Prior Content: Rounding, Basic Operations +-x/, 2D Area & Perimeter
Possible Next Steps: Compound Measures, Volume & Surface Area, Prisms
Contents
- 1.1 Upper & Lower Bounds on Rounded Values
- 2.1 Using Bounds in Calculations
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Upper & Lower Bounds on Rounded Values
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Rounding: Smallest/ Largest Possible Values
Corbett Maths Lower & Upper Bounds
Corbett Maths Error Intervals
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Upper and Lower Bounds (Limits of Accuracy) ppt (Up to Slide 7)
- Andy Lutwyche
- Don Steward
- Transum
- Goal Free Problems
- Go Teach Maths
- BossMaths
- dooranran
- Ticktock Maths
- Upper and Lower Bounds lesson (slides)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Highest/ Lowest Values Practice Questions & Solutions
- Highest/ Lowest Values Worksheet & Solutions
- Limits of Accuracy Practice Questions (Q1-4) & Solutions
- Limits of Accuracy Worksheet & Solutions
- Error Intervals Practice Questions & Solutions
- Error Intervals Worksheet & Solutions
- WW Upper & Lower Bounds Intro Word Doc or PDF
- Maths Genie
- Error Intervals: Booklet · Worksheet · Solutions · Lesson · Topic page
- Access Maths
- @alcmaths
- 1st Class Maths
- Mr Morley Maths
- Error Intervals and Bounds: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme · Rehearsal strip · Answers
- Pret Homework (@MilsomMaths)
- Upper and Lower Bounds (@MilsomMaths, pdf)
- Pret Homework (@SK18Maths)
- Bounds (@SK18Maths, pptx)
Dr Frost Resources
Dr Frost Video
K453: Calculate Bounds of a Number Rounded to the Nearest 1, 10, 100, 1000.
K454: Calculate Bounds of a Number Rounded to a Given Number of Decimal Places.
K455: Calculate Bounds of a Number Rounded to a Given Number of Significant Figures.
K456: Find the Error Interval of a Rounded Number.
K458: Calculate Bounds of a Number Truncated to a Given Number of Decimal Places.
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
- 310a: Calculate bounds of a number rounded to the nearest 1, 10, 100, 1000.
- 310b: Calculate bounds of a number rounded to a given number of decimal places.
- 310c: Calculate bounds of a number rounded to a given number of significant figures.
- 310d: Determine the error interval of a rounded number.
- 383b: Calculate bounds of a number truncated to a given number of decimal places.
- 383c: Identify the error interval for a truncated number. (not yet active)
- 385a: Write a minimum and maximum measurement in tolerance form. (not yet active)
- 385b: Write the tolerance form from a given context. (not yet active)
- 385c: Find the maximum and minimum from a tolerance written as a percentage. (not yet active)
- 385d: Write a tolerance from a given context when the tolerance is written as a percentage. (not yet active)
- 310: Exam Practice: Upper and lower bound of rounded values or identifying an error interval
- 383: Exam Practice: Truncating a number to a given number of decimal places
- 385: Exam Practice: Tolerance (not yet active)
Extension Materials
2.1 Using Bounds in Calculations
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Solving Limits of Accuracy Problems
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
- Andy Lutwyche
- Don Steward
- The Chalkface
- Gravity Bounds: PDF
- Painting bounds✦
- Goal Free Problems
- Go Teach Maths
- BossMaths
- Colin Foster
- Ticktock Maths
- Calculating with Bounds lesson (slides)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Limits of Accuracy Practice Questions & Solutions
- Applying Limits of Accuracy Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Maths Genie
- Bounds: Booklet · Worksheet · Solutions · Lesson · Topic page
- MadAsMaths (T. Madas)
- Practical Arithmetic Problem Solving Q2–3, 6, 9 (difficulty 2–3 of 5)
- Mr Morley Maths
- Upper and Lower Bounds (Calculations): Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost resources
Dr Frost Video
K459: Calculate a Further Bound for a Given Formula Involving an Addition.
K460: Calculate a Further Bound for a Given Formula Involving a Multiplication.
K461: Calculate a Further Bound for a Given Formula Involving a Subtraction.
K462: Calculate a Further Bound for a Given Formula Involving a Division.
K463: Calculate a Further Bound for a Given Formula Involving Multiple Arithmetic Operations.
K464: Calculate a Further Bound and Specify the Value to a Suitable Degree of Accuracy.
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
- 384a: Calculate a further bound for a given formula involving a multiplication.
- 384b: Calculate a further bound for a given formula involving an addition.
- 384c: Calculate a further bound for a given formula involving a subtraction.
- 384d: Calculate a further bound for a given formula involving a division.
- 384e: Calculate a lower or upper bound for a speed, distance or time calculation. (not yet active)
- 384f: Calculate a further bound for a given formula involving multiple arithmetic operations.
- 384g: Calculate a further bound and specify the value to a suitable degree of accuracy.
- 385e: Accumulate error (by addition or subtraction only). (not yet active)
- 384: Exam Practice: Using lower and upper bounds within calculations to calculate a further lower/upper bound
- 385: Exam Practice: Tolerance (not yet active)
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Upper & Lower Bounds PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Bounds as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- Mathshelper (Jon Stone)
- MathedUp
- Bounds & Error Intervals: Worksheet · Practice · Quiz · Question Gallery
- Physics & Maths Tutor
- MME
- The Chalkface
- 1st Class Maths
Activities
- Nuffield Foundation
- Dr Austin Maths
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.