E1 Powers, Roots and Types of Number
1. New GCSE Information
1a. AQA Teacher Guidance Document
N6
Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5Link to AQA Teacher Document for Student Friendly Objectives and Example Questions
N6h
Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5estimate powers and roots of any given positive number
Link to AQA Teacher Document for Student Friendly Objectives and Example Questions
1b. New GCSE Exam Questions
From JustMaths
2. Videos
2a. Corbett Maths
2b. Hegarty Maths
2c. Other Videos
3. Worksheets
3a. Corbett Maths
3b. OCR Check In Tests
3c. Other Worksheets
4. Self Marking Quizzes
4a. DQ Quizzes
4b. Extra Diagnostic Questions:
4c. Mathster Quizzes
5. Lesson Resources
5a. Complete Lesson PowerPoints
5b. TES 5 Star Resources
5c. Other Lesson Resources
5d. Tarsia Jigsaws
5e. Diagnostic Questions Exit Tickets
6. Rich Tasks
6a. Median Rich Tasks
Square Numbers and Square Roots
Square Number Tasks
More Square Number Tasks
Alternating Squares
Squaring (100 + something)
Square Numbers and 32 Points
Magic Triangle
Square Diamond
Square Numbers
Multiply a Square by a Number and add 1
A five digit square number
Squares and their Predecessors
Two numbers sum to a square number
ABC
Residue 1
Fraction Approximations to Square Roots
Alternating Squares
Cube Numbers
Sum and Difference of 2 cubes
Cube Number Problems
1 off a cube
Sum of the Cubes
Triangle Numbers
Handshakes
Triangular Number Pictures
Triangular Numbers Squared
Not Next Doors
Meaned Triangle Numbers
Triangle Number Proofs
Triangular Number Building Blocks
Systematic Counting of Triangles
Domino Sums
Figurate Numbers
Corner Polygonal Numbers
Centre Polygonal Numbers
Cables, and Centred Hexagonal Numbers
Shells and Hexagons
Powers
Find the Power
Doubling
Powers of 2
Powers of 3
Powers of 4
Powers of 5
Powers of 10
Powers of 11
Powers Sums
n to the n
Sierpinski
Rice Grains Multiplied
6b. NRICH Rich Tasks
Sissa's Reward
Generating Triples
Power Countdown
6c. Other Rich Tasks
7. Interactive (Desmos, Wolfram, GeoGebra, GIFs)
7a. Wolfram Alpha
7b. Desmos
Square Dance
7c. GeoGebra
Illustrating Square Numbers
Triangular Numbers (as a Triangle)
Triangular Numbers (as a Rectangle)
Polygonal Numbers
Proof of the Sum of the Squares
Consecutive Triangle Numbers = Square Number
Sum of Odd Numbers = Square Number
Squares and Square Roots
7d. Other Interactives
8. Probing Questions
8a. Convince me that...
8b. VI3 Treatment
E2 Laws of Indices
1. New GCSE Information
1a. AQA Teacher Guidance Document
N7
Calculate with roots and with integer indicesLink to AQA Teacher Document for Student Friendly Objectives and Example Questions
N7h
Calculate with roots and with integer and fractional indicesLink to AQA Teacher Document for Student Friendly Objectives and Example Questions
1b. New GCSE Exam Questions
From JustMaths
2. Videos
2a. Corbett Maths
2b. Hegarty Maths
2c. Other Videos
3. Worksheets
3a. Corbett Maths
3b. OCR Check In Tests
3c. Other Worksheets
4. Self Marking Quizzes
4a. DQ Quizzes
4b. Extra Diagnostic Questions:
4c. Mathster Quizzes
5. Lesson Resources
5a. Complete Lesson PowerPoints
5b. TES 5 Star Resources
5c. Other Lesson Resources
5d. Tarsia Jigsaws
5e. Diagnostic Questions Exit Tickets
6. Rich Tasks
6a. Median Rich Tasks
Power Rules Visually
Mega Hard Powers Questions
Find the Power
6b. NRICH Rich Tasks
6c. Other Rich Tasks
7. Interactive (Desmos, Wolfram, GeoGebra, GIFs)
7a. Wolfram Alpha
7b. Desmos
7c. GeoGebra
Negative and Zero Indices
Demonstrate Laws of Indices
Multiplying with Indices
Dividing with Indices
Power of a Power Law
7d. Other Interactives
8. Probing Questions
8a. Convince me that...
8b. VI3 Treatment
E3 Standard Form
1. New GCSE Information
1a. AQA Teacher Guidance Document
N9
Calculate with and interpret standard form A x 10 n,where 1 ⩽ A < 10 and n is an integer
Link to AQA Teacher Document for Student Friendly Objectives and Example Questions
1b. New GCSE Exam Questions
From JustMaths
2. Videos
2a. Corbett Maths
2b. Hegarty Maths
2c. Other Videos
3. Worksheets
3a. Corbett Maths
3b. OCR Check In Tests
3c. Other Worksheets
4. Self Marking Quizzes
4a. DQ Quizzes
4b. Extra Diagnostic Questions:
4c. Mathster Quizzes
5. Lesson Resources
5a. Complete Lesson PowerPoints
5b. TES 5 Star Resources
5c. Other Lesson Resources
5d. Tarsia Jigsaws
5e. Diagnostic Questions Exit Tickets
6. Rich Tasks
6a. Median Rich Tasks
Hairy Thoughts
6b. NRICH Rich Tasks
A Question of Scale
6c. Other Rich Tasks
7. Interactive (Desmos, Wolfram, GeoGebra, GIFs)
7a. Wolfram Alpha
7b. Desmos
7c. GeoGebra
Standard Form
Standard Form 2
7d. Other Interactives
8. Probing Questions
8a. Convince me that...
8b. VI3 Treatment
E4 Simplifying Surds
1. New GCSE Information
1a. AQA Teacher Guidance Document
N8h
Calculate exactly with fractions, surds, and multiples of π; simplify surd expressions involving squares(eg √12 = √4 x √3 = 2√3 and rationalise denominators
Link to AQA Teacher Document for Student Friendly Objectives and Example Questions
1b. New GCSE Exam Questions
From JustMaths
2. Videos
2a. Corbett Maths
2b. Hegarty Maths
2c. Other Videos
3. Worksheets
3a. Corbett Maths
3b. OCR Check In Tests
3c. Other Worksheets
4. Self Marking Quizzes
4a. DQ Quizzes
4b. Extra Diagnostic Questions:
4c. Mathster Quizzes
5. Lesson Resources
5a. Complete Lesson PowerPoints
5b. TES 5 Star Resources
5c. Other Lesson Resources
5d. Tarsia Jigsaws
5e. Diagnostic Questions Exit Tickets
6. Rich Tasks
6a. Median Rich Tasks
Introducing Surds
Surd Simplification
Square Roots
6b. NRICH Rich Tasks
6c. Other Rich Tasks
7. Interactive (Desmos, Wolfram, GeoGebra, GIFs)
7a. Wolfram Alpha
7b. Desmos
7c. GeoGebra
Simplifying Surds Illustration
Simplifying Surds - A geometric Approach
Simplifying Surds Practise
7d. Other Interactives
8. Probing Questions
8a. Convince me that...
8b. VI3 Treatment
E5 Operations with Surds
1. New GCSE Information
1a. AQA Teacher Guidance Document
N8h
Calculate exactly with fractions, surds, and multiples of π; simplify surd expressions involving squares(eg √12 = √4 x √3 = 2√3 and rationalise denominators
Link to AQA Teacher Document for Student Friendly Objectives and Example Questions
A4h
Simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:· collecting like terms
· multiplying a single term over a bracket
· taking out common factors
· expanding products of two or more binomials
· factorising quadratic expressions of the form
x2 + bx + c, including the difference of two squares;
factorising quadratic expressions of the form ax2 + bx + c
· simplifying expressions involving sums, products and powers, including the laws of indices.
Link to AQA Teacher Document for Student Friendly Objectives and Example Questions
1b. New GCSE Exam Questions
From JustMaths
2. Videos
2a. Corbett Maths
2b. Hegarty Maths
2c. Other Videos
3. Worksheets
3a. Corbett Maths
3b. OCR Check In Tests
3c. Other Worksheets
4. Self Marking Quizzes
4a. DQ Quizzes
4b. Extra Diagnostic Questions:
4c. Mathster Quizzes
5. Lesson Resources
5a. Complete Lesson PowerPoints
5b. TES 5 Star Resources
5c. Other Lesson Resources
5d. Tarsia Jigsaws
5e. Diagnostic Questions Exit Tickets
6. Rich Tasks
6a. Median Rich Tasks
Introducing Surds
Powers of Phi
Grid Rectnagles
Area of Isosceles Trapeziums
Paul Lockhart’s Problems
Geometric Series (some with surds)
Pythagoras and Surd Forms
Surd Multiplication and Powers
Golden Ratio
Enlargement Scale Factor Root 2
Unusual Square Roots
Exodus’ Ladder
6b. NRICH Rich Tasks
6c. Other Rich Tasks
7. Interactive (Desmos, Wolfram, GeoGebra, GIFs)
7a. Wolfram Alpha
7b. Desmos
7c. GeoGebra
7d. Other Interactives
8. Probing Questions
8a. Convince me that...
8b. VI3 Treatment
E6 Rationalising the Denominator
1. New GCSE Information
1a. AQA Teacher Guidance Document
N8h
Calculate exactly with fractions, surds, and multiples of π; simplify surd expressions involving squares(eg √12 = √4 x √3 = 2√3 and rationalise denominators
Link to AQA Teacher Document for Student Friendly Objectives and Example Questions
1b. New GCSE Exam Questions
From JustMaths
2. Videos
2a. Corbett Maths
2b. Hegarty Maths
2c. Other Videos
3. Worksheets
3a. Corbett Maths
3b. OCR Check In Tests
3c. Other Worksheets
4. Self Marking Quizzes
4a. DQ Quizzes
4b. Extra Diagnostic Questions:
4c. Mathster Quizzes
5. Lesson Resources
5a. Complete Lesson PowerPoints
5b. TES 5 Star Resources
5c. Other Lesson Resources
5d. Tarsia Jigsaws
5e. Diagnostic Questions Exit Tickets
6. Rich Tasks
6a. Median Rich Tasks
Surd Multiplication and Powers
Powers of Phi
Golden Ratio
6b. NRICH Rich Tasks
The Root of the Problem
6c. Other Rich Tasks
7. Interactive (Desmos, Wolfram, GeoGebra, GIFs)
7a. Wolfram Alpha
7b. Desmos
7c. GeoGebra
Rationalise the Denominator Checker
7d. Other Interactives
8. Probing Questions
8a. Convince me that...
8b. VI3 Treatment