbers.
K28: Order Decimals.
K41: Place a Decimal Number on a Number Line.
K42: Write Down a Decimal Number Placed on a Number Line.
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
- 69a: Know the place value of digits in decimal numbers up to 3 decimal places.
- 69u: Know the place value of digits in decimal numbers beyond 3 decimal places.
- 69p: Place numbers with one decimal place on a number line.
- 69q: Place numbers with two decimal places on a number line.
- 69r: Place numbers with three decimal places on a number line.
- 69s: Write down a decimal number as shown on a number line.
- 69t: Read a decimal value off a scale split into powers of ten.
- 71c: Compare decimals with up to 2 decimal places using inequalities.
- 71d: Order decimals with up to 2 decimal places.
- 71e: Compare decimals with up to 3 decimal places using inequalities.
- 71f: Order decimals with up to 3 decimal places.
- 71g: Compare decimals with more than 3 decimal places using inequalities.
- 71h: Order decimals with more than 3 decimal places.
- 69: Exam Practice: Decimal place value, including basic fraction and decimal equivalence
- 71: Exam Practice: Compare decimals
Extension Materials
Online Platforms
- Khan Academy
- Decimal place value: Videos & practice
1.2 Decimals to Fractions
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Decimals to Fractions
Corbett Maths Decimals to Fractions Calculator
Activities & Resources
- Boss Maths N10a✦
- Go Teach Maths
- (With Calculator) Tarsia ppt/ Small PDF/ Standard PDF
- ((With Calculator) Noughts & Crosses
- Tarsia ppt/ Small PDF/ Standard PDF
- FDP Connect 3
- Converting Decimals to Fractions
- Converting Decimals to Fractions & Percentages
- Fraction, Decimal & Percentage Equivalence
- Maths 4 Everyone
- MathsPad Fractions Decimals and Percentages Matching✦
- MisterMConnolly Whole One Search✦ (TES Account Required)
- Pixi Maths
- Transum
- Fraction Decimal Pairs Activities
- Loopy Lake
- FDP Table
- FDP Table Exercise 1, 2, 3
- interactive-maths.com Fraction-Decimal Conversion Drill
- Don Steward
- thewessens.net Classroom Apps
- One Hit Wonder (game converting between fractions, decimals and percentages)
Worksheets
- Andy Lutwyche
- Dr Austin Maths FDP Conversions Practice Strips (Word | PDF | Answers)
- The Chalk Face
- cimt.org
- Corbettmaths
- Decimals to Fractions Practice Questions & Solutions
- Decimals to Fractions Worksheet & Solutions
- FDP Conversions Practice Questions & Solutions
- FDP Key Equivalents Worksheet & Solutions
- FDP Mixture Worksheet & Solutions
- FDP Ordering Practice Questions & Solutions
- Go Teach Maths
- Kuta Software Fractions and Decimals
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Decimals to Fractions Excel File
- FDP conversions (with thanks to Jake Hardy) Excel File
- CIMT MEP (online self-checking)
- @taylorda01
Dr Frost Resources
Dr Frost Video
Whole Topic Video (All Conversions)
K54: Convert a Non-Recurring Decimal to a Fraction.
K58: Order a Mixture of Fractions, Decimals and Percentages.
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
- 69h: Convert from decimal to fraction form for tenths.
- 69i: Convert from decimal to fraction form for hundredths.
- 69j: Convert from decimal to fraction form for thousandths.
- 69l: Convert a decimal with 2 decimal places to a fraction.
- 69m: Convert a decimal with 3 decimal places to a fraction.
- 172d: Convert from decimals to fractions in their simplest form.
- 174f: Convert a non-recurring decimal to a mixed number or improper fraction.
- 175b: Compare a given fraction and decimal using inequalities.
- 175d: Order a mixture of fractions, decimals and percentages.
- 69: Exam Practice: Decimal place value, including basic fraction and decimal equivalence
- 172: Exam Practice: Converting between terminating decimals, fractions and percentages less than 100%
- 174: Exam Practice: Converting between terminating decimals, fractions and percentages greater than 100%
- 175: Exam Practice: Comparing and ordering fractions, decimal and percentages
Extension Materials
Online Platforms
- Khan Academy
- Converting fractions & decimals: Videos & practice
1.3 Decimals to Percentages
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Decimals to Percentages
- Go Teach Maths
- Tarsia ppt/ Small PDF/ Standard PDF
- FDP Connect 3
- MathsPad Fractions Decimals and Percentages Matching✦
- MisterMConnolly Whole One Search✦ (TES Account Required)
- Pixi Maths
- Transum
Worksheets
- Andy Lutwyche
- Dr Austin Maths FDP Conversions Practice Strips (Word | PDF | Answers)
- The Chalk Face
- cimt.org
- Corbettmaths
- Decimals to Percentages Practice Questions & Solutions
- Decimals to Percentages Worksheet & Solutions
- FDP Conversions Practice Questions & Solutions
- FDP Key Equivalents Worksheet & Solutions
- FDP Mixture Worksheet & Solutions
- FDP Ordering Practice Questions & Solutions
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- FDP conversions (with thanks to Jake Hardy) Excel File
- Pret Homework (@mathsteague)
- Decimals to Percentages (@mathsteague, pptx)
Dr Frost Resources
Dr Frost Video
Whole Topic Video (All Conversions)
K55: Convert a Non-Recurring Decimal to a Percentage.
K58: Order a Mixture of Fractions, Decimals and Percentages.
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
- 106b: Convert a decimal with 1 decimal place to a percentage.
- 106c: Convert a decimal with 2 decimal places to a percentage.
- 172l: Convert a decimal with 3 or more decimal places to a percentage.
- 174a: Convert a decimal with up to 3 decimal places to a percentage greater than 100%.
- 175a: Compare a given decimal and percentage using inequalities.
- 175d: Order a mixture of fractions, decimals and percentages.
- 106: Exam Practice: Basic percentage and decimal equivalence
- 172: Exam Practice: Converting between terminating decimals, fractions and percentages less than 100%
- 174: Exam Practice: Converting between terminating decimals, fractions and percentages greater than 100%
- 175: Exam Practice: Comparing and ordering fractions, decimal and percentages
Extension Materials
Online Platforms
- Khan Academy
- Converting fractions, decimals & percentages: Videos & practice
Activities
2.1 Adding Decimals
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Adding Decimals
Online Platforms (with Videos & Exercises)
Activities & Resources
- Six digits✦ – Median Don Steward
- Pixi Maths
- Adding, Subtracting and Ordering Decimals ppt (Slides 1-10)
- Don Steward
- Transum
- Goal Free Problems
- Go Teach Maths
- BossMaths
- N2d Applying the Four Operations to Decimals✦ (Covers all four operations with decimals)
- White Rose Maths
- Ticktock Maths
- NCETM
Worksheets
- Corbettmaths
- Adding & Subtracting Decimals Practice Questions & Solutions
- Adding Decimals Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Access Maths
- @taylorda01
- Pret Homework (@PixiMaths)
- Adding & Subtracting Decimals (@PixiMaths, pptx)
Dr Frost Resources
Dr Frost Video
K31: Add Two Decimal 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
Extension Materials
Online Platforms
- Khan Academy
- Adding decimals: Videos & practice
2.2 Subtracting Decimals
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Subtracting Decimals
Online Platforms (with Videos & Exercises)
- Khan Academy
- Subtracting decimals: Videos & practice
Activities
- Pixi Maths
- Adding, Subtracting and Ordering Decimals ppt (Slides 1-10)
- Don Steward
- Goal Free Problems
- Go Teach Maths
Worksheets
- Corbettmaths
- Adding & Subtracting Decimals Practice Questions & Solutions
- Subtracting Decimals Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
Dr Frost resources
Dr Frost Video
K32: Subtract Two Decimal Numbers.
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
- 74c: Subtract two decimal numbers with the same number of decimal places, up to thousandths.
- 74d: Subtract two decimal numbers with a different number of decimal places, up to thousandths.
- 74e: Subtract a decimal from an integer.
- 74f: Add and subtract multiple decimals.
- 74: Exam Practice: Adding and subtracting decimal numbers
EXTENSION MATERIALS
3.1.1 Multiplying and Dividing by Powers of 10 (No Indices)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Mr Dull
Corbett Maths Multiplication by 10, 100 and 1000
Corbett Maths Division by 10, 100 & 1000
Online Platforms (with Videos & Exercises)
- Khan Academy
- Multiplying & dividing decimals by 10, 100 & 1000: Videos & practice
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- Pixi Maths
- Place Value ppt (Slides 11 Onwards)
- Andy Lutwyche
- Don Steward
- Transum
- Interactive Maths
- Powers of Ten: QQI | 10QQI | Count Down | Relay | Bingo
- Powers of Ten: Worksheets
- Mr Draper Maths Multiplying and Dividing by Powers of Ten
- Richard Davies (ptarmigan)
- SMILE
- Powers of 10 flags✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- Ticktock Maths
Worksheets
- Corbettmaths
- elasticmaths Worksheets including links between multiplying by powers of 10 and dividing by decimals (TES Account Required)
- Pixi Maths
- WW Decimal Movement fill in the table Word or PDF
- Self Marking Sheets by Phil Rhodes
- ×÷ by 10, 100, 1000 Excel File
- CIMT MEP (online self-checking)
- @taylorda01
- Mr Morley Maths
- Multiply and Divide by Powers of 10: Notes jotter/worksheet
- Pret Homework (@the_chalkface)
- Powers of 10 (@the_chalkface, pdf)
Dr Frost resources
Dr Frost Video
Whole Topic Video
K11: Multiply Integers by 10, 100 or 1000.
K15: Divide Integers by 10, 100 or 1000.
K29: Multiply Decimals by Positive Powers of 10.
K30: Divide Decimals by Positive Powers of 10.
K37: Multiply Decimals by Negative Powers of 10.
K38: Divide Decimals by Negative Powers of 10.
Exam Practice
- Exam Practice (first 4 Q’s only)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 45a: Multiply integers by 10.
- 45b: Multiply integers by 100 or 1000.
- 45c: Divide integers by 10.
- 45d: Divide integers by 100 or 1000.
- 45e: Multiply and divide integers by powers of 10, greater than 1000.
- 45f: Multiply integers by multiples of 10, 100 and 1000.
- 45g: Divide integers by multiples of 10, 100 and 1000.
- 70b: Multiply decimals with up to 3 decimal places by 10, 100 or 1000.
- 70c: Multiply decimals with up to 3 decimal places by positive powers of 10, greater than 1000.
- 70d: Divide integers by 10, 100 or 1000, to give an answer with up to 3 decimal places.
- 70e: Divide decimals with 1 decimal place by 10, 100 or 1000.
- 70f: Divide decimals with up to 3 decimal places by 10, 100 or 1000.
- 70g: Divide integers and decimals by positive powers of 10, greater than 1000.
- 123b: Multiply decimals by 0.1, 0.01, and 0.001.
- 125c: Divide numbers by the decimal equivalent of a unit fraction.
- 45: Exam Practice: Multiplying and dividing integers by 10, 100, 1000, etc.
- 70: Exam Practice: Multiplying and dividing by 10, 100, 1000, including decimals
- 123: Exam Practice: Multiplying decimal numbers
- 125: Exam Practice: Dividing decimal numbers
Further Practice
EXTENSION MATERIALS
3.1.2 Multiplying and Dividing by Powers of 10 (With Indices)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Multiplying by Power of Ten
Corbett Maths Division by Powers of 10
Michael Altman Multiply & Divide by Powers of Ten
Online Platforms (with Videos & Exercises)
- Khan Academy
- Multiplying & dividing by powers of 10: Videos & practice
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
Worksheets
- Corbettmaths
- elasticmaths Worksheets including links between multiplying by powers of 10 and dividing by decimals (TES Account Required)
- WW Decimal Movement fill in the table Word or PDF
Dr Frost resources
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
EXTENSION MATERIALS
3.1.3 Multiplying and Dividing by Powers of 10 (Adjusting Calculations)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Place Value Operations
Online Platforms (with Videos & Exercises)
Activities & Resources
- Mathspad interactive lesson (really nice activity on slide 3) and worksheet✦
- Pixi Maths
Worksheets
- Corbettmaths
- Place Value: Operations Practice Questions & Solutions
- Place Value: Operations Worksheet & Solutions
- Pixi Maths
- Starting Points Maths
Dr Frost resources
Dr Frost Video
K39: Work out a Calculation Using a Given Fact Involving Decimals.
Exam Practice
- Exam Practice (covering all Multiplying and Dividing by Powers of 10)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 123a: Calculate a decimal multiplication using a given multiplication fact and knowledge of place value.
- 125a: Calculate a decimal division using a given division fact.
- 125b: Calculate a decimal division using a given multiplication fact.
- 128a: Work out a related multiplication using a given multiplication fact, where one number is scaled.
- 128b: Work out a related division using a given division fact, where one number is scaled.
- 128c: Work out a related division using a given multiplication fact, where one number is scaled.
- 176a: Work out a related multiplication using a given multiplication fact, where both numbers are scaled.
- 176b: Work out a related division using a given division fact, where both numbers are scaled.
- 176c: Work out a related division using a given multiplication fact, where both numbers are scaled.
- 123: Exam Practice: Multiplying decimal numbers
- 125: Exam Practice: Dividing decimal numbers
- 128: Exam Practice: Multiplicative scaling with integer scale factors and ratio notation
- 176: Exam Practice: Multiplicative scaling and numerical proportion relationships
Further Practice
EXTENSION MATERIALS
3.2 Multiplying Decimals
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Mathsongs by Numberrock
Courtesy of Maths Genie
Corbett Maths Multiplying Decimals
WW
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- Khan Academy
- Multiplying decimals: Videos & practice
Activities & Resources
- iknowit.com interactive questions
- danadockaglory slides, worksheet and tarsia jigsaw puzzles (TES Account Required)
- Go Teach Maths treasure trove of activities & ppts
- Pixi Maths
- Andy Lutwyche
- Don Steward
- Transum
- Goal Free Problems
- Go Teach Maths
- Dr Austin Maths
- Ticktock Maths
- Multiplying Decimals lesson (slides)
- NCETM
- NCETM Key Idea: Fluently multiply with decimals (PowerPoint)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Decimals: Multiplication & Division Practice Questions & Solutions
- Multiplying Decimals Worksheet & Solutions
- ogara66 really nice first worksheet linking in from powers of 10 and second worksheet not doing multiplication, but just placing decimal (TES Account Required)
- Pixi Maths
- krisgreg decimal x whole number worksheet and extra questions in context (TES Account Required)
- mathsisfun.com
- @taylorda01 Multiplying decimals✦ (answers✦)
- Self Marking Sheets by Phil Rhodes
- Multiplying Decimals Excel File
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Access Maths
- Starting Points Maths
- Mr Morley Maths
- Multiplying Decimals: Notes jotter/worksheet · Rehearsal strip · Answers
- Pret Homework (Rachel Mahoney)
- Multiplying Decimals (Rachel Mahoney, pptx)
Dr Frost resources
Dr Frost Video
Whole Topic Video
K33: Multiply a Decimal by an Integer.
K34: Multiply a Decimal by a Decimal.
Dr Frost Slides & Activities
- Dr Frost Slides (4-6)
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 122a: Multiply a decimal by an integer.
- 123c: Multiply decimals using equivalent fractions.
- 123d: Multiply decimals by considering a simple related integer multiplication, then use place value to scale the answer.
- 123e: Multiply decimals by considering a related column multiplication, then use place value to scale the answer.
- 122: Exam Practice: Multiplying a decimal (up to 2dp) by an integer
- 123: Exam Practice: Multiplying decimal numbers
Further Practice
EXTENSION MATERIALS
3.3 Dividing Decimals
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Dividing Decimals by Whole Numbers
Corbett Maths Division by Decimals
The Organic Chemistry Tutor
Online Platforms (with Videos & Exercises)
- Khan Academy
- Lesson (From dividing whole numbers to get a decimal, to dividing two decimals)
Activities
- Decimal multiplication and division activity✦ – Median Don Steward
- 3.142 variations✦ – Median Don Steward (all methods) A must if near Pi day
- Go Teach Maths treasure trove of activities & ppts
- Dividing: 1 digit · 2 digit
- Multiplying & Dividing (2 digit)
- Multiplying & Dividing (2 digit)
- mercbenson codebreaker (TES Account Required) (Multiplying & Dividing)
- Pixi Maths
- Go Teach Maths
- Mr Thompson Maths
- Ticktock Maths
- Dividing by Decimals lesson (slides)
Worksheets
- Dr Austin Maths
- Corbettmaths
- jmathsresources worksheet (TES Account Required)
- mathworksheets4kids
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Dividing with Decimals Excel File
- CIMT MEP (online self-checking)
- Access Maths
- @taylorda01
- Pret Homework (Rachel Mahoney)
- Dividing Decimals (Rachel Mahoney, pptx)
Dr Frost resources
Dr Frost Video
Whole Topic Video
K35: Divide a Decimal by a Single-Digit Integer.
K36: Divide a Decimal by a Decimal.
Dr Frost Slides & Activities
Dr Frost Slides (13-16)
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 124a: Divide a decimal by a single-digit integer where there is no final remainder.
- 124b: Divide a decimal by a single-digit integer where the final remainder creates additional digits.
- 125e: Divide an integer by a decimal by first scaling the numbers.
- 125f: Divide a decimal by a decimal by first scaling the numbers.
- 125g: Divide a decimal by a decimal by writing as an equivalent fraction with an integer denominator.
- 125h: Divide an integer by a decimal by writing as an equivalent fraction with an integer denominator.
- 124: Exam Practice: Dividing a decimal (up to 2dp) by an integer
- 125: Exam Practice: Dividing decimal numbers
Further Practice
EXTENSION MATERIALS
4.1 Questions in Context (FDPR)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Dr Frost resources
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Expanding Brackets PPQs as WW Powerpoint for AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Download FDPR Mixed Context PPQs as WW Powerpoint for AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Decimals as PowerPoint or PDF
Worksheets
- Maths 4 Everyone
- MME
Activities
- Math = Love (Sarah Carter)
- NRICH (student problems)
- Don Steward
- Interactive Maths
- Decimal Operations: QQI | 10QQI | Count Down | Relay | Bingo
- Decimal Operations: Worksheets
- Go Teach Maths
- Peter Mattock
- Dr Austin Maths
- TickTockMaths (Richard Tock)
- @Scott_Math83
- Murat Tepe (Puzzles and Figures)
- Maths is Fun
- SMILE
- Decimal search✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- Decimal flags✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- Decimal routes✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.