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Brian McLogan
Mastering Quadratics in Easy Steps
Let's master how to solve quadratic equations in some easy to understand steps. In this video we will cover the square root method, factoring out the GCF, factoring trinomials and using the quadratic formula.
Brian McLogan
Classic Mistake Solving Rational Equations
In this video I am going to work through a common mistake I see students make when solving rational equations.
Brian McLogan
3 Mistakes With Rational Functions
In this video I am going to work through three different examples of mistakes students make with Rational functions. From Simplifying rational expressions to graphing rational functions to solving rational equations.
Curated Video
Spelling words with contracted forms
Pupil outcome: I can spell words with contracted forms, such as isn't and can't. Key learning points: - In contractions, the apostrophe shows where a letter or letters would be if the words were written in full. - Saying the expanded...
Curated Video
Spelling further homophones
Pupil outcome: I can identify the correct spelling of words that sound the same based on their context. Key learning points: - Two or more words that sound the same but have different meanings or spellings are called homophones. -...
Curated Video
The laws of indices - division
Pupil outcome: I can use the laws of indices to divide two powers where the bases are the same. Key learning points: - When dividing two terms, you can sometimes write this more simply. - If the powers have the same base, then the powers...
Curated Video
Fluency in arithmetic procedures with algebraic vector notation
Pupil outcome: I can carry out arithmetic procedures on vectors written algebraically. Key learning points: - Priority of operations still apply. - Like terms can be collected. - The vectors can be sketched and the resultant shown.
Curated Video
Factorising using the difference of two squares
Pupil outcome: I can factorise quadratics of the form x^2 + bx + c including using the difference of two squares. Key learning points: - When the coefficient of the x term is zero, you may still be able to factorise. - There is a...
Curated Video
The laws of indices - raising a power to a power
Pupil outcome: I can use the laws of indices to simplify a power raised to another power. Key learning points: - The index tells you how many identical terms you must multiply together. - By studying the structure of multiplication, you...
Curated Video
Multiples of 10 involving negative exponents
Pupil outcome: I can write any integer in a range of forms. Key learning points: - A positive exponent tells you how many identical values must be multiplied together. - Dividing by 10^n is the same as multiplying by its reciprocal. - A...
Curated Video
Checking and securing understanding of calculations involving negative numbers
Pupil outcome: I can evaluate calculations involving positive and negative integers. Key learning points: - Addition of negative integers can be made easier by considering zero pairs. - Subtractions can all be re-written as additions of...
Curated Video
Factorising a quadratic expression
Pupil outcome: I can factorise quadratics of the form x^2 + bx + c Key learning points: - The distributive law can be used to find the two factors of a quadratic expression with three non-zero terms. - An area model can be used to...
Curated Video
The product of three binomials
Pupil outcome: I can use the distributive law to find the product of three binomials. Key learning points: - The distributive law can be used to find the product of three (or more) binomials. - This can be done by finding the product of...
Curated Video
The product of two binomials
Pupil outcome: I can use the distributive law to find the product of two binomials. Key learning points: - The distributive law can be used to find the product of two binomials. - An area model can be used to explore the underlying...
Curated Video
Spelling words using the apostrophe for possession or contraction
Pupil outcome: I can spell words using the apostrophe for singular possession or contraction. Key learning points: - An apostrophe has more than one purpose. - An apostrophe can show contraction or possession. - It's is the contracted...
Curated Video
Operations with algebraic fractions
Pupil outcome: I can multiply, divide, add and subtract with algebraic fractions. Key learning points: - When multiplying/dividing, it can be easier to fully factorise every expression first. - When dividing by an expression, it is...
Curated Video
Checking and securing understanding of the product of two binomials
Pupil outcome: I can use the distributive law to find the product of two binomials. Key learning points: - The distributive law can be used to find the product of two binomials. - An area model can be used to explore the underlying...
Curated Video
Changing the subject with multiple algebraic fractions
Pupil outcome: I can change the subject of a formula involving multiple algebraic fractions. Key learning points: - It is important to identify which variable is to become the subject. - Like terms containing the new subject should be...
Curated Video
Difference of two squares
Pupil outcome: I can use the special case when the product of two binomials is the difference of two squares. Key learning points: - The product of two binomials often produces three terms. - There are cases where the coefficient of the...
Curated Video
More complex binomial products
Pupil outcome: I can find more complex binomial products. Key learning points: - The coefficients of the variable(s) may not be one. - Sometimes the terms within each binomial are not in the same order. - Multiplication and...
Curated Video
Problem solving with expressions and formulae
Pupil outcome: I can use my knowledge of expressions and formulae to solve problems. Key learning points: - Expressions can be used whenever you wish to generalise. - This can be very useful when there is something you do not know and...
Curated Video
Checking and securing understanding of the distributive law with algebraic terms
Pupil outcome: I can use the distributive law to multiply an expression by a term. Key learning points: - The distributive law can be understood using an area model. - The distributive law can help us multiply an expression by a term. -...
Curated Video
Brackets in equations
Pupil outcome: I can appreciate the significance of the bracket in an equation. Key learning points: - Multiplying both sides of an equation by the same term can be shown using brackets. - An expression involving brackets can be...
Curated Video
Why Any Number to the Zero Power is One
In this video, we explore what happens when powers are simplified to result in an exponent of zero. You will discover why any non-zero number raised to the power of zero equals one through clear explanations and a step-by-step...