Module 1 đ
Solving Equations
Solve always means find the letter on it's own. To move things from one side of an equation to the other we do the inverse, or "opposite". If we have more than one term that includes the letter we need to group these together first.
Estimated Working Time
âł 12 mins
Lesson Checklist
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Solving Inequalities
We solve an inequality in the exact same way as an equation - we just keep the inequality sign given in the question. Our answer will respresent a range of values rather than an exact value.
Estimated Working Time
âł 10 mins
Module 3 đ
Changing the Subject
When we are told to make something the subject of a formula this means we need to get that letter on it's own. We do this in a similar way to solving equatiosn - we move each part by doing the opposite. Our answers will be algebraic instead of numerical but the process is largely the same.
Estimated Working Time
âł 12 mins
Module 4 đ
Harder Changing the Subject
The difference with this version of changing the subject is that the desired subject will appear more than once. The idea here is to group every term with the subject on to the same side before factorising and dividing.
Estimated Working Time
âł 12 mins
Module 5 đ
Expanding Single Brackets
For the most part whenever we have brackets we want to expand them. This means multiply. We need to multiply every term inside the bracket individually by the term on the outside. Take extra care when we have negatives involved!
Estimated Working Time
âł 8 mins
Module 6 đ
Factorising Single Brackets
The word factorise means put in to brackets. It is the exact opposite of expanding brackets. We do this by finding a common factor and dividing each term individually by the factor. If you want to double check your answer you can always expand what you've got.
Estimated Working Time
âł 9 mins
Module 7 đ
Collecting Like Terms
Collecting like terms is about grouping together parts of an expression that are the same. We will use our expanding work previously. The most common mistake here is with negative numbers - take your time and be accurate.
Estimated Working Time
âł 9 mins
Module 8 đ
Expanding Double Brackets
When expanding double brackets we use an acronym called FOIL. It stands for First - Outside - Inside - Last. This is a way to make sure we multiply each term in the first bracket by each term in the second. We then group our middle terms together using the work from the previous module.
Estimated Working Time
âł 11 mins
Module 9 đ
Expanding Triple Brackets
To expand triple brackets we use FOIL to expand the first two brackets. After simplifying we can multiply each term we have just found by both terms in the final bracket individually. We will then collect our like terms to leave our answer in it's simplest form.
Estimated Working Time
âł 12 mins
Module 10 đ
Indice Laws
Indice laws refers to a new set of rules we use when working with powers. We work with each letter individually. It is really important to distinguish between our number laws and our indice laws.
Estimated Working Time
âł 10 mins
Module 11 đ
Negative Indices
A negative indice means we find the reciprocal. This effectively means we flip the number upside down. Once we have used the negative we use the power as normal. We need to raise the top and the bottom of a fraction to the indice to get our final answer.
Estimated Working Time
âł 8 mins
Module 12 đ
Fractional Indices
A fractional indice relates to a root. Whatever the denominator is we perform that root. We can then raise it to the power as normal afterwards. The order I normally use is negatives, denominators then numerators.
Estimated Working Time
âł 10 mins
Recap Worksheet
Let's test what you have learnt!
The following worksheet will revisit all of the skills you have practiced throughout this block. This is a good chance to see where your algebra is at and to get feedback on what may be worth recapping! Try and answer each question to the best of your ability, and if you need reminding you can watch the videos above. Good luck!
Estimated Working Time
âł 20 mins