Instructional Video14:41
Brian McLogan

Mastering Quadratics in Easy Steps

12th - Higher Ed
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.
Instructional Video5:40
Brian McLogan

Classic Mistake Solving Rational Equations

12th - Higher Ed
In this video I am going to work through a common mistake I see students make when solving rational equations.
Instructional Video12:53
Brian McLogan

3 Mistakes With Rational Functions

12th - Higher Ed
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.
Instructional Video24:33
Curated Video

Spelling words with contracted forms

Pre-K - Higher Ed
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...
Instructional Video25:33
Curated Video

Spelling further homophones

Pre-K - Higher Ed
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. -...
Instructional Video18:42
Curated Video

The laws of indices - division

Pre-K - Higher Ed
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...
Instructional Video21:10
Curated Video

Fluency in arithmetic procedures with algebraic vector notation

Pre-K - Higher Ed
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.
Instructional Video24:56
Curated Video

Factorising using the difference of two squares

Pre-K - Higher Ed
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...
Instructional Video24:15
Curated Video

The laws of indices - raising a power to a power

Pre-K - Higher Ed
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...
Instructional Video25:42
Curated Video

Multiples of 10 involving negative exponents

Pre-K - Higher Ed
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...
Instructional Video18:42
Curated Video

Checking and securing understanding of calculations involving negative numbers

Pre-K - Higher Ed
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...
Instructional Video26:05
Curated Video

Factorising a quadratic expression

Pre-K - Higher Ed
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...
Instructional Video26:03
Curated Video

The product of three binomials

Pre-K - Higher Ed
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...
Instructional Video26:06
Curated Video

The product of two binomials

Pre-K - Higher Ed
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...
Instructional Video28:21
Curated Video

Spelling words using the apostrophe for possession or contraction

Pre-K - Higher Ed
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...
Instructional Video28:27
Curated Video

Operations with algebraic fractions

Pre-K - Higher Ed
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...
Instructional Video28:11
Curated Video

Checking and securing understanding of the product of two binomials

Pre-K - Higher Ed
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...
Instructional Video29:39
Curated Video

Changing the subject with multiple algebraic fractions

Pre-K - Higher Ed
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...
Instructional Video28:58
Curated Video

Difference of two squares

Pre-K - Higher Ed
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...
Instructional Video29:55
Curated Video

More complex binomial products

Pre-K - Higher Ed
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...
Instructional Video32:16
Curated Video

Problem solving with expressions and formulae

Pre-K - Higher Ed
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...
Instructional Video31:27
Curated Video

Checking and securing understanding of the distributive law with algebraic terms

Pre-K - Higher Ed
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. -...
Instructional Video34:44
Curated Video

Brackets in equations

Pre-K - Higher Ed
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...
Instructional Video1:58
Curated Video

Why Any Number to the Zero Power is One

9th - Higher Ed
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...