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Curated Video
Simplifying before multiplying with multiple expressions
Pupil outcome: I can recognise when I can simplify before multiplying expressions by their respective terms. Key learning points: - Collecting together like terms simplifies the expression. - Simplifying may be possible before...
Curated Video
Converting between metres and centimetres
Pupil outcome: I can convert between metres and centimetres. Key learning points: - Using the known fact that 100 cm are equivalent to 1 m can help us convert between cm and m. - Partitioning and using the relationship between 1 m and...
Curated Video
Quadratic sequences
Pupil outcome: I can find the n^th term formula for a quadratic sequence. Key learning points: - A quadratic sequence does not have a common difference. - The second differences between terms are equal. - The general n^th term formula is...
Curated Video
Polynomial Long Division
In this video, we work through a few examples of polynomial long division, and we relate it to long division of constants (regular numbers).
Curated Video
Factoring Basics
In this video, we do a quick few examples of factoring trinomials. To get a more conceptual understanding of why factoring by grouping works, please watch my other video: • Factor Polynomials by Grouping
Curated Video
Factor By Grouping (four terms)
In this video, we investigate how to factor by grouping when you are given four terms.
Curated Video
Polynomial Long Division (Missing Terms)
In this video, we factor polynomials with long division. Specifically, we look at examples where there is a "missing term," and we discover how to rewrite the polynomial so that it factors nicely.
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Factoring With Substitution
In this video, we will factor polynomials that don't initially appear to be in the form of a quadratic. We will accomplish this by rewriting them in the form of a quadratic with substitution.
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Factoring Special Products 1
In this video, we factor special product binomials. Specifically, we factor difference of square, sum of cubes, and difference of cubes.
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Factoring Special Products 2
Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...
Curated Video
Solving Other Types of Equations 1 - Using substitution to change equations into quadratics
In this video, we use substitution to take equations and rewrite them in the form of a quadratic so that we can solve them.
Curated Video
Vertex Form Extensions
In this video, we will work three problems using vertex form. 0:00 - rewriting standard form to vertex form. 3:25 - writing in vertex form when given vertex and another point on the parabola 5:54 - 2nd example of writing in vertex form...
Curated Video
Rewriting a polynomial as its linear factors (Determining Factors of Polynomials)
In this video, we rewrite polynomials into factored form when given a zero.
Curated Video
Using Explicit and Recursive Rules
In this video, we learn how to use explicit and recursive rules for sequences.
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Rational Equations
In this video, we solve rational equations by finding a common denominator.
Curated Video
Explicit Rule for Arithmetic Sequences - 1
How do you write the equation for an arithmetic sequence? This video answers this question. An arithmetic sequence is a sequence that adds or subtracts to find the next term (just like a linear function). We start by deriving the...
Curated Video
Sum of Finite Geometric Series
How do we add up the first "n" terms of a geometric sequence/series? In this video, we derive the equation to find the sum of a geometric series. Then, we use that rule to solve a few example problems where we add up the terms in a...
Curated Video
Rewriting repeating decimal as fraction (infinite geometric series)
How do geometric sequences & series relate to repeating decimals? In this video we investigate how our knowledge of sum of infinite geometric series help us rewrite repeating decimals as fractions.
Curated Video
Factoring Polynomials using the Box Method 1
This is the first of my videos on factoring polynomials using the box method. Factoring polynomials is never easy, but I've seen several different strategies and I love the box method!
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Factoring Polynomials using the Box Method (a is greater than 1)
How do you factor polynomials with the box method when the leading coefficient isn't 1? This video explains how to factor this type of problem with a box.
Curated Video
Factoring Polynomials using the Box Method 3
This is the third of my videos on factoring polynomials using the box method. Factoring polynomials is never easy, but I've seen dozens of different strategies and the box method is the BEST
Curated Video
Multiplying Polynomials with the Distributive Property (and Box Method)
This video explains the connection between the box method and the distributive property when multiplying polynomials. The first example multiplies two binomials, while the second example multiples a trinomial and a binomial.
Curated Video
Distributive Prop and Combining Like Terms
In this video, we simplify expressions by using the distributive property and combining like terms.
Curated Video
Factoring a Difference of Two Squares
Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...