Marvellous Maths 2: Misconceptions, Methods and Mastery
Buy now
Learn more
Free resources from our sponsors
White Rose Maths resources
White Rose Maths Secondary Brochure
White Rose Maths website
White Rose Maths premium resources
AQA resources
AQA special offer
AQA Exampro Maths brochure
Exampro website
AQA customer support
AQA - preparing for 2021 website
Competition time! (closing date: 30th November 2020)
Marvellous Maths 2 Competitions!
White Rose Maths competition
AQA competition
Data and Diagnostic Questions
What is a Diagnostic Question?
DQ
The results are in!
Resource: ABCD template
Link: Eedi Help centre
How to get the data and explanations
Link: Diagnostic Questions collection page
Decimals: What do students meet and when?
A quiz!
Decimals: What do students meet and when?
The answers!
Link: National curriculum in England: mathematics programmes of study
Decimals: Place value and ordering - misconceptions
What students do well
Where students go wrong - introduction
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Decimals: Place value and ordering - methods and mastery
1. Conceptual Thinking
2. Words Matter
3. Visualisation
Tool: Math blocks
Tool: Dienes Blocks
4. Number Lines
Tool: What is the location of the red point?
Resource: Zoomable number line
Resource: Decimal scales
5. Decimals - Introductory Tasks
Resource: Nearest to
Resource: Fraction and decimal equivalents
Resource: Place value with decimals
6. Decimals - Seeking Inspiration
Decimals: Working with 0.1, 0.01, 10, 100 etc - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Working with 0.1, 0.01, 10, 100 etc - methods and mastery
1. Powers of 10
Further reading: NRICH
Resource: Multiplication and division
2. Using calculators
Resource: Calculator activity
3. Equivalence of multiply and divide
Resource: Linking multiplication and division
Decimals: Addition and subtraction - misconceptions
1. What do students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Addition and subtraction - methods and mastery
Addition and Subtraction
Resource: Decimal addition
Resource: Addition and subtraction of decimals
Resource: Variations
Decimals: Multiplication - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Multiplication - methods and mastery
1. Multiplication Methods
Questions to try
Book: Mathematical methods
2. Multiplication Tasks
Resource: Easy to check
Resource: Decimal practice makes perfect
Resource: Decimal multiplication and division
3. Using calculators in multiplication
Resource: Electronic calculators
Decimals: Division - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Division - methods and mastery
1. Division concepts
2. Exploring division with calculators
Resource: Calculator maths
3. Division tasks
Resource: Decimal practice makes perfect
Decimals: Related place value calculations - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Decimals: Related place value calculations - methods and mastery
Related calculations
Resource: Place value and other related calculations
Resource: Decimal calculations - right or wrong?
Decimals: Extra resources from our sponsors
1. White Rose Maths - place value
2. White Rose Maths - arithmetic
AQA - FDP quiz.pdf
Coordinates: What do students meet and when?
A quiz!
Coordinates: What do students meet and when?
The answers
Link: National curriculum in England: mathematics programmes of study
Coordinates: Naming and plotting - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Reflection
Coordinates: Naming and plotting - methods and mastery
1. Subject Knowledge
2. Naming and Plotting - Quadrant 1
Interactive Tool: Hit the Coordinate
Resource: Coordinate Message
Resource: Coordinate Sequences
3. Naming and Plotting - All Quadrants
Resource: Coordinate Grids Spot the Error
Resource: Coordinates Lesson from Boss Maths
Coordinates: Geometrical reasoning - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Coordinates: Geometrical reasoning - methods and mastery
1. Quadrilaterals
2. Geometrical Reasoning
Resource: Quadrilaterals and Coordinates
Coordinates: Midpoint - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Coordinates: Midpoint - methods and mastery
Midpoints
White Rose Maths - Coordinates
Coordinates: Coordinates on lines - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Coordinates: Coordinates on lines - methods and mastery
Points on Lines
Resource: Coordinate Practice
Resource: 4 in a Line Extended
Coordinates: Extra resources from our sponsors
White Rose Maths - Coordinates
AQA - Coordinates quiz
Pythagoras' Theorem: What do students meet and when?
What students meet and when
Pythagoras' Theorem: Labelling sides - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Pythagoras' Theorem: Labelling sides - methods and mastery
1. Subject Knowledge
Video: Pythagoras – the Mystic Philosopher from Ancient Greece
Blog post: 10 Strange Facts About Pythagoras: Mathematician And Cult Leader
Video: How many ways are there to prove the Pythagorean theorem?
Interactive textbook: Pythagoras’ Theorem
2. Labelling sides
Resource: Labelling the hypotenuse
Pythagoras' Theorem: Finding the length of sides - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Reflection
Pythagoras' Theorem: Finding the length of sides - methods and mastery
1. Length of hypotenuse
Resource: Pythagoras Fluency
Resource: Grid Triangles and Pythagoras
2. Pythagoras - Length of leg
Resource: Pythagoras Fluency
Resource: Mosaic Puzzle
3. Pythagoras - Triples
Resources: Don Steward’s Triples Tasks
Blog: Pythagorean Triples
Pythagoras' Theorem: Method selection - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Pythagoras' Theorem: Method selection - methods and mastery
Method Selection
Website: SSDD Problems
Pythagoras' Theorem: Applying the theorem - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Pythagoras' Theorem: Applying the theorem - methods and mastery
Applying the theorem
Blog Post: Applied Pythagoras
Blog Post: New GCSE Pythagoras Questions
Resource: Pythagoras Pile Up
Resource: Pythagoras Problems
Pythagoras' Theorem: Extra resources from our sponsors
White Rose Maths - Pythagoras' Theorem
AQA - Pythagoras quiz
Takeaways, next steps and course feedback
Takeaways and next steps
Course feedback
Course Certificate
Other things to check out from Craig
Craig's online courses
Craig's online courses
Craig's book: How I wish I'd taught maths
Craig's book: Reflect, Expect, Check, Explain
Mr Barton Maths website
Mr Barton Maths Podcast
Diagnostic Questions
Variation Theory
SSDD Problems
Maths Venns
Other things to check out from Jo
Resourceaholic site tour
Resourceaholic website
Jo's online CPD videos
Jo's book: A Compendium Of Mathematical Methods
Products
Course
Section
Pythagoras' Theorem: Finding the length of sides - methods and mastery
Pythagoras' Theorem: Finding the length of sides - methods and mastery
Marvellous Maths 2: Misconceptions, Methods and Mastery
Buy now
Learn more
Free resources from our sponsors
White Rose Maths resources
White Rose Maths Secondary Brochure
White Rose Maths website
White Rose Maths premium resources
AQA resources
AQA special offer
AQA Exampro Maths brochure
Exampro website
AQA customer support
AQA - preparing for 2021 website
Competition time! (closing date: 30th November 2020)
Marvellous Maths 2 Competitions!
White Rose Maths competition
AQA competition
Data and Diagnostic Questions
What is a Diagnostic Question?
DQ
The results are in!
Resource: ABCD template
Link: Eedi Help centre
How to get the data and explanations
Link: Diagnostic Questions collection page
Decimals: What do students meet and when?
A quiz!
Decimals: What do students meet and when?
The answers!
Link: National curriculum in England: mathematics programmes of study
Decimals: Place value and ordering - misconceptions
What students do well
Where students go wrong - introduction
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Decimals: Place value and ordering - methods and mastery
1. Conceptual Thinking
2. Words Matter
3. Visualisation
Tool: Math blocks
Tool: Dienes Blocks
4. Number Lines
Tool: What is the location of the red point?
Resource: Zoomable number line
Resource: Decimal scales
5. Decimals - Introductory Tasks
Resource: Nearest to
Resource: Fraction and decimal equivalents
Resource: Place value with decimals
6. Decimals - Seeking Inspiration
Decimals: Working with 0.1, 0.01, 10, 100 etc - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Working with 0.1, 0.01, 10, 100 etc - methods and mastery
1. Powers of 10
Further reading: NRICH
Resource: Multiplication and division
2. Using calculators
Resource: Calculator activity
3. Equivalence of multiply and divide
Resource: Linking multiplication and division
Decimals: Addition and subtraction - misconceptions
1. What do students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Addition and subtraction - methods and mastery
Addition and Subtraction
Resource: Decimal addition
Resource: Addition and subtraction of decimals
Resource: Variations
Decimals: Multiplication - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Multiplication - methods and mastery
1. Multiplication Methods
Questions to try
Book: Mathematical methods
2. Multiplication Tasks
Resource: Easy to check
Resource: Decimal practice makes perfect
Resource: Decimal multiplication and division
3. Using calculators in multiplication
Resource: Electronic calculators
Decimals: Division - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection
Decimals: Division - methods and mastery
1. Division concepts
2. Exploring division with calculators
Resource: Calculator maths
3. Division tasks
Resource: Decimal practice makes perfect
Decimals: Related place value calculations - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Decimals: Related place value calculations - methods and mastery
Related calculations
Resource: Place value and other related calculations
Resource: Decimal calculations - right or wrong?
Decimals: Extra resources from our sponsors
1. White Rose Maths - place value
2. White Rose Maths - arithmetic
AQA - FDP quiz.pdf
Coordinates: What do students meet and when?
A quiz!
Coordinates: What do students meet and when?
The answers
Link: National curriculum in England: mathematics programmes of study
Coordinates: Naming and plotting - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Reflection
Coordinates: Naming and plotting - methods and mastery
1. Subject Knowledge
2. Naming and Plotting - Quadrant 1
Interactive Tool: Hit the Coordinate
Resource: Coordinate Message
Resource: Coordinate Sequences
3. Naming and Plotting - All Quadrants
Resource: Coordinate Grids Spot the Error
Resource: Coordinates Lesson from Boss Maths
Coordinates: Geometrical reasoning - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Coordinates: Geometrical reasoning - methods and mastery
1. Quadrilaterals
2. Geometrical Reasoning
Resource: Quadrilaterals and Coordinates
Coordinates: Midpoint - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Coordinates: Midpoint - methods and mastery
Midpoints
White Rose Maths - Coordinates
Coordinates: Coordinates on lines - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Coordinates: Coordinates on lines - methods and mastery
Points on Lines
Resource: Coordinate Practice
Resource: 4 in a Line Extended
Coordinates: Extra resources from our sponsors
White Rose Maths - Coordinates
AQA - Coordinates quiz
Pythagoras' Theorem: What do students meet and when?
What students meet and when
Pythagoras' Theorem: Labelling sides - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Pythagoras' Theorem: Labelling sides - methods and mastery
1. Subject Knowledge
Video: Pythagoras – the Mystic Philosopher from Ancient Greece
Blog post: 10 Strange Facts About Pythagoras: Mathematician And Cult Leader
Video: How many ways are there to prove the Pythagorean theorem?
Interactive textbook: Pythagoras’ Theorem
2. Labelling sides
Resource: Labelling the hypotenuse
Pythagoras' Theorem: Finding the length of sides - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Reflection
Pythagoras' Theorem: Finding the length of sides - methods and mastery
1. Length of hypotenuse
Resource: Pythagoras Fluency
Resource: Grid Triangles and Pythagoras
2. Pythagoras - Length of leg
Resource: Pythagoras Fluency
Resource: Mosaic Puzzle
3. Pythagoras - Triples
Resources: Don Steward’s Triples Tasks
Blog: Pythagorean Triples
Pythagoras' Theorem: Method selection - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection
Pythagoras' Theorem: Method selection - methods and mastery
Method Selection
Website: SSDD Problems
Pythagoras' Theorem: Applying the theorem - misconceptions
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection
Pythagoras' Theorem: Applying the theorem - methods and mastery
Applying the theorem
Blog Post: Applied Pythagoras
Blog Post: New GCSE Pythagoras Questions
Resource: Pythagoras Pile Up
Resource: Pythagoras Problems
Pythagoras' Theorem: Extra resources from our sponsors
White Rose Maths - Pythagoras' Theorem
AQA - Pythagoras quiz
Takeaways, next steps and course feedback
Takeaways and next steps
Course feedback
Course Certificate
Other things to check out from Craig
Craig's online courses
Craig's online courses
Craig's book: How I wish I'd taught maths
Craig's book: Reflect, Expect, Check, Explain
Mr Barton Maths website
Mr Barton Maths Podcast
Diagnostic Questions
Variation Theory
SSDD Problems
Maths Venns
Other things to check out from Jo
Resourceaholic site tour
Resourceaholic website
Jo's online CPD videos
Jo's book: A Compendium Of Mathematical Methods
How can we help our students when it comes to finding the length of sides?
9 Lessons
1. Length of hypotenuse
Resource: Pythagoras Fluency
Resource: Grid Triangles and Pythagoras
2. Pythagoras - Length of leg
Resource: Pythagoras Fluency
Resource: Mosaic Puzzle
3. Pythagoras - Triples
Resources: Don Steward’s Triples Tasks
Blog: Pythagorean Triples