E1 Powers, Roots and Types of Number

E1 Powers, Roots and Types of Number

1. New GCSE Information

1a. AQA Teacher Guidance Document

Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5

Link 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, 5
estimate 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

Calculate with roots and with integer indices

Link to AQA Teacher Document for Student Friendly Objectives and Example Questions

N7h

Calculate with roots and with integer and fractional 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

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

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