Prior Content: Basic Operations +-x/, Using a Calculators/ BIDMAS
Possible Next Steps: Direct & Inverse Proportion, Compound Measures, Similar Shapes, Vectors, Pie Charts, Basic Trigonometry
Contents
- 1.1 Simplifying & Equivalent Ratios
- 1.2.1 Basic Direct Proportion
- 1.2.2 Converting Money & Best Buys
- 1.3.1 Metric & Imperial Units
- 1.3.2 Conversions (Metric)
- 1.3.3 Conversions (Non-Metric)
- 1.4 Map Ratios & Scale Drawings
- 2.1 Basic Inverse Proportion
- 3.1 Dividing Into a Ratio
- 3.2 Dividing When Given an Amount Within a Ratio
- 3.3 Working with Changing Ratios
- 3.4 Questions in Context (FDPR)
- 4.1 Converting Units Between Dimensions
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Simplifying & Equivalent Ratios
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Ratio Simplifying
Corbett Maths Expressing Ratios as 1 to n
Online Platforms (with Videos & Exercises)
Activities & Resources
- Maths 4 Everyone
- Pixi Maths
- thewessens.net online ratio simplifying
Worksheets
- Dr Austin Maths
- Simplifying Ratios Pixel Picture (Editable Word | PDF | Answers)
- Simplifying Ratios Odd One Out (Editable Word | PDF | Answers)
- Equivalent Ratios Match-Up (Editable Word | PDF | Answers)
- Combining Ratios Practice Strips (Editable Word | PDF | Answers)
- Corbettmaths
- Maths 4 Everyone
- Pixi Maths
Dr Frost Resources
Dr Frost Video
K196: Write a Ratio in its Simplest Form.
K197: Write a Ratio in the Form 1:n or n:1.
K695: Convert an Equation Involving Two Variables into a Ratio.
K206: Combine Two Ratios to Form One.
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
- 196 Write a Ratio in its Simplest Form.
- 197 Write a Ratio in the Form 1:n or n:1.
- 695 Convert an Equation Involving Two Variables into a Ratio.
- 206 Combine Two Ratios to Form One.
- 746 Form a Four-Part Ratio.
- Combination of All
Ratio & Proportion Key Skills Section (for selecting more than one)
Extension Materials
Other Videos & Multimedia
Corbett Maths Expressing Ratios as Fractions or Percentages
Corbett Maths Writing a Ratio as an Equations
1.2.1 Basic Direct Proportion
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Unitary Method
Corbett Maths Recipes
Online Platforms (with Videos & Exercises)
Activities & Resources
- Maths 4 Everyone
- Pixi Maths
Worksheets
- Dr Austin Maths
- Unitary Method Practice Strips (Editable Word | PDF | Answers)
- Unitary Method Match-Up (Editable Word | PDF | Answers)
- Corbettmaths
- Daniel Burke Capture Recapture (TES Account Required)
- Maths 4 Everyone
- Pixi Maths
- Capture-Recapture Mark Scheme (Emporium)
Dr Frost Resources
Dr Frost Video
K230: Solve Direct Proportion Problems Using a Scaling Method.
K231: Use Multiplicative Reasoning in a Recipe.
K272: Use the Capture-Recapture Method to Estimate the Size of a Population.
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
- 230 Solve Direct Proportion Problems Using a Scaling Method.
- 231 Use Multiplicative Reasoning in a Recipe.
- 272 Use the Capture-Recapture Method to Estimate the Size of a Population.
- Combination of All
Ratio & Proportion Key Skills Section (for selecting more than one)
Data Collection Key Skills Section (for selecting more than one)
Extension Materials
Other Videos & Multimedia
Corbett Maths Capture Recapture
1.2.2 Converting Money & Best Buys
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Exchange Rates
Corbett Maths Best Buys
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
Worksheets
- Dr Austin Maths
- Best Buys Practice Strips (Editable Word | PDF | Answers)
- Currency Conversions Practice Strips (Editable Word | PDF | Answers)
- Corbettmaths
- Converting Currency Practice Questions & Solutions
- Exchange Rates Worksheet & Solutions
- Best Buys Practice Questions & Solutions
- Best Buys Worksheet & Solutions
- Maths For Everyone
- Pixi Maths
Dr Frost Resources
Dr Frost Video
K234: Use an Exchange Rate to Calculate an Amount by Multiplying.
K235: Use an Exchange Rate to Calculate an Amount by Dividing.
K233: Use Proportion to Solve Best Value Problems.
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
- 234 Use an Exchange Rate to Calculate an Amount by Multiplying.
- 235 Use an Exchange Rate to Calculate an Amount by Dividing.
- 233 Use Proportion to Solve Best Value Problems.
- Combination of All
Compound Measures and Units of Measurement Key Skills Section (for selecting more than one)
Ratio & Proportion Key Skills Section (for selecting more than one)
Extension Materials
1.3.1 Metric & Imperial Units
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Introduction to Metric & Imperial Units
Corbett Maths Reading Scales
Corbett Maths Sensible Estimates
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
Worksheets
- thechalkface Appropriate Units
- Corbettmaths
- Metric/ Imperial Units Practice Questions & Solutions
- Reading Scales Practice Questions & Solutions
- Reading Scales Worksheet & Solutions
- Sensible Estimates Practice Questions & Solutions
- Sensible Estimates Worksheet & Solutions
Dr Frost resources
Dr Frost Video
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
No Key Skills Yet
Further Practice
- Practise Questions
EXTENSION MATERIALS
Other Videos
Worksheets
1.3.2 Conversions (Metric)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Dr Frost resources
EXTENSION MATERIALS
1.3.3 Conversions (Non-Metric)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Videos on Imperial Conversions. Last 3 Converting to Metric.
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- Khan Academy Converting US Customary units, Converting US Customary units word problems lessons & main page (including tests). Note this is the same skill as ‘imperial units’, with many of the same units.
- cimt.org (no video) self contained notes and self checking questions and problems in context
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- math-salamanders conversions table
- Pixi Maths
- transum matching games, miles to km online worksheet
- mathopolis.com multiple choice quiz and numerous other quizzes available in the measurement section here
Worksheets
- DIY worksheets at homeschoolmath.net (will need a conversion table to hand)
- Corbettmaths
- Imperial Units Practice Questions & Solutions
- Imperial & Metric Units Practice Questions & Solutions
- mathworksheets4kids large selection on individual skills
- thechalkface introduction to imperial units with mini conversion table
- thechalkface context problems
- Pixi Maths
Dr Frost resources
Dr Frost Video
Whole Topic Video
K64: Convert From Hours to Minutes.
K65: Convert From Minutes to Seconds.
K66: Convert From Years to Months.
K67: Convert From Weeks to Days.
Dr Frost Slides & Activities
Topic Tests
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
- 64 Convert From Hours to Minutes.
- 65 Convert From Minutes to Seconds.
- 66 Convert From Years to Months.
- 67 Convert From Weeks to Days.
- K42e: Convert from minutes to hours.
- K42f: Convert from seconds to minutes.
- Combination of All
Time Key Skills Section (for selecting more than one)
Further Practice
EXTENSION MATERIALS
1.4 Map Ratios & Scale Drawings
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Maps & Scales
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Using Map Scales Practice Strips (Editable Word | PDF | Answers)
- Scale Diagrams Practice Grid (Editable Word | PDF | Answers)
- Bearings and Scale Diagrams Practice Strips (Editable Word | PDF | Answers)
- Drawing Scale Diagrams Practice Grid (Editable Word | PDF | Answers)
- Corbettmaths
- Scales & Maps Practice Questions & Solutions
- Pixi Maths
Dr Frost resources
Dr Frost Video
K543: Use a Map Scale to Find an Actual Distance.
K544: Use a Map Scale in the Form 1:n to Find an Actual Distance.
Topic Tests
- 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
- 543 Use a Map Scale to Find an Actual Distance.
- K3e GDP TESTING
- 544 Use a Map Scale in the Form 1:n to Find an Actual Distance.
- Combination of All
Construction, Loci & Scale Drawings Key Skills Section (for selecting more than one)
EXTENSION MATERIALS
2.1 Basic Inverse Proportion
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths (Mix Direct & Inverse)
- Proportion Worded Problems Practice Strips (Editable Word | PDF | Answers)
Dr Frost resources
Dr Frost Video
K232: Solve Inverse Proportion Problems Using a Scaling Method.
Topic Tests
- 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
- 232 Solve Inverse Proportion Problems Using a Scaling Method.
Ratio & Proportion Key Skills Section (for selecting more than one)
EXTENSION MATERIALS
3.1 Dividing Into a Ratio
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Ratio Sharing the Total
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
Worksheets
- Dr Austin Maths
- Sharing and Combining Ratios Practice Strips (Editable Word | PDF | Answers)
- Corbettmaths
- Pixi Maths
Dr Frost resources
Dr Frost Video
K202: Share an Amount into a Ratio With 2 Parts.
K203: Share an Amount into a Ratio With 3 Parts.
Topic Tests
- Standard Test (covering all Multiplying and Dividing by Powers of 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
- 202 Share an Amount into a Ratio With 2 Parts.
- 203 Share an Amount into a Ratio With 3 Parts.
- Combination of All
Ratio & Proportion Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.2 Dividing When Given an Amount Within a Ratio
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Ratio When Given One Quantity
Corbett Maths Ratio Questions Involving Differences
Online Platforms (with Videos & Exercises)
Activities & Resources
- Maths 4 Everyone
- maths box Mixed Ratios treasure hunt (free sample activity)
Worksheets
- Dr Austin Maths
- Working with Ratio Practice Strips (Editable Word | PDF | Answers)
- Dividing in a Ratio Practice Strips (Editable Word | PDF | Answers)
- Dividing in a Ratio Fill in the Blanks (Editable Word | PDF | Answers)
- Dividing in a Ratio Crack the Code (Editable Word | PDF | Answers)
- Corbettmaths
- Maths 4 Everyone
Dr Frost resources
Dr Frost Video
K204: Determine a Value in a Ratio When the Difference Between Two Amounts is Given.
K205: Determine a Value in a Ratio When One Amount is Given.
Dr Frost Slides & Activities
Dr Frost Slides (4-6)
Topic Tests
- Standard 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
- 204 Determine a Value in a Ratio When the Difference Between Two Amounts is Given.
- 205 Determine a Value in a Ratio When One Amount is Given.
- Combination of All
Ratio & Proportion Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
Other Videos & Multimedia
Corbett Maths Given Two Ratios
3.3 Working with Changing Ratios
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Harder Ratio Problems Practice Strips (Editable Word | PDF | Answers)
Dr Frost resources
Dr Frost Video
K696: Determine an Amount Given a Change in a Ratio Where One Part is Changing.
K697: Determine an Amount Given a Change in a Ratio Where Two Parts are Changing.
Dr Frost Slides & Activities
Dr Frost Slides (13-16)
Topic Test
- Standard 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
- 696 Determine an Amount Given a Change in a Ratio Where One Part is Changing.
- 697 Determine an Amount Given a Change in a Ratio Where Two Parts are Changing.
- Combination of All
Ratio & Proportion Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.4 Questions in Context (FDPR)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Dr Frost resources
EXTENSION MATERIALS
4.1 Converting Units Between Dimensions
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Converting Metric Units of Area
Corbett Maths Converting Metric Units of Volume
Online Platforms (with Videos & Exercises)
Activities
- Go Teach Maths treasure trove of activities & ppts
- Pixi Maths
Worksheets
- Andy Ludwyche
- Converting Unit Of Length, Area, Volume Codebreaker (TES Account Required)
- Corbettmaths
- Maths 4 Everyone
- Pixi Maths
Dr Frost resources
Dr Frost Video
Whole Topic Video
K529: Convert Metric Units of Area by Multiplying.
K530: Convert Metric Units of Area by Dividing.
K531: Convert Metric Units of Volume by Multiplying.
K532: Convert Metric Units of Volume by Dividing.
Dr Frost Slides & Activities
Topic 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
- 134 Convert from Units of Volume to Units of Capacity.
- 135 Convert from Units of Capacity to Units of Volume.
- 529 Convert Metric Units of Area by Multiplying.
- 530 Convert Metric Units of Area by Dividing.
- 531 Convert Metric Units of Volume by Multiplying.
- 532 Convert Metric Units of Volume by Dividing.
- K250d: Find an actual area given an area on the map.
- K250e: Find an area on a map given the actual area.
- Combination of All
Units of Measurement Key Skills Section (for selecting more than one)
Further Practice
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Ratio & Basic Proportion PPQs as WW Powerpoint for Edexcel IGCSE, 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
Worksheets
- Dr Austin Maths
- Solving Ratio Problems Practice Strips (Editable Word | PDF | Answers)
- Solving Ratio Problems Practice Grid (Editable Word | PDF | Answers)
- Mixed Ratio and Proportion Revision Practice Grid (Editable Word | PDF | Answers)