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https://padlet.com/rdmath/number1
https://padlet.com/rdmath/number2
https://padlet.com/rdmath/number3
https://padlet.com/rdmath/number4
https://padlet.com/rdmath/number5
https://padlet.com/rdmath/number6

https://padlet.com/rdmath/algebra1
https://padlet.com/rdmath/algebra2
https://padlet.com/rdmath/algebra3
https://padlet.com/rdmath/algebra4
https://padlet.com/rdmath/algebra5
https://padlet.com/rdmath/algebra6
https://padlet.com/rdmath/algebra7
https://padlet.com/rdmath/algebra8
https://padlet.com/rdmath/algebra9
https://padlet.com/rdmath/algebra10
https://padlet.com/rdmath/algebra11

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Teacher resources for Part 1

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Links to past exam questions

Teachers: log in to access these.

Teacher resources for Part 2

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Teacher resources for Part 3

Teachers: log in to access the following:

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Teachers: log in to view this content.

Manipulating algebraic fractions is a skill required in some of the trickiest algebra questions in the GCSE. For example, you have to use this skill (together with expanding and factorising) to make x the subject of the following:

\( \dfrac{x+1}{x+3} = t\)

Remember, that the principles are the same as for numerical fractions, so if you have a really good understanding of N2b - Applying the four operations to fractions, you should be in a good position. These lessons also follow on from this one:

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A4f - Simplifying, multiplying and dividing algebraic fractions

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Teacher resources for Part 1 Teachers: log in to access the following: Slides in PPTX (with click-to-reveal answers) Slides in PDF (one slide per page, suitable for importing into IWB software) Worksheet (with space for student work) Handout (slides with exercises only; 4 per page for reduced printing) Links to past exam questions Teachers: log in to access these.

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Teachers: log in to access the following:

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Links to past exam questions

Teachers: log in to access these.

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A4g - Adding and subtracting algebraic fractions

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Teachers: log in to access the following: Slides in PDF (one slide per page, suitable for importing into IWB software) Worksheet (with space for student work) Handout (slides with exercises only; 4 per page for reduced printing) Links to past exam questions Teachers: log in to access these.

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https://en.wikisource.org/wiki/Translation:On_the_Electrodynamics_of_Moving_Bodies#%C2%A7_7._Theory_of_Doppler's_principle_and_aberration.

# data[].attributes.attachment_link.readable_text
Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Links to past exam questions

Teachers: log in to access these.

Unlimited practice questions

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Teachers: log in to access the following: Slides in PPTX (with click-to-reveal answers) Slides in PDF (one slide per page, suitable for importing into IWB software) Worksheet (with space for student work) Handout (slides with exercises only; 4 per page for reduced printing) Links to past exam questions Teachers: log in to access these.

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Teacher resources for Part 1

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Links to past exam questions

Teachers: log in to access these.

Teacher resources for Part 2

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Teacher resources for Part 3

Teachers: log in to access the following:

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Teachers: log in to view this content.

Manipulating algebraic fractions is a skill required in some of the trickiest algebra questions in the GCSE. For example, you have to use this skill (together with expanding and factorising) to make x the subject of the following:

\( \dfrac{x+1}{x+3} = t\)

Remember, that the principles are the same as for numerical fractions, so if you have a really good understanding of N2b - Applying the four operations to fractions, you should be in a good position. These lessons also follow on from this one:

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A4f - Simplifying, multiplying and dividing algebraic fractions

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Teacher resources for Part 1 Teachers: log in to access the following: Slides in PPTX (with click-to-reveal answers) Slides in PDF (one slide per page, suitable for importing into IWB software) Worksheet (with space for student work) Handout (slides with exercises only; 4 per page for reduced printing) Links to past exam questions Teachers: log in to access these.

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Click the tabs for extension tasks...

1. Expand \((x+\frac{1}{2})(x+6)\). Is it possible factorise this expanded expression so that the factors only contain integer coefficients and constants?

2. Expand \((x+\frac{1}{2})(2x+6)\). Is it possible factorise this expanded expression so that the factors only contain integer coefficients and constants?

Hover for answers:
Stan and Ollie are trying to factorise \(x^2-5x+6\). Stan writes \((x-2)(x-3)\). Ollie writes \((2-x)(3-x)\). Are either of them correct? If so, who?

Hover for answers:

They're both correct, but Stan's factorisation is more conventional.

Factorising non-monic quadratic expressions

Click the "New question" to generate a new expression to factorise. Drag down the slider for a step-by-step solution using the grouping method. Note that the applet will occasionally generate an expression that can be factorised easily by a different method (e.g. completing the square) to help you practise those skills. In these cases, the slider is replaced with a simple button to reveal the answer.

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Links to past exam and UKMT questions

Teachers: log in to access these.

Unlimited practice questions

In lesson A18a, you will see how factorising quadratic expressions will help you solve quadratic equations. The ' In the real world ' section for that lesson shows why quadratics are so relevant in the real world.

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Click the tabs for extension tasks... Expand \((x+\frac{1}{2})(x+6)\). Is it possible factorise this expanded expression so that the factors only contain integer coefficients and constants? Expand \((x+\frac{1}{2})(2x+6)\). Is it possible factorise this expanded expression so that the factors only contain integer coefficients and constants? Hover for answers: Stan and Ollie are trying to factorise \(x^2-5x+6\).

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In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.

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Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

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https://www.electronics-tutorials.ws/boolean/bool_6.html

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https://www.bossmaths.com/a4d/
https://www.britannica.com/science/distributive-law

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N2f – Applying the four operations to fractions – this is fundamental.

A4a – Simplifying and manipulating algebraic expressions

A4b – Multiplying a single term over a bracket

A4c – Factorising (basic)

A4d – Multiplying two or more brackets

A4e – Factorising quadratics

A4f – Multiplying and dividing algebraic fractions

A4i – Index laws

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Teacher resources for Part 1

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Teacher resources for Part 2

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)

Handout (slides with exercises only; 4 per page for reduced printing)

Teachers: log in to view this content.

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A4h - Algebraic manipulation involving surds and fractions

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Teacher resources for Part 1 Teachers: log in to access the following: Slides in PPTX (with click-to-reveal answers) Slides in PDF (one slide per page, suitable for importing into IWB software) Worksheet (with space for student work) Handout (slides with exercises only; 4 per page for reduced printing) Teacher resources

# data[].attributes.attachment_link.readable_text
Teacher resources for Part 1

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Teacher resources for Part 2

Teachers: log in to access the following:

Slides in PDF (one slide per page, suitable for importing into IWB software)

Links to past exam questions

Teachers: log in to access these.

Teacher resources for Part 3

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Slides in PDF (one slide per page, suitable for importing into IWB software)

Links to pashttps://www.bossmaths.com/wp-admin/themes.phpt exam questions

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Teacher resources for Part 4

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Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Links to past exam questions

Teachers: log in to access these.

Teacher resources for Part 5

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)

Slides in PDF (one slide per page, suitable for importing into IWB software)

Links to past exam and UKMT questions

Teachers: log in to access these.

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A4i - Index laws and solving equations involving indices

# data[].attributes.attachment_link.description
Teacher resources for Part 1 Teachers: log in to access the following: Slides in PPTX (with click-to-reveal answers) Slides in PDF (one slide per page, suitable for importing into IWB software) Teacher resources for Part 2 Teachers: log in to access the following: Slides in PDF (one slide per page, suitable for importing into IWB software) Links to past exam questions Teachers: log in to access these.